  
  
  [1XIndex[101X
  
  ActedGRoup  3.
  ActingGRoup  3.
  AcyclicSubomplexOfPureCubicalComplex  29.
  Add  35.
  AddFreeWords  20.
  AddFreeWordsModP  20.
  AlexanderMatrix  31.
  AlexanderPolynomial  1.
  AlexanderPolynomial  31.
  AlgebraicReduction  20.
  Append  35.
  AreIsomorphicGradedAlgebras  2.
  Array  35.
  ArrayAssign  35.
  ArrayAssignFunctions  35.
  ArrayDimension  35.
  ArrayDimensions  35.
  ArrayIterate  35.
  ArraySum  35.
  ArrayToPureCubicalComplex  29.
  ArrayValue  35.
  ArrayValueFunctions  35.
  AutomorphismGroupAsCatOneGroup  24.
  AutomorphismGroupQuandle  32.
  AutomorphismGroupQuandleAsPerm  32.
  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  39.
  BinaryArrayToTextFile  35.
  Bogomology  15.
  BogomolovMultiplier  15.
  BoundaryMap  1.
  BoundaryMap  38.
  BoundaryMatrix  38.
  BoundaryOfPureCubicalComplex  29.
  BoundingPureCubicalComplex  29.
  CategoricalEnrichment  34.
  CategoryName  34.
  CayleyGraphOfGroup  1.
  CayleyGraphOfGroup  28.
  CayleyGraphOfGroupDisplay  1.
  CayleyGraphOfGroupDisplay  17.
  CayleyMetric  1.
  CayleyMetric  33.
  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  36.
  ChildCommand  36.
  ChildCreate  4.
  ChildFunction  37.
  ChildGet  36.
  ChildKill  4.
  ChildProcess  36.
  ChildPut  36.
  ChildRead  37.
  ChildReadEval  37.
  Classify  39.
  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)  39.
  CompositionSeriesOfFpGModules  21.
  ConcentricFiltration  1.
  ConjugatedResolution  5.
  ConjugationQuandle  32.
  ConnectedQuandle  32.
  ConnectedQuandles  32.
  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  38.
  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  33.
  EuclideanMetric  1.
  EuclideanSquaredMetric  1.
  EuclideanSquaredMetric  33.
  EulerCharacteristic  1.
  EulerCharacteristic  28.
  EulerIntegral  1.
  EvaluateProperty  38.
  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  35.
  FramedPureCubicalComplex  29.
  FreeGResolution  2.
  FreeGResolution  5.
  FundamentalDomainStandardSpaceGroup (HAPcryst)  18.
  FundamentalGroup  1.
  FundamentalGroup  30.
  FundamentalGroupOfQuotient  1.
  FundamentalGroupOfRegularCWComplex  30.
  GaussCodeKnot  32.
  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  34.
  GroupOfResolution  38.
  HammingMetric  1.
  HammingMetric  33.
  HAPcopyright  39.
  HAPDerivation  2.
  HAPPrintTo  36.
  HAPRead  36.
  HasInitialObject  34.
  HasTerminalObject  34.
  HenonOrbit  1.
  HilbertPoincareSeries  2.
  Homology  1.
  Homology  11.
  Homology  29.
  HomologyOfDerivation  2.
  HomologyPb  11.
  HomologyPrimePart  11.
  HomologyVectorSpace  11.
  HomomorphismChainToCommutativeDiagram  34.
  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.
  IdConnectedQuandle  32.
  IdentityAmongRelatorsDisplay  17.
  IdentityArrow  34.
  IdQuandle  32.
  ImageOfFpGModuleHomomorphism  21.
  IncidenceMatrixToGraph  28.
  InduceScalars  8.
  InitialArrow  34.
  IntegralCohomologyGenerators  2.
  IntegralCupProduct  13.
  IntegralRingGenerators  13.
  IntersectionOfFpGModules  21.
  IsAspherical  1.
  IsAspherical  17.
  IsAvailableChild  36.
  IsCategoryArrow  34.
  IsCategoryObject  34.
  IsConnectedQuandle  32.
  IsFpGModuleHomomorphismData  21.
  IsLatin  32.
  IsLieAlgebraHomomorphism  39.
  IsPNormal  27.
  IsQuandle  32.
  IsQuandleEnvelope  32.
  IsSuperperfect  39.
  KendallMetric  1.
  KendallMetric  33.
  KnotGroup  1.
  KnotGroup  31.
  KnotInvariantCedric  32.
  KnotReflection  1.
  KnotSum  1.
  KnotSum  31.
  LefschetzNumber  9.
  LeibnizAlgebraHomology  11.
  LeibnizComplex  2.
