  
  
  [1XIndex[101X
  
  [10X*[110X 4.13 
      for character tables 71.7 
  [10X+[110X 4.13 
  [10X-[110X 4.13 
  [10X-a[110X 3.1 
  [10X-A[110X 3.1 
  [10X-b[110X 3.1 
  [10X-B[110X 3.1 
  [10X-D[110X 3.1 
  [10X-e[110X 3.1 
  [10X-E[110X 3.1 
  [10X-f[110X 3.1 
  [10X-g[110X 3.1 
  [10X-g -g[110X 3.1 
  [10X-h[110X 3.1 
  [2X-infinity[102X 18.2-1 
  [10X-K[110X 3.1 
  [10X-L[110X 3.1 
  [10X-l[110X 3.1 
  [10X-m[110X 3.1 
  [10X-M[110X 3.1 
  [10X-n[110X 3.1 
  [10X-o[110X 3.1 
  [10X-O[110X 3.1 
  [10X-P[110X 3.1 
  [10X-p[110X 3.1 
  [10X-q[110X 3.1 
  [10X-R[110X 3.1 
  [10X-r[110X 3.1 
  [10X-s[110X 3.1 
  [10X-T[110X 3.1 
  [10X-W[110X 3.1 
  [10X-x[110X 3.1 
  [10X-y[110X 3.1 
  [10X-z[110X 3.1 
  [10X/[110X 4.13 
      for character tables 71.7 
  [10X\"[110X 27.2 
  [10X\'[110X 27.2 
  [2X\*[102X 31.12-1 
      for pcwords 46.2-2 
  [10X\*[110X, for transformations 53.4 
  [2X\+[102X 31.12-1 
  [2X\.[102X 29.7-3 
  [2X\.\:\=[102X 29.7-3 
  [2X\/[102X 31.12-1 
      for a free group and a list of elements 47.2-1 
      for a free group and a list of pairs of elements 47.2-1 
      for a free semigroup or monoid and a list of pairs of elements 52.2-1 
  [10X\/[110X, for a transformation and a permutation 53.4 
  [10X\0xYZ[110X 27.2 
  [2X\<[102X 31.11-1 
      for associative words 37.3-2 
      for nonassociative words 36.2-2 
      for pcwords 46.2-1 
      for permutations 42.2-1 
  [10X\<[110X, for transformations 53.4 
  [2X\<[102X, for two elements in a f.p. group 47.3-2 
      for two strings 27.6-2 
  [2X\=[102X 31.11-1 
      for associative words 37.3-1 
      for nonassociative words 36.2-1 
      for pcwords 46.2-1 
      for permutations 42.2-1 
  [10X\=[110X, for transformations 53.4 
  [2X\=[102X, for two elements in a f.p. group 47.3-1 
      for two elements in a f.p. semigroup 52.3-1 
      for two strings 27.6-1 
  [2X\[\][102X 21.2-1 
  [2X\[\]\:\=[102X 21.2-1 
  [10X\\[110X 27.2 
  [2X\^[102X 31.12-1 
      for a field and a pair of integers 61.9-5 
      for a field and an integer 61.9-4 
  [10X\^[110X, for a positive integer and a transformation 53.4 
      for a transformation and a permutation 53.4 
  [10X\b[110X 27.2 
  [10X\c[110X 27.2 
  [2X\in[102X, element test for lists 21.8-1 
      for a collection 30.6-1 
      for strictly sorted lists 21.19-1 
  [2X\mod[102X 31.12-1 
      for residue class rings 14.5-1 
      for two pcgs 45.9-5 
  [10X\r[110X 27.2 
  [10X\XYZ[110X 27.2 
  [2X\{\}[102X 21.3-1 
  [2X\{\}\:\=[102X 21.4-1 
  [10X^[110X 4.13 
      for class functions 72.4 
  abelian number field 60.2-3 
  abelian number fields, CanonicalBasis 60.3 
      Galois group 60.4 
  [2XAbelianGroup[102X 50.1-3 
  [2XAbelianInvariants[102X 39.16-1 
      for a character table 71.8-5 
  [10XAbelianInvariants[110X, for groups 39.16-1 
  [2XAbelianInvariantsMultiplier[102X 39.24-3 
  [2XAbelianInvariantsNormalClosureFpGroup[102X 47.15-4 
  [2XAbelianInvariantsNormalClosureFpGroupRrs[102X 47.15-5 
  [2XAbelianInvariantsOfList[102X 25.2-10 
  [2XAbelianInvariantsSubgroupFpGroup[102X 47.15-1 
  [2XAbelianInvariantsSubgroupFpGroupMtc[102X 47.15-2 
  [2XAbelianInvariantsSubgroupFpGroupRrs[102X, for a group and a coset table 47.15-3 
      for two groups 47.15-3 
  [2XAbelianNumberField[102X 60.1-2 
  [2XAbelianSubfactorAction[102X 41.8-3 
  About [5XGAP[105X manual 1. 
  [2XAbsInt[102X 14.2-6 
  absolute value of an integer 14.2-6 
  [2XAbsoluteDiameter[102X 19.5-4 
  [2XAbsoluteIrreducibleModules[102X 71.15-2 
  [2XAbsolutelyIrreducibleModules[102X 71.15-2 
  [2XAbsoluteValue[102X 18.1-8 
      for floats 19.2-10 
  [2XAbsolutIrreducibleModules[102X 71.15-2 
  abstract word 36.1-1 
  [2XAbstractWordTietzeWord[102X 48.3-2 
  accessing, list elements 21.3 
      record elements 29.2 
  [2XAClosestVectorCombinationsMatFFEVecFFE[102X 23.6-5 
  [2XAClosestVectorCombinationsMatFFEVecFFECoords[102X 23.6-5 
  [2XAcos[102X 19.2-10 
  [2XAcosh[102X 19.2-10 
  [2XActingAlgebra[102X 62.11-13 
  [2XActingDomain[102X 41.12-3 
  action, by conjugation 41.2-1 
  [2XAction[102X, for a group, an action domain, etc. 41.7-2 
      for an external set 41.7-2 
  action, on blocks 41.2-4 
      on sets 41.2-4 
  [2XActionHomomorphism[102X, for a group, an action domain, etc. 41.7-1 
      for an action image 41.7-1 
      for an external set 41.7-1 
  actions 41.2 
  [2XActivateProfileColour[102X 7.8-18 
  [2XActorOfExternalSet[102X 41.12-15 
  [2XAdd[102X 21.4-2 
  add, an element to a set 21.19-4 
  [2XAddCoeffs[102X 23.4-2 
  [2XAddDictionary[102X 28.3-4 
  [2XAddGenerator[102X 48.5-1 
  [2XAddGeneratorsExtendSchreierTree[102X 43.11-10 
  addition 4.13 
      list and non-list 21.13-3 
      matrices 24.3 
      matrix and scalar 24.3 
      operation 31.12-1 
      rational functions 66.2 
      scalar and matrix 24.3 
      scalar and matrix list 24.3  24.3 
      vector and scalar 23.2 
      vectors 23.2 
  [2XAdditiveInverse[102X 31.10-9 
  [2XAdditiveInverseAttr[102X 31.10-9 
  [2XAdditiveInverseImmutable[102X 31.10-9 
  [2XAdditiveInverseMutable[102X 31.10-9 
  [2XAdditiveInverseOp[102X 31.10-9 
  [2XAdditiveInverseSameMutability[102X 31.10-9 
  [2XAdditiveInverseSM[102X 31.10-9 
  [2XAdditiveNeutralElement[102X 55.3-5 
  [2XAddRelator[102X 48.5-3 
  [2XAddRowVector[102X 23.4-1 
  [2XAddRule[102X 38.1-9 
  [2XAddRuleReduced[102X 38.1-10 
  [2XAddSet[102X 21.19-4 
  [2XAdjointAssociativeAlgebra[102X 64.9-2 
  [2XAdjointBasis[102X 62.9-5 
  [2XAdjointMatrix[102X 64.9-1 
  [2XAdjointModule[102X 62.11-19 
  [2XAffineAction[102X 45.14-4 
  [2XAffineActionLayer[102X 45.14-5 
  [2XAgemo[102X 39.14-2 
  [2XAlgebra[102X 62.2-1 
  [2XAlgebraByStructureConstants[102X 62.4-1 
  [2XAlgebraGeneralMappingByImages[102X 62.10-1 
  [2XAlgebraHomomorphismByImages[102X 62.10-2 
  [2XAlgebraHomomorphismByImagesNC[102X 62.10-3 
  [2XAlgebraicExtension[102X 67.1-1 
  [2XAlgebraicExtensionNC[102X 67.1-1 
  [2XAlgebraWithOne[102X 62.2-2 
  [2XAlgebraWithOneGeneralMappingByImages[102X 62.10-4 
  [2XAlgebraWithOneHomomorphismByImages[102X 62.10-5 
  [2XAlgebraWithOneHomomorphismByImagesNC[102X 62.10-6 
  [2XAllAutomorphisms[102X 40.9-3 
  [2XAllBlocks[102X 41.11-4 
  [2XAllEndomorphisms[102X 40.9-3 
  [2XAllHomomorphismClasses[102X 40.9-2 
  [2XAllHomomorphisms[102X 40.9-3 
  [10XAll[3XLibrary[103X[10XGroups[110X 50.5 
  [10XAllPrimitiveGroups[110X 50.5 
  [2XAllSmallNonabelianSimpleGroups[102X 39.15-16 
  [2XAllSubgroups[102X 39.19-7 
  [10XAllTransitiveGroups[110X 50.5 
  [2XAlpha[102X 75.2-1 
  [2XAlternatingGroup[102X, for a degree 50.1-9 
      for a domain 50.1-9 
  [9Xand[109X 20.4-2 
      for filters 13.2  20.4-2 
  [2XANFAutomorphism[102X 60.4-2 
  [2XAntiIsomorphismTransformationSemigroup[102X 53.7-6 
  antisymmetric relation 33.2-4 
  [2XAntiSymmetricParts[102X 72.11-3 
  [2XAppend[102X 21.4-5 
  [2XAppendTo[102X 9.7-3 
      for streams 10.4-4 
  [2XApplicableMethod[102X 7.2-1 
  [2XApplicableMethodTypes[102X 7.2-1 
  [2XApply[102X 21.20-10 
  [2XApplySimpleReflection[102X 64.7-4 
  [2XApproximateSuborbitsStabilizerPermGroup[102X 43.10-15 
  [2XARCH_IS_MAC_OS_X[102X 3.4-2 
  [2XARCH_IS_UNIX[102X 3.4-1 
  [2XARCH_IS_WINDOWS[102X 3.4-3 
  [10Xarg[110X, special function argument 4.23 
      special function argument, calling with 4.11-1 
  [2XArgument[102X, for complex floats 19.4-1 
  arithmetic operators, precedence 4.13 
  [2XArithmeticElementCreator[102X 80.9-1 
  [2XArrangements[102X 16.2-4 
  arrow notation for functions 4.23 
  [2XAsAlgebra[102X 62.9-7 
  [2XAsAlgebraWithOne[102X 62.9-8 
  [2XAsBinaryRelationOnPoints[102X, for a binary relation 33.3-3 
      for a permutation 33.3-3 
      for a transformation 33.3-3 
  [2XAsBlockMatrix[102X 24.17-1 
  [2XAscendingChain[102X 39.17-16 
  [2XAsDivisionRing[102X 58.1-9 
  [2XAsDuplicateFreeList[102X 21.20-5 
  [2XAsField[102X 58.1-9 
  [2XAsGroup[102X 39.2-5 
  [2XAsGroupGeneralMappingByImages[102X 40.1-5 
  [2XAsin[102X 19.2-10 
  [2XAsinh[102X 19.2-10 
  [2XAsInternalFFE[102X 59.2-6 
  [2XAsLeftIdeal[102X 56.2-11 
  [2XAsLeftModule[102X 57.1-5 
  [2XAsList[102X 30.3-8 
  [2XAsMagma[102X 35.2-10 
  [2XAsMonoid[102X 51.2-5 
  [2XAsPartialPerm[102X, for a permutation 54.4-1 
      for a permutation and a positive integer 54.4-1 
      for a permutation and a set of
      positive integers 54.4-1 
      for a transformation and a positive integer 54.4-2 
      for a transformation and a set of positive integer 54.4-2 
  [2XAsPermutation[102X 42.5-5 
  [2XAsPolynomial[102X 66.4-5 
  [2XAsRightIdeal[102X 56.2-11 
  [2XAsSemigroup[102X 51.1-6 
  [2XAssert[102X 7.5-3 
  [2XAssertionLevel[102X 7.5-2 
  [2XAsSet[102X 30.3-10 
  [2XAssignGeneratorVariables[102X 37.2-3 
  assignment, to a list 21.4 
      to a record 29.3 
      variable 4.15 
  [2XAssignNiceMonomorphismAutomorphismGroup[102X 40.8-1 
  [2XAssociatedPartition[102X 16.2-28 
  [2XAssociatedReesMatrixSemigroupOfDClass[102X 51.9-11 
  [2XAssociates[102X 56.5-4 
  associativity 4.13 
  [2XAssocWordByLetterRep[102X 37.6-9 
  [2XAsSortedList[102X 30.3-9 
  [2XAsSSortedList[102X 30.3-10 
  [10XAs[3XStruct[103X[10X[110X 31.4 
  [2XAsSubalgebra[102X 62.9-9 
  [2XAsSubalgebraWithOne[102X 62.9-10 
  [2XAsSubgroup[102X 39.3-4 
  [2XAsSubgroupOfWholeGroupByQuotient[102X 47.13-3 
  [2XAsSubmagma[102X 35.2-11 
  [2XAsSubmonoid[102X 51.2-6 
  [2XAsSubsemigroup[102X 51.1-7 
  [2XAsSubspace[102X 61.2-4 
  [10XAsSub[3Xstruct[103X[10X[110X 31.8 
  [2XAsTransformation[102X 53.3-1 
  [2XAsTwoSidedIdeal[102X 56.2-11 
  [2XAsVectorSpace[102X 61.2-3 
  at exit functions 6.7 
  [2XAtan[102X 19.2-10 
  [2XAtan2[102X 19.2-10 
  [2XAtanh[102X 19.2-10 
  [2XAtlasIrrationality[102X 18.4-6 
  atomic irrationalities 18.4 
  [2XAttributeValueNotSet[102X 13.6-3 
  [2XAugmentationIdeal[102X 65.1-7 
  [2XAugmentedCosetTableInWholeGroup[102X 47.9-1 
  [2XAugmentedCosetTableMtc[102X 47.9-2 
  [2XAugmentedCosetTableRrs[102X 47.9-3 
  automatic loading of GAP packages 76.2-1 
  automorphism group, of number fields 60.4 
  [2XAutomorphismDomain[102X 40.7-3 
  [2XAutomorphismGroup[102X 40.7-1 
  [10XAutomorphismGroup[110X, for groups with pcgs 45.16 
  [2XAutomorphismsOfTable[102X 71.9-4 
  autoreadable variables 76.12 
  [22Xb_N[122X (irrational value) 18.4-1 
  backslash character 27.2 
  backspace character 27.2 
  Backtrace, GAP3 name for Where 6.4-5 
  [10XBANNER[110X 77.4 
  banner, for a GAP package 76.16 
  [2XBaseFixedSpace[102X 24.7-8 
  [2XBaseIntersectionIntMats[102X 25.1-5 
  [2XBaseIntMat[102X 25.1-4 
  [2XBaseMat[102X 24.11-1 
  [2XBaseMatDestructive[102X 24.11-2 
  [2XBaseOfGroup[102X 43.10-2 
  [2XBaseOrthogonalSpaceMat[102X 24.11-3 
  [2XBaseStabChain[102X 43.10-1 
  [2XBaseSteinitzVectors[102X 24.11-5 
  [2XBasicSpinRepresentationOfSymmetricGroup[102X 39.24-9 
  [2XBasicWreathProductOrdering[102X 34.4-11 
  [2XBasis[102X 61.5-2 
  [2XBasisNC[102X 61.5-2 
  [2XBasisVectors[102X 61.6-1 
  [2XBell[102X 16.1-3 
  [2XBernoulli[102X 16.1-4 
  [2XBestQuoInt[102X 14.3-2 
  [2XBestSplittingMatrix[102X 71.17-5 
  [2XBiAlgebraModule[102X 62.11-6 
  [2XBiAlgebraModuleByGenerators[102X 62.11-3 
  [2XBibEntry[102X 76.3-15 
  [2XBilinearFormMat[102X 64.6-13 
  binary relation 33. 
  [2XBinaryRelationByElements[102X 33.1-2 
  [2XBinaryRelationOnPoints[102X 33.3-1 
  [2XBinaryRelationOnPointsNC[102X 33.3-1 
  [2XBindConstant[102X 4.9-8 
  [2XBindGlobal[102X 4.9-8 
  [2XBinomial[102X 16.1-2 
  [2XBisectInterval[102X 19.5-10 
  blank 4.4 
  [2XBlistList[102X 22.2-1 
  [2XBlockMatrix[102X 24.17-2 
  [2XBlocks[102X, for a group, an action domain, etc. 41.11-1 
      for an external set 41.11-1 
  [2XBlocksInfo[102X 71.11-3 
  [2XBlownUpMat[102X 24.13-3 
  [2XBlownUpVector[102X 24.13-4 
  [2XBlowupInterval[102X 19.5-9 
  [2XBlowUpIsomorphism[102X 44.3-3 
  body 4.23 
  [2XBombieriNorm[102X 66.12-1 
  bound 4.8 
  Brauer character 72.8-1 
  [2XBrauerCharacterValue[102X 72.15-2 
  [2XBrauerTable[102X, for a character table, and a prime integer 71.3-2 
      for a group, and a prime integer 71.3-2 
  [2XBrauerTableOp[102X 71.3-2 
  [2XBravaisGroup[102X 44.6-11 
  [2XBravaisSubgroups[102X 44.6-12 
  [2XBravaisSupergroups[102X 44.6-13 
  Break loop message 6.4-4 
  [9Xbreak[109X statement 4.21 
  browsing backwards 2.2 
  browsing backwards one chapter 2.2 
  browsing forward 2.2 
  browsing forward one chapter 2.2 
  browsing the next section browsed 2.2 
  browsing the previous section browsed 2.2 
  [2XBuildBitfields[102X 14.8-2 
  [22Xc_N[122X (irrational value) 18.4-1 
  [2XCallFuncList[102X 5.2-1 
  [2XCallFuncListWrap[102X 5.2-1 
  [2XCanComputeIndex[102X 39.25-5 
  [2XCanComputeIsSubset[102X 39.25-6 
  [2XCanComputeSize[102X 39.25-3 
  [2XCanComputeSizeAnySubgroup[102X 39.25-4 
  candidates, for permutation characters 72.13 
  [2XCanEasilyCompareElements[102X 31.11-2 
  [2XCanEasilyCompareElementsFamily[102X 31.11-2 
  [2XCanEasilyComputePcgs[102X 45.2-3 
  [2XCanEasilyComputeWithIndependentGensAbelianGroup[102X 39.25-2 
  [2XCanEasilySortElements[102X 31.11-2 
  [2XCanEasilySortElementsFamily[102X 31.11-2 
  [2XCanEasilyTestMembership[102X 39.25-1 
  canonical basis, for matrix spaces 61.9-10 
      for row spaces 61.9-9 
  [2XCanonicalBasis[102X 61.5-3 
  [2XCanonicalGenerators[102X 64.6-14 
  [2XCanonicalPcElement[102X 45.5-9 
  [2XCanonicalPcgs[102X 45.8-2 
  [2XCanonicalPcgsByGeneratorsWithImages[102X 45.9-7 
  [2XCanonicalRepresentativeDeterminatorOfExternalSet[102X 41.12-14 
  [2XCanonicalRepresentativeOfExternalSet[102X 41.12-13 
  [2XCanonicalRightCosetElement[102X 39.7-3 
  Carmichael's lambda function 15.2-3 
  carriage return character 27.2 
  [2XCartanMatrix[102X 64.6-12 
  [2XCartanSubalgebra[102X 64.3-7 
  [2XCartesian[102X, for a list 21.20-16 
      for various objects 21.20-16 
  [2XCategoriesOfObject[102X 13.3-1 
  [2XCategoryByName[102X 79.18-7 
  [2XCategoryCollections[102X 30.2-4 
  [2XCategoryFamily[102X 79.1-2 
  [2XCeil[102X 19.2-10 
  center 35.4-4 
  [2XCenter[102X 35.4-5 
  central character 72.8-17 
  [2XCentralCharacter[102X 72.8-17 
  [2XCentralIdempotentsOfAlgebra[102X 62.9-17 
  centraliser 35.4-4 
  [2XCentralizer[102X, for a class of objects in a magma 35.4-4 
      for a magma and a submagma 35.4-4 
      for a magma and an element 35.4-4 
  [10XCentralizer[110X, for groups with pcgs 45.16 
  [2XCentralizerInGLnZ[102X 44.6-8 
  [2XCentralizerModulo[102X 39.18-7 
  [2XCentralizerSizeLimitConsiderFunction[102X 45.17-2 
  [2XCentralNormalSeriesByPcgs[102X 45.11-8 
  [2XCentre[102X 35.4-5 
  [10XCentre[110X, for groups with pcgs 45.16 
  centre, of a character 72.8-11 
  [2XCentreOfCharacter[102X 72.8-11 
  [2XCF[102X, for (subfield and) conductor 60.1-1 
      for (subfield and) generators 60.1-1 
  [2XChangeStabChain[102X 43.11-3 
  [2XCharacter[102X, for a character table and a list 72.6-3 
      for a group and a list 72.6-3 
  character tables 71.3 
      access to 71.3 
      calculate 71.3 
      infix operators 71.7 
      of groups 71.3 
  character value, of group element using powering operator 72.4 
  [2XCharacterDegrees[102X, for a character table 71.8-1 
      for a group 71.8-1 
  [2XCharacteristic[102X 31.10-1 
      for a class function 72.4-1 
  characteristic polynomial, for field elements 58.3-3 
  [2XCharacteristicPolynomial[102X 24.13-1 
  [2XCharacterNames[102X 71.9-6 
  [2XCharacterParameters[102X 71.9-7 
  characters 72. 
      permutation 72.13 
      symmetrizations of 72.11-1 
  [2XCharacterTable[102X, for a group 71.3-1 
      for a string 71.3-1 
      for an ordinary character table 71.3-1 
  [2XCharacterTableDirectProduct[102X 71.20-1 
  [2XCharacterTableFactorGroup[102X 71.20-3 
  [2XCharacterTableIsoclinic[102X 71.20-4 
  [2XCharacterTableRegular[102X 71.3-3 
  [2XCharacterTableWithSortedCharacters[102X 71.21-1 
  [2XCharacterTableWithSortedClasses[102X 71.21-3 
  [2XCharacterTableWithStoredGroup[102X 71.6-4 
  [2XCharacterTableWreathSymmetric[102X 71.20-5 
  [2XCharInt[102X 27.8-2 
  [2XCharsFamily[102X 27.4-6 
  [2XCharSInt[102X 27.8-4 
  [2XCheckDigitISBN[102X 14.6-1 
  [2XCheckDigitISBN13[102X 14.6-1 
  [2XCheckDigitPostalMoneyOrder[102X 14.6-1 
  [2XCheckDigitTestFunction[102X 14.6-2 
  [2XCheckDigitUPC[102X 14.6-1 
  [2XCheckFixedPoints[102X 73.5-10 
  [2XCheckForHandlingByNiceBasis[102X 61.12-3 
  [2XCheckPermChar[102X 73.7-2 
  [2XChevalleyBasis[102X 64.6-2 
  [2XChiefNormalSeriesByPcgs[102X 45.11-16 
  [2XChiefSeries[102X 39.17-1 
  [2XChiefSeriesThrough[102X 39.17-2 
  [2XChiefSeriesUnderAction[102X 39.17-3 
  Chinese remainder 14.3-9 
  [2XChineseRem[102X 14.3-9 
  [2XChomp[102X 27.7-21 
  [2XCite[102X 76.3-16 
  [2XCIUnivPols[102X 66.1-5 
  class function 72.1-1 
  class function objects 72.1-1 
  class functions 73.5 
      as ring elements 72.4 
  class multiplication coefficient 71.12-7  71.12-8  71.12-9 
  [2XClassElementLattice[102X 39.20-2 
  classes, real 71.9-11 
  [2XClassesSolvableGroup[102X 45.17-1 
  [2XClassFunction[102X, for a character table and a list 72.6-1 
      for a group and a list 72.6-1 
  [2XClassFunctionSameType[102X 72.6-4 
  [2XClassMultiplicationCoefficient[102X, for character tables 71.12-7 
  [10XClassMultiplicationCoefficient[110X, for character tables 71.12-7 
  [2XClassNames[102X 71.9-6 
  [2XClassNamesTom[102X 70.7-5 
  [2XClassOrbit[102X 71.9-12 
  [2XClassParameters[102X 71.9-7 
  [2XClassPermutation[102X 71.21-5 
  [2XClassPositionsOfAgemo[102X 71.10-2 
  [2XClassPositionsOfCenter[102X, for a character table 71.10-3 
  [2XClassPositionsOfCentre[102X, for a character 72.8-12 
      for a character table 71.10-3 
  [2XClassPositionsOfDerivedSubgroup[102X 71.10-5 
  [2XClassPositionsOfDirectProductDecompositions[102X 71.10-4 
  [2XClassPositionsOfElementaryAbelianSeries[102X 71.10-6 
  [2XClassPositionsOfFittingSubgroup[102X 71.10-7 
  [2XClassPositionsOfKernel[102X 72.8-10 
  [2XClassPositionsOfLowerCentralSeries[102X 71.10-8 
  [2XClassPositionsOfMaximalNormalSubgroups[102X 71.10-1 
  [2XClassPositionsOfMinimalNormalSubgroups[102X 71.10-1 
  [2XClassPositionsOfNormalClosure[102X 71.10-12 
  [2XClassPositionsOfNormalSubgroup[102X 71.23-2 
  [2XClassPositionsOfNormalSubgroups[102X 71.10-1 
  [2XClassPositionsOfPCore[102X 71.10-11 
  [2XClassPositionsOfSupersolvableResiduum[102X 71.10-10 
  [2XClassPositionsOfUpperCentralSeries[102X 71.10-9 
  [2XClassRoots[102X 71.9-13 
  [2XClassStructureCharTable[102X 71.12-8 
  [2XClassTypesTom[102X 70.7-4 
  [2XCleanedTailPcElement[102X 45.5-11 
  [2XClearCacheStats[102X 7.8-21 
  [2XClearProfile[102X 7.8-10 
  clone, an object 12.7 
  [2XCloseMutableBasis[102X 61.8-6 
  [2XCloseStream[102X 10.2-1 
  [2XClosureGroup[102X 39.4-1 
  [2XClosureGroupAddElm[102X 39.4-2 
  [2XClosureGroupCompare[102X 39.4-2 
  [2XClosureGroupDefault[102X 39.4-3 
  [2XClosureGroupIntest[102X 39.4-2 
  [2XClosureLeftModule[102X 57.2-3 
  [2XClosureNearAdditiveGroup[102X, for a near-additive group and an element 55.4-1 
      for two near-additive groups 55.4-1 
  [2XClosureRing[102X, for a ring and a ring element 56.1-8 
      for two rings 56.1-8 
  [10XClosure[3XStruct[103X[10X[110X 31.3 
  [2XClosureSubgroup[102X 39.4-4 
  [2XClosureSubgroupNC[102X 39.4-4 
  [2XCoboundaries[102X 64.12-7 
  [2XCochain[102X 64.12-2 
  [2XCochainSpace[102X 64.12-3 
  cocycles 39.23 
  [2XCocycles[102X, for Lie algebra module 64.12-6 
  [2XCodegreeOfPartialPerm[102X 54.3-2 
  [2XCodegreeOfPartialPermCollection[102X 54.3-2 
  [2XCodegreeOfPartialPermSemigroup[102X 54.7-2 
  [2XCodePcGroup[102X 46.9-2 
  [2XCodePcgs[102X 46.9-1 
  coefficient, binomial 16.1-2 
  [2XCoefficients[102X 61.6-3 
  coefficients, for cyclotomics 18.1-10 
  [2XCoefficientsAndMagmaElements[102X 65.2-4 
  [2XCoefficientsFamily[102X 66.19-3 
  [2XCoefficientsMultiadic[102X 14.3-8 
  [2XCoefficientsOfLaurentPolynomial[102X 66.13-2 
  [2XCoefficientsOfUnivariatePolynomial[102X 66.4-9 
  [2XCoefficientsOfUnivariateRationalFunction[102X 66.4-7 
  [2XCoefficientsQadic[102X 14.3-7 
  [2XCoefficientsRing[102X 66.15-3 
  [2XCoeffsCyc[102X 18.1-10 
  [2XCoeffsMod[102X 23.4-4 
  cohomology 39.23 
  [2XCoKernelOfAdditiveGeneralMapping[102X 32.10-6 
  [2XCoKernelOfMultiplicativeGeneralMapping[102X 32.9-6 
  [2XCollapsedMat[102X 73.5-16 
  [2XCollected[102X 21.20-3 
  [2XCollectionsFamily[102X 30.2-1 
  [2XColorPrompt[102X 3.6-1 
  [2XColumns[102X 51.9-9 
  [2XCombinations[102X 16.2-1 
  [2XCombinatorialCollector[102X 46.4-2 
  [2XComm[102X 31.12-3 
  [10XComm[110X, for words 37.4 
  comments 4.4 
  [2XCommutativeDiagram[102X 73.5-9 
  [2XCommutatorFactorGroup[102X 39.18-3 
  [2XCommutatorLength[102X 39.12-4 
      for a character table 71.8-5 
  [2XCommutatorSubgroup[102X 39.12-2 
  [2XCompacted[102X 21.20-2 
  [2XCompanionMat[102X 24.13-5 
  [2XCompareVersionNumbers[102X 76.3-7 
  comparison, fp semigroup elements 52.3-1 
      operation 31.11-1 
      rational functions 66.3 
  comparisons, of booleans 20.3 
      of lists 21.10 
  [2XCompatibleConjugacyClasses[102X 71.6-5 
  [2XCompatiblePairs[102X 46.8-8 
  [2XComplementClassesRepresentatives[102X 39.11-6 
  [2XComplementClassesRepresentativesEA[102X 39.23-4 
  [2XComplementIntMat[102X 25.1-6 
  [2XComplementSystem[102X 39.13-5 
  [2XComplexConjugate[102X 18.5-2 
      for a class function 72.4-2 
  [2XComplexificationQuat[102X, for a matrix 62.5-2 
      for a vector 62.5-2 
  [2XComponentPartialPermInt[102X 54.5-3 
  [2XComponentRepsOfPartialPerm[102X 54.3-20 
  [2XComponentRepsOfTransformation[102X 53.5-19 
  [2XComponentsOfPartialPerm[102X 54.3-18 
  [2XComponentsOfTransformation[102X 53.5-17 
  [2XComponentTransformationInt[102X 53.4-3 
  [2XCompositionMapping[102X 32.2-5 
  [10XCompositionMapping[110X, for Frobenius automorphisms 59.4-1 
  [2XCompositionMapping2[102X 32.2-6 
  [2XCompositionMapping2General[102X 32.2-6 
  [2XCompositionMaps[102X 73.5-1 
  [2XCompositionOfStraightLinePrograms[102X 37.8-7 
  [2XCompositionSeries[102X 39.17-5 
  [10XCompositionSeries[110X, for groups with pcgs 45.16 
  [2XComputedBrauerTables[102X 71.3-2 
  [2XComputedClassFusions[102X 73.3-2 
  [2XComputedIndicators[102X 71.12-5 
  [2XComputedIsPSolubleCharacterTables[102X 71.12-3 
  [2XComputedIsPSolvableCharacterTables[102X 71.12-3 
  [2XComputedPowerMaps[102X 73.1-1 
  [2XComputedPrimeBlockss[102X 71.11-1 
  [2XConcatenation[102X, for a list of lists 21.20-1 
      for several lists 21.20-1 
  concatenation, of lists 21.20 
  [2XConductor[102X, for a collection of cyclotomics 18.1-7 
      for a cyclotomic 18.1-7 
  [2XConfluentRws[102X 38.1-6 
  [2XCongruences[102X, for character tables 73.6-2 
  [2XConjugacyClass[102X 39.10-1 
  [2XConjugacyClasses[102X, attribute 39.10-2 
      for character tables 71.6-2 
  [10XConjugacyClasses[110X, for groups with pcgs 45.16 
      for linear groups 50.3 
  [2XConjugacyClassesByOrbits[102X 39.10-4 
  [2XConjugacyClassesByRandomSearch[102X 39.10-3 
  [2XConjugacyClassesMaximalSubgroups[102X 39.19-4 
  [2XConjugacyClassesPerfectSubgroups[102X 39.20-10 
  [2XConjugacyClassesSubgroups[102X 39.19-3 
  [2XConjugacyClassSubgroups[102X 39.19-1 
  conjugate, matrix 24.3 
      of a word 37.4 
  [2XConjugateDominantWeight[102X 64.7-6 
  [2XConjugateDominantWeightWithWord[102X 64.7-6 
  [2XConjugateGroup[102X 39.2-6 
  [2XConjugates[102X 58.3-6 
  [2XConjugateSubgroup[102X 39.3-8 
  [2XConjugateSubgroups[102X 39.3-9 
  conjugation 41.2-1 
  [2XConjugatorAutomorphism[102X 40.6-2 
  [2XConjugatorAutomorphismNC[102X 40.6-2 
  [2XConjugatorIsomorphism[102X 40.6-1 
  [2XConjugatorOfConjugatorIsomorphism[102X 40.6-5 
  [2XConsiderKernels[102X 73.6-3 
  [2XConsiderSmallerPowerMaps[102X 73.6-4 
  [2XConsiderStructureConstants[102X 73.3-7 
  [2XConsiderTableAutomorphisms[102X 73.7-3 
  [2XConstantTimeAccessList[102X 21.17-6 
  [2XConstantTransformation[102X 53.2-9 
  constituent, of a group character 72.8-5 
  [2XConstituentsCompositionMapping[102X 32.2-8 
  [2XConstituentsOfCharacter[102X 72.8-8 
  [2XContainedCharacters[102X 73.5-17 
  [2XContainedConjugates[102X 39.20-7 
  [2XContainedDecomposables[102X 73.5-17 
  [2XContainedMaps[102X 73.5-6 
  [2XContainedPossibleCharacters[102X 73.5-15 
  [2XContainedPossibleVirtualCharacters[102X 73.5-15 
  [2XContainedSpecialVectors[102X 73.5-15 
  [2XContainedTom[102X 70.9-5 
  [2XContainingConjugates[102X 39.20-8 
  [2XContainingTom[102X 70.9-6 
  [9Xcontinue[109X statement 4.22 
  [2XContinuedFractionApproximationOfRoot[102X 15.6-2 
  [2XContinuedFractionExpansionOfRoot[102X 15.6-1 
  convert, to a string 27.4 
  [2XConvertToBlistRep[102X 22.5-1 
  [2XConvertToCharacterTable[102X 71.3-5 
  [2XConvertToCharacterTableNC[102X 71.3-5 
  [2XConvertToMatrixRep[102X, for a list (and a field) 24.14-2 
      for a list (and a prime power) 24.14-2 
  [2XConvertToMatrixRepNC[102X, for a list (and a field) 24.14-2 
      for a list (and a prime power) 24.14-2 
  [2XConvertToRangeRep[102X 21.22-2 
  [2XConvertToStringRep[102X 27.4-2 
  [2XConvertToTableOfMarks[102X 70.6-5 
  [2XConvertToVectorRep[102X, for a list (and a field) 23.3-1 
      for a list (and a prime power) 23.3-1 
  [2XConvertToVectorRepNC[102X, for a list (and a field) 23.3-1 
      for a list (and a prime power) 23.3-1 
  [2XConwayPolynomial[102X 59.5-1 
  coprime 4.13 
  Copy 12.7 
  copy, an object 12.7 
  [2XCopyListEntries[102X 21.4-4 
  [2XCopyOptionsDefaults[102X 43.11-2 
  [2XCopyStabChain[102X 43.11-1 
  [2XCopyToStringRep[102X 27.4-3 
  [2XCore[102X 39.11-2 
  [2XCorrespondingGeneratorsByModuloPcgs[102X 45.9-6 
  [2XCos[102X 19.2-10 
  coset 39.7 
  [2XCosetDecomposition[102X 39.7-5 
  [2XCosetLeadersMatFFE[102X 23.6-6 
  [2XCosetTable[102X 47.6-1 
  [2XCosetTableBySubgroup[102X 47.6-4 
  [2XCosetTableDefaultLimit[102X 47.6-7 
  [2XCosetTableDefaultMaxLimit[102X 47.6-6 
  [2XCosetTableFromGensAndRels[102X 47.6-5 
  [2XCosetTableInWholeGroup[102X 47.8-1 
  [2XCosetTableOfFpSemigroup[102X 52.6-1 
  [2XCosetTableStandard[102X 47.7-1 
  [2XCosh[102X 19.2-10 
  [2XCot[102X 19.2-10 
  [2XCoth[102X 19.2-10 
  [2XCoverageLineByLine[102X 7.8-15 
  [2XCrcFile[102X 9.7-7 
  [2XCrcString[102X 27.9-6 
  [2XCrystGroupDefaultAction[102X 44.7-1 
  [2XCsc[102X 19.2-10 
  [2XCsch[102X 19.2-10 
  [2XCubeRoot[102X 19.2-10 
  [2XCyc[102X, for floats 19.2-3 
  [2XCycle[102X 41.9-3 
  [2XCycleIndex[102X, for a permutation and an action domain 41.9-7 
      for a permutation group and an action domain 41.9-7 
  [2XCycleLength[102X 41.9-4 
  [2XCycleLengths[102X 41.9-6 
  [2XCycles[102X 41.9-5 
  [2XCyclesOfTransformation[102X 53.5-20 
  [2XCycleStructureClass[102X 72.8-14 
  [2XCycleStructurePerm[102X 42.4-2 
  [2XCycleTransformationInt[102X 53.5-21 
  [2XCyclicExtensionsTom[102X, for a list of primes 70.9-7 
      for a prime 70.9-7 
  [2XCyclicGroup[102X 50.1-2 
  cyclotomic field elements 18. 
