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