\* 3.5-3\*, PROD 4.2-16\+ 3.5-2\[\], ELMLIST 4.2-17\^, POW 4.2-15\{\}, ELMSLIST 4.2-17AbsoluteValue 12.1-43Activities 6.1-8Activity 4.2-2ActivityInt 4.2-2ActivityPerm 4.2-2ActivitySparse 6.1-7ActivityTransformation 4.2-2Add, FIFO 12.1-23AddingElement 10.1-6AddingElement, FR machine 9.1-10AddingGroup 10.1-6AddingMachine 10.1-6AdjacencyBasesWithOne 7.2-21AdjacencyPoset 7.2-21AleshinGroup 10.1-16AleshinGroups 10.1-15AleshinMachine 10.1-16AleshinMachines 10.1-15AlgebraElement 6.1-3AlgebraElementNC 6.1-3AlgebraHomomorphismByFunction 12.1-40AlgebraMachine 6.1-3AlgebraMachineNC 6.1-3AlgebraWithOneHomomorphismByFunction 12.1-40AllInternalAddresses 9.2-9AllMealyMachines 5.1-4Alphabet 11.1-3AlphabetInvolution 5.2-6AlphabetOfFRAlgebra 11.1-3AlphabetOfFRObject 11.1-3AlphabetOfFRSemigroup 11.1-3Append, FIFO 12.1-23Argument 12.1-43ArtinRepresentation 12.1-15AsAlgebraElement 6.1-15AsAlgebraElement, Linear machine 6.1-17AsAlgebraMachine 6.1-15AsAlgebraMachine, Linear machine 6.1-17AsGroupFRElement 4.1-7AsGroupFRMachine 3.3-4AsGroupFRMachine, endomorphism 9.1-13AsIMGElement 9.1-7AsIMGMachine 9.1-3AsIntMealyElement 5.2-21AsIntMealyMachine 5.2-21AsLinearElement 6.1-13AsLinearMachine 6.1-13AsLpGroup 7.2-30AsMealyElement 5.2-20AsMealyMachine, FR machine 5.2-18AsMealyMachine, List 5.2-19AsMonoidFRElement 4.1-7AsMonoidFRMachine 3.3-4AsMonoidFRMachine, endomorphism 9.1-13AsPermutation, FR object 11.1-4AsPolynomialFRMachine 9.1-9AsPolynomialIMGMachine 9.1-9AsSemigroupFRElement 4.1-7AsSemigroupFRMachine 3.3-4AsSemigroupFRMachine, endomorphism 9.1-13AssociativeObject 6.1-2AsSubgroupFpGroup 7.2-30AsTrans 12.1-28AsTransformation, FR object 11.1-5AsVectorElement 6.1-14AsVectorElement, Linear machine 6.1-16AsVectorMachine 6.1-14AsVectorMachine, Linear machine 6.1-16AutomorphismIMGMachine 9.1-17AutomorphismVirtualEndomorphism 9.1-17BabyAleshinGroup 10.1-17BabyAleshinMachine 10.1-17Ball 12.1-10BasilicaGroup 10.1-3BinaryAddingElement 10.1-7BinaryAddingGroup 10.1-7BinaryAddingMachine 10.1-7BinaryKneadingGroup 10.1-2BinaryKneadingMachine 10.1-2BoundedBinaryGroup 10.1-1BranchingIdeal 8.1-4BranchingSubgroup 7.2-22BrunnerSidkiVieiraGroup 10.1-14BrunnerSidkiVieiraMachine 10.1-14CayleyGroup 10.1-31CayleyMachine 10.1-31ChangeFRMachineBasis 3.3-5CharneyBraidFpGroup 12.1-14CleanedIMGMachine 9.1-5CleanedP1Map 12.1-61CleanedP1Point 12.1-48CoefficientsInAbelianExtension 12.1-19CoefficientsOfP1Map 12.1-62Complex 12.1-43COMPLEX_0 