  cyclotomic fields, CanonicalBasis 60.3 
  [2XCyclotomicField[102X, for (subfield and) conductor 60.1-1 
      for (subfield and) generators 60.1-1 
  [2XCyclotomicPolynomial[102X 66.9-1 
  [2XCyclotomics[102X 18.1-2 
  [10XCyclotomicsFamily[110X 18.1-3 
  [22Xd_N[122X (irrational value) 18.4-1 
  Darstellungsgruppe, see EpimorphismSchurCover 39.24 
  data type, unknown 74. 
  [2XDataType[102X 13.9-2 
  [2XDayDMY[102X 27.10-4 
  [2XDaysInMonth[102X 27.10-2 
  [2XDaysInYear[102X 27.10-1 
  DEC 25.4 
  [2XDeclareAttribute[102X 79.18-9 
  [10XDeclareAttribute[110X, example 80.5 
  [10XDeclareAttribute!example[110X 80.8-3 
  [10XDeclareAutoPackage[110X 77.2 
  [2XDeclareAutoreadableVariables[102X 76.3-9 
  [2XDeclareCategory[102X 79.18-1 
  [2XDeclareConstructor[102X 79.18-13 
  [2XDeclareFilter[102X 79.18-11 
  [2XDeclareGlobalFunction[102X 79.18-14 
  [2XDeclareGlobalVariable[102X 79.18-15 
  [2XDeclareHandlingByNiceBasis[102X 61.12-1 
  [2XDeclareInfoClass[102X 7.4-2 
  [2XDeclareOperation[102X 79.18-12 
  [10XDeclarePackage[110X 77.2 
  [10XDeclarePackageAutoDocumentation[110X 77.2 
  [10XDeclarePackageDocumentation[110X 77.2 
  [2XDeclareProperty[102X 79.18-10 
  [2XDeclareRepresentation[102X 79.18-8 
  [10XDeclareRepresentation[110X, belongs to implementation part 79.19 
      example 80.6 
  [2XDeclareSynonym[102X 79.18-17 
  [2XDeclareSynonymAttr[102X 79.18-17 
  [2XDeclareUserPreference[102X 3.2-4 
  [2XDecodeTree[102X 48.10-1 
  decompose, a group character 72.8-5 
  [2XDecomposedFixedPointVector[102X 70.9-8 
  [2XDecomposeTensorProduct[102X 64.13-3 
  [2XDecomposition[102X 25.4-1 
  decomposition matrix 25.4 
  [2XDecompositionInt[102X 25.4-5 
  [2XDecompositionMatrix[102X 71.11-4 
  [2XDecreased[102X 72.10-7 
  [2XDEFAULTDISPLAYSTRING[102X 27.7-2 
  [2XDefaultField[102X, for a list of generators 58.1-4 
      for cyclotomics 18.1-16 
      for finite field elements 59.3-1 
      for several generators 58.1-4 
  [2XDefaultFieldByGenerators[102X 58.1-5 
  [2XDefaultFieldOfMatrix[102X 24.4-2 
  [2XDefaultFieldOfMatrixGroup[102X 44.2-2 
  [10XDefaultInfoHandler[110X 7.4-6 
  [2XDefaultRing[102X, for a collection 56.1-3 
      for finite field elements 59.3-1 
      for ring elements 56.1-3 
  [2XDefaultRingByGenerators[102X 56.1-5 
  [2XDefaultStabChainOptions[102X 43.8-3 
  [2XDEFAULTVIEWSTRING[102X 27.7-4 
  [2XDefiningPolynomial[102X 58.2-7 
  [2XDefiningQuotientHomomorphism[102X 47.13-4 
  [2XDegreeFFE[102X, for a FFE 59.2-1 
      for a matrix of FFEs 59.2-1 
      for a vector of FFEs 59.2-1 
  [2XDegreeIndeterminate[102X 66.6-1 
  [2XDegreeOfBinaryRelation[102X 33.2-10 
  [2XDegreeOfCharacter[102X 72.8-4 
  [2XDegreeOfLaurentPolynomial[102X 66.5-3 
  [2XDegreeOfPartialPerm[102X 54.3-1 
  [2XDegreeOfPartialPermCollection[102X 54.3-1 
  [2XDegreeOfPartialPermSemigroup[102X 54.7-2 
  [2XDegreeOfTransformation[102X 53.5-1 
  [2XDegreeOfTransformationCollection[102X 53.5-1 
  [2XDegreeOfTransformationSemigroup[102X 53.7-2 
  [2XDegreeOverPrimeField[102X 58.2-6 
  [2XDelta[102X 75.2-2 
  denominator, of a rational 17.2-5 
  [2XDenominatorCyc[102X 18.1-11 
  [2XDenominatorOfModuloPcgs[102X 45.9-4 
  [2XDenominatorOfRationalFunction[102X 66.4-3 
  [2XDenominatorRat[102X 17.2-5 
  [2XDenseHashTable[102X 28.6-1 
  [2XDenseIntKey[102X 28.5-1 
  dependencies, for a GAP package 76.11 
  deprecated 77. 
  [2XDepthOfPcElement[102X 45.5-4 
  [2XDepthOfUpperTriangularMatrix[102X 24.12-3 
  [2XDerangements[102X 16.2-14 
  [2XDerivations[102X 64.2-6 
  [2XDerivative[102X 66.6-5 
  [2XDerivedLength[102X 39.17-8 
  [2XDerivedSeriesOfGroup[102X 39.17-7 
  [2XDerivedSubgroup[102X 39.12-3 
  [2XDerivedSubgroupsTom[102X 70.9-2 
  [2XDerivedSubgroupsTomPossible[102X 70.9-3 
  [2XDerivedSubgroupsTomUnique[102X 70.9-3 
  [2XDerivedSubgroupTom[102X 70.9-2 
  [2XDescriptionOfRootOfUnity[102X 18.1-13 
  [2XDeterminant[102X 24.4-4 
  determinant, integer matrix 25.3-1 
  determinant character 72.8-18 
  [2XDeterminantIntMat[102X 25.3-1 
  [2XDeterminantMat[102X 24.4-4 
  [2XDeterminantMatDestructive[102X 24.4-5 
  [2XDeterminantMatDivFree[102X 24.4-6 
  [2XDeterminantOfCharacter[102X 72.8-18 
  [2XDiagonalizeIntMat[102X 25.2-8 
  [2XDiagonalizeMat[102X 24.9-3 
  [2XDiagonalMat[102X 24.5-4 
  [2XDiagonalOfMat[102X 24.12-1 
  [2XDiameter[102X 19.5-4 
  [2XDictionaryByPosition[102X 28.3-1 
  [2XDicyclicGroup[102X 50.1-7 
  [2XDifference[102X 30.5-4 
  [2XDifferenceBlist[102X 22.3-3 
  [2XDihedralGroup[102X 50.1-6 
  [2XDimension[102X 57.3-3 
  [2XDimensionOfHighestWeightModule[102X 64.13-4 
  [2XDimensionOfMatrixGroup[102X 44.2-1 
  [2XDimensionOfVectors[102X 61.9-6 
  [2XDimensionsLoewyFactors[102X 39.17-15 
  [2XDimensionsMat[102X 24.4-1 
  [2XDirectoriesLibrary[102X 9.3-5 
  [2XDirectoriesPackageLibrary[102X 76.3-5 
  [2XDirectoriesPackagePrograms[102X 76.3-6 
  [2XDirectoriesSystemPrograms[102X 9.3-6 
  [2XDirectory[102X 9.3-2 
  [2XDirectoryContents[102X 9.3-7 
  [2XDirectoryCurrent[102X 9.3-4 
  [2XDirectoryDesktop[102X 9.3-8 
  [2XDirectoryHome[102X 9.3-9 
  [2XDirectoryTemporary[102X 9.3-3 
  [2XDirectProduct[102X 49.1-1 
  [2XDirectProductOp[102X 49.1-1 
  [2XDirectSum[102X 56.9-5 
  [2XDirectSumDecomposition[102X, for Lie algebras 62.9-18 
  [2XDirectSumOfAlgebraModules[102X, for a list of Lie algebra modules 62.11-23 
      for two Lie algebra modules 62.11-23 
  [2XDirectSumOfAlgebras[102X, for a list of algebras 62.9-14 
      for two algebras 62.9-14 
  [2XDirectSumOp[102X 56.9-5 
  disable automatic loading 76.2-1 
  [2XDisableAttributeValueStoring[102X 13.6-5 
  [2XDiscriminant[102X 66.6-6 
  [2XDisplay[102X 6.3-6 
      for a character table 71.13-3 
      for a ffe 59.6-1 
      for a table of marks 70.4-3 
      for class functions 72.5-3 
  [2XDisplayCacheStats[102X 7.8-20 
  [2XDisplayCompositionSeries[102X 39.17-6 
  [2XDisplayEggBoxOfDClass[102X 51.8-7 
  [2XDisplayImfInvariants[102X 50.7-2 
  [2XDisplayInformationPerfectGroups[102X, for a pair [ order, index ] 50.6-7 
      for group order (and index) 50.6-7 
  [2XDisplayOptions[102X 71.13-4 
  [2XDisplayOptionsStack[102X 8.1-6 
  [2XDisplayPackageLoadingLog[102X 76.2-5 
  [2XDisplayProfile[102X 7.8-9 
  [2XDisplaySemigroup[102X 51.8-13 
  [2XDisplayString[102X 27.7-1 
  [2XDistancePerms[102X 42.2-2 
  [2XDistancesDistributionMatFFEVecFFE[102X 23.6-4 
  [2XDistancesDistributionVecFFEsVecFFE[102X 23.6-3 
  [2XDistanceVecFFE[102X 23.6-2 
  division 4.13 
      operation 31.12-1 
  division rings 58. 
  [2XDivisionRingByGenerators[102X 58.1-8 
  divisors, of an integer 14.4-12 
  [2XDivisorsInt[102X 14.4-12 
  Dixon-Schneider algorithm 71.16 
  [2XDixonInit[102X 71.17-2 
  [2XDixonRecord[102X 71.17-1 
  [2XDixonSplit[102X 71.17-4 
  [2XDixontinI[102X 71.17-3 
  [2XDMYDay[102X 27.10-3 
  [2XDMYhmsSeconds[102X 27.10-11 
  [2XDnLattice[102X 72.10-8 
  [2XDnLatticeIterative[102X 72.10-9 
  [9Xdo[109X 4.20 
  document formats (text, dvi, ps, pdf, HTML) 2.3 
  document formats!for help books 84.3 
  [2XDomain[102X 31.9-3 
  [2XDomainByGenerators[102X 31.9-3 
  [2XDomainOfPartialPerm[102X 54.3-4 
  [2XDomainOfPartialPermCollection[102X 54.3-4 
  [2XDominantCharacter[102X, for a root system and a highest weight 64.13-2 
      for a semisimple Lie algebra and a highest weight 64.13-2 
  [2XDominantWeights[102X 64.13-1 
  dot-file 39.20-3 
  [2XDotFileLatticeSubgroups[102X 39.20-3 
  [2XDoubleCoset[102X 39.9-1 
  [2XDoubleCosetRepsAndSizes[102X 39.9-5 
  [2XDoubleCosets[102X 39.9-3 
  [2XDoubleCosetsNC[102X 39.9-3 
  [2XDoubleCoverOfAlternatingGroup[102X 39.24-11 
  [2XDoubleHashArraySize[102X 28.7-2 
  doublequote character 27.2 
  doublequotes 27.1 
  [2XDownEnv[102X 6.5-1 
  duplicate free 21.17-2 
  [2XDuplicateFreeList[102X 21.20-4 
  [2XDxIncludeIrreducibles[102X 71.17-6 
  [2XE[102X 18.1-1 
  [22Xe_N[122X (irrational value) 18.4-1 
  [2XEANormalSeriesByPcgs[102X 45.11-4 
  [2XEarns[102X, for a group, an action domain, etc. 41.10-6 
      for an external set 41.10-6 
  [2XEB[102X 18.4-1 
  [2XEC[102X 18.4-1 
  [2XED[102X 18.4-1 
  [2XEdit[102X 6.10-1 
  [2XEE[102X 18.4-1 
  [2XEF[102X 18.4-1 
  [2XEG[102X 18.4-1 
  [2XEggBoxOfDClass[102X 51.8-6 
  [2XEH[102X 18.4-1 
  [2XEI[102X 18.4-2 
  [2XEigenspaces[102X 24.8-4 
  [2XEigenvalues[102X 24.8-3 
  [2XEigenvaluesChar[102X 72.8-19 
  [2XEigenvectors[102X 24.8-5 
  [2XEJ[102X 18.4-4 
  [2XEK[102X 18.4-4 
  [2XEL[102X 18.4-4 
  element test, for lists 21.8-1 
  [2XElementaryAbelianGroup[102X 50.1-4 
  [2XElementaryAbelianSeries[102X, for a group 39.17-9 
      for a list 39.17-9 
  [2XElementaryAbelianSeriesLargeSteps[102X 39.17-9 
  [2XElementaryDivisorsMat[102X 24.9-1 
  [2XElementaryDivisorsMatDestructive[102X 24.9-1 
  [2XElementaryDivisorsTransformationsMat[102X 24.9-2 
  [2XElementaryDivisorsTransformationsMatDestructive[102X 24.9-2 
  [2XElementOfFpGroup[102X 47.4-5 
  [2XElementOfFpMonoid[102X 52.4-2 
  [2XElementOfFpSemigroup[102X 52.4-2 
  [2XElementOfMagmaRing[102X 65.2-6 
  [2XElementOrdersPowerMap[102X 73.1-3 
  [2XElementProperty[102X 43.12-2 
  [2XElements[102X 30.3-11 
  elements, definition 12.2 
      of a list or collection 30.3-10 
  [2XElementsFamily[102X 30.2-3 
  [2XElementsStabChain[102X 43.10-9 
  [9Xelif[109X 4.17 
  [2XEliminatedWord[102X 37.4-6 
  [2XEliminationOrdering[102X 66.17-10 
  ElmWPObj 86.2 
  [2XElmWPObj[102X 86.2-1 
  [9Xelse[109X 4.17 
  [2XEM[102X 18.4-4 
  [10Xemacs[110X 6.11 
  email addresses 1.5 
  [10XEmbedding[110X, example for direct products 49.1-1 
      example for semidirect products 49.2-1 
      example for wreath products 49.4-1 
  [2XEmbedding[102X, for a domain and a positive integer 32.2-11 
      for group products 49.6-1 
  [10XEmbedding[110X, for Lie algebras 64.1-3 
      for magma rings 65.3 
  [2XEmbedding[102X, for two domains 32.2-11 
  embeddings, find all 40.9-5 
  [2XEmptyBinaryRelation[102X, for a degree 33.1-4 
      for a domain 33.1-4 
  [2XEmptyMatrix[102X 24.5-3 
  [2XEmptyPartialPerm[102X 54.2-6 
  [2XEmptyPlist[102X 21.9-1 
  [2XEmptySCTable[102X 62.4-3 
  [2XEmptyStabChain[102X 43.11-7 
  [2XEmptyString[102X 27.4-5 
  [2XEnableAttributeValueStoring[102X 13.6-6 
  [9Xend[109X 4.23 
  [2XEnd[102X 61.10-6 
  [2XEndlineFunc[102X 5.1-5 
  [2XEndsWith[102X 27.7-22 
  [2XEnumerator[102X 30.3-2 
  [2XEnumeratorByBasis[102X 61.6-5 
  [2XEnumeratorByFunctions[102X, for a domain and a record 30.3-4 
      for a family and a record 30.3-4 
  [2XEnumeratorOfCombinations[102X 16.2-2 
  [2XEnumeratorOfTuples[102X 16.2-9 
  [2XEnumeratorSorted[102X 30.3-3 
  environment 4.23 
  [2XEpicentre[102X 39.24-4 
  [2XEpimorphismFromFreeGroup[102X 39.5-1 
  [2XEpimorphismNilpotentQuotient[102X 47.14-4 
  [2XEpimorphismNonabelianExteriorSquare[102X 39.24-6 
  [2XEpimorphismPGroup[102X 47.14-3 
  [2XEpimorphismQuotientSystem[102X 47.14-2 
  epimorphisms, find all 40.9-4 
  [2XEpimorphismSchurCover[102X 39.24-1 
  [2XEpimorphismSolvableQuotient[102X 47.14-6 
  [2XEqFloat[102X 19.2-6 
  equality, associative words 37.3-1 
      elements of finitely presented groups 47.3-1 
      for pcwords 46.2-1 
      for transformations 53.4 
      nonassociative words 36.2-1 
      of booleans 20.3-1 
      of records 29.5 
      operation 31.11-1 
  equality test 4.12 
      for permutations 42.2-1 
  equivalence class 33.7-1 
  equivalence relation 33.2-8  33.5 
  [2XEquivalenceClasses[102X, attribute 33.7-3 
  [2XEquivalenceClassOfElement[102X 33.7-4 
  [2XEquivalenceClassOfElementNC[102X 33.7-4 
  [2XEquivalenceClassRelation[102X 33.7-2 
  [2XEquivalenceRelationByPairs[102X 33.5-3 
  [2XEquivalenceRelationByPairsNC[102X 33.5-3 
  [2XEquivalenceRelationByPartition[102X 33.5-1 
  [2XEquivalenceRelationByPartitionNC[102X 33.5-1 
  [2XEquivalenceRelationByProperty[102X 33.5-4 
  [2XEquivalenceRelationByRelation[102X 33.5-2 
  [2XEquivalenceRelationPartition[102X 33.6-1 
  [2XER[102X 18.4-2 
  [2XErf[102X 19.2-10 
  [2XError[102X 6.6-1 
  [2XErrorCount[102X 6.6-3 
  [2XErrorNoReturn[102X 6.6-2 
  [10XErrorNoTraceBack[110X 6.4-3 
  errors, syntax 6.1 
  [2XES[102X 18.4-3 
  escaped characters 27.2 
  escaping non-special characters 27.2 
  [2XET[102X 18.4-3 
  [2XEU[102X 18.4-3 
  [2XEuclideanDegree[102X 56.6-2 
  [2XEuclideanQuotient[102X 56.6-3 
  [2XEuclideanRemainder[102X 56.6-4 
  Euler's totient function 15.2-2 
  [2XEulerianFunction[102X 39.16-3 
  [2XEulerianFunctionByTom[102X 70.9-9 
  [2XEV[102X 18.4-3 
  [2XEvalStraightLineProgElm[102X 37.9-4 
  [2XEvalString[102X 27.9-5 
  evaluation 4.7 
      strings 27.9-1  27.9-2  27.9-3 
  [2XEW[102X 18.4-3 
  [2XEX[102X 18.4-3 
  [2XExactSizeConsiderFunction[102X 39.21-5 
  Excel 10.11 
  [2XExec[102X 11.1-2 
  execution 4.14 
  exit 6.7 
  [2XExp[102X 19.2-10 
  [2XExp10[102X 19.2-10 
  [2XExp2[102X 19.2-10 
  Expanded form of monomials 66.21 
  [2XExpm1[102X 19.2-10 
  [2XExponent[102X 39.16-2 
      for a character table 71.8-5 
  exponent, of the prime residue group 15.2-3 
  exponentiation, operation 31.12-1 
  [2XExponentOfPcElement[102X 45.5-2 
  [2XExponentsConjugateLayer[102X 45.6-1 
  [2XExponentsOfCommutator[102X 45.6-4 
  [2XExponentsOfConjugate[102X 45.6-3 
  [2XExponentsOfPcElement[102X 45.5-3 
  [2XExponentsOfRelativePower[102X 45.6-2 
  [2XExponentSumWord[102X 37.4-2 
  [2XExponentSyllable[102X 37.5-2 
  [2XExtendedPcgs[102X 45.7-8 
  [2XExtendRootDirectories[102X 76.2-4 
  [2XExtendStabChain[102X 43.11-4 
  [2XExtension[102X 46.8-5 
  [2XExtensionNC[102X 46.8-5 
  [2XExtensionRepresentatives[102X 46.8-9 
  [2XExtensions[102X 46.8-4 
  exterior power 72.11-3 
  [2XExteriorCentre[102X 39.24-4 
  [2XExteriorPowerOfAlgebraModule[102X 64.15-2 
  external binaries, for a GAP package 76.14-1 
  External representation of polynomials 66.21 
  [2XExternalOrbit[102X 41.12-9 
  [2XExternalOrbits[102X, for a group, an action domain, etc. 41.12-11 
      for an external set 41.12-11 
  [2XExternalOrbitsStabilizers[102X, for a group, an action domain, etc. 41.12-12 
      for an external set 41.12-12 
  [2XExternalSet[102X 41.12-2 
  [10XExternalSet[110X, computing orbits 85.3 
  [2XExternalSubset[102X 41.12-7 
  [2XExtract[102X 72.10-5 
  [2XExtraspecialGroup[102X 50.1-8 
  [2XExtRepDenominatorRatFun[102X 66.21-3 
  [2XExtRepNumeratorRatFun[102X 66.21-2 
  [2XExtRepOfObj[102X 79.16-1 
      for a cyclotomic 18.1-12 
  [2XExtRepPolynomialRatFun[102X 66.21-6 
  [2XEY[102X 18.4-3 
  [22Xf_N[122X (irrational value) 18.4-1 
  [2XFactorCosetAction[102X 41.8-1 
      for fp groups 47.6-3 
  [2XFactorFreeMonoidByRelations[102X 52.2-2 
  [2XFactorFreeSemigroupByRelations[102X 52.2-2 
  [2XFactorGroup[102X 39.18-2 
  [2XFactorGroupFpGroupByRels[102X 47.2-2 
  [2XFactorGroupNC[102X 39.18-2 
  [2XFactorGroupNormalSubgroupClasses[102X 71.23-4 
  [2XFactorGroupTom[102X 70.9-11 
  [2XFactorial[102X 16.1-1 
  factorization 39.5 
  [2XFactorization[102X 39.5-2 
  [2XFactors[102X 56.5-9 
      for polynomials over abelian number fields 60.2-1 
      of polynomial 66.10-1 
  [2XFactorsInt[102X 14.4-7 
      using Pollard's Rho 14.4-7 
  [2XFactorsOfDirectProduct[102X 71.20-2 
  [2XFactorsSquarefree[102X 66.10-2 
  [2Xfail[102X 20.2-1 
  [2XFaithfulModule[102X, for Lie algebras 62.11-20 
  [2XFamiliesOfGeneralMappingsAndRanges[102X 32.14-5 
  [2XFamiliesOfRows[102X 71.22-5 
  [2XFamilyForOrdering[102X 34.3-4 
  [2XFamilyObj[102X 13.1-1 
  [2XFamilyPcgs[102X 46.1-1 
  [2XFamilyRange[102X 32.14-3 
  [2XFamilySource[102X 32.14-4 
  features, under UNIX 3.1 
  [9Xfi[109X 4.17 
  [2XFibonacci[102X 16.3-1 
  [2XField[102X, for (a field and) a list of generators 58.1-3 
      for several generators 58.1-3 
  field homomorphisms, Frobenius 59.4-1 
  [2XFieldByGenerators[102X 58.1-8 
  [2XFieldExtension[102X 58.2-9 
  [2XFieldOfMatrixGroup[102X 44.2-3 
  [2XFieldOverItselfByGenerators[102X 58.2-2 
  fields 58. 
