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