  
  
  [1XIndex[101X
  
  ActedGRoup  3.
  ActingGRoup  3.
  AcyclicSubomplexOfPureCubicalComplex  29.
  Add  34.
  AddFreeWords  20.
  AddFreeWordsModP  20.
  AlexanderMatrix  31.
  AlexanderPolynomial  1.
  AlexanderPolynomial  31.
  AlgebraicReduction  20.
  Append  34.
  AreIsomorphicGradedAlgebras  2.
  Array  34.
  ArrayAssign  34.
  ArrayAssignFunctions  34.
  ArrayDimension  34.
  ArrayDimensions  34.
  ArrayIterate  34.
  ArraySum  34.
  ArrayToPureCubicalComplex  29.
  ArrayValue  34.
  ArrayValueFunctions  34.
  AutomorphismGroupAsCatOneGroup  24.
  BaerInvariant  15.
  Bar Cocomplex  25.
  Bar Complex  25.
  Bar Resolution  25.
  BarCocomplexCoboundary  25.
  BarCode  11.
  BarCodeCompactDisplay  1.
  BarCodeCompactDisplay  11.
  BarCodeDisplay  1.
  BarCodeDisplay  11.
  BarComplexBoundary  25.
  BarComplexEquivalence  25.
  BarResolutionBoundary  25.
  BarResolutionEquivalence  25.
  BarResolutionHomotopy  25.
  BettiNumber  1.
  Bettinumbers  10.
  Bettinumbers  28.
  Bettinumbers  29.
  BigStepLCS  38.
  BinaryArrayToTextFile  34.
  Bogomology  15.
  BogomolovMultiplier  15.
  BoundaryMap  1.
  BoundaryMap  37.
  BoundaryMatrix  37.
  BoundaryOfPureCubicalComplex  29.
  BoundingPureCubicalComplex  29.
  CategoricalEnrichment  33.
  CategoryName  33.
  CayleyGraphOfGroup  1.
  CayleyGraphOfGroup  28.
  CayleyGraphOfGroupDisplay  1.
  CayleyGraphOfGroupDisplay  17.
  CayleyMetric  1.
  CayleyMetric  32.
  CcGroup  3.
  CcGroup (HAPcocyclic)  19.
  CechComplexOfPureCubicalComplex  28.
  Centre  23.
  Centre  3.
  ChainComplex  1.
  ChainComplex  30.
  ChainComplex  9.
  ChainComplexEquivalence  1.
  ChainComplexOfPair  9.
  ChainComplexOfQuotient  1.
  ChainComplexOfRegularCWComplex  30.
  ChainComplexOfSimplicialGroup  25.
  ChainInclusionOfPureCubicalPair  29.
  ChainMap  1.
  ChainMapOfPureCubicalPairs  29.
  ChainMapOfSimplicialMap  28.
  ChevalleyEilenbergComplex  9.
  ChildClose  35.
  ChildCommand  35.
  ChildCreate  4.
  ChildFunction  36.
  ChildGet  35.
  ChildKill  4.
  ChildProcess  35.
  ChildPut  35.
  ChildRead  36.
  ChildReadEval  36.
  Classify  38.
  CliqueComplex  1.
  CochainComplex  1.
  Coclass  15.
  CocycleCondition  19.
  CocycleCondition  3.
  Cohomology  1.
  Cohomology  11.
  CohomologyModule  11.
  CohomologyModule  3.
  CohomologyPrimePart  11.
  ComplementOfFilteredPureCubicalComplex  29.
  ComplementOfPureCubicalComplex  29.
  Compose(f,g)  38.
  CompositionSeriesOfFpGModules  21.
  ConcentricFiltration  1.
  ConjugatedResolution  5.
  ContractCubicalComplex  29.
  ContractedComplex  1.
  ContractedComplex  29.
  ContractGraph  28.
  ContractibleGcomplex  18.
  ContractibleSubcomplex  1.
  ContractibleSubcomplexOfSimplicialComplex  28.
  ContractibleSubomplexOfPureCubicalComplex  29.
  ContractPureCubicalComplex  29.
  CoreducedChainComplex  9.
  CountingBaryCentricSubdividedCells  27.