  [2XFileDescriptorOfStream[102X 10.2-2 
  [2XFilename[102X, for a directory and a string 9.4-1 
      for a list of directories and a string 9.4-1 
  [2XFilenameFunc[102X 5.1-4 
  [2XFilterByName[102X 79.18-19 
  [2XFiltered[102X 21.20-20 
  [2XFiltersObj[102X 13.2-4 
  [2XFiltersType[102X 13.2-4 
  [2XFindSl2[102X 64.9-7 
  finiteness test, for a list or collection 30.4-2 
  [2XFirst[102X 21.20-22 
  [2XFittingSubgroup[102X 39.12-5 
  [2XFixedPointsOfPartialPerm[102X, for a partial perm 54.3-8 
      for a partial perm coll 54.3-8 
  [2XFlat[102X 21.20-6 
  [2XFlatKernelOfTransformation[102X 53.5-11 
  [2XFloat[102X 19.2-1 
  [2XFLOAT[102X, constants 19.2-5 
  [2XFloor[102X 19.2-10 
  flush character 27.2 
  [2XFlushCaches[102X 79.18-18 
  FOA triples 85. 
  [9Xfor[109X loop 4.20 
  [2XForAll[102X 21.20-23 
  [2XForAny[102X 21.20-24 
  [2XFORCE_QUIT_GAP[102X 6.7-4 
  [2XFpElmComparisonMethod[102X 47.3-3 
  [2XFpGroupPresentation[102X 48.1-4 
  [2XFpGrpMonSmgOfFpGrpMonSmgElement[102X 52.1-4 
  [2XFpLieAlgebraByCartanMatrix[102X 64.11-1 
  [2XFrac[102X 19.2-10 
  Frame 72.11-4 
  [2XFrattiniSubgroup[102X 39.12-6 
  [10XFrattiniSubgroup[110X, for groups with pcgs 45.16 
  [2XFreeAbelianGroup[102X 50.1-5 
  [2XFreeAlgebra[102X, for ring and several names 62.3-1 
      for ring, rank (and name) 62.3-1 
  [2XFreeAlgebraWithOne[102X, for ring and several names 62.3-2 
      for ring, rank (and name) 62.3-2 
  [2XFreeAssociativeAlgebra[102X, for ring and several names 62.3-3 
      for ring, rank (and name) 62.3-3 
  [2XFreeAssociativeAlgebraWithOne[102X, for ring and several names 62.3-4 
      for ring, rank (and name) 62.3-4 
  [2XFreeGeneratorsOfFpGroup[102X 47.4-2 
  [2XFreeGeneratorsOfFpMonoid[102X 52.4-4 
  [2XFreeGeneratorsOfFpSemigroup[102X 52.4-4 
  [2XFreeGeneratorsOfWholeGroup[102X 47.4-2 
  [2XFreeGroup[102X, for a list of names 37.2-1 
      for given rank 37.2-1 
      for infinitely many generators 37.2-1 
      for various names 37.2-1 
  [2XFreeGroupOfFpGroup[102X 47.4-1 
  [2XFreeLeftModule[102X 57.3-2 
  [2XFreeLieAlgebra[102X, for ring and several names 64.2-4 
      for ring, rank (and name) 64.2-4 
  [2XFreeMagma[102X, for a list of names 36.4-1 
      for given rank 36.4-1 
      for infinitely many generators 36.4-1 
      for various names 36.4-1 
  [2XFreeMagmaRing[102X 65.1-1 
  [2XFreeMagmaWithOne[102X, for a list of names 36.4-2 
      for given rank 36.4-2 
      for infinitely many generators 36.4-2 
      for various names 36.4-2 
  [2XFreeMonoid[102X, for a list of names 51.2-9 
      for given rank 51.2-9 
      for infinitely many generators 51.2-9 
      for various names 51.2-9 
  [2XFreeMonoidOfFpMonoid[102X 52.4-3 
  [2XFreeMonoidOfRewritingSystem[102X 52.5-5 
  [2XFreeProduct[102X, for a list 49.5-1 
      for several groups 49.5-1 
  [2XFreeSemigroup[102X, for a list of names 51.1-10 
      for given rank 51.1-10 
      for infinitely many generators 51.1-10 
      for various names 51.1-10 
  [2XFreeSemigroupOfFpSemigroup[102X 52.4-3 
  [2XFreeSemigroupOfRewritingSystem[102X 52.5-5 
  [2XFrExp[102X 19.2-10 
  Frobenius automorphism 59.4-1 
  [2XFrobeniusAutomorphism[102X 59.4-1 
  [2XFrobeniusCharacterValue[102X 72.15-1 
  [2XFullMatrixAlgebra[102X 62.5-4 
  [2XFullMatrixAlgebraCentralizer[102X 62.9-15 
  [2XFullMatrixLieAlgebra[102X 64.2-5 
  [2XFullMatrixModule[102X 57.3-11 
  [2XFullMatrixSpace[102X 61.9-5 
  [2XFullRowModule[102X 57.3-9 
  [2XFullRowSpace[102X 61.9-4 
  [2XFullTransformationMonoid[102X 53.7-3 
  [2XFullTransformationSemigroup[102X 53.7-3 
  [2XFunctionAction[102X 41.12-4 
  [2XFunctionField[102X, for an integral ring and a list of indeterminate numbers 66.15-8 
      for an integral ring and a list of indeterminates 66.15-8 
      for an integral ring and a list of names (and an exclusion list) 66.15-8 
      for an integral ring and a rank (and an exclusion list) 66.15-8 
  [10XFunctionOperation[110X 77.1 
  functions, as in mathematics 32. 
      as in programming language 5. 
      definition by arrow notation 4.23 
      definition of 4.23 
      recursive 4.23 
      with a variable number of arguments 4.23 
      with a variable number of arguments, calling 4.11-1 
  [2XFunctionsFamily[102X 5.5-3 
  [2XFusionCharTableTom[102X 70.11-1 
  [2XFusionConjugacyClasses[102X, for a homomorphism 73.3-1 
      for two character tables 73.3-1 
      for two groups 73.3-1 
  [2XFusionConjugacyClassesOp[102X, for a homomorphism 73.3-1 
      for two character tables 73.3-1 
  fusions 73.3 
  [2XFusionsAllowedByRestrictions[102X 73.7-4 
  [2XFusionsTom[102X 70.7-6 
  [22XG[122X-sets 41.12 
      computing orbits 85.3 
  [22Xg_N[122X (irrational value) 18.4-1 
  [10Xgac[110X 76.3-10 
  [2XGaloisCyc[102X, for a class function 72.4-2 
      for a cyclotomic 18.5-1 
      for a list of cyclotomics 18.5-1 
  [2XGaloisField[102X, for characteristic and degree 59.3-2 
      for characteristic and polynomial 59.3-2 
      for field size 59.3-2 
      for subfield and degree 59.3-2 
      for subfield and polynomial 59.3-2 
  [2XGaloisGroup[102X, for abelian number fields 60.4-1 
      of field 58.3-1 
      of rational class of a group 39.10-8 
  [2XGaloisMat[102X 18.5-5 
  [2XGaloisStabilizer[102X 60.2-5 
  [2XGaloisType[102X 66.11-3 
  [2XGamma[102X 19.2-10 
  [2XGammaL[102X 50.2-9 
  [11Xgap.ini[111X 3.2-1 
  [2XGAP_EXIT_CODE[102X 6.7-2 
  GAPDoc format, for writing package documentation 76.5 
  [10XGAPDocManualLab[110X 76.22 
  [2XGAPInfo[102X 3.5-1 
  [10XGAPInfo.Architecture[110X 76.3-6 
  [10XGAPInfo.CommandLineOptions[110X 3.1 
  [10XGAPInfo.Keywords[110X 4.5 
  [2XGAPInfo.ProfileThreshold[102X 7.8-9 
  [10XGAPInfo.RootPaths[110X 9.2 
  [10XGAPInfo.UserGapRoot[110X 9.2 
  [10XGAPInfo.Version[110X 7.9 
  [2XGapInputPcGroup[102X 46.6-1 
  [2XGapInputSCTable[102X 62.4-5 
  [2XGAPKB_REW[102X 52.5-2 
  [10XGAPTCENUM[110X 47.6-5 
  [10XGASMAN[110X 7.12 
  [2XGasmanLimits[102X 7.12-3 
  [2XGasmanMessageStatus[102X 7.12-2 
  [2XGasmanStatistics[102X 7.12-1 
  Gaussian algorithm 24.7 
  [2XGaussianIntegers[102X 60.5-1 
  [2XGaussianRationals[102X 60.1-3 
  [2XGcd[102X, for (a ring and) a list of elements 56.7-1 
      for (a ring and) several elements 56.7-1 
  [2XGcdex[102X 14.3-5 
  [2XGcdInt[102X 14.3-4 
  [2XGcdOp[102X 56.7-2 
  [2XGcdRepresentation[102X, for (a ring and) a list of elements 56.7-3 
      for (a ring and) several elements 56.7-3 
  [2XGcdRepresentationOp[102X 56.7-4 
  [2XGeneralisedEigenspaces[102X 24.8-2 
  [2XGeneralisedEigenvalues[102X 24.8-1 
  generalized characters 72. 
  generalized conjugation technique 87.1 
  [2XGeneralizedEigenspaces[102X 24.8-2 
  [2XGeneralizedEigenvalues[102X 24.8-1 
  [2XGeneralLinearGroup[102X, for dimension and a ring 50.2-1 
      for dimension and field size 50.2-1 
  [2XGeneralMappingByElements[102X 32.2-1 
  [2XGeneralMappingsFamily[102X 32.14-6 
  [2XGeneralOrthogonalGroup[102X 50.2-6 
  [2XGeneralSemilinearGroup[102X 50.2-9 
  [2XGeneralUnitaryGroup[102X 50.2-3 
  generator, of the prime residue group 15.3-3  15.3-4 
  [2XGeneratorsOfAdditiveGroup[102X 55.3-4 
  [2XGeneratorsOfAdditiveMagma[102X 55.3-2 
  [2XGeneratorsOfAdditiveMagmaWithZero[102X 55.3-3 
  [2XGeneratorsOfAlgebra[102X 62.9-1 
  [2XGeneratorsOfAlgebraModule[102X 62.11-7 
  [2XGeneratorsOfAlgebraWithOne[102X 62.9-2 
  [2XGeneratorsOfDivisionRing[102X 58.1-6 
  [2XGeneratorsOfDomain[102X 31.9-2 
  [2XGeneratorsOfEquivalenceRelationPartition[102X 33.6-2 
  [2XGeneratorsOfField[102X 58.1-7 
  [2XGeneratorsOfGroup[102X 39.2-4 
  [2XGeneratorsOfIdeal[102X 56.2-7 
  [2XGeneratorsOfInverseMonoid[102X 51.3-4 
  [2XGeneratorsOfInverseSemigroup[102X 51.3-3 
  [2XGeneratorsOfLeftIdeal[102X 56.2-8 
  [2XGeneratorsOfLeftModule[102X 57.1-4 
  [2XGeneratorsOfLeftOperatorAdditiveGroup[102X 57.1-3 
  [2XGeneratorsOfLeftVectorSpace[102X 61.3-1 
  [2XGeneratorsOfMagma[102X 35.4-1 
  [2XGeneratorsOfMagmaWithInverses[102X 35.4-3 
  [2XGeneratorsOfMagmaWithOne[102X 35.4-2 
  [2XGeneratorsOfMonoid[102X 51.2-7 
  [2XGeneratorsOfNearAdditiveGroup[102X 55.3-4 
  [2XGeneratorsOfNearAdditiveMagma[102X 55.3-2 
  [2XGeneratorsOfNearAdditiveMagmaWithZero[102X 55.3-3 
  [2XGeneratorsOfPresentation[102X 48.1-3 
  [2XGeneratorsOfRightIdeal[102X 56.2-9 
  [2XGeneratorsOfRightModule[102X 57.1-9 
  [2XGeneratorsOfRightOperatorAdditiveGroup[102X 57.1-8 
  [2XGeneratorsOfRing[102X 56.1-6 
  [2XGeneratorsOfRingWithOne[102X 56.3-4 
  [2XGeneratorsOfRws[102X 38.1-12 
  [2XGeneratorsOfSemigroup[102X 51.1-8 
  [10XGeneratorsOf[3XStruct[103X[10X[110X 31.3 
  [2XGeneratorsOfTwoSidedIdeal[102X 56.2-7 
  [2XGeneratorsOfVectorSpace[102X 61.3-1 
  [2XGeneratorsPrimeResidues[102X 15.2-4 
  [2XGeneratorsSmallest[102X 39.22-1 
  [2XGeneratorsSubgroupsTom[102X 70.10-1 
  [2XGeneratorSyllable[102X 37.5-3 
  [2XGetCyclotomicsLimit[102X 18.6-1 
  [2XGetFusionMap[102X 73.3-3 
  [2XGetRecursionDepth[102X 7.11-1 
  getting help 2.1 
  [2XGetWithDefault[102X 21.5-2 
  [2XGF[102X, for characteristic and degree 59.3-2 
      for characteristic and polynomial 59.3-2 
      for field size 59.3-2 
      for subfield and degree 59.3-2 
      for subfield and polynomial 59.3-2 
  [2XGL[102X, for dimension and a ring 50.2-1 
      for dimension and field size 50.2-1 
  [2XGlobalMersenneTwister[102X 14.7-4 
  [2XGlobalRandomSource[102X 14.7-4 
  [2XGModuleByMats[102X, for empty list, the dimension, and a field 69.1-1 
      for generators and a field 69.1-1 
  [2XGO[102X 50.2-6 
  [2XGQuotients[102X 40.9-4 
  [2XGrading[102X 62.9-20 
  graphviz 39.20-3 
  [2XGreensDClasses[102X 51.8-9 
  [2XGreensDClassOfElement[102X 51.8-8 
  [2XGreensDRelation[102X 51.8-1 
  [2XGreensHClasses[102X 51.8-9 
  [2XGreensHClassOfElement[102X 51.8-8 
  [2XGreensHRelation[102X 51.8-1 
  [2XGreensJClasses[102X 51.8-9 
  [2XGreensJClassOfElement[102X 51.8-8 
  [2XGreensJRelation[102X 51.8-1 
  [2XGreensLClasses[102X 51.8-9 
  [2XGreensLClassOfElement[102X 51.8-8 
  [2XGreensLRelation[102X 51.8-1 
  [2XGreensRClasses[102X 51.8-9 
  [2XGreensRClassOfElement[102X 51.8-8 
  [2XGreensRRelation[102X 51.8-1 
  [2XGroebnerBasis[102X, for a list and a monomial ordering 66.18-1 
      for an ideal and a monomial ordering 66.18-1 
  [2XGroebnerBasisNC[102X 66.18-1 
  [2XGroup[102X, for a list of generators (and an identity element) 39.2-1 
      for several generators 39.2-1 
  group actions 41.  41.2 
      operations syntax 41.1 
  group algebra 65. 
  group characters 72. 
  group operations 41.2  77.1 
  group ring 65. 
  [2XGroupByGenerators[102X 39.2-2 
      with explicitly specified identity element 39.2-2 
  [2XGroupByRws[102X 46.4-6 
  [2XGroupByRwsNC[102X 46.4-6 
  [2XGroupGeneralMappingByImages[102X 40.1-3 
      from group to itself 40.1-3 
  [2XGroupGeneralMappingByImagesNC[102X 40.1-3 
      from group to itself 40.1-3 
  [2XGroupHClassOfGreensDClass[102X 51.8-10 
  [2XGroupHomomorphismByFunction[102X, by function (and inverse function) between two domains 40.1-4 
      by function and function that computes one preimage 40.1-4 
  [2XGroupHomomorphismByImages[102X 40.1-1 
  [2XGroupHomomorphismByImagesNC[102X 40.1-2 
  [2XGroupOfPcgs[102X 45.4-5 
  [2XGroupRing[102X 65.1-2 
  [2XGroupStabChain[102X 43.10-5 
  [2XGroupWithGenerators[102X 39.2-3 
  [2XGrowthFunctionOfGroup[102X 39.5-3 
      with word length limit 39.5-3 
  [2XGU[102X 50.2-3 
  [22Xh_N[122X (irrational value) 18.4-1 
  [2XHallSubgroup[102X 39.13-3 
  [2XHallSystem[102X 39.13-6 
  [10XHallSystem[110X, for groups with pcgs 45.16 
  [2XHasAbelianFactorGroup[102X 39.18-5 
  [2XHasElementaryAbelianFactorGroup[102X 39.18-6 
  [2XHasIndeterminateName[102X 66.1-4 
  [2XHasParent[102X 31.7-1 
  [2XHasseDiagramBinaryRelation[102X 33.4-4 
  [2XHeadPcElementByNumber[102X 45.5-12 
  [2XHELP_ADD_BOOK[102X 84.1-1 
  [2XHELP_REMOVE_BOOK[102X 84.1-2 
  [2XHELP_VIEWER_INFO[102X 84.4-1 
  [2XHenselBound[102X 66.12-3 
  Hermite normal form 77.3 
  [2XHermiteNormalFormIntegerMat[102X 25.2-4 
  [2XHermiteNormalFormIntegerMatTransform[102X 25.2-5 
  [2XHeuristicCancelPolynomialsExtRep[102X 66.24-3 
  hexadecimal character codes 27.2 
  [2XHexStringInt[102X 27.7-8 
  [2XHighestWeightModule[102X 64.14-5 
  [2XHMSMSec[102X 27.10-7 
  [2XHom[102X 61.10-5 
  home directory, for a GAP package 76.5 
  [2XHomeEnumerator[102X 41.12-5 
  [2XHomomorphismQuotientSemigroup[102X 51.7-2 
  homomorphisms, find all 40.9 
      Frobenius, field 59.4-1 
  [2XHypothenuse[102X 19.2-10 
  [22Xi_N[122X (irrational value) 18.4-2 
  [2XIdeal[102X 56.2-1 
  [2XIdealByGenerators[102X 56.2-4 
  [2XIdealNC[102X 56.2-2 
  [2XIdeals[102X 56.9-4 
  [2XIdempotent[102X 53.2-4 
  [2XIdempotents[102X 35.4-6 
  [2XIdempotentsTom[102X 70.7-8 
  [2XIdempotentsTomInfo[102X 70.7-8 
  [2XIdentificationOfConjugacyClasses[102X 71.6-3 
  [2XIdentifier[102X, for character tables 71.9-8 
      for tables of marks 70.7-9 
  [2XIdentity[102X 31.10-2 
  [2XIdentityBinaryRelation[102X, for a degree 33.1-3 
      for a domain 33.1-3 
  [2XIdentityFromSCTable[102X 62.4-7 
  [2XIdentityMapping[102X 32.2-10 
  [2XIdentityMat[102X 24.5-1 
  [2XIdentityTransformation[102X 53.2-8 
  [2XIdFunc[102X 5.4-6 
  [9Xif[109X statement 4.17 
  [10XImage[110X, for Frobenius automorphisms 59.4-1 
  [2XImage[102X, set of images of a collection under a mapping 32.4-6 
      set of images of the source of a general mapping 32.4-6 
      unique image of an element under a mapping 32.4-6 
  image, vector under matrix 24.3 
  [2XImageElm[102X 32.4-5 
  [2XImageListOfPartialPerm[102X 54.3-6 
  [2XImageListOfTransformation[102X 53.5-2 
  [2XImageOfPartialPermCollection[102X 54.3-5 
  [2XImages[102X, set of images of a collection under a mapping 32.4-7 
      set of images of an element under a mapping 32.4-7 
      set of images of the source of a general mapping 32.4-7 
  [2XImagesElm[102X 32.4-3 
  [2XImageSetOfPartialPerm[102X 54.3-7 
  [2XImageSetOfTransformation[102X 53.5-3 
  [2XImagesRepresentative[102X 32.4-2 
  [2XImagesSet[102X 32.4-4 
  [2XImagesSmallestGenerators[102X 40.3-5 
  [2XImagesSource[102X 32.4-1 
  [2XImaginaryPart[102X 18.5-2 
  [2XImfInvariants[102X 50.7-3 
  [2XImfMatrixGroup[102X 50.7-4 
  [2XImfNumberQClasses[102X 50.7-1 
  [2XImfNumberQQClasses[102X 50.7-1 
  [2XImfNumberZClasses[102X 50.7-1 
  [2XImmutable[102X 12.6-3 
  [2XImmutableBasis[102X 61.8-4 
  [2XImmutableMatrix[102X 24.14-1 
  [2XImmutableVector[102X 23.3-2 
  [9Xin[109X, for lists 21.8-1 
      operation for 30.6 
  [10X\in[110X, operation for testing membership 30.6 
  [2XIncreaseInterval[102X 19.5-8 
  [2XIndependentGeneratorExponents[102X 39.22-6 
  [2XIndependentGeneratorsOfAbelianGroup[102X 39.22-5 
  [2XIndeterminate[102X, for a family and a number 66.1-1 
      for a ring (and a name, and an exclusion list) 66.1-1 
      for a ring (and a number) 66.1-1 
  [2XIndeterminateName[102X 66.1-4 
  [2XIndeterminateness[102X 73.5-13 
  [2XIndeterminateNumberOfLaurentPolynomial[102X 66.13-3 
  [2XIndeterminateNumberOfUnivariateRationalFunction[102X 66.1-2 
  [2XIndeterminateOfUnivariateRationalFunction[102X 66.1-3 
  [2XIndeterminatesOfFunctionField[102X 66.15-2 
  [2XIndeterminatesOfPolynomialRing[102X 66.15-2 
  [2XIndex[102X, for a group and its subgroup 39.3-2 
      for two character tables 71.12-1 
  [2XIndexInWholeGroup[102X 39.3-3 
  [2XIndexNC[102X, for a group and its subgroup 39.3-2 
  [2XIndexPeriodOfPartialPerm[102X 54.3-16 
  [2XIndexPeriodOfTransformation[102X 53.5-15 
  [2XIndicator[102X 71.12-5 
  [2XIndicatorOp[102X 71.12-5 
  [2XIndicesCentralNormalSteps[102X 45.11-7 
  [2XIndicesChiefNormalSteps[102X 45.11-15 
  [2XIndicesEANormalSteps[102X 45.11-3 
  [2XIndicesInvolutaryGenerators[102X 47.6-9 
  [2XIndicesNormalSteps[102X 45.11-17 
  [2XIndicesOfAdjointBasis[102X 62.9-6 
  [2XIndicesPCentralNormalStepsPGroup[102X 45.11-11 
  [2XIndicesStabChain[102X 43.10-7 
  [2XIndirected[102X 73.5-4 
  [2XInducedAutomorphism[102X 40.7-6 
  [2XInducedClassFunction[102X, for a given monomorphism 72.9-3 
      for a supergroup 72.9-3 
      for the character table of a supergroup 72.9-3 
  [2XInducedClassFunctions[102X 72.9-4 
  [2XInducedClassFunctionsByFusionMap[102X 72.9-5 
  [2XInducedCyclic[102X 72.9-6 
  [2XInducedPcgs[102X 45.7-4 
  [2XInducedPcgsByGenerators[102X 45.7-5 
  [2XInducedPcgsByGeneratorsNC[102X 45.7-5 
  [2XInducedPcgsByPcSequence[102X 45.7-2 
  [2XInducedPcgsByPcSequenceAndGenerators[102X 45.7-6 
  [2XInducedPcgsByPcSequenceNC[102X 45.7-2 
  [2XInducedPcgsWrtFamilyPcgs[102X 46.1-3 
  [2XInducedPcgsWrtSpecialPcgs[102X 45.13-8 
  [2XInequalities[102X 72.14-5 
  inequality, of booleans 20.3-1 
      of records 29.5 
  inequality test 4.12 
  [2XInertiaSubgroup[102X 72.8-13 
  [2XInf[102X 19.5-2 
  [2Xinfinity[102X 18.2-1 
  inflated class functions 72.9 
  [2XInfo[102X 7.4-5 
  [2XInfoAlgebra[102X 62.1-1 
  [2XInfoAttributes[102X 13.6-4 
  [2XInfoBckt[102X 43.12-4 
  [2XInfoCharacterTable[102X 71.4-2 
  [10XInfoClass[110X, for a GAP package 76.15 
  [2XInfoCoh[102X 39.23-5 
  [2XInfoComplement[102X 39.11-7 
  [2XInfoCoset[102X 39.9-6 
  [2XInfoFpGroup[102X 47.1-3 
  [2XInfoGroebner[102X 66.18-4 
  [2XInfoGroup[102X 39.2-8 
  [2XInfoLattice[102X 39.20-12 
  [2XInfoLevel[102X 7.4-4 
  [2XInfoMatrix[102X 24.1-1 
  [2XInfoMonomial[102X 75.1-1 
  [2XInfoNumtheor[102X 15.1-1 
  [2XInfoObsolete[102X 77.4-1 
  [2XInfoOptions[102X 8.1-7 
  [2XInfoOutput[102X 7.4-6 
  [2XInfoPackageLoading[102X 76.2-5 
  [2XInfoPcSubgroup[102X 39.21-6 
  [2XInfoPoly[102X 66.5-8 
  [2XInfoText[102X 12.8-3 
  [10XInfoText[110X, (for Conway polynomials) 59.5-1 
  [2XInfoText[102X, for character tables 71.9-9 
  [2XInfoTom[102X 70.6-1 
  [2XInfoWarning[102X 7.4-7 
  [2XInit[102X 14.7-3 
  [10Xinit.g[110X, for a GAP package 76.5 
  [2XInitFusion[102X 73.7-1 
  [2XInitPowerMap[102X 73.6-1 
  [2XInjectionZeroMagma[102X 35.2-13 
  inner product, of group characters 72.8-5 
  [2XInnerAutomorphism[102X 40.6-3 
  [2XInnerAutomorphismNC[102X 40.6-3 
  [2XInnerAutomorphismsAutomorphismGroup[102X 40.7-5 
  [2XInParentFOA[102X 85.2-1 
  [2XInputFromUser[102X 10.6-3 
  [2XInputLogTo[102X, for a filename 9.7-5 
      for streams 10.4-6 
      stop logging input 9.7-5 
  [2XInputOutputLocalProcess[102X 10.8-2 
  [2XInputTextFile[102X 10.5-1 
  [2XInputTextNone[102X 10.9-1 
  [2XInputTextString[102X 10.7-1 
  [2XInputTextUser[102X 10.6-1 
  [2XInsertTrivialStabilizer[102X 43.11-8 
  [2XInstallAtExit[102X 6.7-5 
  [2XInstallCharReadHookFunc[102X 10.10-1 
  [2XInstalledPackageVersion[102X 76.3-4 
  [2XInstallFactorMaintenance[102X 31.13-5 
  [2XInstallFlushableValue[102X 79.18-16 
  [2XInstallFlushableValueFromFunction[102X 79.18-16 
  [2XInstallGlobalFunction[102X 79.18-14 
  [2XInstallHandlingByNiceBasis[102X 61.12-1 
  [2XInstallImmediateMethod[102X 78.6-1 
  [2XInstallIsomorphismMaintenance[102X 31.13-6 
  [2XInstallMethod[102X 78.2-1 
  [2XInstallMethodWithRandomSource[102X 78.2-3 
  [2XInstallOtherMethod[102X 78.2-2 
  [2XInstallOtherMethodWithRandomSource[102X 78.2-3 
  [10XInstallReadlineMacro[110X 6.9-4 
  [2XInstallSubsetMaintenance[102X 31.13-4 
  [2XInstallTrueMethod[102X 78.7-1 
  [2XInstallValue[102X 79.18-16 
  [2XInt[102X 14.2-3 
      for a cyclotomic 18.1-5 
      for a FFE 59.2-3 
      for strings 27.9-1 
  [2XIntChar[102X 27.8-1 
  integer part of a quotient 14.3-1 
  [2XIntegers[102X, global variable 14.1-1 
  [2XIntegralizedMat[102X 25.4-4 
  [2XIntegratedStraightLineProgram[102X 37.8-8 
  [2XIntermediateGroup[102X 39.17-17 
  [2XIntermediateResultOfSLP[102X 37.8-10 
  [2XIntermediateResultOfSLPWithoutOverwrite[102X 37.8-11 
  [2XIntermediateResultsOfSLPWithoutOverwrite[102X 37.8-12 
  [2XIntermediateSubgroups[102X 39.17-18 
  [2XInterpolatedPolynomial[102X 56.7-10 
  [2XIntersectBlist[102X 22.4-3 
  [2XIntersection[102X, for a list 30.5-2 
  [10XIntersection[110X, for groups with pcgs 45.16 
  [2XIntersection[102X, for various collections 30.5-2 
  intersection, of collections 30.5-2 
      of sets 21.19-7 
  [2XIntersection2[102X 30.5-2 
  [2XIntersectionBlist[102X, for a list 22.3-2 
      for various boolean lists 22.3-2 
  [2XIntersectionsTom[102X 70.9-10 
  [2XIntersectSet[102X 21.19-7 
  [2XIntFFE[102X 59.2-3 
  [2XIntFFESymm[102X, for a FFE 59.2-4 
      for a vector of FFEs 59.2-4 
  [2XIntHexString[102X 27.9-3 
  [2XIntScalarProducts[102X 73.5-15 
  [2XIntVecFFE[102X 59.2-5 
  [2XInvariantBilinearForm[102X 44.5-1 
  [2XInvariantElementaryAbelianSeries[102X 39.17-10 
  [2XInvariantLattice[102X 44.6-6 
  [2XInvariantQuadraticForm[102X 44.5-5 
  [2XInvariantSesquilinearForm[102X 44.5-3 
  [2XInvariantSubgroupsElementaryAbelianGroup[102X 39.21-2 
  [2XInverse[102X 31.10-8 
      for a pcword 46.2-2 
      for a transformation 53.5-14 
  Inverse, group homomorphism 40.2 
  inverse, matrix 24.3 
      of class function 72.4 
  [2XInverseAttr[102X 31.10-8 
  [2XInverseClasses[102X 71.9-10 
  [2XInverseGeneralMapping[102X 32.2-3 
  [2XInverseImmutable[102X 31.10-8 
  [2XInverseMap[102X 73.5-2 
  [2XInverseMatMod[102X 24.15-1 
  [2XInverseMonoid[102X 51.3-2 
  [2XInverseMutable[102X 31.10-8 
  [2XInverseOfTransformation[102X 53.5-13 
  [2XInverseOp[102X 31.10-8 
  [2XInverseRepresentative[102X 43.10-11 
  [2XInverseSameMutability[102X 31.10-8 
  [2XInverseSemigroup[102X 51.3-1 
  [2XInverseSM[102X 31.10-8 
  [2XInversesOfSemigroupElement[102X 51.4-3 
  [10XInvocationReadlineMacro[110X 6.9-4 
  [2XIrr[102X, for a character table 71.8-2 
      for a group 71.8-2 
  irrationalities 18. 