  LeibnizComplex  9.
  LeibnizQuasiCoveringHomomorphism  16.
  Length  38.
  LHSSpectralSequence  2.
  LHSSpectralSequenceLastSheet  2.
  LieAlgebraHomology  11.
  LieCoveringHomomorphism  16.
  LieEpiCentre  16.
  LieExteriorSquare  16.
  LieTensorCentre  16.
  LieTensorSquare  16.
  LinearHomomorphismsPersistenceMat  39.
  ListToPseudoList  35.
  LowerCentralSeriesLieAlgebra  8.
  MakeHAPManual  39.
  ManhattanMetric  1.
  ManhattanMetric  33.
  Map  38.
  Mapping  34.
  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  34.
  NextAvailableChild  36.
  NonabelianExteriorProduct  15.
  NonabelianSymmetricKernel  15.
  NonabelianSymmetricSquare  15.
  NonabelianTensorProduct  15.
  NonabelianTensorSquare  15.
  NormalSeriesToQuotientDiagram  34.
  NormalSeriesToQuotientHomomorphisms  39.
  NormalSubgroupAsCatOneGroup  24.
  NumberOfHomomorphisms  32.
  Object  34.
  OrbitPolytope  1.
  OrbitPolytope  18.
  OrientRegularCWComplex  1.
  ParallelList  37.
  PartitionedNumberOfHomomorphisms  32.
  PathComponent  1.
  PathComponentOfPureCubicalComplex  29.
  PathComponentsOfGraph  28.
  PathComponentsOfSimplicialComplex  28.
  PD2GC  32.
  PermGroupToFilteredGraph  33.
  PermToMatrixGroup  39.
  PermuteArray  35.
  PersistentBettiNumbers  1.
  PersistentCohomologyOfQuotientGroupSeries  11.
  PersistentHomologyOfCommutativeDiagramOfPGroups  34.
  PersistentHomologyOfFilteredChainComplex  11.
  PersistentHomologyOfFilteredPureCubicalComplex  11.
  PersistentHomologyOfFilteredPureCubicalComplex  29.
  PersistentHomologyOfPureCubicalComplex  11.
  PersistentHomologyOfQuotientGroupSeries  11.
  PersistentHomologyOfSubGroupSeries  11.
  PiZero  1.
  PlanarDiagramKnot  32.
  PoincareSeries  12.
  PoincareSeries  2.
  PoincareSeries  2.
  PoincareSeriesLHS (HAPprime)  14.
  PoincareSeriesPrimePart  12.
  PolytopalComplex  18.
  PolytopalGenerators  18.
  Prank  12.
  PresentationKnotQuandle  32.
  PresentationKnotQuandleKnot  32.
  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.
  Quandle  32.
  QuandleAxiomIsSatisfied  32.
  QuandleQuandleEnveloppe  32.
  Quandles  32.
  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  39.
  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.
  RightMultiplicationGroup  32.
  RightMultiplicationGroupAsPerm  32.
  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  39.
  SolutionsMatDestructive  39.
  Source  34.
  Source  38.
  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  33.
  SymmetricMatrixToFilteredGraph  1.
  SymmetricMatrixToFilteredGraph  33.
  SymmetricMatrixToGraph  1.
  SymmetricMatrixToIncidenceMatrix  28.
  Syzygy  19.
  Target  34.
  Target  38.
  TensorCentre  15.
  TensorProductOfChainComplexes  9.
  TensorWithIntegers  2.
  TensorWithIntegers  8.
  TensorWithIntegersModP  1.
  TensorWithIntegersModP  2.
  TensorWithIntegersModP  8.
  TensorWithIntegralModule  8.
  TensorWithRationals  8.
  TensorWithTwistedIntegers  8.
  TensorWithTwistedIntegersModP  8.
  TerminalArrow  34.
  TestHap  39.
  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  35.
  UniversalBarCode  11.
  UpperEpicentralSeries  15.
  VectorStabilizer  18.
  VectorsToFpGModuleWords  21.
  VectorsToSymmetricMatrix  1.
  VectorsToSymmetricMatrix  28.
  VectorsToSymmetricMatrix  33.
  ViewPureCubicalComplex  29.
  ViewPureCubicalKnot  31.
  VisualizeTorsionSkeleton  27.
  WritePureCubicalComplexAsImage  29.
  XmodToHAP  24.
  ZigZagContractedComplex  1.
  ZigZagContractedPureCubicalComplex  29.
  ZZPersistentHomologyOfPureCubicalComplex  11.
  
  
  -------------------------------------------------------