  CountingCellsOfACellComplex  27.
  CountingControlledSubdividedCells  27.
  CoxeterComplex  18.
  CoxeterDiagramComponents  26.
  CoxeterDiagramDegree  26.
  CoxeterDiagramDisplay  26.
  CoxeterDiagramFpArtinGroup  26.
  CoxeterDiagramFpCoxeterGroup  26.
  CoxeterDiagramIsSpherical  26.
  CoxeterDiagramMatrix  26.
  CoxeterDiagramVertices  26.
  CoxeterSubDiagram  26.
  CriticalCells  1.
  CriticalCellsOfRegularCWComplex  30.
  CropPureCubicalComplex  29.
  CubicalComplex  1.
  CubicalComplexToRegularCWComplex  30.
  CupProduct  1.
  Dendrogram  29.
  DendrogramDisplay  29.
  DendrogramMat  1.
  DendrogramToPersistenceMat  29.
  DesuspensionFpGModule  21.
  DesuspensionMtxModule  22.
  DiagonalApproximation  1.
  Dimension  37.
  DirectProduct  1.
  DirectProductGog  23.
  DirectProductOfPureCubicalComplexes  29.
  DirectSumOfFpGModules  21.
  Display  1.
  DisplayArcPresentation  1.
  DisplayAvailableCellComplexes  27.
  DisplayCSVknotFile  1.
  DisplayDendrogram  1.
  DisplayDendrogramMat  1.
  DisplayPDBfile  1.
  DVFReducedCubicalComplex  29.
  EilenbergMacLaneSimplicialGroup  25.
  EilenbergMacLaneSimplicialGroupMap  25.
  EpiCentre  15.
  EquivariantChainMap  2.
  EquivariantChainMap  7.
  EquivariantEuclideanSpace  1.
  EquivariantEulerCharacteristic  27.
  EquivariantOrbitPolytope  1.
  EquivariantSpectralSequencePage  27.
  EquivariantTwoComplex  1.
  EuclideanApproximatedMetric  32.
  EuclideanMetric  1.
  EuclideanSquaredMetric  1.
  EuclideanSquaredMetric  32.
  EulerCharacteristic  1.
  EulerCharacteristic  28.
  EulerIntegral  1.
  EvaluateProperty  37.
  EvenSubgroup  26.
  ExpansionOfRationalFunction  12.
  ExportHapCellcomplexToDisk  27.
  ExtendScalars  8.
  FilteredTensorWithIntegers  8.
  FilteredTensorWithInteres  1.
  FilteredTensorWithInteresModP  1.
  FiltrationTerm  1.
  FpG_to_MtxModule  22.
  FpGModule  21.
  FpGModuleDualBasis  21.
  FpGModuleHomomorphism  21.
  FrameArray  34.
  FramedPureCubicalComplex  29.
  FreeGResolution  2.
  FreeGResolution  5.
  FundamentalDomainStandardSpaceGroup (HAPcryst)  18.
  FundamentalGroup  1.
  FundamentalGroup  30.
  FundamentalGroupOfQuotient  1.
  FundamentalGroupOfRegularCWComplex  30.
  GeneratorsOfFpGModule  21.
  GeneratorsOfMtxModule  22.
  GOuterGroup  23.
  GOuterGroup  3.
  GOuterGroupHomomorphismNC  23.
  GOuterHomomorphismTester  23.
  Graph  1.
  GraphDisplay  28.
  GraphOfGroups  26.
  GraphOfGroupsDisplay  26.
  GraphOfGroupsTest  26.
  GraphOfResolutions  26.
  GraphOfResolutionsDisplay  26.
  GraphOfSimplicialComplex  28.
  GroupAlgebraAsFpGModule  2.
  GroupAlgebraAsFpGModule  21.
  GroupCohomology  11.
  GroupCohomology  2.
  GroupHomology  11.
  GroupHomology  2.
  GroupHomologyOfCommutativeDiagram  33.
  GroupOfResolution  37.
  HammingMetric  1.
  HammingMetric  32.
  HAPcopyright  38.
  HAPDerivation  2.
  HAPPrintTo  35.
  HAPRead  35.
  HasInitialObject  33.
  HasTerminalObject  33.