  [2XIrrBaumClausen[102X 71.14-3 
  [2XIrrConlon[102X 71.14-2 
  [2XIrrDixonSchneider[102X 71.14-1 
  irreducible character 72.8-3 
  irreducible characters, computation 71.17 
  [2XIrreducibleDifferences[102X 72.10-3 
  [2XIrreducibleModules[102X 71.15-1 
  [10XIrreducibleModules[110X, for groups with pcgs 45.16 
  [2XIrreducibleRepresentations[102X 71.14-4 
  [2XIrreducibleRepresentationsDixon[102X 71.14-5 
  [2XIs16BitsFamily[102X 37.6-7 
  [2XIs32BitsFamily[102X 37.6-7 
  [2XIsAbelian[102X 35.4-9 
      for a character table 71.8-5 
  [2XIsAbelianNumberField[102X 60.2-3 
  [2XIsAbelianNumberFieldPolynomialRing[102X 66.15-6 
  [2XIsAbelianTom[102X 70.8-1 
  [2XIsAdditiveElement[102X 31.14-3 
  [2XIsAdditiveElementWithInverse[102X 31.14-7 
  [2XIsAdditiveElementWithZero[102X 31.14-5 
  [2XIsAdditiveGroup[102X 55.1-6 
  [2XIsAdditiveGroupGeneralMapping[102X 32.10-4 
  [2XIsAdditiveGroupHomomorphism[102X 32.10-4 
  [2XIsAdditivelyCommutative[102X 55.3-1 
  [2XIsAdditivelyCommutativeElement[102X 31.15-2 
  [2XIsAdditivelyCommutativeElementCollColl[102X 31.15-2 
  [2XIsAdditivelyCommutativeElementCollection[102X 31.15-2 
  [2XIsAdditivelyCommutativeElementFamily[102X 31.15-2 
  [2XIsAdditiveMagma[102X 55.1-4 
  [2XIsAdditiveMagmaWithInverses[102X 55.1-6 
  [2XIsAdditiveMagmaWithZero[102X 55.1-5 
  [2XIsAlgebra[102X 62.8-3 
  [2XIsAlgebraGeneralMapping[102X 32.12-3 
  [2XIsAlgebraHomomorphism[102X 32.12-3 
  [2XIsAlgebraicElement[102X 67.2-1 
  [2XIsAlgebraicExtension[102X 67.1-2 
  [2XIsAlgebraModuleElement[102X 62.11-8 
  [2XIsAlgebraModuleElementCollection[102X 62.11-8 
  [2XIsAlgebraModuleElementFamily[102X 62.11-8 
  [2XIsAlgebraWithOne[102X 62.8-4 
  [2XIsAlgebraWithOneGeneralMapping[102X 32.12-4 
  [2XIsAlgebraWithOneHomomorphism[102X 32.12-4 
  [2XIsAlmostSimple[102X, for a character table 71.8-5 
  [2XIsAlmostSimpleGroup[102X 39.15-11 
  [2XIsAlphaChar[102X 27.5-4 
  [2XIsAlternatingGroup[102X 43.4-3 
  [2XIsAnticommutative[102X 56.4-6 
  [2XIsAntisymmetricBinaryRelation[102X 33.2-4 
  [2XIsAssociated[102X 56.5-3 
  [2XIsAssociative[102X 35.4-7 
  [2XIsAssociativeElement[102X 31.15-1 
  [2XIsAssociativeElementCollColl[102X 31.15-1 
  [2XIsAssociativeElementCollection[102X 31.15-1 
  [2XIsAssocWord[102X 37.1-1 
  [2XIsAssocWordWithInverse[102X 37.1-1 
  [2XIsAssocWordWithOne[102X 37.1-1 
  [2XIsAttribute[102X 79.18-6 
  [10XIsAttributeStoringRep[110X 80.5  80.6 
  [2XIsAutomorphismGroup[102X 40.7-4 
  [2XIsBasicWreathLessThanOrEqual[102X 37.3-4 
  [2XIsBasicWreathProductOrdering[102X 34.4-12 
  [2XIsBasis[102X 61.5-1 
  [2XIsBasisByNiceBasis[102X 61.11-5 
  [2XIsBasisOfAlgebraModuleElementSpace[102X 62.11-14 
  [2XIsBergerCondition[102X, for a character 75.2-3 
      for a group 75.2-3 
  [2XIsBijective[102X 32.3-6 
  [2XIsBinaryRelation[102X 33.1-1 
  [10XIsBinaryRelation[110X, same as IsEndoGeneralMapping 33. 
  [2XIsBLetterAssocWordRep[102X 37.6-3 
  [2XIsBLetterWordsFamily[102X 37.6-4 
  [2XIsBlist[102X 22.1-1 
  [2XIsBlistRep[102X 22.5-1 
  IsBlockMatrixRep 24.17 
  [2XIsBool[102X 20.1-1 
  [2XIsBound[102X, for a global variable 4.8-1 
      for a list index 21.5-1 
      for a record component 29.6-1 
  [2XIsBound\.[102X 29.7-3 
  [2XIsBound\[\][102X 21.2-1 
  [2XIsBoundElmWPObj[102X 86.2-1 
  [2XIsBoundGlobal[102X 4.9-6 
  [2XIsBrauerTable[102X 71.4-1 
  [2XIsBravaisGroup[102X 44.6-10 
  [2XIsBuiltFromAdditiveMagmaWithInverses[102X 38.3-1 
  [2XIsBuiltFromGroup[102X 38.3-1 
  [2XIsBuiltFromMagma[102X 38.3-1 
  [2XIsBuiltFromMagmaWithInverses[102X 38.3-1 
  [2XIsBuiltFromMagmaWithOne[102X 38.3-1 
  [2XIsBuiltFromSemigroup[102X 38.3-1 
  [2XIsCanonicalBasis[102X 61.7-1 
  [2XIsCanonicalBasisFullMatrixModule[102X 61.9-10 
  [2XIsCanonicalBasisFullRowModule[102X 61.9-9 
  [2XIsCanonicalNiceMonomorphism[102X 40.5-4 
  [2XIsCanonicalPcgs[102X 45.8-1 
  [2XIsCategory[102X 79.18-3 
  [2XIsCentral[102X 35.4-8 
  [2XIsCentralFactor[102X 39.24-7 
  [2XIsChar[102X 27.1-1 
  [2XIsCharacter[102X 72.8-1 
  [2XIsCharacteristicSubgroup[102X 39.3-7 
  [2XIsCharacterTable[102X 71.4-1 
  [2XIsCharacterTableInProgress[102X 71.4-1 
  [2XIsCharCollection[102X 27.1-1 
  [2XIsCheapConwayPolynomial[102X 59.5-2 
  [2XIsClassFunction[102X 72.1-1 
  [2XIsClassFusionOfNormalSubgroup[102X 71.12-4 
  [2XIsClosedStream[102X 10.1-2 
  [2XIsCochain[102X 64.12-1 
  [2XIsCochainCollection[102X 64.12-1 
  [2XIsCollection[102X 30.1-1 
  [2XIsCollectionFamily[102X 30.2-2 
  [2XIsCommutative[102X 35.4-9 
  [2XIsCommutativeElement[102X 31.15-3 
  [2XIsCommutativeElementCollColl[102X 31.15-3 
  [2XIsCommutativeElementCollection[102X 31.15-3 
  [10XIsComponentObjectRep[110X 80.6 
  [2XIsCompositionMappingRep[102X 32.2-7 
  [2XIsConfluent[102X, for a rewriting system 38.1-5 
      for an algebra with canonical rewriting system 38.1-5 
      for pc groups 46.4-7 
  [2XIsConjugacyClassSubgroupsByStabilizerRep[102X 39.19-2 
  [2XIsConjugacyClassSubgroupsRep[102X 39.19-2 
  [2XIsConjugate[102X, for a group and two elements 39.10-9 
      for a group and two groups 39.10-9 
  [2XIsConjugatorAutomorphism[102X 40.6-4 
  [2XIsConjugatorIsomorphism[102X 40.6-4 
  [2XIsConstantRationalFunction[102X 66.4-11 
  [2XIsConstantTimeAccessGeneralMapping[102X 32.13-2 
  [2XIsConstantTimeAccessList[102X 21.1-6 
  [2XIsContainedInSpan[102X 61.8-5 
  [2XIsCopyable[102X 12.6-1 
  [2XIsCyc[102X 18.1-3 
  [2XIsCyclic[102X 39.15-1 
      for a character table 71.8-5 
  [2XIsCyclicTom[102X 70.8-1 
  [2XIsCyclotomic[102X 18.1-3 
  [2XIsCyclotomicField[102X 60.2-4 
  [2XIsCyclotomicMatrixGroup[102X 44.6-1 
  [2XIsDenseList[102X 21.1-2 
  [2XIsDiagonalMat[102X 24.4-8 
  [2XIsDictionary[102X 28.3-2 
  [2XIsDigitChar[102X 27.5-1 
  [2XIsDirectory[102X 9.3-1 
  [2XIsDirectoryPath[102X 9.6-5 
  [2XIsDirectProductElement[102X 32.1-1 
  [2XIsDisjoint[102X 19.5-6 
  [2XIsDistributive[102X 56.4-5 
  [2XIsDivisionRing[102X 58.1-1 
  [2XIsDomain[102X 31.9-1 
  [2XIsDoneIterator[102X 30.8-4 
  [2XIsDoubleCoset[102X, operation 39.9-4 
  [2XIsDuplicateFree[102X 21.17-2 
  [2XIsDuplicateFreeList[102X 21.17-2 
  [2XIsDxLargeGroup[102X 71.17-8 
  [2XIsElementaryAbelian[102X 39.15-2 
      for a character table 71.8-5 
  [2XIsElementOfFpMonoid[102X 52.1-3 
  [2XIsElementOfFpSemigroup[102X 52.1-3 
  [2XIsElementOfFreeMagmaRing[102X 65.2-2 
  [2XIsElementOfFreeMagmaRingCollection[102X 65.2-2 
  [2XIsElementOfFreeMagmaRingFamily[102X 65.2-3 
  [2XIsElementOfMagmaRingModuloRelations[102X 65.4-1 
  [2XIsElementOfMagmaRingModuloRelationsCollection[102X 65.4-1 
  [2XIsElementOfMagmaRingModuloRelationsFamily[102X 65.4-2 
  [2XIsElementOfMagmaRingModuloSpanOfZeroFamily[102X 65.5-1 
  [2XIsEmpty[102X 30.4-1 
  [2XIsEmptyString[102X 27.4-4 
  [2XIsEndOfStream[102X 10.3-6 
  [2XIsEndoGeneralMapping[102X 32.13-3 
  [10XIsEndoGeneralMapping[110X, same as IsBinaryRelation 33. 
  [2XIsEqualSet[102X 21.19-2 
  [2XIsEquivalenceClass[102X 33.7-1 
  [2XIsEquivalenceRelation[102X 33.2-8 
  [2XIsEuclideanRing[102X 56.6-1 
  [2XIsEvenInt[102X 14.2-4 
  [2XIsExecutableFile[102X 9.6-4 
  [2XIsExistingFile[102X 9.6-1 
  [2XIsExtAElement[102X 31.14-1 
  [2XIsExternalOrbit[102X 41.12-8 
  [2XIsExternalSet[102X 41.12-1 
  [2XIsExternalSubset[102X 41.12-6 
  [2XIsExtLElement[102X 31.14-8 
  [2XIsExtRElement[102X 31.14-9 
  [2XIsFamilyPcgs[102X 46.1-2 
  [2XIsFFE[102X 59.1-1 
  [2XIsFFECollColl[102X 59.1-1 
  [2XIsFFECollCollColl[102X 59.1-1 
  [2XIsFFECollection[102X 59.1-1 
  [2XIsFFEMatrixGroup[102X 44.2-5 
  [2XIsField[102X 58.1-2 
  [10XIsFieldControlledByGaloisGroup[110X 58.3 
  [2XIsFieldHomomorphism[102X 32.12-5 
  [2XIsFinite[102X 30.4-2 
      for a character table 71.8-5 
      for floats 19.2-9 
  [2XIsFiniteDimensional[102X 57.3-4 
      for matrix algebras 62.8-7 
  [2XIsFiniteFieldPolynomialRing[102X 66.15-5 
  [2XIsFinitelyGeneratedGroup[102X 39.15-17 
  [2XIsFiniteOrderElement[102X 31.15-4 
  [2XIsFiniteOrderElementCollColl[102X 31.15-4 
  [2XIsFiniteOrderElementCollection[102X 31.15-4 
  [2XIsFiniteOrdersPcgs[102X 45.4-2 
  [2XIsFixedStabilizer[102X 43.11-9 
  [2XIsFLMLOR[102X 62.8-1 
  [2XIsFLMLORWithOne[102X 62.8-2 
  [2XIsFpGroup[102X 47.1-2 
  [2XIsFpMonoid[102X 52.1-2 
  [2XIsFpSemigroup[102X 52.1-2 
  [2XIsFreeGroup[102X 37.2-2 
  [2XIsFreeLeftModule[102X 57.3-1 
  [2XIsFreeMagmaRing[102X 65.1-3 
  [2XIsFreeMagmaRingWithOne[102X 65.1-4 
  [2XIsFromFpGroupGeneralMappingByImages[102X 40.10-10 
  [2XIsFromFpGroupHomomorphismByImages[102X 40.10-10 
  [2XIsFromFpGroupStdGensGeneralMappingByImages[102X 40.10-11 
  [2XIsFromFpGroupStdGensHomomorphismByImages[102X 40.10-11 
  [2XIsFullHomModule[102X 61.10-7 
  [2XIsFullMatrixModule[102X 57.3-10 
  [2XIsFullRowModule[102X 57.3-8 
  [2XIsFullSubgroupGLorSLRespectingBilinearForm[102X 44.5-2 
  [2XIsFullSubgroupGLorSLRespectingQuadraticForm[102X 44.5-6 
  [2XIsFullSubgroupGLorSLRespectingSesquilinearForm[102X 44.5-4 
  [2XIsFullTransformationMonoid[102X 53.7-4 
  [2XIsFullTransformationSemigroup[102X 53.7-4 
  [2XIsFunction[102X 5.5-1 
  [2XIsFunctionField[102X 66.15-9 
  [2XIsGAPRandomSource[102X 14.7-4 
  [2XIsGaussianIntegers[102X 60.5-2 
  [2XIsGaussianRationals[102X 60.1-3 
  [2XIsGaussianSpace[102X 61.9-3 
  [2XIsGaussInt[102X 18.1-14 
  [2XIsGaussRat[102X 18.1-15 
  [2XIsGeneralizedDomain[102X 31.9-1 
  [2XIsGeneralizedRowVector[102X 21.12-1 
  [2XIsGeneralLinearGroup[102X 44.4-1 
  [2XIsGeneralMapping[102X 32.13-1 
  [2XIsGeneralMappingFamily[102X 32.14-2 
  [2XIsGeneratorsOfSemigroup[102X 51.1-9 
  [10XIsGeneratorsOf[3XStruct[103X[10X[110X 31.3 
  [2XIsGL[102X 44.4-1 
  [2XIsGlobalRandomSource[102X 14.7-4 
  [2XIsGreensClass[102X 51.8-3 
  [2XIsGreensDClass[102X 51.8-3 
  [2XIsGreensDRelation[102X 51.8-2 
  [2XIsGreensHClass[102X 51.8-3 
  [2XIsGreensHRelation[102X 51.8-2 
  [2XIsGreensJClass[102X 51.8-3 
  [2XIsGreensJRelation[102X 51.8-2 
  [2XIsGreensLClass[102X 51.8-3 
  [2XIsGreensLessThanOrEqual[102X 51.8-4 
  [2XIsGreensLRelation[102X 51.8-2 
  [2XIsGreensRClass[102X 51.8-3 
  [2XIsGreensRelation[102X 51.8-2 
  [2XIsGreensRRelation[102X 51.8-2 
  [2XIsGroup[102X 39.2-7 
  [2XIsGroupGeneralMapping[102X 32.9-4 
  [2XIsGroupGeneralMappingByAsGroupGeneralMappingByImages[102X 40.10-3 
  [2XIsGroupGeneralMappingByImages[102X 40.10-1 
  [2XIsGroupGeneralMappingByPcgs[102X 40.10-7 
  [2XIsGroupHClass[102X 51.8-11 
  [2XIsGroupHomomorphism[102X 32.9-4 
  [2XIsGroupOfAutomorphisms[102X 40.7-2 
  [2XIsGroupRing[102X 65.1-5 
  [2XIsHandledByNiceBasis[102X 61.11-6 
  [2XIsHandledByNiceMonomorphism[102X 40.5-1 
  [2XIsHasseDiagram[102X 33.2-7 
  [2XIsHomogeneousList[102X 21.1-3 
  [2XIsIdempotent[102X 31.10-7 
  [2XIsIdenticalObj[102X 12.5-1 
  [2XIsIncomparableUnder[102X 34.3-3 
  [2XIsInducedFromNormalSubgroup[102X 75.3-4 
  [2XIsInducedPcgs[102X 45.7-1 
  [2XIsInducedPcgsWrtSpecialPcgs[102X 45.13-7 
  [2XIsInfBitsFamily[102X 37.6-7 
  [2XIsInfiniteAbelianizationGroup[102X 47.16-1 
  [10XIsInfiniteAbelianizationGroup[110X, for groups 47.16-1 
  [2XIsInfinity[102X 18.2-1 
  [2XIsInjective[102X 32.3-4 
  [2XIsInjectiveListTrans[102X 53.4-2 
  [2XIsInnerAutomorphism[102X 40.6-4 
  [2XIsInputOutputStream[102X 10.8-1 
  [2XIsInputStream[102X 10.1-3 
  [2XIsInputTextNone[102X 10.1-5 
  [2XIsInputTextStream[102X 10.1-4 
  [2XIsInt[102X 14.2-1 
  [2XIsIntegerMatrixGroup[102X 44.6-3 
  [2XIsIntegers[102X 14.1-2 
  [2XIsIntegralBasis[102X 61.7-2 
  [2XIsIntegralCyclotomic[102X 18.1-4 
  [2XIsIntegralRing[102X 56.4-1 
  [2XIsInternallyConsistent[102X 12.8-4 
      for character tables 71.12-2 
      for tables of marks 70.9-1 
  [2XIsInverseMonoid[102X 51.4-8 
  [2XIsInverseSemigroup[102X 51.4-8 
  [2XIsInverseSubsemigroup[102X 51.3-5 
  [2XIsIrreducibleCharacter[102X 72.8-3 
  [2XIsIrreducibleRingElement[102X 56.5-7 
  [2XIsIterator[102X 30.8-3 
  [2XIsJacobianElement[102X 31.15-5 
  [2XIsJacobianElementCollColl[102X 31.15-5 
  [2XIsJacobianElementCollection[102X 31.15-5 
  [2XIsJacobianRing[102X 56.4-8 
  [2XIsLaurentPolynomial[102X 66.4-10 
  [2XIsLaurentPolynomialDefaultRep[102X 66.21-7 
  [2XIsLDistributive[102X 56.4-3 
  [2XIsLeftAlgebraModuleElement[102X 62.11-9 
  [2XIsLeftAlgebraModuleElementCollection[102X 62.11-9 
  [2XIsLeftIdeal[102X 56.2-3 
  [2XIsLeftIdealInParent[102X 56.2-3 
  [2XIsLeftModule[102X 57.1-2 
  [2XIsLeftModuleGeneralMapping[102X 32.11-2 
  [2XIsLeftModuleHomomorphism[102X 32.11-2 
  [2XIsLeftOperatorAdditiveGroup[102X 57.1-1 
  [2XIsLeftSemigroupIdeal[102X 51.5-3 
  [2XIsLeftVectorSpace[102X 61.1-1 
  [2XIsLessThanOrEqualUnder[102X 34.3-8 
  [2XIsLessThanUnder[102X 34.3-7 
  [2XIsLetterAssocWordRep[102X 37.6-1 
  [2XIsLetterWordsFamily[102X 37.6-2 
  [2XIsLexicographicallyLess[102X 21.20-9 
  [2XIsLexOrderedFFE[102X 59.1-3 
  [2XIsLieAbelian[102X 64.5-1 
  [2XIsLieAlgebra[102X 62.8-5 
  [2XIsLieMatrix[102X 24.2-3 
  [2XIsLieNilpotent[102X 64.5-2 
  [2XIsLieObject[102X 64.1-2 
  [2XIsLieObjectCollection[102X 64.1-2 
  [2XIsLieSolvable[102X 64.5-3 
  [2XIsLinearMapping[102X 32.11-3 
  [2XIsLinearMappingsModule[102X 61.10-9 
  [2XIsLineByLineProfileActive[102X 7.8-19 
  [2XIsList[102X 21.1-1 
  [2XIsListDefault[102X 21.12-3 
  [2XIsListOrCollection[102X 30.3-1 
  [2XIsLogOrderedFFE[102X 59.1-3 
  [2XIsLookupDictionary[102X 28.3-3 
  [2XIsLowerAlphaChar[102X 27.5-2 
  [2XIsLowerTriangularMat[102X 24.4-10 
  [2XIsMagma[102X 35.1-1 
  [2XIsMagmaHomomorphism[102X 32.8-1 
  [2XIsMagmaRingModuloRelations[102X 65.4-4 
  [2XIsMagmaRingModuloSpanOfZero[102X 65.5-2 
  [2XIsMagmaRingObjDefaultRep[102X 65.2-1 
  [2XIsMagmaWithInverses[102X 35.1-4 
  [2XIsMagmaWithInversesIfNonzero[102X 35.1-3 
  [2XIsMagmaWithOne[102X 35.1-2 
  [2XIsMagmaWithZeroAdjoined[102X 35.2-12 
  [2XIsMapping[102X 32.3-3 
  [2XIsMatchingSublist[102X 21.17-1 
  [2XIsMatrix[102X 24.2-1 
  [2XIsMatrixGroup[102X 44.1-1 
  [2XIsMatrixModule[102X 57.3-7 
  [2XIsMatrixSpace[102X 61.9-2 
  [2XIsMersenneTwister[102X 14.7-4 
  [2XIsMinimalNonmonomial[102X 75.5-1 
  [2XIsModuloPcgs[102X 45.9-2 
  [2XIsMonoid[102X 51.2-1 
  [2XIsMonomial[102X, for a character table 71.8-5 
  [10XIsMonomial[110X, for positive integers 75.4-3 
  [2XIsMonomialGroup[102X 39.15-9 
  [2XIsMonomialMatrix[102X 24.4-7 
  [2XIsMonomialNumber[102X 75.4-3 
  [2XIsMonomialOrdering[102X 66.17-1 
  [2XIsMultiplicativeElement[102X 31.14-10 
  [2XIsMultiplicativeElementWithInverse[102X 31.14-13 
  [2XIsMultiplicativeElementWithOne[102X 31.14-11 
  [2XIsMultiplicativeElementWithZero[102X 31.14-12 
  [2XIsMultiplicativeGeneralizedRowVector[102X 21.12-2 
  [2XIsMultiplicativeZero[102X 35.4-11 
  [2XIsMutable[102X 12.6-2 
  [2XIsMutableBasis[102X 61.8-1 
  [2XIsNaN[102X 19.2-9 
  [2XIsNaturalAlternatingGroup[102X 43.4-1 
  [2XIsNaturalGL[102X 44.4-2 
  [2XIsNaturalGLnZ[102X 44.6-4 
  [2XIsNaturalSL[102X 44.4-4 
  [2XIsNaturalSLnZ[102X 44.6-5 
  [2XIsNaturalSymmetricGroup[102X 43.4-1 
  [2XIsNearAdditiveElement[102X 31.14-2 
  [2XIsNearAdditiveElementWithInverse[102X 31.14-6 
  [2XIsNearAdditiveElementWithZero[102X 31.14-4 
  [2XIsNearAdditiveGroup[102X 55.1-3 
  [2XIsNearAdditiveMagma[102X 55.1-1 
  [2XIsNearAdditiveMagmaWithInverses[102X 55.1-3 
  [2XIsNearAdditiveMagmaWithZero[102X 55.1-2 
  [2XIsNearlyCharacterTable[102X 71.4-1 
  [2XIsNearRingElement[102X 31.14-15 
  [2XIsNearRingElementWithInverse[102X 31.14-19 
  [2XIsNearRingElementWithOne[102X 31.14-17 
  [2XIsNegInfinity[102X 18.2-1 
  [2XIsNegRat[102X 17.2-3 
  [2XIsNilpotent[102X, for a character table 71.8-5 
  [10XIsNilpotent[110X, for groups with pcgs 45.16 
  [2XIsNilpotentElement[102X 64.9-5 
  [2XIsNilpotentGroup[102X 39.15-3 
  [2XIsNilpotentTom[102X 70.8-1 
  [2XIsNInfinity[102X 19.2-9 
  [2XIsNonassocWord[102X 36.1-3 
  [2XIsNonassocWordCollection[102X 36.1-4 
  [2XIsNonassocWordWithOne[102X 36.1-3 
  [2XIsNonassocWordWithOneCollection[102X 36.1-4 
  [2XIsNonnegativeIntegers[102X 14.1-2 
  [2XIsNonSPGeneralMapping[102X 32.14-1 
  [2XIsNonTrivial[102X 30.4-4 
  [2XIsNormal[102X 39.3-6 
  [2XIsNormalBasis[102X 61.7-3 
  [2XIsNotIdenticalObj[102X 12.5-2 
  [2XIsNumberField[102X 60.2-2 
  [2XIsObject[102X 12.1-1 
  [2XIsOddInt[102X 14.2-5 
  isomorphic, pc group 46.4-8  46.5-2 
  [2XIsomorphicSubgroups[102X 40.9-5 
  [2XIsomorphismFpAlgebra[102X 62.10-10 
  [2XIsomorphismFpGroup[102X 47.11-1 
  [10XIsomorphismFpGroup[110X, for subgroups of fp groups 47.12 
  [2XIsomorphismFpGroupByGenerators[102X 47.11-2 
  [2XIsomorphismFpGroupByGeneratorsNC[102X 47.11-2 
  [2XIsomorphismFpGroupByPcgs[102X 46.3-2 
  [2XIsomorphismFpMonoid[102X 52.2-3 
  [2XIsomorphismFpSemigroup[102X 52.2-3 
  [2XIsomorphismGroups[102X 40.9-1 
  [2XIsomorphismMatrixAlgebra[102X 62.10-11 
  [2XIsomorphismPartialPermMonoid[102X 54.7-6 
  [2XIsomorphismPartialPermSemigroup[102X 54.7-6 
  [2XIsomorphismPcGroup[102X 46.5-2 
  [2XIsomorphismPermGroup[102X 43.3-1 
      for Imf matrix groups 50.7-5 
  [2XIsomorphismPermGroupImfGroup[102X 50.7-6 
  [2XIsomorphismReesMatrixSemigroup[102X 51.9-3 
  [2XIsomorphismReesZeroMatrixSemigroup[102X 51.9-3 
  [2XIsomorphismRefinedPcGroup[102X 46.4-8 
  [10XIsomorphism[3XRep[103X[10X[3XStruct[103X[10X[110X 31.5 
  isomorphisms, find all 40.9-1 
  [2XIsomorphismSCAlgebra[102X, for an algebra 62.10-12 
      w.r.t. a given basis 62.10-12 
  [2XIsomorphismSimplifiedFpGroup[102X 47.12-1 
  [2XIsomorphismSpecialPcGroup[102X 46.5-3 
  [2XIsomorphismTransformationMonoid[102X 53.7-5 
  [2XIsomorphismTransformationSemigroup[102X 53.7-5 
  [2XIsomorphismTypeInfoFiniteSimpleGroup[102X, for a character table 71.8-5 
      for a group 39.15-12 
      for a group order 39.15-12 
  [2XIsOne[102X 31.10-5 
  [2XIsOperation[102X 5.5-2 
  [2XIsOrdering[102X 34.1-1 
  [2XIsOrderingOnFamilyOfAssocWords[102X 34.4-1 
  [2XIsOrdinaryMatrix[102X 24.2-2 
  [2XIsOrdinaryTable[102X 71.4-1 
  [2XIsOutputStream[102X 10.1-6 
  [2XIsOutputTextNone[102X 10.1-8 
  [2XIsOutputTextStream[102X 10.1-7 
  [2XIsPackageMarkedForLoading[102X 76.3-8 
  [10XIsPackageMarkedForLoading[110X 76.12 
  [2XIsPadicExtensionNumber[102X 68.2-3 
  [2XIsPadicExtensionNumberFamily[102X 68.2-4 
  [2XIsParentPcgsFamilyPcgs[102X 46.1-4 
  [2XIsPartialOrderBinaryRelation[102X 33.2-6 
  [2XIsPartialPerm[102X 54.1-1 
  [2XIsPartialPermCollection[102X 54.1-2 
  [2XIsPartialPermMonoid[102X 54.7-1 
  [2XIsPartialPermSemigroup[102X 54.7-1 
  [2XIsPcGroup[102X 46.3-1 
  [2XIsPcGroupGeneralMappingByImages[102X 40.10-8 
  [2XIsPcGroupHomomorphismByImages[102X 40.10-8 
  [2XIsPcgs[102X 45.2-2 
  [2XIsPcgsCentralSeries[102X 45.11-5 
  [2XIsPcgsChiefSeries[102X 45.11-13 
  [2XIsPcgsElementaryAbelianSeries[102X 45.11-1 
  [2XIsPcgsPCentralSeriesPGroup[102X 45.11-9 
  [2XIsPerfect[102X, for a character table 71.8-5 
  [2XIsPerfectGroup[102X 39.15-5 
  [2XIsPerfectTom[102X 70.8-1 
  [2XIsPerm[102X 42.1-1 
  [2XIsPermCollColl[102X 42.1-2 
  [2XIsPermCollection[102X 42.1-2 
  [2XIsPermGroup[102X 43.1-1 
  [2XIsPermGroupGeneralMapping[102X 40.10-5 
  [2XIsPermGroupGeneralMappingByImages[102X 40.10-5 
  [2XIsPermGroupHomomorphism[102X 40.10-5 
  [2XIsPermGroupHomomorphismByImages[102X 40.10-5 
  [2XIsPGroup[102X 39.15-19 
  [2XIsPInfinity[102X 19.2-9 
  [2XIsPNilpotent[102X 39.15-25 
  [2XIsPolycyclicGroup[102X 39.15-7 
  [2XIsPolynomial[102X 66.4-4 
  [2XIsPolynomialDefaultRep[102X 66.21-5 
  [2XIsPolynomialFunction[102X 66.4-1 
  [2XIsPolynomialFunctionsFamily[102X 66.19-2 
  [2XIsPolynomialRing[102X 66.15-4 
  [2XIsPosInt[102X 14.2-2 
  [2XIsPositiveIntegers[102X 14.1-2 
  [2XIsPosRat[102X 17.2-2 
  [2XIsPowerfulPGroup[102X 39.15-20 
  [2XIsPreimagesByAsGroupGeneralMappingByImages[102X 40.10-4 
  [2XIsPreOrderBinaryRelation[102X 33.2-5 
  [2XIsPrime[102X 56.5-8 
  [2XIsPrimeField[102X 58.2-5 
  [2XIsPrimeInt[102X 14.4-2 
  [2XIsPrimeOrdersPcgs[102X 45.4-3 
  [2XIsPrimePowerInt[102X 14.4-4 
  [2XIsPrimitive[102X, for a group, an action domain, etc. 41.10-7 
      for an external set 41.10-7 
  [2XIsPrimitiveCharacter[102X 75.3-2 
  [2XIsPrimitivePolynomial[102X 66.4-12 
  [2XIsPrimitiveRootMod[102X 15.3-4 
  [2XIsProbablyPrimeInt[102X 14.4-2 
  [2XIsProperty[102X 79.18-5 
  [2XIsPseudoCanonicalBasisFullHomModule[102X 61.10-8 
  [2XIsPSolubleCharacterTable[102X 71.12-3 
  [2XIsPSolubleCharacterTableOp[102X 71.12-3 
  [2XIsPSolvable[102X 39.15-24 
  [2XIsPSolvableCharacterTable[102X 71.12-3 
  [2XIsPSolvableCharacterTableOp[102X 71.12-3 
  [2XIsPurePadicNumber[102X 68.1-5 
  [2XIsPurePadicNumberFamily[102X 68.1-6 
  [2XIsQuasiPrimitive[102X 75.3-3 
  [2XIsQuaternion[102X 62.8-8 
  [2XIsQuaternionCollColl[102X 62.8-8 
  [2XIsQuaternionCollection[102X 62.8-8 
  [2XIsQuickPositionList[102X 21.23-1 
  [2XIsQuotientSemigroup[102X 51.7-1 
  [2XIsRandomSource[102X 14.7-1 
  [2XIsRange[102X 21.22-1 
  [2XIsRat[102X 17.2-1 
  [2XIsRationalFunction[102X 66.4-1 
  [2XIsRationalFunctionDefaultRep[102X 66.21-1 
  [2XIsRationalFunctionsFamily[102X 66.19-2 
  [2XIsRationalMatrixGroup[102X 44.6-2 
  [2XIsRationals[102X 17.1-1 
  [2XIsRationalsPolynomialRing[102X 66.15-7 
  [2XIsRDistributive[102X 56.4-4 
  [2XIsReadableFile[102X 9.6-2 
  [2XIsReadOnlyGlobal[102X 4.9-1 
  [2XIsRecord[102X 29.1-1 
  [2XIsRecordCollColl[102X 29.1-1 
  [2XIsRecordCollection[102X 29.1-1 
  [2XIsRectangularTable[102X 21.1-5 
  [2XIsReduced[102X 38.1-7 
  [2XIsReductionOrdering[102X 34.4-3 
  [2XIsReesCongruence[102X 51.6-2 
  [2XIsReesCongruenceSemigroup[102X 51.4-7 
  [2XIsReesMatrixSemigroup[102X 51.9-7 
  [2XIsReesMatrixSemigroupElement[102X 51.9-4 
  [2XIsReesMatrixSubsemigroup[102X 51.9-6 
  [2XIsReesZeroMatrixSemigroup[102X 51.9-7 
  [2XIsReesZeroMatrixSemigroupElement[102X 51.9-4 
  [2XIsReesZeroMatrixSubsemigroup[102X 51.9-6 
  [2XIsReflexiveBinaryRelation[102X 33.2-1 
  [2XIsRegular[102X, for a group, an action domain, etc. 41.10-5 
      for an external set 41.10-5 
  [2XIsRegularDClass[102X 51.8-12 
  [2XIsRegularSemigroup[102X 51.4-1 
  [2XIsRegularSemigroupElement[102X 51.4-2 
  [2XIsRelativelySM[102X, for a character 75.4-6 
      for a group 75.4-6 
  [2XIsRepresentation[102X 79.18-4 
  [2XIsRestrictedJacobianElement[102X 31.15-5 
  [2XIsRestrictedJacobianElementCollColl[102X 31.15-5 
  [2XIsRestrictedJacobianElementCollection[102X 31.15-5 
  [2XIsRestrictedLieAlgebra[102X 64.8-1 
  [2XIsRestrictedLieObject[102X 64.1-2 
  [2XIsRestrictedLieObjectCollection[102X 64.1-2 
  [2XIsRewritingSystem[102X 38.1-1 
  [2XIsRightAlgebraModuleElement[102X 62.11-10 
  [2XIsRightAlgebraModuleElementCollection[102X 62.11-10 
  [2XIsRightCoset[102X 39.7-4 
  [2XIsRightIdeal[102X 56.2-3 
  [2XIsRightIdealInParent[102X 56.2-3 
  [2XIsRightModule[102X 57.1-7 
  [2XIsRightOperatorAdditiveGroup[102X 57.1-6 
  [2XIsRightSemigroupIdeal[102X 51.5-3 
  [2XIsRing[102X 56.1-1 
  [2XIsRingElement[102X 31.14-16 
  [2XIsRingElementWithInverse[102X 31.14-20 
  [2XIsRingElementWithOne[102X 31.14-18 
  [2XIsRingGeneralMapping[102X 32.12-1 
  [2XIsRingHomomorphism[102X 32.12-1 
  [2XIsRingWithOne[102X 56.3-1 
  [2XIsRingWithOneGeneralMapping[102X 32.12-2 
  [2XIsRingWithOneHomomorphism[102X 32.12-2 
  [2XIsRootSystem[102X 64.6-3 
  [2XIsRootSystemFromLieAlgebra[102X 64.6-4 
  [2XIsRowModule[102X 57.3-6 
  [2XIsRowSpace[102X 61.9-1 
  [2XIsRowVector[102X 23.1-1 
  [2XIsScalar[102X 31.14-20 
  [2XIsSemiEchelonized[102X 61.9-7 
  [2XIsSemigroup[102X 51.1-1 
  [2XIsSemigroupCongruence[102X 51.6-1 
  [2XIsSemigroupIdeal[102X 51.5-3 
  [2XIsSemilatticeAsSemigroup[102X 77.6-1 
  [2XIsSemiRegular[102X, for a group, an action domain, etc. 41.10-4 
      for an external set 41.10-4 
  [2XIsSet[102X 21.17-4 
  [2XIsShortLexLessThanOrEqual[102X 37.3-3 
  [2XIsShortLexOrdering[102X 34.4-7 
  [2XIsSimple[102X, for a character table 71.8-5 
  [2XIsSimpleAlgebra[102X 62.8-6 
  [2XIsSimpleGroup[102X 39.15-10 
  [2XIsSimpleSemigroup[102X 51.4-4 
  [2XIsSingleValued[102X 32.3-2 
  [2XIsSL[102X 44.4-3 
  [2XIsSolvable[102X, for a character table 71.8-5 
  [2XIsSolvableGroup[102X 39.15-6 
  [2XIsSolvableTom[102X 70.8-1 
  [2XIsSortedList[102X 21.17-3 
  [2XIsSpecialLinearGroup[102X 44.4-3 
  [2XIsSpecialPcgs[102X 45.13-1 
  [2XIsSPGeneralMapping[102X 32.14-1 
  [2XIsSporadicSimple[102X, for a character table 71.8-5 
  [2XIsSSortedList[102X 21.17-4 
  [2XIsStandardIterator[102X 30.8-1 
  [2XIsStraightLineProgElm[102X 37.9-1 
  [2XIsStraightLineProgram[102X 37.8-1 
  [2XIsStream[102X 10.1-1 
  [2XIsString[102X 27.1-2 
  [2XIsStringRep[102X 27.4-1 
  [10XIs[3XStruct[103X[10X[110X 31.6 
  [2XIsSubgroup[102X 39.3-5 
  [2XIsSubgroupFpGroup[102X 47.1-1 
  [2XIsSubgroupOfWholeGroupByQuotientRep[102X 47.13-2 
  [2XIsSubgroupSL[102X 44.4-5 
  [2XIsSubmonoidFpMonoid[102X 52.1-1 
  [2XIsSubnormal[102X 39.3-10 
  [2XIsSubnormallyMonomial[102X, for a character 75.4-5 
      for a group 75.4-5 
  [2XIsSubsemigroup[102X 51.1-4 
  [2XIsSubsemigroupFpSemigroup[102X 52.1-1 
  [2XIsSubset[102X 30.5-1 
      for interval floats 19.5-7 
  [2XIsSubsetBlist[102X 22.2-4 
  [2XIsSubsetLocallyFiniteGroup[102X 39.15-18 
  [2XIsSubsetSet[102X 21.19-3 
  [2XIsSubspacesVectorSpace[102X 61.4-2 
  [10XIsSub[3Xstruct[103X[10X[110X 31.8 
  [2XIsSupersolvable[102X, for a character table 71.8-5 
  [10XIsSupersolvable[110X, for groups with pcgs 45.16 
  [2XIsSupersolvableGroup[102X 39.15-8 
  [2XIsSurjective[102X 32.3-5 
  [2XIsSyllableAssocWordRep[102X 37.6-5 
  [2XIsSyllableWordsFamily[102X 37.6-6 
  [2XIsSymmetricBinaryRelation[102X 33.2-2 
  [2XIsSymmetricGroup[102X 43.4-2 
  [2XIsSymmetricInverseMonoid[102X 54.7-4 
  [2XIsSymmetricInverseSemigroup[102X 54.7-4 
  [2XIsTable[102X 21.1-4 
  [2XIsTableOfMarks[102X 70.6-2 
  [2XIsTableOfMarksWithGens[102X 70.10-3 
  [2XIsToPcGroupGeneralMappingByImages[102X 40.10-9 
  [2XIsToPcGroupHomomorphismByImages[102X 40.10-9 
  [2XIsToPermGroupGeneralMappingByImages[102X 40.10-6 
  [2XIsToPermGroupHomomorphismByImages[102X 40.10-6 
  [2XIsTotal[102X 32.3-1 
  [2XIsTotalOrdering[102X 34.3-2 
  [2XIsTransformation[102X 53.1-1 
  [2XIsTransformationCollection[102X 53.1-2 
  [2XIsTransformationMonoid[102X 53.7-1 
  [2XIsTransformationSemigroup[102X 53.7-1 
  [2XIsTransitive[102X, for a character 72.8-15 
      for a group, an action domain, etc. 41.10-1 
      for a permutation group 41.10-1 
      for an external set 41.10-1 
  [2XIsTransitiveBinaryRelation[102X 33.2-3 
  [2XIsTranslationInvariantOrdering[102X 34.4-2 
  [2XIsTrivial[102X 30.4-3 
  [2XIsTwoSidedIdeal[102X 56.2-3 
  [2XIsTwoSidedIdealInParent[102X 56.2-3 
  [2XIsUEALatticeElement[102X 64.14-1 
  [2XIsUEALatticeElementCollection[102X 64.14-1 
  [2XIsUEALatticeElementFamily[102X 64.14-1 
  [2XIsUniqueFactorizationRing[102X 56.4-2 
  [2XIsUnit[102X 56.5-1 
  [2XIsUnivariatePolynomial[102X 66.4-8 
  [2XIsUnivariatePolynomialRing[102X 66.16-2 
  [2XIsUnivariateRationalFunction[102X 66.4-6 
  [2XIsUnknown[102X 74.1-3 
  [2XIsUpperAlphaChar[102X 27.5-3 
  [2XIsUpperTriangularMat[102X 24.4-9 
  [2XIsValidIdentifier[102X 4.6-1 
  [2XIsVector[102X 31.14-14 
  [2XIsVectorSpace[102X 61.1-1 
  [2XIsVirtualCharacter[102X 72.8-2 
  [2XIsWeightLexOrdering[102X 34.4-9 
  [2XIsWeightRepElement[102X 64.14-4 
  [2XIsWeightRepElementCollection[102X 64.14-4 
  [2XIsWeightRepElementFamily[102X 64.14-4 
  [2XIsWellFoundedOrdering[102X 34.3-1 
  [2XIsWeylGroup[102X 64.7-1 
  [2XIsWholeFamily[102X 30.4-5 
  [2XIsWLetterAssocWordRep[102X 37.6-3 
  [2XIsWLetterWordsFamily[102X 37.6-4 
  [2XIsWord[102X 36.1-1 
  [2XIsWordCollection[102X 36.1-2 
  [2XIsWordWithInverse[102X 36.1-1 
  [2XIsWordWithOne[102X 36.1-1 
  [2XIsWreathProductOrdering[102X 34.4-14 
  [2XIsWritableFile[102X 9.6-3 
  [2XIsXInfinity[102X 19.2-9 
  [2XIsZero[102X 31.10-6 
  [2XIsZeroGroup[102X 51.4-6 
  [2XIsZeroSimpleSemigroup[102X 51.4-5 
  [2XIsZeroSquaredElement[102X 31.15-6 
  [2XIsZeroSquaredElementCollColl[102X 31.15-6 
  [2XIsZeroSquaredElementCollection[102X 31.15-6 
  [2XIsZeroSquaredRing[102X 56.4-7 
  [2XIsZmodnZObj[102X 14.5-4 
  [2XIsZmodnZObjNonprime[102X 14.5-4 
  [2XIsZmodpZObj[102X 14.5-4 
  [2XIsZmodpZObjLarge[102X 14.5-4 
  [2XIsZmodpZObjSmall[102X 14.5-4 
  [2XIterated[102X 21.20-27 
  [2XIterator[102X 30.8-1 
  iterator, for low index subgroups 47.10-1 
  [2XIteratorByBasis[102X 61.6-6 
  [2XIteratorByFunctions[102X 30.8-8 
  [2XIteratorList[102X 30.8-6 
  [2XIteratorOfCartesianProduct[102X, for a list of lists 21.20-17 
      for several lists 21.20-17 
  [2XIteratorOfCombinations[102X 16.2-2 
  [2XIteratorOfPartitions[102X 16.2-19 
  [2XIteratorOfTuples[102X 16.2-10 
  [2XIteratorSorted[102X 30.8-2 
  [2XIteratorStabChain[102X 43.10-10 
  [22Xj_N[122X (irrational value) 18.4-4 
  [2XJacobi[102X 15.4-1 
  [2XJenningsLieAlgebra[102X 64.8-4 
  [2XJenningsSeries[102X 39.17-14 
  [2XJoinEquivalenceRelations[102X 33.6-3 
  [2XJoinOfIdempotentPartialPermsNC[102X 54.2-4 
  [2XJoinOfPartialPerms[102X 54.2-4 
  [2XJoinStringsWithSeparator[102X 27.7-20 
  [2XJordanDecomposition[102X 24.13-2 
  [22Xk_N[122X (irrational value) 18.4-4 
  [2XKappaPerp[102X 64.9-4 
  [2XKB_REW[102X 52.5-2 
  kernel, group homomorphism 40.2 
      of a matrix 24.7-4 
  [2XKernelOfAdditiveGeneralMapping[102X 32.10-5 
  [2XKernelOfCharacter[102X 72.8-9 
  [2XKernelOfMultiplicativeGeneralMapping[102X 32.9-5 
  [2XKernelOfTransformation[102X 53.5-12 
  [2XKeyDependentOperation[102X 85.1-1 
  [2XKillingMatrix[102X 64.9-3 
  [2XKnownAttributesOfObject[102X 13.5-1 
  [2XKnownPropertiesOfObject[102X 13.7-1 
  [2XKnownTruePropertiesOfObject[102X 13.7-2 
  [2XKnowsDictionary[102X 28.3-5 
  [2XKnowsHowToDecompose[102X 39.25-7 
  [2XKnuthBendixRewritingSystem[102X, for a monoid and a reduction ordering 52.5-3 
      for a semigroup and a reduction ordering 52.5-3 
  Krasner-Kaloujnine theorem 49.4-4 
  [2XKroneckerProduct[102X 24.5-8 
  [2XKuKGenerators[102X 49.4-4 
  [22Xl_N[122X (irrational value) 18.4-4 
  [2XLambda[102X 15.2-3 
  larger or equal 4.12 
  larger test 4.12 
  [2XLargerQuotientBySubgroupAbelianization[102X 47.14-7 
  [2XLargestElementGroup[102X 39.22-2 
  [2XLargestElementStabChain[102X 43.10-14 
  [2XLargestImageOfMovedPoint[102X, for a partial permutation 54.3-15 
      for a partial permutation coll 54.3-15 
      for a transformation 53.5-10 
      for a transformation coll 53.5-10 
  [2XLargestMovedPoint[102X, for a list or collection of permutations 42.3-2 
      for a partial perm 54.3-13 
      for a partial perm coll 54.3-13 
      for a permutation 42.3-2 
      for a transformation 53.5-8 
      for a transformation coll 53.5-8 
  [2XLargestUnknown[102X 74.1-2 
  [10Xlast[110X 6.1 
  [10Xlast2[110X 6.1 
  [10Xlast3[110X 6.1 
  [2XLastSystemError[102X 9.1-1 
  LaTeX, for a decomposition matrix 71.11-4 
      for GAP objects 27.11 
      for permutation characters 72.13 
      for the result of a straight line program 37.8-5 
  [2XLaTeXStringDecompositionMatrix[102X 71.11-5 
  lattice base reduction 25.5-1  25.5-2 
  lattice basis reduction, for virtual characters 72.10-4 
  [2XLatticeByCyclicExtension[102X 39.21-1 
  [2XLatticeGeneratorsInUEA[102X 64.14-2 
  [2XLatticeSubgroups[102X 39.20-1 
  [2XLatticeSubgroupsByTom[102X 70.3-3 
  [2XLaurentPolynomialByCoefficients[102X 66.13-1 
  [2XLaurentPolynomialByExtRep[102X 66.22-3 
  [2XLaurentPolynomialByExtRepNC[102X 66.22-3 
  [2XLClassOfHClass[102X 51.8-5 
  [2XLcm[102X, for (a ring and) a list of elements 56.7-6 
      for (a ring and) several elements 56.7-6 
  [2XLcmInt[102X 14.3-6 
  [2XLcmOp[102X 56.7-7 
  [2XLdExp[102X 19.2-10 
  [2XLeadCoeffsIGS[102X 45.7-7 
  [2XLeadingCoefficient[102X 66.6-3 
  [2XLeadingCoefficientOfPolynomial[102X 66.17-4 
  [2XLeadingExponentOfPcElement[102X 45.5-5 
  [2XLeadingMonomial[102X 66.6-4 
  [2XLeadingMonomialOfPolynomial[102X 66.17-2 
  [2XLeadingTermOfPolynomial[102X 66.17-3 
  left cosets 39.7-4 
  [2XLeftActingAlgebra[102X 62.11-11 
  [2XLeftActingDomain[102X 57.1-11 
  [2XLeftActingRingOfIdeal[102X 56.2-10 
  [2XLeftAlgebraModule[102X 62.11-4 
  [2XLeftAlgebraModuleByGenerators[102X 62.11-1 
  [2XLeftDerivations[102X 64.2-6 
  [2XLeftIdeal[102X 56.2-1 
  [2XLeftIdealByGenerators[102X 56.2-5 
  [2XLeftIdealNC[102X 56.2-2 
  [2XLeftModuleByGenerators[102X 57.1-10 
  [2XLeftModuleByHomomorphismToMatAlg[102X 62.11-17 
  [2XLeftModuleGeneralMappingByImages[102X 61.10-1 
  [2XLeftModuleHomomorphismByImages[102X 61.10-2 
  [2XLeftModuleHomomorphismByImagesNC[102X 61.10-2 
  [2XLeftModuleHomomorphismByMatrix[102X 61.10-3 
  [2XLeftOne[102X, for a partial perm 54.3-21 
      for a transformation 53.5-22 
  [2XLeftQuotient[102X 31.12-2 
  [10XLeftQuotient[110X, for words 37.4 
  [2XLeftShiftRowVector[102X 23.5-1 
  legacy 77. 
  [2XLegendre[102X 15.4-2 
  [2XLength[102X 21.17-5 
      for a associative word 37.4-1 
  length, of a word 37.4-1 
  [2XLengthsTom[102X 70.7-3 
  [2XLengthWPObj[102X 86.2-1 
  [2XLenstraBase[102X 60.3-2 
  [2XLessThanFunction[102X 34.3-5 
  [2XLessThanOrEqualFunction[102X 34.3-6 
  [2XLetterRepAssocWord[102X 37.6-8 
  [2XLevelsOfGenerators[102X 34.4-15 
  [2XLeviMalcevDecomposition[102X, for Lie algebras 62.9-19 
  [2XLexicographicOrdering[102X 34.4-5 
  [2XLGFirst[102X 45.13-5 
  [2XLGLayers[102X 45.13-4 
  [2XLGLength[102X 45.13-6 
  [2XLGWeights[102X 45.13-3 
  library tables 71.3 
  [2XLieAlgebra[102X, for an associative algebra 64.2-3 
      for field and generators 64.2-3 
  [2XLieAlgebraByStructureConstants[102X 64.2-1 
  [2XLieBracket[102X 31.12-4 
  [2XLieCenter[102X 64.3-1 
  [2XLieCentralizer[102X 64.3-2 
  [2XLieCentre[102X 64.3-1 
  [2XLieCoboundaryOperator[102X 64.12-5 
  [2XLieDerivedSeries[102X 64.4-1 
  [2XLieDerivedSubalgebra[102X 64.3-4 
  [2XLieFamily[102X 64.1-3 
  [2XLieLowerCentralSeries[102X 64.4-2 
  [2XLieNilRadical[102X 64.3-5 
  [2XLieNormalizer[102X 64.3-3 
  [2XLieObject[102X 64.1-1 
  [2XLieSolvableRadical[102X 64.3-6 
  [2XLieUpperCentralSeries[102X 64.4-3 
  [2XLiftedInducedPcgs[102X 45.10-4 
  [2XLiftedPcElement[102X 45.10-3 
  [2XLinearAction[102X 45.14-2 
  [2XLinearActionLayer[102X 45.14-3 
  [2XLinearCharacters[102X, for a character table 71.8-3 
      for a group 71.8-3 
  [2XLinearCombination[102X 61.6-4 
  [2XLinearCombinationPcgs[102X 45.5-7 
  [2XLinearIndependentColumns[102X 25.4-2 
  [2XLinearOperation[102X 45.14-2 
  [2XLinearOperationLayer[102X 45.14-3 
  [2XLinesOfStraightLineProgram[102X 37.8-3 
  [2XList[102X, for a collection 30.3-5 
      for a list (and a function) 21.20-19 
  list, sorted 21.17-3 
  list and non-list, difference 21.13-4 
      left quotient 21.14-6 
      mod 21.14-5 
      product 21.14-3 
      quotient 21.14-4 
  list assignment, operation 21.2 
  list boundedness test, operation 21.2 
  list element, access 21.3 
      assignment 21.4 
      operation 21.2 
  list equal, comparison 21.10 
  list of available books 2.2 
  list smaller, comparison 21.10 
  list unbind, operation 21.2 
  [2XListBlist[102X 22.2-2 
  [2XListN[102X 21.20-28 
  [2XListOfDigits[102X 14.2-11 
  [2XListPerm[102X 42.5-1 
  [2XListStabChain[102X 43.10-8 
  [2XListTransformation[102X 53.5-2 
  [2XListWithIdenticalEntries[102X 21.15-1 
  [2XListX[102X 21.21-1 
  [2XLLL[102X 72.10-4 
  LLL algorithm, for Gram matrices 25.5-2 
      for vectors 25.5-1 
      for virtual characters 72.10-4 
  [2XLLLReducedBasis[102X 25.5-1 
  [2XLLLReducedGramMat[102X 25.5-2 
  [2XLoadAllPackages[102X 76.18-3 
  [2XLoadDynamicModule[102X 76.3-11 
  [2XLoadPackage[102X 76.2-1 
  [9Xlocal[109X 4.23 
  local namespace, for a GAP package 76.10 
  [2XLocationFunc[102X 5.1-6 
  [2XLog[102X 19.2-10 
  [2XLog10[102X 19.2-10 
  [2XLog1p[102X 19.2-10 
  [2XLog2[102X 19.2-10 
  logarithm, discrete 15.3-2 
      of a root of unity 18.1-13 
  [2XLogFFE[102X 59.2-2 
  logical 20. 
  Logical conjunction 20.4-2 
  Logical disjunction 20.4-1 
  Logical negation 20.4-3 
  logical operations 20.4 
  [2XLogInt[102X 14.2-8 
  [2XLogMod[102X 15.3-2 
  [2XLogModShanks[102X 15.3-2 
  [2XLogPackageLoadingMessage[102X 76.2-5 
  [10XLogPackageLoadingMessage[110X 76.14-2 
  [2XLogTo[102X, for a filename 9.7-4 
      for streams 10.4-5 
      stop logging 9.7-4 
  [2XLongestWeylWordPerm[102X 64.7-5 
  [2XLookupDictionary[102X 28.3-6 
  loop, for 4.20 
      read eval print 6.1 
      repeat 4.19 
      while 4.18 
  loop over iterator 4.20 
  loop over object 4.20 
  loop over range 4.20 
  loops, leaving 4.21 
      restarting 4.22 
  [2XLowercaseChar[102X 27.7-12 
  [2XLowercaseString[102X 27.7-11 
  [2XLowerCentralSeriesOfGroup[102X 39.17-11 
  [2XLowIndexSubgroups[102X 39.19-6 
  [2XLowIndexSubgroupsFpGroup[102X 47.10-1 
  [2XLowIndexSubgroupsFpGroupIterator[102X 47.10-1 
  [2XLowLayerSubgroups[102X 39.20-6 
  [10XLQUO[110X, for a permutation and transformation 53.4 
      for a permutation or partial permutation
          and partial permutation 54.5 
  [2XLucas[102X 16.3-2 
  [22Xm_N[122X (irrational value) 18.4-4 
  [2XMagma[102X 35.2-1 
  [2XMagmaByGenerators[102X 35.2-4 
  [2XMagmaByMultiplicationTable[102X 35.3-1 
  [2XMagmaElement[102X 35.3-4 
  [2XMagmaHomomorphismByFunctionNC[102X 32.8-2 
  [2XMagmaRingModuloSpanOfZero[102X 65.5-3 
  [2XMagmaWithInverses[102X 35.2-3 
  [2XMagmaWithInversesByGenerators[102X 35.2-6 
  [2XMagmaWithInversesByMultiplicationTable[102X 35.3-3 
  [2XMagmaWithOne[102X 35.2-2 
  [2XMagmaWithOneByGenerators[102X 35.2-5 
  [2XMagmaWithOneByMultiplicationTable[102X 35.3-2 
  [2XMagmaWithZeroAdjoined[102X 35.2-13 
  [2XMakeBitfields[102X 14.8-1 
  [2XMakeConfluent[102X 38.1-11 
  [2XMakeConstantGlobal[102X 4.9-4 
  [2XMakeFloat[102X 19.2-1 
  [2XMakeImmutable[102X 12.6-4 
  [2XMakeReadOnlyGlobal[102X 4.9-2 
  [2XMakeReadWriteGlobal[102X 4.9-3 
  map, parametrized 73.5 
  [2XMappedWord[102X 36.3-1 
  [2XMappingByFunction[102X, by function (and inverse function) between two domains 32.2-2 
      by function and function that computes one preimage 32.2-2 
  [2XMappingGeneratorsImages[102X 40.10-2 
  [2XMappingPermListList[102X 42.5-3 
  maps 73. 
  [2XMarksTom[102X 70.7-1 
  [2XMatAlgebra[102X 62.5-4 
  [2XMatClassMultCoeffsCharTable[102X 71.12-9 
  [2XMathieuGroup[102X 50.1-11 
  [2XMatLieAlgebra[102X 64.2-5 
  matrices, commutator 24.3 
  [2XMatrix[102X 51.9-8 
  matrix automorphisms 73.2-2 
  matrix spaces 61.9 
  [2XMatrixAlgebra[102X 62.5-4 
  [2XMatrixAutomorphisms[102X 71.22-1 
  [2XMatrixByBlockMatrix[102X 24.17-3 
  [2XMatrixLieAlgebra[102X 64.2-5 
  [2XMatrixOfAction[102X 62.11-15 
  [2XMatScalarProducts[102X 72.8-6 
  [2XMatTom[102X 70.7-10 
  [2XMaximalAbelianQuotient[102X 39.18-4 
  [2XMaximalBlocks[102X, for a group, an action domain, etc. 41.11-2 
      for an external set 41.11-2 
  [2XMaximalNormalSubgroups[102X 39.19-10 
  [2XMaximalSubgroupClassReps[102X 39.19-5 
  [2XMaximalSubgroups[102X 39.19-8 
  [10XMaximalSubgroups[110X, for groups with pcgs 45.16 
  [2XMaximalSubgroupsLattice[102X 39.20-4 
  [2XMaximalSubgroupsTom[102X 70.9-12 
  [2XMaximum[102X, for a list 21.20-13 
      for various objects 21.20-13 
  [2XMaximumList[102X 21.20-15 
  meet strategy 87.2-4 
  [2XMeetEquivalenceRelations[102X 33.6-3 
  [2XMeetMaps[102X 73.5-8 
  [2XMeetOfPartialPerms[102X 54.2-5 
  [2XMemoizePosIntFunction[102X 5.3-1 
  [10Xmemory_allocated[110X 6.1 
  [2Xmemory_allocated[102X 7.7-2 
  [2XMemoryUsage[102X 12.8-5 
  method 78. 