  HenonOrbit  1.
  HilbertPoincareSeries  2.
  Homology  1.
  Homology  11.
  Homology  29.
  HomologyOfDerivation  2.
  HomologyPb  11.
  HomologyPrimePart  11.
  HomologyVectorSpace  11.
  HomomorphismChainToCommutativeDiagram  33.
  HomotopyEquivalentMaximalPureCubicalSubcomplex  29.
  HomotopyEquivalentMinimalPureCubicalSubcomplex  29.
  HomotopyGraph  1.
  HomotopyGroup  24.
  HomotopyGroup  25.
  HomotopyModule  24.
  HomToGModule  3.
  HomToGModule  8.
  HomToIntegers  1.
  HomToIntegers  2.
  HomToIntegers  8.
  HomToIntegersModP  8.
  HomToIntegralModule  2.
  HomToIntegralModule  8.
  IdentityAmongRelatorsDisplay  17.
  IdentityArrow  33.
  ImageOfFpGModuleHomomorphism  21.
  IncidenceMatrixToGraph  28.
  InduceScalars  8.
  InitialArrow  33.
  IntegralCohomologyGenerators  2.
  IntegralCupProduct  13.
  IntegralRingGenerators  13.
  IntersectionOfFpGModules  21.
  IsAspherical  1.
  IsAspherical  17.
  IsAvailableChild  35.
  IsCategoryArrow  33.
  IsCategoryObject  33.
  IsFpGModuleHomomorphismData  21.
  IsLieAlgebraHomomorphism  38.
  IsPNormal  27.
  IsSuperperfect  38.
  KendallMetric  1.
  KendallMetric  32.
  KnotGroup  1.
  KnotGroup  31.
  KnotReflection  1.
  KnotSum  1.
  KnotSum  31.
  LefschetzNumber  9.
  LeibnizAlgebraHomology  11.
  LeibnizComplex  2.
  LeibnizComplex  9.
  LeibnizQuasiCoveringHomomorphism  16.
  Length  37.
  LHSSpectralSequence  2.
  LHSSpectralSequenceLastSheet  2.
  LieAlgebraHomology  11.
  LieCoveringHomomorphism  16.
  LieEpiCentre  16.
  LieExteriorSquare  16.
  LieTensorCentre  16.
  LieTensorSquare  16.
  LinearHomomorphismsPersistenceMat  38.
  ListToPseudoList  34.
  LowerCentralSeriesLieAlgebra  8.
  MakeHAPManual  38.
  ManhattanMetric  1.
  ManhattanMetric  32.
  Map  37.
  Mapping  33.
  MaximalSimplicesToSimplicialComplex  28.
  MaximalSubmoduleOfFpGModule  21.
  MaximalSubmodulesOfFpGModule  21.
  Mod2CohomologyRingPresentation  2.
  Mod2CohomologyRingPresentation (HAPprime)  14.
  ModPCohomologyGenerators  13.
  ModPCohomologyGenerators  2.
  ModPCohomologyRing  13.
  ModPCohomologyRing  2.
  ModPRingGenerators  13.
  ModuleAsCatOneGroup  24.
  MooreComplex  24.
  MooreComplex  25.
  MorseFiltration  29.
  MultipleOfFpGModule  21.
  MultiplyWord  20.
  Negate  20.
  NegateWord  20.
  Nerve  1.
  NerveOfCatOneGroup  25.
  NerveOfCommutativeDiagram  33.
  NextAvailableChild  35.
  NonabelianExteriorProduct  15.
  NonabelianSymmetricKernel  15.
  NonabelianSymmetricSquare  15.
  NonabelianTensorProduct  15.
  NonabelianTensorSquare  15.
  NormalSeriesToQuotientDiagram  33.
  NormalSeriesToQuotientHomomorphisms  38.
  NormalSubgroupAsCatOneGroup  24.
  Object  33.
  OrbitPolytope  1.
  OrbitPolytope  18.
  OrientRegularCWComplex  1.
  ParallelList  36.
  PathComponent  1.
  PathComponentOfPureCubicalComplex  29.
  PathComponentsOfGraph  28.
  PathComponentsOfSimplicialComplex  28.
  PermGroupToFilteredGraph  32.
  PermToMatrixGroup  38.
  PermuteArray  34.
  PersistentBettiNumbers  1.
  PersistentCohomologyOfQuotientGroupSeries  11.
  PersistentHomologyOfCommutativeDiagramOfPGroups  33.
  PersistentHomologyOfFilteredChainComplex  11.
  PersistentHomologyOfFilteredPureCubicalComplex  11.
  PersistentHomologyOfFilteredPureCubicalComplex  29.
  PersistentHomologyOfPureCubicalComplex  11.
  PersistentHomologyOfQuotientGroupSeries  11.
  PersistentHomologyOfSubGroupSeries  11.
  PiZero  1.
  PoincareSeries  12.
  PoincareSeries  2.
  PoincareSeries  2.
  PoincareSeriesLHS (HAPprime)  14.
  PoincareSeriesPrimePart  12.
  PolytopalComplex  18.
  PolytopalGenerators  18.
  Prank  12.
  PresentationOfResolution  17.
  PrimePartDerivedFunctor  11.
  PrimePartDerivedFunctor  2.
  PrintZGword  20.
  ProjectedFpGModule  21.
  ProjectionOfPureCubicalComplex  31.
  PureComplexBoundary  1.
  PureComplexComplement  1.
  PureComplexDifference  1.
  PureComplexIntersection  1.
  PureComplexThickened  1.
  PureComplexToSimplicialComplex  28.
  PureComplexUnion  1.
  PureCubicalComplex  1.
  PureCubicalComplex  29.
  PureCubicalComplexDifference  29.
  PureCubicalComplexIntersection  29.
  PureCubicalComplexToTextFile  29.
  PureCubicalComplexUnion  29.
  PureCubicalKnot  1.
  PureCubicalKnot  31.
  PurePermutahedralComplex  1.
  PurePermutahedralKnot  1.
  QuasiIsomorph  24.
  QuillenComplex  1.
  QuillenComplex  28.
  QuotientOfContractibleGcomplex  18.
  Radical  2.
  RadicalOfFpGModule  21.
  RadicalSeries  2.
  RadicalSeriesOfFpGModule  21.
  RandomCubeOfPureCubicalComplex  29.
  RandomHomomorphismOfFpGModules  21.
  RandomSimplicialGraph  1.
  RandomSimplicialTwoComplex  1.
  Rank  21.
  RankHomologyPGroup  11.
  RankHomologyPGroup  2.
  RankMat  10.
  RankMatDestructive  10.
  RankPrimeHomology  11.
  ReadCSVfileAsPureCubicalKnot  1.
  ReadImageAsFilteredPureCubicalComplex  1.
  ReadImageAsFilteredPureCubicalComplex  29.
  ReadImageAsPureCubicalComplex  1.
  ReadImageAsPureCubicalComplex  29.
  ReadImageAsWeightFunction  1.
  ReadImageSequenceAsPureCubicalComplex  29.
  ReadLinkImageAsPureCubicalComplex  29.
  ReadPDBfileAsPureCubicalComplex  1.
  ReadPDBfileAsPureCubicalComplex  31.
  ReadPDBfileAsPurePermutahedralComplex  1.
  RecalculateIncidenceNumbers  5.
  ReducedSuspendedChainComplex  9.
  ReduceTorsionSubcomplex  27.
  RefineClassification  38.
  RegularCWComplex  1.
  RegularCWMap  1.
  RegularCWPolytope  1.
  RelativeSchurMultiplier  15.
  ResolutionAbelianGroup  5.
  ResolutionAlmostCrystalGroup  5.
  ResolutionAlmostCrystalQuotient  5.
  ResolutionArithmeticGroup  5.
  ResolutionArtinGroup  5.
  ResolutionAsphericalPresentation  5.
  ResolutionBieberbachGroup  2.
  ResolutionBieberbachGroup (HAPcryst)  5.
  ResolutionBoundaryOfWord  20.
  ResolutionCoxeterGroup  5.
  ResolutionCubicalCrystGroup  2.
  ResolutionDirectProduct  5.
  ResolutionExtension  5.
  ResolutionFiniteDirectProduct  5.
  ResolutionFiniteExtension  5.