  [2XMid[102X 19.5-3 
  [2XMinimalElementCosetStabChain[102X 43.10-13 
  [2XMinimalGeneratingSet[102X 39.22-3 
  [10XMinimalGeneratingSet[110X, for groups with pcgs 45.16 
  [2XMinimalNonmonomialGroup[102X 75.5-2 
  [2XMinimalNormalSubgroups[102X 39.19-11 
  [2XMinimalPolynomial[102X 66.8-1 
      over a field 58.3-2 
  [10XMinimalPolynomial[110X, over a ring 66.8 
  [2XMinimalStabChain[102X 43.8-5 
  [2XMinimalSupergroupsLattice[102X 39.20-5 
  [2XMinimalSupergroupsTom[102X 70.9-13 
  [2XMinimizedBombieriNorm[102X 66.12-2 
  [2XMinimum[102X, for a list 21.20-14 
      for various objects 21.20-14 
  [2XMinimumList[102X 21.20-15 
  [2XMinusCharacter[102X 73.6-5 
  [9Xmod[109X 4.13 
      arithmetic operators 4.13 
      for character tables 71.7 
  mod, Integers 14.5-2 
      Laurent polynomials 66.2 
      lists 21.14-5 
      rationals 4.13 
  [9Xmod[109X, residue class rings 14.5 
  modular inverse 4.13 
  modular remainder 4.13 
  modular roots 15.4-5 
  [2XModuleByRestriction[102X 62.11-21 
  [2XModuleOfExtension[102X 46.8-7 
  modulo 4.13 
      arithmetic operators 4.13 
      residue class rings 14.5 
  [2XModuloPcgs[102X 45.9-1 
  [2XMoebiusMu[102X 15.5-3 
  [2XMoebiusTom[102X 70.7-11 
  [2XMolienSeries[102X 72.12-1 
  [2XMolienSeriesInfo[102X 72.12-2 
  [2XMolienSeriesWithGivenDenominator[102X 72.12-4 
  [2XMonoid[102X, for a list 51.2-2 
      for various generators 51.2-2 
  [2XMonoidByGenerators[102X 51.2-4 
  [2XMonoidByMultiplicationTable[102X 51.2-10 
  [2XMonoidOfRewritingSystem[102X 52.5-4 
  [2XMonomialComparisonFunction[102X 66.17-5 
  [2XMonomialExtGrlexLess[102X 66.17-14 
  [2XMonomialExtrepComparisonFun[102X 66.17-6 
  [2XMonomialGrevlexOrdering[102X 66.17-9 
  [2XMonomialGrlexOrdering[102X 66.17-8 
  [2XMonomialLexOrdering[102X 66.17-7 
  [10XMonomialTotalDegreeLess[110X 77.4 
  monomorphisms, find all 40.9-5 
  [2XMorClassLoop[102X 40.9-6 
  [2XMostFrequentGeneratorFpGroup[102X 47.6-8 
  [2XMovedPoints[102X, for a list or collection of permutations 42.3-3 
      for a partial perm 54.3-9 
      for a partial perm coll 54.3-9 
      for a permutation 42.3-3 
      for a transformation 53.5-5 
      for a transformation coll 53.5-5 
  [2XMTX[102X 69.3-1 
  [2XMTX.BasesCompositionSeries[102X 69.7-9 
  [2XMTX.BasesMaximalSubmodules[102X 69.7-5 
  [2XMTX.BasesMinimalSubmodules[102X 69.7-4 
  [2XMTX.BasesMinimalSupermodules[102X 69.7-8 
  [2XMTX.BasesSubmodules[102X 69.7-3 
  [2XMTX.BasisInOrbit[102X 69.11-4 
  [2XMTX.BasisModuleEndomorphisms[102X 69.9-2 
  [2XMTX.BasisModuleHomomorphisms[102X 69.9-1 
  [2XMTX.BasisRadical[102X 69.7-6 
  [2XMTX.BasisSocle[102X 69.7-7 
  [2XMTX.CollectedFactors[102X 69.7-11 
  [2XMTX.CompositionFactors[102X 69.7-10 
  [2XMTX.DegreeSplittingField[102X 69.5-3 
  [2XMTX.Dimension[102X 69.4-2 
  [2XMTX.Distinguish[102X 69.10-5 
  [2XMTX.Field[102X 69.4-3 
  [2XMTX.Generators[102X 69.4-1 
  [2XMTX.HomogeneousComponents[102X 69.6-3 
  [2XMTX.Homomorphism[102X 69.10-3 
  [2XMTX.Homomorphisms[102X 69.10-4 
  [2XMTX.Indecomposition[102X 69.6-2 
  [2XMTX.InducedAction[102X 69.8-5 
  [2XMTX.InducedActionFactorMatrix[102X 69.8-4 
  [2XMTX.InducedActionFactorModule[102X 69.8-3 
  [2XMTX.InducedActionMatrix[102X 69.8-4 
  [2XMTX.InducedActionMatrixNB[102X 69.8-4 
  [2XMTX.InducedActionSubmodule[102X 69.8-2 
  [2XMTX.InducedActionSubmoduleNB[102X 69.8-2 
  [2XMTX.InvariantBilinearForm[102X 69.11-1 
  [2XMTX.InvariantQuadraticForm[102X 69.11-3 
  [2XMTX.InvariantSesquilinearForm[102X 69.11-2 
  [2XMTX.IsAbsolutelyIrreducible[102X 69.5-2 
  [2XMTX.IsEquivalent[102X 69.10-1 
  [2XMTX.IsIndecomposable[102X 69.6-1 
  [2XMTX.IsIrreducible[102X 69.5-1 
  [2XMTX.IsomorphismIrred[102X 69.10-2 
  [2XMTX.IsomorphismModules[102X 69.9-3 
  [2XMTX.ModuleAutomorphisms[102X 69.9-4 
  [2XMTX.NormedBasisAndBaseChange[102X 69.8-1 
  [2XMTX.OrthogonalSign[102X 69.11-5 
  [2XMTX.ProperSubmoduleBasis[102X 69.7-2 
  [2XMTX.SubGModule[102X 69.7-1 
  [2XMTX.SubmoduleGModule[102X 69.7-1 
  multiplication 4.13 
      matrices 24.3 
      matrix and matrix list 24.3  24.3 
      matrix and scalar 24.3 
      matrix and vector 24.3 
      operation 31.12-1 
      scalar and matrix 24.3 
      scalar and matrix list 24.3  24.3 
      scalar and vector 23.2 
      vector and matrix 24.3 
      vector and matrix list 24.3 
      vector and scalar 23.2 
      vectors 23.2 
  [2XMultiplicationTable[102X, for a list of elements 35.3-5 
      for a magma 35.3-5 
  multiplicative order of an integer 15.3-1 
  [2XMultiplicativeNeutralElement[102X 35.4-10 
  [2XMultiplicativeZero[102X 35.4-11 
      for a partial perm 54.3-23 
  [2XMultiplicativeZeroOp[102X 31.10-4 
  multiplicity, of constituents of a group character 72.8-5 
  Multiplier 39.24-3 
  multisets 21.19 
  [2XMultRowVector[102X 23.4-3 
  Murnaghan components 72.11-4  72.11-5 
  [2XMutableBasis[102X 61.8-2 
  [2XMutableBasisOfClosureUnderAction[102X 62.9-11 
  [2XMutableBasisOfIdealInNonassociativeAlgebra[102X 62.9-13 
  [2XMutableBasisOfNonassociativeAlgebra[102X 62.9-12 
  [10XMutableIdentityMat[110X 77.4 
  [10XMutableNullMat[110X 77.4 
  [2XName[102X 12.8-2 
  [2XNameFunction[102X 5.1-1 
  [2XNameRNam[102X 29.7-1 
  [2XNamesFilter[102X 13.2-2 
  [2XNamesGVars[102X 4.9-9 
  [2XNamesLocalVariablesFunction[102X 5.1-3 
  [2XNamesOfComponents[102X 79.10-1 
  [2XNamesOfFusionSources[102X 73.3-5 
  namespace 4.6-1  4.9 
  [2XNamesSystemGVars[102X 4.9-10 
  [2XNamesUserGVars[102X 4.9-11 
  [2XNanosecondsSinceEpoch[102X 7.6-3 
  [2XNanosecondsSinceEpochInfo[102X 7.6-3 
  [2XNanoSleep[102X 7.6-5 
  [2XNaturalCharacter[102X, for a group 72.7-2 
      for a homomorphism 72.7-2 
  [2XNaturalHomomorphismByGenerators[102X 32.8-3 
  [2XNaturalHomomorphismByIdeal[102X 56.8-4 
      for an algebra and an ideal 62.10-7 
  [2XNaturalHomomorphismByNormalSubgroup[102X 39.18-1 
  [2XNaturalHomomorphismByNormalSubgroupNC[102X 39.18-1 
  [2XNaturalHomomorphismBySubAlgebraModule[102X 62.11-22 
  [2XNaturalHomomorphismBySubspace[102X 61.10-4 
  [2XNaturalHomomorphismOfLieAlgebraFromNilpotentGroup[102X 64.8-6 
  [2XNaturalLeqPartialPerm[102X 54.5-4 
  [2XNaturalPartialOrder[102X 54.7-5 
  [2XNearAdditiveGroup[102X 55.2-3 
  [2XNearAdditiveGroupByGenerators[102X 55.2-6 
  [2XNearAdditiveMagma[102X 55.2-1 
  [2XNearAdditiveMagmaByGenerators[102X 55.2-4 
  [2XNearAdditiveMagmaWithZero[102X 55.2-2 
  [2XNearAdditiveMagmaWithZeroByGenerators[102X 55.2-5 
  [2XNearlyCharacterTablesFamily[102X 71.4-3 
  needed package 76.11 
  negative number 4.13 
  [2XNegativeRoots[102X 64.6-8 
  [2XNegativeRootVectors[102X 64.6-10 
  [2XNestingDepthA[102X 21.12-4 
  [2XNestingDepthM[102X 21.12-5 
  [2XNewAttribute[102X 79.3-1 
  [10XNewAttribute[110X, example 80.5 
  [2XNewCategory[102X 79.1-1 
  [2XNewConstructor[102X 79.6-1 
  [2XNewDictionary[102X 28.2-1 
  [2XNewFamily[102X 79.7-1 
  [2XNewFilter[102X 79.4-1 
  [2XNewFloat[102X 19.2-1 
  [2XNewInfoClass[102X 7.4-1 
  newline 4.4 
  [2XNewmanInfinityCriterion[102X 47.16-2 
  [2XNewOperation[102X 79.5-1 
  [2XNewProperty[102X 79.3-2 
  [2XNewRepresentation[102X 79.2-1 
  [10XNewRepresentation[110X, example 80.6 
  [2XNewType[102X 79.8-1 
  [2XNextIterator[102X 30.8-5 
  [2XNextPrimeInt[102X 14.4-5 
  [2XNF[102X 60.1-2 
  [2XNiceAlgebraMonomorphism[102X 62.10-9 
  [2XNiceBasis[102X 61.11-4 
  [2XNiceBasisFiltersInfo[102X 61.12-2 
  [2XNiceFreeLeftModule[102X 61.11-1 
  [2XNiceFreeLeftModuleInfo[102X 61.11-3 
  [2XNiceMonomorphism[102X 40.5-2 
  [2XNiceMonomorphismAutomGroup[102X 40.8-2 
  [2XNiceObject[102X 40.5-3 
  [2XNiceVector[102X 61.11-2 
  [2XNilpotencyClassOfGroup[102X 39.15-4 
  [2XNilpotentQuotientOfFpLieAlgebra[102X 64.11-2 
  [2XNK[102X 18.4-5 
  [10XNOAUTO[110X 76.2-2 
  [2XNonabelianExteriorSquare[102X 39.24-5 
  [2XNonnegativeIntegers[102X 14.1-1 
  [2XNonnegIntScalarProducts[102X 73.5-15 
  [2XNonNilpotentElement[102X 64.9-6 
  [2XNorm[102X 58.3-4 
      for a class function 72.8-7 
      for floats 19.2-10 
  [10XNorm[110X, of character 72.8-7 
  [2XNormalBase[102X 58.3-7 
  [2XNormalClosure[102X 39.11-4 
  [2XNormalFormIntMat[102X 25.2-9 
  [2XNormalIntersection[102X 39.11-5 
  [2XNormalizedElementOfMagmaRingModuloRelations[102X 65.4-3 
  [2XNormalizedWhitespace[102X 27.7-18 
  normalizer 39.11 
  [2XNormalizer[102X, for a group and a group element 39.11-1 
      for two groups 39.11-1 
  [2XNormalizerInGLnZ[102X 44.6-7 
  [2XNormalizerInGLnZBravaisGroup[102X 44.6-14 
  [2XNormalizersTom[102X 70.9-4 
  [2XNormalizerTom[102X 70.9-4 
  [2XNormalizeWhitespace[102X 27.7-17 
  [2XNormalSeriesByPcgs[102X 45.11-18 
  [2XNormalSubgroupClasses[102X 71.23-3 
  [2XNormalSubgroupClassesInfo[102X 71.23-1 
  [2XNormalSubgroups[102X 39.19-9 
  [2XNormedRowVector[102X 23.2-1 
  [2XNormedRowVectors[102X 61.9-11 
  [10XNormedVectors[110X 77.4 
  [9Xnot[109X 20.4-3 
  [2XNrArrangements[102X 16.2-5 
  [2XNrBasisVectors[102X 61.8-3 
  [2XNrCombinations[102X 16.2-3 
  [2XNrComponentsOfPartialPerm[102X 54.3-19 
  [2XNrComponentsOfTransformation[102X 53.5-18 
  [2XNrConjugacyClasses[102X 39.10-5 
      for a character table 71.8-5 
  [2XNrConjugacyClassesGL[102X 50.3-1 
  [2XNrConjugacyClassesGU[102X 50.3-1 
  [2XNrConjugacyClassesPGL[102X 50.3-1 
  [2XNrConjugacyClassesPGU[102X 50.3-1 
  [2XNrConjugacyClassesPSL[102X 50.3-1 
  [2XNrConjugacyClassesPSU[102X 50.3-1 
  [2XNrConjugacyClassesSL[102X 50.3-1 
  [2XNrConjugacyClassesSLIsogeneous[102X 50.3-1 
  [2XNrConjugacyClassesSU[102X 50.3-1 
  [2XNrConjugacyClassesSUIsogeneous[102X 50.3-1 
  [2XNrDerangements[102X 16.2-15 
  [2XNrFixedPoints[102X, for a partial perm 54.3-10 
      for a partial perm coll 54.3-10 
  [2XNrInputsOfStraightLineProgram[102X 37.8-4 
  [2XNrMovedPoints[102X, for a list or collection of permutations 42.3-4 
      for a partial perm 54.3-11 
      for a partial perm coll 54.3-11 
      for a permutation 42.3-4 
      for a transformation 53.5-6 
      for a transformation coll 53.5-6 
  [2XNrOrderedPartitions[102X 16.2-22 
  [2XNrPartitions[102X 16.2-20 
  [2XNrPartitionsSet[102X 16.2-17 
  [2XNrPartitionTuples[102X 16.2-31 
  [2XNrPermutationsList[102X 16.2-13 
  [2XNrPolyhedralSubgroups[102X 71.12-6 
  [2XNrRestrictedPartitions[102X 16.2-26 
  [2XNrSubsTom[102X 70.7-2 
  [2XNrTuples[102X 16.2-11 
  [2XNrUnorderedTuples[102X 16.2-7 
  [2XNthRootsInGroup[102X 39.10-10 
  [2XNullAlgebra[102X 62.5-5 
  [2XNullMat[102X 24.5-2 
  [2XNullspaceIntMat[102X 25.1-1 
  [2XNullspaceMat[102X 24.7-4 
  [2XNullspaceMatDestructive[102X 24.7-5 
  [2XNullspaceModQ[102X 24.15-2 
  [2XNumber[102X 21.20-21 
  number, Bell 16.1-3 
      binomial 16.1-2 
      Stirling, of the first kind 16.1-5 
      Stirling, of the second kind 16.1-6 
  number field 60.2-2 
  number fields, Galois group 60.4 
  [2XNumberArgumentsFunction[102X 5.1-2 
  [2XNumberFFVector[102X 23.3-3 
  [2XNumberPerfectGroups[102X 50.6-4 
  [2XNumberPerfectLibraryGroups[102X 50.6-5 
  [2XNumberSmallRings[102X 56.9-2 
  [2XNumbersString[102X 27.7-23 
  [2XNumberSyllables[102X 37.5-1 
  [2XNumberTransformation[102X 53.2-6 
  numerator, of a rational 17.2-4 
  [2XNumeratorOfModuloPcgs[102X 45.9-3 
  [2XNumeratorOfRationalFunction[102X 66.4-2 
  [2XNumeratorRat[102X 17.2-4 
  [2XObjByExtRep[102X 79.16-1 
      for creating a UEALattice element 64.14-3 
  [2XObjectify[102X 79.9-1 
  [2XObjectifyWithAttributes[102X 79.9-2 
  obsolete 77. 
  [2XOCOneCocycles[102X 39.23-3 
  octal character codes 27.2 
  [2XOctaveAlgebra[102X 62.5-3 
  [9Xod[109X 4.20 
  [2XOldGeneratorsOfPresentation[102X 48.9-2 
  [2XOmega[102X 39.14-1 
      construct an orthogonal group 50.2-8 
  OmniGraffle 39.20-3 
  [2XONanScottType[102X 43.5-1 
  [2XOnBreak[102X 6.4-3 
  [2XOnBreakMessage[102X 6.4-4 
  [2XOne[102X 31.10-2 
      for a partial perm 54.3-22 
  one cohomology 39.23 
  [2XOneAttr[102X 31.10-2 
  [2XOneCoboundaries[102X 39.23-2 
  [2XOneCocycles[102X, for a group and a pcgs 39.23-1 
      for generators and a group 39.23-1 
      for generators and a pcgs 39.23-1 
      for two groups 39.23-1 
  [2XOneFactorBound[102X 66.12-4 
  [2XOneImmutable[102X 31.10-2 
  [10XOne[3XLibrary[103X[10XGroup[110X 50.5 
  [2XOneMutable[102X 31.10-2 
  [2XOneOfPcgs[102X 45.4-6 
  [2XOneOp[102X 31.10-2 
  [10XOnePrimitiveGroup[110X 50.5 
  [2XOneSameMutability[102X 31.10-2 
  [2XOneSM[102X 31.10-2 
  [10XOneTransitiveGroup[110X 50.5 
  [2XOnIndeterminates[102X, as a permutation action 41.2-13 
  [2XOnLeftInverse[102X 41.2-3 
  [2XOnLines[102X 41.2-12 
  [10XOnLines[110X, example 50.2-1 
  [10XOnlyNeeded[110X, option 76.11 
  [2XOnPairs[102X 41.2-6 
  [2XOnPoints[102X 41.2-1 
  [2XOnQuit[102X 8.1-4 
  [2XOnRight[102X 41.2-2 
  [2XOnSets[102X 41.2-4 
  [2XOnSetsDisjointSets[102X 41.2-8 
  [2XOnSetsSets[102X 41.2-7 
  [2XOnSetsTuples[102X 41.2-9 
  [2XOnSubspacesByCanonicalBasis[102X 41.2-15 
  [2XOnSubspacesByCanonicalBasisConcatenations[102X 41.2-15 
  [2XOnTuples[102X 41.2-5 
  [2XOnTuplesSets[102X 41.2-10 
  [2XOnTuplesTuples[102X 41.2-11 
  [22XO_p(G)[122X, see PCore 39.11-3 
  [10XOperation[110X 77.1 
  operation 78. 
  [2XOperationAlgebraHomomorphism[102X, action on a free left module 62.10-8 
      action w.r.t. a basis of the module 62.10-8 
  [10XOperationHomomorphism[110X 77.1 
  operations, for booleans 20.4 
  Operations for algebraic elements 67.2 
  operators 4.7 
      arithmetic 4.13 
      associativity 4.13 
      for cyclotomics 18.3 
      for lists 21.11 
      precedence 4.12 
  options 3. 
      command line, filenames 3.1 
      command line, internal 3.1 
      under UNIX 3.1 
  [9Xor[109X 20.4-1 
  [2XOrbit[102X 41.4-1 
  [2XOrbitFusions[102X 73.4-1 
  [2XOrbitishFO[102X 85.3-2 
  [2XOrbitLength[102X 41.4-4 
  [2XOrbitLengths[102X, for a group, a set of seeds, etc. 41.4-5 
      for an external set 41.4-5 
  [2XOrbitLengthsDomain[102X, for a group and a set of seeds 41.4-6 
      of an external set 41.4-6 
  [2XOrbitPerms[102X 43.2-1 
  [2XOrbitPowerMaps[102X 73.2-1 
  [10XOrbits[110X, as attributes for external sets 85.3 
  [2XOrbits[102X, attribute 41.4-2 
      operation 41.4-2 
  [2XOrbitsDomain[102X, for a group and an action domain 41.4-3 
      of an external set 41.4-3 
  [2XOrbitsishOperation[102X 85.3-1 
  [2XOrbitsPerms[102X 43.2-2 
  [2XOrbitStabChain[102X 43.10-6 
  [2XOrbitStabilizer[102X 41.5-1 
  [2XOrbitStabilizerAlgorithm[102X 41.5-3 
  [2XOrder[102X 31.10-10 
      for a class function 72.4-3 
  order, of a group 39.1 
      of a list, collection or domain 30.4-6 
      of the prime residue group 15.2-2 
  ordered partitions, internal representation 87.2-1 
  [2XOrderedPartitions[102X 16.2-21 
  ordering, booleans 20.3-2 
      of records 29.5 
  [2XOrderingByLessThanFunctionNC[102X 34.2-1 
  [2XOrderingByLessThanOrEqualFunctionNC[102X 34.2-2 
  [2XOrderingOfRewritingSystem[102X 38.1-3 
  [2XOrderingOnGenerators[102X 34.4-4 
  [2XOrderingsFamily[102X 34.1-2 
  [2XOrderMod[102X 15.3-1 
  [2XOrderOfRewritingSystem[102X 38.1-3 
  [2XOrdersClassRepresentatives[102X 71.9-1 
  [2XOrdersTom[102X 70.7-2 
  [2XOrdinal[102X 27.9-4 
  ordinary character 72.8-1 
  [2XOrdinaryCharacterTable[102X, for a character table 71.8-4 
      for a group 71.8-4 
  [2XOrthogonalComponents[102X 72.11-4 
  [2XOrthogonalEmbeddings[102X 25.6-1 
  [2XOrthogonalEmbeddingsSpecialDimension[102X 72.10-6 
  output, suppressing 6.1 
  [2XOutputLogTo[102X, for a filename 9.7-6 
      for streams 10.4-7 
      stop logging output 9.7-6 
  [2XOutputTextFile[102X 10.5-2 
  [2XOutputTextNone[102X 10.9-2 
  [2XOutputTextString[102X 10.7-2 
  [2XOutputTextUser[102X 10.6-2 
  overload 78.8 
  [22Xp[122X-group 39.15-19 
  package 76. 
  [2XPACKAGE_DEBUG[102X 76.2-5 
  [2XPACKAGE_ERROR[102X 76.2-5 
  [2XPACKAGE_INFO[102X 76.2-5 
  [2XPACKAGE_WARNING[102X 76.2-5 
  [10XPackageInfo.g[110X, for a GAP package 76.5 
  [2XPackageVariablesInfo[102X 76.3-14 
  [2XPadicCoefficients[102X 25.4-3 
  [2XPadicExtensionNumberFamily[102X 68.2-1 
  [2XPadicNumber[102X, for a p-adic extension family and a list 68.2-2 
      for a p-adic extension family and a rational 68.2-2 
      for a pure p-adic numbers family and a list 68.2-2 
      for pure padics 68.1-2 
  [2XPadicValuation[102X 56.5-10 
  [2XPager[102X 2.4-1 
  [2XPageSource[102X 5.1-7 
  [2XParametrized[102X 73.5-5 
  parametrized maps 73. 