  ResolutionFiniteGroup  2.
  ResolutionFiniteGroup  5.
  ResolutionFiniteSubgroup  5.
  ResolutionFpGModule  6.
  ResolutionGraphOfGroups  5.
  ResolutionGTree  5.
  ResolutionNilpotentGroup  2.
  ResolutionNilpotentGroup  5.
  ResolutionNormalSeries  2.
  ResolutionNormalSeries  5.
  ResolutionPrimePowerGroup  2.
  ResolutionPrimePowerGroup  5.
  ResolutionSL2Z  2.
  ResolutionSL2Z  5.
  ResolutionSmallFpGroup  5.
  ResolutionSmallGroup  2.
  ResolutionSubgroup  2.
  ResolutionSubgroup  5.
  ResolutionSubnormalSeries  5.
  RestrictedEquivariantCWComplex  1.
  ReverseSparseMat  10.
  RigidFacetsSubdivision  27.
  RipsChainComplex  28.
  RipsHomology  11.
  ScatterPlot  1.
  SimplicialComplex  1.
  SimplicialComplexToRegularCWComplex  30.
  SimplicialGroupMap  25.
  SimplicialMap  28.
  SimplicialMapNC  28.
  SimplicialNerveOfGraph  28.
  SimplifiedComplex  1.
  SingularitiesOfPureCubicalComplex  29.
  Size  1.
  SkeletonOfCubicalComplex  29.
  SkeletonOfSimplicialComplex  28.
  SL2Z  38.
  SolutionsMatDestructive  38.
  Source  33.
  Source  37.
  SparseBoundaryMatrix  10.
  SparseChainComplex  10.
  SparseChainComplexOfRegularCWComplex  10.
  SparseMat  10.
  SparseRowAdd  10.
  SparseRowInterchange  10.
  SparseRowMult  10.
  SparseSemiEchelon  10.
  StandardCocycle  19.
  StandardCocycle  3.
  SumOfFpGModules  21.
  SumOp  21.
  SuspendedChainComplex  9.
  SuspensionOfPureCubicalComplex  29.
  SymmetricMatDisplay  32.
  SymmetricMatrixToFilteredGraph  1.
  SymmetricMatrixToFilteredGraph  32.
  SymmetricMatrixToGraph  1.
  SymmetricMatrixToIncidenceMatrix  28.
  Syzygy  19.
  Target  33.
  Target  37.
  TensorCentre  15.
  TensorProductOfChainComplexes  9.
  TensorWithIntegers  2.
  TensorWithIntegers  8.
  TensorWithIntegersModP  1.
  TensorWithIntegersModP  2.
  TensorWithIntegersModP  8.
  TensorWithIntegralModule  8.
  TensorWithRationals  8.
  TensorWithTwistedIntegers  8.
  TensorWithTwistedIntegersModP  8.
  TerminalArrow  33.
  TestHap  38.
  ThickenedPureCubicalComplex  29.
  ThickeningFiltration  1.
  ThickeningFiltration  29.
  ThirdHomotopyGroupOfSuspensionB  15.
  TietzeReducedResolution  5.
  TietzeReduction  20.
  TorsionGeneratorsAbelianGroup  17.
  TorsionSubcomplex  27.
  TransposeOfSparseMat  10.
  TreeOfGroupsToContractibleGcomplex  26.
  TreeOfResolutionsToContractibleGcomplex  26.
  TruncatedGComplex  18.
  TwistedTensorProduct  5.
  UnframeArray  34.
  UniversalBarCode  11.
  UpperEpicentralSeries  15.
  VectorStabilizer  18.
  VectorsToFpGModuleWords  21.
  VectorsToSymmetricMatrix  1.
  VectorsToSymmetricMatrix  28.
  VectorsToSymmetricMatrix  32.
  ViewPureCubicalComplex  29.
  ViewPureCubicalKnot  31.
  VisualizeTorsionSkeleton  27.
  WritePureCubicalComplexAsImage  29.
  XmodToHAP  24.
  ZigZagContractedComplex  1.
  ZigZagContractedPureCubicalComplex  29.
  ZZPersistentHomologyOfPureCubicalComplex  11.
  
  
  -------------------------------------------------------