  [2XParent[102X 31.7-1 
  [2XParentPcgs[102X 45.7-3 
  [2XParseRelators[102X 47.2-3 
  partial order 33.2-6 
  [2XPartialFactorization[102X 14.4-9 
  [2XPartialOrderByOrderingFunction[102X 33.4-6 
  [2XPartialOrderOfHasseDiagram[102X 33.2-11 
  [2XPartialPerm[102X, for a dense image 54.2-1 
      for a domain and image 54.2-1 
  [2XPartialPermFamily[102X 54.1-3 
  [2XPartialPermOp[102X 54.2-2 
  [2XPartialPermOpNC[102X 54.2-2 
  [2XPartitions[102X 16.2-18 
  partitions, improper, of an integer 16.2-21 
      ordered, of an integer 16.2-21 
      restricted, of an integer 16.2-25 
  [2XPartitionsGreatestEQ[102X 16.2-24 
  [2XPartitionsGreatestLE[102X 16.2-23 
  [2XPartitionsSet[102X 16.2-16 
  [2XPartitionTuples[102X 16.2-30 
  [2XPcElementByExponents[102X 45.5-6 
  [2XPcElementByExponentsNC[102X 45.5-6 
  [2XPCentralLieAlgebra[102X 64.8-5 
  [2XPCentralNormalSeriesByPcgsPGroup[102X 45.11-12 
  [2XPCentralSeries[102X 39.17-13 
  [2XPcGroupCode[102X 46.9-3 
  [2XPcGroupFpGroup[102X 46.4-1 
  [2XPcGroupWithPcgs[102X 46.5-1 
  [2XPcgs[102X 45.2-1 
  [2XPcgs_OrbitStabilizer[102X 45.15-2 
  [2XPcgsByPcSequence[102X 45.3-1 
  [2XPcgsByPcSequenceNC[102X 45.3-1 
  [2XPcgsCentralSeries[102X 45.11-6 
  [2XPcgsChiefSeries[102X 45.11-14 
  [2XPcgsElementaryAbelianSeries[102X, for a group 45.11-2 
      for a list of normal subgroups 45.11-2 
  [2XPcgsPCentralSeriesPGroup[102X 45.11-10 
  [2XPClassPGroup[102X 39.15-22 
  [2XPCore[102X 39.11-3 
  [2XPcSeries[102X 45.4-4 
  perfect groups 50.6 
  [2XPerfectGroup[102X, for a pair [ order, index ] 50.6-2 
      for group order (and index) 50.6-2 
  [2XPerfectIdentification[102X 50.6-3 
  [2XPerfectResiduum[102X 39.12-8 
  [2XPerform[102X 21.20-11 
  [2XPERM_INVERSE_THRESHOLD[102X 42.1-4 
  [2XPermanent[102X 16.4-1 
  [2XPermBounds[102X 72.14-3 
  [2XPermCharInfo[102X 72.13-1 
  [2XPermCharInfoRelative[102X 72.13-2 
  [2XPermChars[102X 72.14-1 
  [2XPermCharsTom[102X, from a character table 70.11-2 
      via fusion map 70.11-2 
  [2XPermComb[102X 72.14-4 
  [2XPermLeftQuoPartialPerm[102X 54.5-1 
  [2XPermLeftQuoPartialPermNC[102X 54.5-1 
  [2XPermLeftQuoTransformation[102X 53.4-1 
  [2XPermLeftQuoTransformationNC[102X 53.4-1 
  [2XPermList[102X 42.5-2 
  [2XPermListList[102X 21.20-12 
  [2XPermutation[102X, for a group, an action domain, etc. 41.9-1 
      for an external set 41.9-1 
  permutation character 73.7-2 
  permutation characters, possible 72.13 
  [2XPermutationCharacter[102X, for a group, an action domain, and a function 72.7-3 
      for two groups 72.7-3 
  [2XPermutationCycle[102X 41.9-2 
  [2XPermutationGModule[102X 69.2-1 
  [2XPermutationMat[102X 24.5-5 
  [2XPermutationOfImage[102X 53.3-3 
  [2XPermutationsFamily[102X 42.1-3 
  [2XPermutationsList[102X 16.2-12 
  [2XPermutationTom[102X 70.5-2 
  [2XPermuted[102X 21.20-18 
      as a permutation action 41.2-14 
      for a class function 72.4-2 
  [2XPGL[102X 50.2-11 
  [2XPGU[102X 50.2-13 
  [2XPhi[102X 15.2-2 
  point stabilizer 41.5 
  [2XPolynomialByExtRep[102X 66.22-2 
  [2XPolynomialByExtRepNC[102X 66.22-2 
  [2XPolynomialCoefficientsOfPolynomial[102X 66.6-2 
  [2XPolynomialDivisionAlgorithm[102X 66.17-13 
  [2XPolynomialModP[102X 66.11-2 
  [2XPolynomialReducedRemainder[102X 66.17-12 
  [2XPolynomialReduction[102X 66.17-11 
  [2XPolynomialRing[102X, for a ring and a list of indeterminate numbers 66.15-1 
      for a ring and a list of indeterminates 66.15-1 
      for a ring and a list of names (and an exclusion list) 66.15-1 
      for a ring and a rank (and an exclusion list) 66.15-1 
  [2XPOmega[102X 50.2-16 
  [2XPopOptions[102X 8.1-2 
  [2XPosition[102X 21.16-1 
  [2XPositionBound[102X 21.16-10 
  [2XPositionCanonical[102X 21.16-3 
  [10XPositionFirstComponent[110X 77.4 
  [2XPositionMaximum[102X 21.16-7 
  [2XPositionMinimum[102X 21.16-7 
  [2XPositionNonZero[102X 21.16-12 
  [2XPositionNot[102X 21.16-11 
  [2XPositionNthOccurrence[102X 21.16-4 
  [2XPositionProperty[102X 21.16-8 
  [2XPositions[102X 21.16-2 
  [2XPositionSet[102X 21.16-6 
  [2XPositionsOp[102X 21.16-2 
  [2XPositionSorted[102X 21.16-5 
  [10XPositionSortedOp[110X 21.16-5 
  [2XPositionsProperty[102X 21.16-9 
  [2XPositionStream[102X 10.3-7 
  [2XPositionSublist[102X 21.16-13 
  [2XPositionWord[102X 37.4-4 
  positive number 4.13 
  [2XPositiveIntegers[102X 14.1-1 
  [2XPositiveRoots[102X 64.6-7 
  [2XPositiveRootVectors[102X 64.6-9 
  possible permutation characters 72.13 
  [2XPossibleClassFusions[102X 73.3-6 
  [2XPossibleFusionsCharTableTom[102X 70.11-1 
  [2XPossiblePowerMaps[102X 73.1-2 
  power 4.13 
      matrix 24.3 
      meaning for class functions 72.4 
      of words 37.4 
  power set 16.2-1 
  Powerful [22Xp[122X-group 39.15-20 
  [2XPowerMap[102X 73.1-1 
  [2XPowerMapByComposition[102X 73.1-4 
  [2XPowerMapOp[102X 73.1-1 
  [2XPowerMapsAllowedBySymmetrizations[102X 73.6-6 
  [2XPowerMod[102X 56.7-9 
  [2XPowerModCoeffs[102X 23.7-5 
  [2XPowerModInt[102X 14.3-10 
  [2XPowerPartition[102X 16.2-29 
  [2XPowerSubalgebraSeries[102X 62.9-4 
  [2XPQuotient[102X 47.14-1 
  precedence 4.13 
  precedence test, for permutations 42.2-1 
  [2XPrecisionFloat[102X 19.2-7 
  Prefix 27.7-22 
  [2XPrefrattiniSubgroup[102X 39.12-7 
  [10XPrefrattiniSubgroup[110X, for groups with pcgs 45.16 
  [2XPreImage[102X, set of preimages of a collection under a general mapping 32.5-6 
      set of preimages of the range of a general mapping 32.5-6 
      unique preimage of an element under a general mapping 32.5-6 
  [2XPreImageElm[102X 32.5-3 
  [2XPreImagePartialPerm[102X 54.5-2 
  [2XPreImages[102X, set of preimages of a collection under a general mapping 32.5-7 
      set of preimages of an elm under a general mapping 32.5-7 
      set of preimages of the range of a general mapping 32.5-7 
  [2XPreImagesElm[102X 32.5-2 
  [2XPreImagesOfTransformation[102X 53.4-4 
  [2XPreImagesRange[102X 32.5-1 
  [2XPreImagesRepresentative[102X 32.5-4 
  [2XPreImagesSet[102X 32.5-5 
  preorder 33.2-5 
  [2XPresentationFpGroup[102X 48.1-1 
  [2XPresentationNormalClosure[102X 48.2-6 
  [2XPresentationNormalClosureRrs[102X 48.2-5 
  [2XPresentationSubgroup[102X 48.2-1 
  [2XPresentationSubgroupMtc[102X 48.2-4 
  [2XPresentationSubgroupRrs[102X, for a group and a coset table (and a string) 48.2-2 
      for two groups (and a string) 48.2-2 
  [2XPresentationViaCosetTable[102X 48.1-5 
  previous result 6.1 
  [2XPrevPrimeInt[102X 14.4-6 
  [2XPrimalityProof[102X 14.4-3 
  primary subgroup generators 48.10-1 
  [2XPrimaryGeneratorWords[102X 48.2-3 
  prime residue group 15.  15.2 
      exponent 15.2-3 
      generator 15.3-3  15.3-4 
      order 15.2-2 
  [2XPrimeBlocks[102X 71.11-1 
  [2XPrimeBlocksOp[102X 71.11-1 
  [2XPrimeDivisors[102X 14.4-8 
  [2XPrimeField[102X 58.2-4 
  [2XPrimePGroup[102X 39.15-21 
  [2XPrimePowersInt[102X 14.4-11 
  [2XPrimeResidues[102X 15.2-1 
  [2XPrimes[102X 14.4-1 
  primitive 41.10-7 
  primitive root modulo an integer 15.3-3 
  [2XPrimitiveElement[102X 58.2-3 
  [2XPrimitivePolynomial[102X 66.11-1 
  [2XPrimitiveRoot[102X 59.3-3 
  [2XPrimitiveRootMod[102X 15.3-3 
  [2XPrint[102X 6.3-4 
  [2XPrintAmbiguity[102X 73.5-14 
  [2XPrintArray[102X 24.5-10 
  [2XPrintCharacterTable[102X 71.13-5 
  [2XPrintCSV[102X 10.11-2 
  [2XPrintFactorsInt[102X 14.4-10 
  [2XPrintFormattingStatus[102X 10.4-8 
  [2XPrintObj[102X 6.3-5 
      for a character table 71.13-2 
      for a ffe 59.6-1 
      for a string 27.1-4 
      for a table of marks 70.4-2 
      for class functions 72.5-2 
  [2XPrintString[102X 27.7-5 
  [2XPrintTo[102X 9.7-3 
      for streams 10.4-4 
  [2XProbabilityShapes[102X 66.11-4 
  procedure call 4.16 
  procedure call with arguments 4.16 
  [2XProcess[102X 11.1-1 
  [2XPROD_GF2MAT_GF2MAT_ADVANCED[102X 24.16-2 
  [2XPROD_GF2MAT_GF2MAT_SIMPLE[102X 24.16-1 
  [2XProduct[102X 21.20-25 
  product, of words 37.4 
      rational functions 66.2 
  [2XProductCoeffs[102X 23.7-2 
  [2XProductOfStraightLinePrograms[102X 37.8-13 
  [2XProductSpace[102X 62.9-3 
  [2XProductX[102X 21.21-4 
  [2XProfileFunctions[102X 7.8-5 
  [2XProfileGlobalFunctions[102X 7.8-2 
  [2XProfileLineByLine[102X 7.8-14 
  [2XProfileMethods[102X 7.8-7 
  [2XProfileOperations[102X 7.8-3 
  [2XProfileOperationsAndMethods[102X 7.8-4 
  [2XProjectedInducedPcgs[102X 45.10-2 
  [2XProjectedPcElement[102X 45.10-1 
  [10XProjection[110X, example for direct products 49.1-1 
      example for semidirect products 49.2-1 
      example for subdirect products 49.3-1 
      example for wreath products 49.4-1 
  [2XProjection[102X, for a domain 32.2-12 
      for a domain and a positive integer 32.2-12 
      for group products 49.6-2 
      for two domains 32.2-12 
  [2XProjectionMap[102X 73.5-3 
  projections, find all 40.9-4 
  [2XProjectiveActionHomomorphismMatrixGroup[102X 44.3-2 
  [2XProjectiveActionOnFullSpace[102X 44.3-1 
  [2XProjectiveGeneralLinearGroup[102X 50.2-11 
  [2XProjectiveGeneralUnitaryGroup[102X 50.2-13 
  [2XProjectiveOmega[102X 50.2-16 
  [2XProjectiveOrder[102X 24.14-3 
  [2XProjectiveSpecialLinearGroup[102X 50.2-12 
  [2XProjectiveSpecialUnitaryGroup[102X 50.2-14 
  [2XProjectiveSymplecticGroup[102X 50.2-15 
  prompt 6.1 
      partial 6.1 
  [2XPRump[102X 39.12-12 
  [2XPseudoRandom[102X 30.7-2 
      for finitely presented groups 47.5-1 
  [2XPSL[102X 50.2-12 
  [2XPSp[102X 50.2-15 
  [2XPSP[102X 50.2-15 
  [2XPSU[102X 50.2-14 
  [2XPthPowerImage[102X, for basis and element 64.8-3 
      for element 64.8-3 
      for element and integer 64.8-3 
  [2XPthPowerImages[102X 64.8-2 
  [2XPurePadicNumberFamily[102X 68.1-1 
  [2XPushOptions[102X 8.1-1 
  [2XPValuation[102X 15.7-1 
  [2XQuadratic[102X 18.5-4 
  quadratic residue 15.4-1  15.4-2  15.4-3 
  [2XQuaternionAlgebra[102X 62.5-1 
  [2XQuaternionGroup[102X 50.1-7 
  [10XQUIET[110X 77.4 
  [2XQUIT[102X 6.7-1 
  [9XQUIT[109X, emergency quit 6.7-1 
  quit, in emergency 6.7 
  [2XQUIT_GAP[102X 6.7-3 
  [2XQUITTING[102X 6.7-5 
  [2XQuoInt[102X 14.3-1 
  [2XQuotient[102X 56.1-9 
  quotient, for finitely presented groups 47.2-1 
      matrices 24.3 
      matrix and matrix list 24.3 
      matrix and scalar 24.3 
      of free monoid 52.2-1 
      of free semigroup 52.2-1 
      of words 37.4 
      rational functions 66.2 
      scalar and matrix 24.3 
      scalar and matrix list 24.3 
      vector and matrix 24.3 
  [2XQuotientFromSCTable[102X 62.4-8 
  [2XQuotientMod[102X 56.7-8 
  [2XQuotientPolynomialsExtRep[102X 66.23-3 
  [2XQuotientRemainder[102X 56.6-5 
  [2XQuotientSemigroupCongruence[102X 51.7-3 
  [2XQuotientSemigroupHomomorphism[102X 51.7-3 
  [2XQuotientSemigroupPreimage[102X 51.7-3 
  [2XQuotRemLaurpols[102X 66.5-6 
  [22Xr_N[122X (irrational value) 18.4-2 
  [2XRadicalGroup[102X 39.12-9 
  [2XRadicalOfAlgebra[102X 62.9-16 
  [2XRandom[102X 30.7-1 
      for a list or collection 30.7-1 
      for integers 14.2-12 
      for lower and upper bound 30.7-1 
      for random source and list 14.7-2 
      for random source and two integers 14.7-2 
      for rationals 17.2-7 
  random seed 30.7-3 
  [2XRandomBinaryRelationOnPoints[102X 33.3-2 
  [2XRandomInvertibleMat[102X 24.6-2 
  [2XRandomIsomorphismTest[102X 46.10-1 
  [2XRandomList[102X 30.7-3 
  [2XRandomMat[102X 24.6-1 
  [2XRandomPartialPerm[102X, for a positive integer 54.2-7 
      for a set of positive
        integers 54.2-7 
      for domain and image 54.2-7 
  [2XRandomPrimitivePolynomial[102X 59.5-3 
  [2XRandomSource[102X 14.7-5 
  [2XRandomTransformation[102X 53.2-7 
  [2XRandomUnimodularMat[102X 24.6-3 
  range 21.22 
  [2XRange[102X, of a general mapping 32.3-7 
  [2XRankAction[102X, for a group, an action domain, etc. 41.10-3 
      for an external set 41.10-3 
  [2XRankFilter[102X 13.2-1 
  [2XRankMat[102X 24.7-1 
  [2XRankOfPartialPerm[102X 54.3-3 
  [2XRankOfPartialPermCollection[102X 54.3-3 
  [2XRankOfPartialPermSemigroup[102X 54.7-2 
  [2XRankOfTransformation[102X, for a transformation and a list 53.5-4 
      for a transformation and a positive integer 53.5-4 
  [2XRankPGroup[102X 39.15-23 
  [2XRat[102X 17.2-6 
      for floats 19.2-2 
      for strings 27.9-2 
  [2XRationalClass[102X 39.10-6 
  [2XRationalClasses[102X 39.10-7 
  [2XRationalFunctionByExtRep[102X 66.22-1 
  [2XRationalFunctionByExtRepNC[102X 66.22-1 
  [2XRationalFunctionByExtRepWithCancellation[102X 66.24-1 
  [2XRationalFunctionsFamily[102X 66.19-1 
  [2XRationalizedMat[102X 18.5-6 
  [2XRationals[102X 17.1-1 
  [2XRClassOfHClass[102X 51.8-5 
  [2XRead[102X 9.7-1 
      for streams 10.3-1 
  read eval print loop 6.1 
  [10Xread.g[110X, for a GAP package 76.5 
  [2XReadAll[102X 10.3-5 
  [2XReadAllLine[102X 10.8-3 
  [2XReadAsFunction[102X 9.7-2 
      for streams 10.3-2 
  [2XReadByte[102X 10.3-3 
  [2XReadCommandLineHistory[102X 6.9-3 
  [2XReadCSV[102X 10.11-1 
  [2XReadLine[102X 10.3-4 
  [10XReadlineInitLine[110X 6.9-1 
  [10XREADME[110X, for a GAP package 76.5 
  [2XReadPackage[102X 76.3-1 
  [10XReadPkg[110X 77.2 
  [2XRealClasses[102X 71.9-11 
  [2XRealizableBrauerCharacters[102X 72.15-4 
  [2XRealPart[102X 18.5-2 
  [2XRecNames[102X 29.1-2 
  record, component access 29.2 
      component assignment 29.3 
      component variable 29.2 
      component variable assignment 29.3 
  record assignment, operation 29.7-3 
  record boundness test, operation 29.7-3 
  record component, operation 29.7-3 
  record unbind, operation 29.7-3 
  recursion 4.23 
  [2XRedispatchOnCondition[102X 78.5-1 
  redisplay a help section 2.2 
  redisplay with next help viewer 2.2 
  [2XReduceCoeffs[102X 23.7-3 
  [2XReduceCoeffsMod[102X 23.7-4 
  [2XReducedAdditiveInverse[102X 38.2-1 
  [2XReducedCharacters[102X 72.10-2 
  [2XReducedClassFunctions[102X 72.10-1 
  [2XReducedComm[102X 38.2-1 
  [2XReducedConfluentRewritingSystem[102X 52.5-1 
  [2XReducedConjugate[102X 38.2-1 
  [2XReducedDifference[102X 38.2-1 
  [2XReducedForm[102X 38.1-4 
  [2XReducedGroebnerBasis[102X, for a list and a monomial ordering 66.18-2 
      for an ideal and a monomial ordering 66.18-2 
  [2XReducedInverse[102X 38.2-1 
  [2XReducedLeftQuotient[102X 38.2-1 
  [2XReducedOne[102X 38.2-1 
  [2XReducedPcElement[102X 45.5-10 
  [2XReducedPower[102X 38.2-1 
  [2XReducedProduct[102X 38.2-1 
  [2XReducedQuotient[102X 38.2-1 
  [2XReducedScalarProduct[102X 38.2-1 
  [2XReducedSum[102X 38.2-1 
  [2XReducedZero[102X 38.2-1 
  [2XReduceRules[102X 38.1-8 
  [2XReduceStabChain[102X 43.11-5 
  [2XRee[102X 50.1-13 
  [2XReeGroup[102X 50.1-13 
  [2XReesCongruenceOfSemigroupIdeal[102X 51.5-2 
  [2XReesMatrixSemigroup[102X 51.9-1 
  [2XReesMatrixSemigroupElement[102X 51.9-5 
  [2XReesMatrixSubsemigroup[102X 51.9-2 
  [2XReesZeroMatrixSemigroup[102X 51.9-1 
  [2XReesZeroMatrixSemigroupElement[102X 51.9-5 
  [2XReesZeroMatrixSubsemigroup[102X 51.9-2 
  [2XRefinedPcGroup[102X 46.4-9 
  [2XReflectionMat[102X 24.5-9 
  reflexive relation 33.2-1 
  [2XReflexiveClosureBinaryRelation[102X 33.4-1 
  regular 41.10-5 
  regular action 41.7-2 
  [2XRegularActionHomomorphism[102X 41.8-2 
  [2XRegularModule[102X 71.15-3 
  relations 32. 
  [2XRelationsOfFpMonoid[102X 52.4-5 
  [2XRelationsOfFpSemigroup[102X 52.4-5 
  [2XRelativeBasis[102X 61.5-4 
  [2XRelativeBasisNC[102X 61.5-4 
  [2XRelativeDiameter[102X 19.5-5 
  relatively prime 4.13 
  [2XRelativeOrderOfPcElement[102X 45.5-1 
  [2XRelativeOrders[102X 45.4-1 
  [10XRelativeOrders[110X, of a pcgs 45.4-1 
  [2XRelatorsOfFpGroup[102X 47.4-3 
  remainder, operation 31.12-1 
  remainder of a quotient 14.3-3 
  [2XRemInt[102X 14.3-3 
  [2XRemove[102X 21.4-3 
  remove, an element from a set 21.19-5 
  [2XRemoveCharacters[102X 27.7-19 
  [2XRemoveFile[102X 9.7-8 
  [2XRemoveOuterCoeffs[102X 23.5-4 
  [2XRemoveRelator[102X 48.5-4 
  [2XRemoveSet[102X 21.19-5 
  [2XRemoveStabChain[102X 43.11-6 
  [9Xrepeat[109X loop 4.19 
  [2XReplacedString[102X 27.7-16 
  representation, as a sum of two squares 15.7-2 
  [2XRepresentationsOfObject[102X 13.4-1 
  [2XRepresentative[102X 30.4-7 
  representative, of a list or collection 30.4-8 
  [2XRepresentativeAction[102X 41.6-1 
  [2XRepresentativeLinearOperation[102X 62.10-13 
  [10XRepresentativeOperation[110X 77.1 
  [2XRepresentativesContainedRightCosets[102X 39.9-2 
  [2XRepresentativesFusions[102X 73.4-2 
  [2XRepresentativeSmallest[102X 30.4-8 
  [2XRepresentativesMinimalBlocks[102X, for a group, an action domain, etc. 41.11-3 
      for an external set 41.11-3 
  [2XRepresentativesPerfectSubgroups[102X 39.20-9 
  [2XRepresentativesPowerMaps[102X 73.2-2 
  [2XRepresentativesSimpleSubgroups[102X 39.20-9 
  [2XRepresentativeTom[102X 70.10-4 
  [2XRepresentativeTomByGenerators[102X 70.10-4 
  [2XRepresentativeTomByGeneratorsNC[102X 70.10-4 
  [10XRequirePackage[110X 77.2 
  [2XReread[102X 9.7-10 
  [2XREREADING[102X 9.7-10 
  [2XRereadPackage[102X 76.3-1 
  [10XRereadPkg[110X 77.2 
  [2XReset[102X 14.7-3 
  [2XResetFilterObj[102X 79.4-3 
  [2XResetOptionsStack[102X 8.1-3 
  residue, quadratic 15.4-1  15.4-2  15.4-3 
  [2XRespectsAddition[102X 32.10-1 
  [2XRespectsAdditiveInverses[102X 32.10-2 
  [2XRespectsInverses[102X 32.9-3 
  [2XRespectsMultiplication[102X 32.9-1 
  [2XRespectsOne[102X 32.9-2 
  [2XRespectsScalarMultiplication[102X 32.11-1 
  [2XRespectsZero[102X 32.10-3 
  [2XRestrictedClassFunction[102X 72.9-1 
  [2XRestrictedClassFunctions[102X 72.9-2 
  [2XRestrictedInverseGeneralMapping[102X 32.2-4 
  [2XRestrictedLieAlgebraByStructureConstants[102X 64.2-2 
  [2XRestrictedMapping[102X 32.2-13 
  [2XRestrictedPartialPerm[102X 54.2-3 
  [2XRestrictedPartitions[102X 16.2-25 
  [2XRestrictedPerm[102X 42.5-4 
  [2XRestrictedPermNC[102X 42.5-4 
  [2XRestrictedTransformation[102X 53.3-2 
  [2XRestrictOutputsOfSLP[102X 37.8-9 
  [2XResultant[102X 66.6-7 
  [2XResultOfStraightLineProgram[102X 37.8-5 
  [9Xreturn[109X 6.4-2 
      no value 4.24 
      with value 4.24 
  return from break loop 6.4-2 
  [2XReturnFail[102X 5.4-3 
  [2XReturnFalse[102X 5.4-2 
  [2XReturnFirst[102X 5.4-5 
  [2XReturnNothing[102X 5.4-4 
  [2XReturnTrue[102X 5.4-1 
  [2XReversed[102X 21.20-7 
  [2XReverseNaturalPartialOrder[102X 54.7-5 
  [2XRewindStream[102X 10.3-8 
  [2XRewriteWord[102X 47.9-4 
  right cosets 39.7 
  [2XRightActingAlgebra[102X 62.11-12 
  [2XRightActingRingOfIdeal[102X 56.2-10 
  [2XRightAlgebraModule[102X 62.11-5 
  [2XRightAlgebraModuleByGenerators[102X 62.11-2 
  [2XRightCoset[102X 39.7-1 
  [2XRightCosets[102X 39.7-2 
  [2XRightCosetsNC[102X 39.7-2 
  [2XRightDerivations[102X 64.2-6 
  [2XRightIdeal[102X 56.2-1 
  [2XRightIdealByGenerators[102X 56.2-6 
  [2XRightIdealNC[102X 56.2-2 
  [2XRightModuleByHomomorphismToMatAlg[102X 62.11-18 
  [2XRightOne[102X, for a partial perm 54.3-21 
      for a transformation 53.5-22 
  [2XRightShiftRowVector[102X 23.5-2 
  [2XRightTransversal[102X 39.8-1 
  [2XRing[102X, for a collection 56.1-2 
      for ring elements 56.1-2 
  [2XRingByGenerators[102X 56.1-4 
  [2XRingByStructureConstants[102X 56.9-6 
  [2XRingGeneralMappingByImages[102X 56.8-1 
  [2XRingHomomorphismByImages[102X 56.8-2 
  [2XRingHomomorphismByImagesNC[102X 56.8-3 
  [2XRingWithOne[102X, for a collection 56.3-2 
      for ring elements 56.3-2 
  [2XRingWithOneByGenerators[102X 56.3-3 
  [2XRNamObj[102X, for a positive integer 29.7-2 
      for a string 29.7-2 
  root, of 1 modulo an integer 15.4-5 
      of an integer 14.2-9 
      of an integer modulo another 15.4-3 
      of an integer, smallest 14.2-10 
  [2XRootInt[102X 14.2-9 
  [2XRootMod[102X 15.4-3 
  [2XRootOfDefiningPolynomial[102X 58.2-8 
  roots of unity 18.1-1 
  [2XRootsMod[102X 15.4-4 
  [2XRootsOfPolynomial[102X 66.5-4 
  [2XRootsOfUPol[102X 66.5-5 
  [2XRootsUnityMod[102X 15.4-5 
  [2XRootSystem[102X 64.6-5 
  [2XRound[102X 19.2-10 
  [2XRoundCyc[102X 18.1-9 
  row spaces 61.9 
  [2XRows[102X 51.9-9 
  [2XRREF[102X 24.7-2 
  [2XRules[102X 38.1-2 
  [2XRuntime[102X 7.6-2 
  [2XRuntimes[102X 7.6-1 
  [22Xs_N[122X (irrational value) 18.4-3 
  [2XSameBlock[102X 71.11-2 
  save 3.3-1 
  [2XSaveCommandLineHistory[102X 6.9-3 
  [2XSaveOnExitFile[102X 6.7-6 
  [2XSaveWorkspace[102X 3.3-1 
  saving on exit 6.7 
  [2XScalarProduct[102X, for characters 72.8-5 
  Schreier 48.2 
  Schreier-Sims, random 43.7 
  Schur multiplier 39.24-3 
  [2XSchurCover[102X 39.24-2 
  [2XSchurCoverOfSymmetricGroup[102X 39.24-10 
  scope 4.8 
  [2XSec[102X 19.2-10 
  [2XSech[102X 19.2-10 
  [2XSecHMSM[102X 27.10-8 
  secondary subgroup generators 48.10-1 
  [2XSecondsDMYhms[102X 27.10-10 
  [2XSeekPositionStream[102X 10.3-9 
  [2XSemidirectProduct[102X, for a group of automorphisms and a group 49.2-1 
      for acting group, action, and a group 49.2-1 
  [2XSemiEchelonBasis[102X 61.9-8 
  [2XSemiEchelonBasisNC[102X 61.9-8 
  [2XSemiEchelonMat[102X 24.10-1 
  [2XSemiEchelonMatDestructive[102X 24.10-2 
  [2XSemiEchelonMats[102X 24.10-4 
  [2XSemiEchelonMatsDestructive[102X 24.10-5 
  [2XSemiEchelonMatTransformation[102X 24.10-3 
  semigroup 51.1-1 
  [2XSemigroup[102X, for a list 51.1-2 
      for various generators 51.1-2 
  [2XSemigroupByGenerators[102X 51.1-5 
  [2XSemigroupByMultiplicationTable[102X 51.1-11 
  [2XSemigroupIdealByGenerators[102X 51.5-1 
  [2XSemigroupOfRewritingSystem[102X 52.5-4 
  semiregular 41.10-4 
  [2XSemiSimpleType[102X 64.6-1 
  sequence, Bernoulli 16.1-4 
      Fibonacci 16.3-1 
      Lucas 16.3-2 
  [2XSet[102X 30.3-7 
  set difference, of collections 30.5-4 
  set stabilizer 41.5 
  [2XSetAssertionLevel[102X 7.5-1 
  [2XSetCommutator[102X 46.4-4 
  [2XSetConjugate[102X 46.4-3 
  [2XSetCrystGroupDefaultAction[102X 44.7-2 
  [2XSetCyclotomicsLimit[102X 18.6-1 
  [2XSetDefaultInfoOutput[102X 7.4-6 
  [2XSetElmWPObj[102X 86.2-1 
  [2XSetEntrySCTable[102X 62.4-4 
  [2XSetFilterObj[102X 79.4-2 
  [2XSetFloats[102X 19.2-4 
  [2XSetGasmanMessageStatus[102X 7.12-2 
  [2XSetHelpViewer[102X 2.3-1 
  [2XSetIndeterminateName[102X 66.1-4 
  [2XSetInfoHandler[102X 7.4-6 
  [2XSetInfoLevel[102X 7.4-3 
  [2XSetInfoOutput[102X 7.4-6 
  [2XSetName[102X 12.8-1 
  [2XSetNameObject[102X 6.3-7 
  [2XSetPackagePath[102X 76.2-3 
  [2XSetParent[102X 31.7-1 
  [2XSetPower[102X 46.4-5 
  [2XSetPrintFormattingStatus[102X 10.4-8 
  [2XSetRecursionTrapInterval[102X 7.11-1 
  [2XSetReducedMultiplication[102X 47.3-4 
  Sets 21. 
  sets 21.19 
  setter 13.6 
  [2XSetter[102X 13.6-2 
  [2XSetUserPreference[102X 3.2-3 
  [2XSetX[102X 21.21-2 
  [2XShallowCopy[102X 12.7-1 
  [10XShallowCopy[110X, for lists 21.7 
  [2XShiftedCoeffs[102X 23.7-6 
  [2XShiftedPadicNumber[102X 68.1-4 
  short vectors spanning a lattice 25.5-1  72.10-4 
  [2XShortestVectors[102X 25.6-2 
  [2XShortLexLeqPartialPerm[102X 54.5-5 
  [2XShortLexOrdering[102X 34.4-6 
  [2XShowAdditionTable[102X 55.4-2 
  [2XShowArgument[102X 7.1-2 
  [2XShowArguments[102X 7.1-1 
  [2XShowDetails[102X 7.1-3 
  [2XShowGcd[102X 56.7-5 
  [2XShowImpliedFilters[102X 13.2-3 
  [2XShowMethods[102X 7.1-4 
  [2XShowMultiplicationTable[102X 55.4-2 
  [2XShowOtherMethods[102X 7.1-5 
  [2XShowPackageVariables[102X 76.3-14 
  [10XShowPackageVariables[110X 76.10 
  [2XShowUserPreferences[102X 3.2-3 
  [2XShrinkAllocationPlist[102X 21.9-1 
  [2XShrinkAllocationString[102X 27.4-5 
  [2XShrinkRowVector[102X 23.5-3 
  [2XShuffle[102X 21.20-8 
  [2XSiftedPcElement[102X 45.5-8 
  [2XSiftedPermutation[102X 43.10-12 
  [2XSiftedVector[102X 61.9-12 
  [2XSigma[102X 15.5-1 
  [2XSigmaL[102X 50.2-10 
  sign, of an integer 14.2-7 
  [2XSignBit[102X 19.2-8 
  [2XSignFloat[102X 19.2-8 
  [2XSignInt[102X 14.2-7 
  [2XSignPartition[102X 16.2-27 
  [2XSignPerm[102X 42.4-1 
  [2XSimpleGroup[102X 39.15-13 
  [2XSimpleGroupsIterator[102X 39.15-14 
  [2XSimpleLieAlgebra[102X 64.2-7 
  [2XSimpleSystem[102X 64.6-11 
  [2XSimplifiedFpGroup[102X 48.1-6 
  [2XSimplifyPresentation[102X 48.6-2 
  [2XSimultaneousEigenvalues[102X 24.14-4 
  [2XSin[102X 19.2-10 
  [2XSinCos[102X 19.2-10 
  [2XSingleCollector[102X 46.4-2 
  singlequote character 27.2 
  singlequotes 27.1 
  [2XSinh[102X 19.2-10 
  [2XSIntChar[102X 27.8-3 
  [2XSize[102X 30.4-6 
      for a character table 71.8-5 
  [10XSize[110X, for groups with pcgs 45.16 
  size, of a list or collection 30.4-6 
  [2XSizeBlist[102X 22.2-3 
  [2XSizeConsiderFunction[102X 39.21-4 
  [2XSizeNumbersPerfectGroups[102X 50.6-6 
  [2XSizeOfFieldOfDefinition[102X 72.15-3 
  [2XSizesCentralisers[102X 71.9-2 
  [2XSizesCentralizers[102X 71.9-2 
  [2XSizesConjugacyClasses[102X 71.9-3 
  [2XSizeScreen[102X 6.12-1 
  [2XSizesPerfectGroups[102X 50.6-1 
  [2XSizeStabChain[102X 43.10-3 
  [2XSL[102X, for dimension and a field size 50.2-2 
      for dimension and a ring 50.2-2 
  [2XSleep[102X 7.6-5 
  [2XSlotUsagePattern[102X 37.8-14 
  smaller, associative words 37.3-2 
      elements of finitely presented groups 47.3-2 
      for pcwords 46.2-1 
      for transformations 53.4 
      nonassociative words 36.2-2 
      rational functions 66.3 
  smaller or equal 4.12 
  smaller test 4.12 
  [2XSmallerDegreePermutationRepresentation[102X 43.3-2 
  [2XSmallestGeneratorPerm[102X 42.2-3 
  [2XSmallestIdempotentPower[102X, for a partial perm 54.3-17 
      for a transformation 53.5-16 
  [2XSmallestImageOfMovedPoint[102X, for a partial permutation 54.3-14 
      for a partial permutation coll 54.3-14 
      for a transformation 53.5-9 
      for a transformation coll 53.5-9 
  [2XSmallestMovedPoint[102X, for a list or collection of permutations 42.3-1 
      for a partial perm 54.3-12 
      for a partial perm coll 54.3-12 
      for a permutation 42.3-1 
      for a transformation 53.5-7 
      for a transformation coll 53.5-7 
  [2XSmallestRootInt[102X 14.2-10 
  [2XSmallGeneratingSet[102X 39.22-4 
  [2XSmallRing[102X 56.9-1 
  [2XSmallSimpleGroup[102X 39.15-15 
  Smith normal form 77.3 
  [2XSmithNormalFormIntegerMat[102X 25.2-6 
  [2XSmithNormalFormIntegerMatTransforms[102X 25.2-7 
  [2XSMTX.AbsoluteIrreducibilityTest[102X 69.12-8 
  [2XSMTX.AlgEl[102X 69.13-2 
  [2XSMTX.AlgElCharPol[102X 69.13-4 
  [2XSMTX.AlgElCharPolFac[102X 69.13-5 
  [2XSMTX.AlgElMat[102X 69.13-3 
  [2XSMTX.AlgElNullspaceDimension[102X 69.13-7 
  [2XSMTX.AlgElNullspaceVec[102X 69.13-6 
  [2XSMTX.CentMat[102X 69.13-8 
  [2XSMTX.CentMatMinPoly[102X 69.13-9 
  [2XSMTX.CompleteBasis[102X 69.12-11 
  [2XSMTX.Getter[102X 69.12-6 
  [2XSMTX.GoodElementGModule[102X 69.12-2 
  [2XSMTX.IrreducibilityTest[102X 69.12-7 
  [2XSMTX.MatrixSum[102X 69.12-10 
  [2XSMTX.MinimalSubGModule[102X 69.12-9 
  [2XSMTX.MinimalSubGModules[102X 69.12-4 
  [2XSMTX.RandomIrreducibleSubGModule[102X 69.12-1 
  [2XSMTX.Setter[102X 69.12-5 
  [2XSMTX.SortHomGModule[102X 69.12-3 
  [2XSMTX.Subbasis[102X 69.13-1 
  [2XSO[102X 50.2-7 
  [2XSocle[102X 39.12-10 
  [2XSocleTypePrimitiveGroup[102X 43.5-2 
  [2XSolutionIntMat[102X 25.1-2 
  [2XSolutionMat[102X 24.7-6 
  [2XSolutionMatDestructive[102X 24.7-7 
  [2XSolutionNullspaceIntMat[102X 25.1-3 
  [2XSolvableQuotient[102X, for a f.p. group and a list of primes 47.14-5 
      for a f.p. group and a list of tuples 47.14-5 
      for a f.p. group and a size 47.14-5 
  [2XSort[102X 21.18-1 
  [2XSortBy[102X 21.18-1 
  Sorted Lists as Collections 30.3 
  [2XSortedCharacters[102X 71.21-2 
  [2XSortedCharacterTable[102X, relative to the table of a factor group 71.21-4 
      w.r.t. a normal subgroup 71.21-4 
      w.r.t. a series of normal subgroups 71.21-4 
  [2XSortedList[102X 30.3-6 
  [2XSortedSparseActionHomomorphism[102X 41.7-3 
  [2XSortedTom[102X 70.5-1 
  [2XSortex[102X 21.18-3 
  [2XSortingPerm[102X 21.18-4 
  [2XSortParallel[102X 21.18-2 
  [2XSource[102X 32.3-8 
  [2XSourceOfIsoclinicTable[102X 71.20-4 
  [2XSp[102X, for dimension and a ring 50.2-5 
  [2XSP[102X, for dimension and a ring 50.2-5 
      for dimension and field size 50.2-5 
  [2XSp[102X, for dimension and field size 50.2-5 
  space 4.4 
  [2XSparseActionHomomorphism[102X 41.7-3 
  [2XSparseCartanMatrix[102X 64.7-2 
  [2XSparseHashTable[102X 28.7-1 
  [2XSparseIntKey[102X 28.5-2 
  special character sequences 27.2 
  [2XSpecialLinearGroup[102X, for dimension and a field size 50.2-2 
      for dimension and a ring 50.2-2 
  [2XSpecialOrthogonalGroup[102X 50.2-7 
  [2XSpecialPcgs[102X, for a group 45.13-2 
      for a pcgs 45.13-2 
  [2XSpecialSemilinearGroup[102X 50.2-10 
  [2XSpecialUnitaryGroup[102X 50.2-4 
  [2XSplitCharacters[102X 71.17-7 
  [2XSplitExtension[102X 46.8-6 
      with specified homomorphism 46.8-10 
  [2XSplitString[102X 27.7-15 
  [2XSplittingField[102X 66.4-13 
  Spreadsheet 10.11 
  [2XSQ[102X, synonym of SolvableQuotient 47.14-5 
  [2XSqrt[102X 31.12-5 
  [2XSquare[102X 19.2-10 
  square root, of an integer 14.2-9 
  [2XSquareRoots[102X 35.4-12 
  [2XSSortedList[102X 30.3-7 
  [2XStabChain[102X, for a group (and a record) 43.8-1 
      for a group and a base 43.8-1 
  [2XStabChainBaseStrongGenerators[102X 43.8-4 
  [2XStabChainImmutable[102X 43.8-1 
  [2XStabChainMutable[102X, for a group 43.8-1 
      for a homomorphism 43.8-1 
  [2XStabChainOp[102X 43.8-1 
  [2XStabChainOptions[102X 43.8-2 
  [2XStabilizer[102X 41.5-2 
  [2XStabilizerOfExternalSet[102X 41.12-10 
  [2XStabilizerPcgs[102X 45.15-1 
  [2XStableSort[102X 21.18-1 
  [2XStableSortBy[102X 21.18-1 
  [2XStableSortParallel[102X 21.18-2 
  Stack trace 6.4-5 
  [2XStandardAssociate[102X 56.5-5 
  [2XStandardAssociateUnit[102X 56.5-6 
  [2XStandardizeTable[102X 47.7-2 
  [2XStandardWreathProduct[102X 49.4-1 
  [2XStarCyc[102X 18.5-3 
  [2XSTART_TEST[102X 7.10-1 
  [2XStartlineFunc[102X 5.1-5 
  [2XStartsWith[102X 27.7-22 
  [2XState[102X 14.7-3 
  Stirling number of the first kind 16.1-5 
  Stirling number of the second kind 16.1-6 
  [2XStirling1[102X 16.1-5 
  [2XStirling2[102X 16.1-6 
  [2XSTOP_TEST[102X 7.10-1 
  [2XStoredGroebnerBasis[102X 66.18-3 
  [2XStoreFusion[102X 73.3-4 
  [2XStraightLineProgElm[102X 37.9-2 
  [2XStraightLineProgGens[102X 37.9-3 
  [2XStraightLineProgram[102X, for a list of lines (and the number of generators) 37.8-2 
      for a string and a list of generators names 37.8-2 
  [2XStraightLineProgramNC[102X, for a list of lines (and the number of generators) 37.8-2 
      for a string and a list of generators names 37.8-2 
  [2XStraightLineProgramsTom[102X 70.10-2 
  [2XStreamsFamily[102X 10.1-9 
  [2XStretchImportantSLPElement[102X 37.9-5 
  strictly sorted list 21.17-4 
  [2XString[102X 27.7-6 
      for a cyclotomic 18.1-6 
  [2XStringDate[102X 27.10-6 
  [2XStringFactorizationWord[102X 47.2-4 
  [2XStringNumbers[102X 27.7-24 
  [2XStringOfMemoryAmount[102X 27.7-25 
  [2XStringOfResultOfStraightLineProgram[102X 37.8-6 
  [2XStringPP[102X 27.7-9 
  strings, equality of 27.6-1 
      inequality of 27.6-1 
      lexicographic ordering of 27.6-2 
  [2XStringTime[102X 27.10-9 
  [2XStripLineBreakCharacters[102X 27.7-7 
  [2XStrongGeneratorsStabChain[102X 43.10-4 
  [2XStronglyConnectedComponents[102X 33.4-5 
  [3XStruct[103X 31.3 
  [10X[3XStruct[103X[10XByGenerators[110X 31.3 
  [2XStructuralCopy[102X 12.7-2 
  [10XStructuralCopy[110X, for lists 21.7 
  structure constant 71.12-7  71.12-8  71.12-9 
  [2XStructureConstantsTable[102X 62.4-2 
  [2XStructureDescription[102X 39.6-1 
  [10X[3XStruct[103X[10XWithGenerators[110X 31.3 
  [2XSU[102X 50.2-4 
  [2XSubadditiveGroup[102X 55.2-9 
  [2XSubadditiveGroupNC[102X 55.2-9 
  [2XSubadditiveMagma[102X 55.2-7 
  [2XSubadditiveMagmaNC[102X 55.2-7 
  [2XSubadditiveMagmaWithZero[102X 55.2-8 
  [2XSubadditiveMagmaWithZeroNC[102X 55.2-8 
  [2XSubalgebra[102X 62.6-1 
  [2XSubAlgebraModule[102X 62.11-16 
  [2XSubalgebraNC[102X 62.6-2 
  [2XSubalgebraWithOne[102X 62.6-3 
  [2XSubalgebraWithOneNC[102X 62.6-4 
  [2XSubdirectProduct[102X 49.3-1 
  [2XSubdirectProducts[102X 49.3-2 
  Subdomains 31.8 
  [2XSubfield[102X 58.2-1 
  [2XSubfieldNC[102X 58.2-1 
  [2XSubfields[102X 58.2-10 
  [2XSubgroup[102X 39.3-1 
      for a group 39.3-1 
  subgroup fusions 73.3 
  subgroup generators tree 48.10-1 
  [2XSubgroupByPcgs[102X 45.7-9 
  [2XSubgroupByProperty[102X 39.3-11 
  [2XSubgroupNC[102X 39.3-1 
  [2XSubgroupOfWholeGroupByCosetTable[102X 47.8-2 
  [2XSubgroupOfWholeGroupByQuotientSubgroup[102X 47.13-1 
  [2XSubgroupProperty[102X 43.12-1 
  subgroups, polyhedral 71.12-6 
  [2XSubgroupShell[102X 39.3-12 
  [2XSubgroupsSolvableGroup[102X 39.21-3 
  sublist 21.3 
      access 21.3 
      assignment 21.4 
      operation 21.3 
  sublist assignment, operation 21.4 
  [2XSubmagma[102X 35.2-7 
  [2XSubmagmaNC[102X 35.2-7 
  [2XSubmagmaWithInverses[102X 35.2-9 
  [2XSubmagmaWithInversesNC[102X 35.2-9 
  [2XSubmagmaWithOne[102X 35.2-8 
  [2XSubmagmaWithOneNC[102X 35.2-8 
  [2XSubmodule[102X 57.2-1 
  [2XSubmoduleNC[102X 57.2-2 
  [2XSubmonoid[102X 51.2-3 
  [2XSubmonoidNC[102X 51.2-3 
  [2XSubnearAdditiveGroup[102X 55.2-9 
  [2XSubnearAdditiveGroupNC[102X 55.2-9 
  [2XSubnearAdditiveMagma[102X 55.2-7 
  [2XSubnearAdditiveMagmaNC[102X 55.2-7 
  [2XSubnearAdditiveMagmaWithZero[102X 55.2-8 
  [2XSubnearAdditiveMagmaWithZeroNC[102X 55.2-8 
  [2XSubnormalSeries[102X 39.17-4 
  [2XSubring[102X 56.1-7 
  [2XSubringNC[102X 56.1-7 
  [2XSubrings[102X 56.9-3 
  [2XSubringWithOne[102X 56.3-5 
  [2XSubringWithOneNC[102X 56.3-5 
  [2XSubsemigroup[102X 51.1-3 
  [2XSubsemigroupNC[102X 51.1-3 
  subset test, for collections 30.5-1 
  subsets 16.2-1 
  [2XSubspace[102X 61.2-2 
  [2XSubspaceNC[102X 61.2-2 
  [2XSubspaces[102X 61.4-1 
  [2XSubstitutedWord[102X, replace a subword by a given word 37.4-5 
      replace an interval by a given word 37.4-5 
  [2XSubsTom[102X 70.7-1 
  [10XSub[3Xstruct[103X[10X[110X 31.8 
  [10XSub[3Xstruct[103X[10XNC[110X 31.8 
  [2XSubSyllables[102X 37.5-4 
  subtract, a set from another 21.19-8 
  [2XSubtractBlist[102X 22.4-4 
  subtraction 4.13 
      matrices 24.3 
      matrix and scalar 24.3 
      rational functions 66.2 
      scalar and matrix 24.3 
      scalar and matrix list 24.3  24.3 
      scalar and vector 23.2 
      vector and scalar 23.2 
      vectors 23.2 
  [2XSubtractSet[102X 21.19-8 
  [2XSubword[102X 37.4-3 
  [2XSuccessors[102X 33.2-9 
  Suffix 27.7-22 
  suggested package 76.11 
  [2XSum[102X 21.20-26 
  [2XSumFactorizationFunctionPcgs[102X 45.12-1 
  [2XSumIntersectionMat[102X 24.11-4 
  [2XSumX[102X 21.21-3 
  [2XSup[102X 19.5-1 
  [2XSupersolvableResiduum[102X 39.12-11 
  support, email address 1.5 
  [2XSupportedCharacterTableInfo[102X 71.3-4 
  [2XSurjectiveActionHomomorphismAttr[102X 41.12-17 
  [2XSuzukiGroup[102X 50.1-12 
  [2XSylowComplement[102X 39.13-2 
  [2XSylowSubgroup[102X 39.13-1 
  [2XSylowSystem[102X 39.13-4 
  symmetric group, power map 16.2-29 
  symmetric power 72.11-2 
  symmetric relation 33.2-2 
  [2XSymmetricClosureBinaryRelation[102X 33.4-2 
  [2XSymmetricGroup[102X, for a degree 50.1-10 
      for a domain 50.1-10 
  [2XSymmetricInverseMonoid[102X 54.7-3 
  [2XSymmetricInverseSemigroup[102X 54.7-3 
  [2XSymmetricParentGroup[102X 43.4-4 
  [2XSymmetricParts[102X 72.11-2 
  [2XSymmetricPowerOfAlgebraModule[102X 64.15-3 
  [2XSymmetrizations[102X 72.11-1 
  symmetrizations, orthogonal 72.11-4 
      symplectic 72.11-5 
  [2XSymplecticComponents[102X 72.11-5 
  [2XSymplecticGroup[102X, for dimension and a ring 50.2-5 
      for dimension and field size 50.2-5 
  syntax errors 6.1 
  [10Xsysinfo.gap[110X 76.14-1 
  system getter 13.5 
  system setter 13.5 
  [2XSz[102X 50.1-12 
  [22Xt_N[122X (irrational value) 18.4-3 
  table automorphisms 73.4-2  73.7-3 
  table of chapters for help books 2.2 
  table of sections for help books 2.2 
  [2XTableAutomorphisms[102X 71.22-2 
  [2XTableOfMarks[102X, for a group 70.3-1 
      for a matrix 70.3-1 
      for a string 70.3-1 
  [2XTableOfMarksByLattice[102X 70.3-2 
  [2XTableOfMarksComponents[102X 70.6-4 
  [2XTableOfMarksCyclic[102X 70.12-1 
  [2XTableOfMarksDihedral[102X 70.12-2 
  [2XTableOfMarksFamily[102X 70.6-3 
  [2XTableOfMarksFrobenius[102X 70.12-3 
  tables 71.  71.3 
  tabulator 4.4 
  [2XTan[102X 19.2-10 
  [2XTanh[102X 19.2-10 
  [2XTau[102X 15.5-2 
  [10XTCENUM[110X 47.6-5 
  [2XTeachingMode[102X 6.13-1 
  [2XTemporaryGlobalVarName[102X 4.9-12 
  [2XTensored[102X 72.8-20 
  [2XTensorProductGModule[102X 69.2-2 
  [2XTensorProductOfAlgebraModules[102X, for a list of algebra modules 64.15-1 
      for two algebra modules 64.15-1 
  [2XTest[102X 7.10-2 
  test, for a primitive root 15.3-4 
      for a rational 17.2-1 
      for records 29.1-1 
      for set equality 21.19-2 
  [2XTestConsistencyMaps[102X 73.5-12 
  [2XTestDirectory[102X 7.10-3 
  tester 13.6 
  [2XTester[102X 13.6-1 
  [2XTestHomogeneous[102X 75.3-1 
  [2XTestInducedFromNormalSubgroup[102X 75.3-4 
  [2XTestJacobi[102X 62.4-6 
  [2XTestMonomial[102X, for a character 75.4-1 
      for a character and a Boolean 75.4-1 
      for a group 75.4-1 
      for a group and a Boolean 75.4-1 
  [2XTestMonomialQuick[102X, for a character 75.4-4 
      for a group 75.4-4 
  [2XTestMonomialUseLattice[102X 75.4-2 
  [2XTestPackage[102X 76.3-3 
  [2XTestPackageAvailability[102X 76.3-2 
  [2XTestPerm1[102X 72.14-2 
  [2XTestPerm2[102X 72.14-2 
  [2XTestPerm3[102X 72.14-2 
  [2XTestPerm4[102X 72.14-2 
  [2XTestPerm5[102X 72.14-2 
  [2XTestQuasiPrimitive[102X 75.3-3 
  [2XTestRelativelySM[102X, for a character 75.4-6 
      for a character and a normal subgroup 75.4-6 
      for a group 75.4-6 
      for a group and a normal subgroup 75.4-6 
  [2XTestSubnormallyMonomial[102X, for a character 75.4-5 
      for a group 75.4-5 
  [9Xthen[109X 4.17 
  [2XTietzeWordAbstractWord[102X 48.3-1 
  [10Xtime[110X 6.1 
  [2Xtime[102X 7.6-4 
  [2XTotalMemoryAllocated[102X 7.7-1 
  [2XTrace[102X, for a field element 58.3-5 
      for a matrix 58.3-5 
      of a matrix 24.4-3 
  [2XTraceAllMethods[102X 7.3-2 
  [2XTracedCosetFpGroup[102X 47.6-2 
  [2XTraceImmediateMethods[102X 7.3-5 
  [2XTraceMat[102X 24.4-3 
  [2XTraceMethods[102X, for a list of operations 7.3-1 
      for operations 7.3-1 
  [2XTracePolynomial[102X 58.3-3 
  [2XTransferDiagram[102X 73.5-11 
  [2XTransformation[102X, for a list and function 53.2-1 
      for a source and destination 53.2-2 
      for an image list 53.2-1 
  [2XTransformationByImageAndKernel[102X, for an image and kernel 53.2-3 
  [2XTransformationFamily[102X 53.1-3 
  [2XTransformationList[102X, for an image list 53.2-1 
  [2XTransformationListList[102X, for a source and destination 53.2-2 
  [2XTransformationNumber[102X 53.2-6 
  [2XTransformationOp[102X 53.2-5 
  [2XTransformationOpNC[102X 53.2-5 
  [2XTransformingPermutations[102X 71.22-3 
  [2XTransformingPermutationsCharacterTables[102X 71.22-4 
  transitive 41.10-1 
  transitive relation 33.2-3 
  [2XTransitiveClosureBinaryRelation[102X 33.4-3 
  [2XTransitivity[102X, for a character 72.8-16 
      for a group and an action domain 41.10-2 
      for an external set 41.10-2 
  [2XTranslatorSubalgebra[102X 62.11-24 
  transporter 41.6 
  [2XTransposedMat[102X 24.5-6 
  [2XTransposedMatAttr[102X 24.5-6 
  [2XTransposedMatDestructive[102X 24.5-7 
  [2XTransposedMatImmutable[102X 24.5-6 
  [2XTransposedMatMutable[102X 24.5-6 
  [2XTransposedMatOp[102X 24.5-6 
  [2XTransposedMatrixGroup[102X 44.2-4 
  [2XTriangulizedIntegerMat[102X 25.2-1 
  [2XTriangulizedIntegerMatTransform[102X 25.2-2 
  [2XTriangulizedMat[102X 24.7-2 
  [2XTriangulizedNullspaceMat[102X 24.7-4 
  [2XTriangulizedNullspaceMatDestructive[102X 24.7-5 
  [2XTriangulizeIntegerMat[102X 25.2-3 
  [2XTriangulizeMat[102X 24.7-3 
  [2XTrimPartialPerm[102X 54.5-6 
  [2XTrimTransformation[102X 53.5-23 
  [2XTrivialCharacter[102X, for a character table 72.7-1 
      for a group 72.7-1 
  [2XTrivialGroup[102X 50.1-1 
  [2XTrivialIterator[102X 30.8-7 
  [2XTrivialSubalgebra[102X 62.6-5 
  [2XTrivialSubgroup[102X 39.12-1 
  [2XTrivialSubmagmaWithOne[102X 35.4-13 
  [2XTrivialSubmodule[102X 57.2-4 
  [2XTrivialSubmonoid[102X 51.2-8 
  [2XTrivialSubnearAdditiveMagmaWithZero[102X 55.3-6 
  [2XTrivialSubspace[102X 61.3-2 
  [2XTrunc[102X 19.2-10 
  [2XTryCosetTableInWholeGroup[102X 47.8-1 
  [2XTryGcdCancelExtRepPolynomials[102X 66.24-2 
  [2XTryNextMethod[102X 78.4-1 
  tuple stabilizer 41.5 
  [2XTuples[102X 16.2-8 
  [2XTwoClosure[102X 43.12-3 
  [2XTwoCoboundaries[102X 46.8-1 
  [2XTwoCocycles[102X 46.8-2 
  [2XTwoCohomology[102X 46.8-3 
  [2XTwoSidedIdeal[102X 56.2-1 
  [2XTwoSidedIdealByGenerators[102X 56.2-4 
  [2XTwoSidedIdealNC[102X 56.2-2 
  [2XTwoSquares[102X 15.7-2 
  type, boolean 20. 
      cyclotomic 18. 
      records 29. 
      strings 27.1 
  [2XTypeObj[102X 13.9-1 
  [2XTypeOfDefaultGeneralMapping[102X 32.14-7 
  [2XTypeOfOperation[102X 79.18-2 
  [2XTzEliminate[102X, for a presentation (and a generator) 48.7-1 
      for a presentation (and an integer) 48.7-1 
  [2XTzFindCyclicJoins[102X 48.7-4 
  [2XTzGo[102X 48.6-1 
  [2XTzGoGo[102X 48.6-3 
  [2XTzImagesOldGens[102X 48.9-3 
  [2XTzInitGeneratorImages[102X 48.9-1 
  [2XTzNewGenerator[102X 48.5-2 
  [2XTzOptions[102X 48.11-1 
  [2XTzPreImagesNewGens[102X 48.9-4 
  [2XTzPrint[102X 48.4-6 
  [2XTzPrintGeneratorImages[102X 48.9-5 
  [2XTzPrintGenerators[102X 48.4-1 
  [2XTzPrintLengths[102X 48.4-3 
  [2XTzPrintOptions[102X 48.11-2 
  [2XTzPrintPairs[102X 48.4-7 
  [2XTzPrintPresentation[102X 48.4-5 
  [2XTzPrintRelators[102X 48.4-2 
  [2XTzPrintStatus[102X 48.4-4 
  [2XTzSearch[102X 48.7-2 
  [2XTzSearchEqual[102X 48.7-3 
  [2XTzSort[102X 48.1-2 
  [2XTzSubstitute[102X, for a presentation (and an integer and 0/1/2) 48.8-1 
      for a presentation and a word 48.8-1 
  [2XTzSubstituteCyclicJoins[102X 48.8-2 
  [22Xu_N[122X (irrational value) 18.4-3 
  [2XUglyVector[102X 61.11-2 
  [2XUnbind[102X, unbind a list entry 21.5-3 
      unbind a record component 29.6-2 
      unbind a variable 4.8-2 
  [2XUnbind\.[102X 29.7-3 
  [2XUnbind\[\][102X 21.2-1 
  [2XUnbindElmWPObj[102X 86.2-1 
  [2XUnbindGlobal[102X 4.9-7 
  [2XUnbindInfoOutput[102X 7.4-6 
  [2XUncoverageLineByLine[102X 7.8-17 
  [2XUnderlyingCharacteristic[102X, for a character 71.9-5 
      for a character table 71.9-5 
  [2XUnderlyingCharacterTable[102X 72.2-1 
  [2XUnderlyingElement[102X, fp group elements 47.4-4 
      of an element in a fp semigroup or monoid 52.4-1 
  [2XUnderlyingExternalSet[102X 41.12-16 
  [2XUnderlyingFamily[102X 64.1-4 
  [2XUnderlyingGeneralMapping[102X 32.3-10 
  [2XUnderlyingGroup[102X, for character tables 71.6-1 
      for tables of marks 70.7-7 
  [2XUnderlyingInjectionZeroMagma[102X 35.2-14 
  [2XUnderlyingLeftModule[102X 61.6-2 
  [2XUnderlyingLieAlgebra[102X 64.6-6 
  [2XUnderlyingMagma[102X 65.1-6 
  [2XUnderlyingRelation[102X 32.3-9 
  [2XUnderlyingRingElement[102X 64.1-5 
  [2XUnderlyingSemigroup[102X, for a Rees 0-matrix semigroup 51.9-10 
      for a Rees matrix semigroup 51.9-10 
  [2XUnInstallCharReadHookFunc[102X 10.10-2 
  [2XUnion[102X, for a list 30.5-3 
      for various collections 30.5-3 
  union, of collections 30.5-3 
      of sets 21.19-6 
  [2XUnion2[102X 30.5-3 
  [2XUnionBlist[102X, for a list 22.3-1 
      for various boolean lists 22.3-1 
  [2XUnique[102X 21.20-4 
  [2XUniteBlist[102X 22.4-1 
  [2XUniteBlistList[102X 22.4-2 
  [2XUniteSet[102X 21.19-6 
  [2XUnits[102X 56.5-2 
  [2XUnivariatenessTestRationalFunction[102X 66.5-7 
  [2XUnivariatePolynomial[102X 66.5-1 
  [2XUnivariatePolynomialByCoefficients[102X 66.5-2 
  [2XUnivariatePolynomialRing[102X, for a ring (and a name and an exclusion list) 66.16-1 
      for a ring (and an indeterminate number) 66.16-1 
  [2XUnivariateRationalFunctionByCoefficients[102X 66.14-1 
  [2XUniversalEnvelopingAlgebra[102X 64.10-1 
  UNIX, features 3.1 
      options 3.1 
  [2XUNIXSelect[102X 10.2-3 
  [2XUnknown[102X 74.1-1 
  [2XUnorderedTuples[102X 16.2-6 
  [2XUnprofileFunctions[102X 7.8-6 
  [2XUnprofileLineByLine[102X 7.8-16 
  [2XUnprofileMethods[102X 7.8-8 
  [9Xuntil[109X 4.19 
  [2XUntraceAllMethods[102X 7.3-4 
  [2XUntraceImmediateMethods[102X 7.3-5 
  [2XUntraceMethods[102X, for a list of operations 7.3-3 
      for operations 7.3-3 
  [2XUpdateMap[102X 73.5-7 
  [2XUpEnv[102X 6.5-1 
  [2XUppercaseChar[102X 27.7-14 
  [2XUppercaseString[102X 27.7-13 
  [2XUpperCentralSeriesOfGroup[102X 39.17-12 
  [2XUpperSubdiagonal[102X 24.12-2 
  [2XUseBasis[102X 57.3-5 
  [2XUseFactorRelation[102X 31.13-2 
  [2XUseIsomorphismRelation[102X 31.13-3 
  [2XUserHomeExpand[102X 9.7-9 
  [2XUserPreference[102X 3.2-3 
  [2XUseSubsetRelation[102X 31.13-1 
  utilities for editing GAP files 6.11 
  [22Xv_N[122X (irrational value) 18.4-3 
  [2XValidatePackageInfo[102X 76.3-13 
  [10XValidatePackageInfo[110X 76.9 
  [2XValuation[102X 68.1-3 
  [2XValue[102X, for a univariate rat. function, a value (and a one) 66.7-1 
      for rat. function, a list of indeterminates, a value (and a one) 66.7-1 
  [2XValueCochain[102X 64.12-4 
  [2XValueGlobal[102X 4.9-5 
  [2XValueMolienSeries[102X 72.12-3 
  [2XValueOption[102X 8.1-5 
  [2XValuePol[102X 23.7-1 
  [2XValuesOfClassFunction[102X 72.2-2 
  [2XVectorSpace[102X 61.2-1 
  [2XVectorSpaceByPcgsOfElementaryAbelianGroup[102X 45.14-1 
  version number, for a GAP package 76.17 
  [10Xvi[110X 6.11 
  [2XView[102X 6.3-3 
  [2XViewObj[102X 6.3-5 
      for a character table 71.13-1 
      for a ffe 59.6-1 
      for a string 27.1-4 
      for a table of marks 70.4-1 
      for class functions 72.5-1 
  [2XViewString[102X 27.7-3 
  [10Xvim[110X 6.11 
  virtual character 72.8-2 
  virtual characters 72. 
  [2XVirtualCharacter[102X, for a character table and a list 72.6-2 
      for a group and a list 72.6-2 
  [22Xw_N[122X (irrational value) 18.4-3 
  [2XWeakPointerObj[102X 86.1-1 
  web sites, for GAP 1.5 
  [2XWedgeGModule[102X 69.2-3 
  [2XWeekDay[102X 27.10-5 
  [2XWeightLexOrdering[102X 34.4-8 
  [2XWeightOfGenerators[102X 34.4-10 
  [2XWeightsTom[102X 70.7-12 
  [2XWeightVecFFE[102X 23.6-1 
  [2XWeylGroup[102X 64.7-3 
  [2XWeylOrbitIterator[102X 64.7-7 
  [2XWhere[102X 6.4-5 
  [9Xwhile[109X loop 4.18 
  [2XWordAlp[102X 27.7-10 
  words, in generators 39.5 
  Wreath product embedding 49.4-4 
  [2XWreathProduct[102X 49.4-1 
  [2XWreathProductImprimitiveAction[102X 49.4-2 
  [2XWreathProductOrdering[102X 34.4-13 
  [2XWreathProductProductAction[102X 49.4-3 
  [2XWriteAll[102X 10.4-3 
  [2XWriteByte[102X 10.4-1 
  [2XWriteGapIniFile[102X 3.2-3 
  [2XWriteLine[102X 10.4-2 
  [2XX[102X, for a family and a number 66.1-1 
      for a ring (and a name, and an exclusion list) 66.1-1 
      for a ring (and a number) 66.1-1 
  [22Xx_N[122X (irrational value) 18.4-3 
  [22Xy_N[122X (irrational value) 18.4-3 
  [2XZ[102X, for field size 59.1-2 
      for prime and degree 59.1-2 
  [2XZClassRepsQClass[102X 44.6-9 
  [2XZero[102X 31.10-3 
  [2XZeroAttr[102X 31.10-3 
  [2XZeroCoefficient[102X 65.2-5 
  [2XZeroCoefficientRatFun[102X 66.21-4 
  [2XZeroImmutable[102X 31.10-3 
  [2XZeroMapping[102X 32.2-9 
  [2XZeroMutable[102X 31.10-3 
  [2XZeroOp[102X 31.10-3 
  [2XZeroSameMutability[102X 31.10-3 
  [2XZeroSM[102X 31.10-3 
  [2XZeta[102X 19.2-10 
  [2XZippedProduct[102X 66.23-2 
  [2XZippedSum[102X 66.23-1 
  [2XZmodnZ[102X 14.5-2 
  [2XZmodnZObj[102X, for a residue class family and integer 14.5-3 
      for two integers 14.5-3 
  [2XZmodpZ[102X 14.5-2 
  [2XZmodpZNC[102X 14.5-2 
  [2XZumbroichBase[102X 60.3-1 
  [2XZuppos[102X 39.20-11 
  
  
  -------------------------------------------------------