12.1-43COMPLEX_1 12.1-43COMPLEX_2IPI 12.1-43COMPLEX_FAMILY 12.1-43COMPLEX_FIELD 12.1-43COMPLEX_I 12.1-43COMPLEX_INF 12.1-43COMPLEX_NAN 12.1-43ComplexConjugate 3.3-6ComplexRootsOfUnivariatePolynomial 12.1-44ComplexRootsOfUnivariatePolynomial, l 12.1-44ComposeElement, elementcoll,perm 4.1-4CompressedPeriodicList 12.1-5CompressedPeriodicList, period, looping point 12.1-5CompressPeriodicList 12.1-6ConfinalityClass 12.1-8ConfinalityClasses 5.2-23Correspondence, FR machine 3.5-11Correspondence, FR semigroup 7.1-3Cycle 12.1-29Cycles 12.1-30DahmaniGroup 10.1-27DBRationalIMGGroup 9.1-18DecompositionOfFRElement 4.2-6Degree, FR element 5.2-9Degree, FR semigroup 7.2-15DegreeOfFRElement 5.2-9DegreeOfFRMachine 5.2-9DegreeOfFRSemigroup 7.2-15DegreeOfHomogeneousElement 8.2-4DegreeOfP1Map 12.1-65DegreeOfRationalFunction 12.1-46DelaunayTriangulation 9.2-1Depth, FR element 5.2-11Depth, FR semigroup 7.2-15DepthOfFRElement 5.2-11DepthOfFRMachine 5.2-11DepthOfFRSemigroup 7.2-15DiagonalElement 4.1-6DimensionSeries 12.1-25DirectProductOp, FR Machines 3.5-7DirectSum 12.1-3DirectSumOp, FR Machines 3.5-6Draw 5.2-1Draw, poset 12.1-22Draw, spider 9.2-5DualMachine 5.2-3EpimorphismFromFpGroup 7.2-29EpimorphismGermGroup 7.2-5EpimorphismGermGroup, EGG0 7.2-5EpimorphismMatrixQuotient 8.2-1EpimorphismPcGroup 7.2-2EpimorphismPermGroup 7.2-1EpimorphismTransformationMonoid 7.2-3EpimorphismTransformationSemigroup 7.2-4EpimorphismTransMonoid 7.2-3EpimorphismTransSemigroup 7.2-4EXP_COMPLEX 12.1-43ExternalAngle 9.2-11ExternalAnglesRelation 9.2-10FabrykowskiGuptaGroup 10.1-22FabrykowskiGuptaGroups 10.1-22FindBranchingSubgroup 7.2-23FindThurstonObstruction 9.2-7FinitaryBinaryGroup 10.1-1FiniteDepthBinaryGroup 10.1-1FiniteStateBinaryGroup 10.1-1FixedRay, FR element 5.2-16FixedStates 4.2-10FornaessSibonyGroup 10.1-4FRAffineGroup 10.1-30FRAlgebra 8.1-1FRAlgebraWithOne 8.1-1FREFamily 11.1-2FRElement, [list,]list,list,list 4.1-2FRElement, machine/element,list 4.1-3FRElement, semigroup,list,list,list 4.1-2FRElementNC, family,free,listlist,list,assocword 4.1-1FRGroup 7.1-1FRGroupByVirtualEndomorphism 7.1-8FRMachine, [list,]list,list 3.3-2FRMachine, rational function 9.2-6FRMachine, semigroup,list,list 3.3-2FRMachineFRGroup 7.1-5FRMachineFRMonoid 7.1-5FRMachineFRSemigroup 7.1-5FRMachineNC, family,free,listlist,list 3.3-1FRMachineRWS 11.3-1FRMFamily 11.1-1FRMonoid 7.1-1FRSemigroup 7.1-1FullBinaryGroup 10.1-1FullSCGroup 7.1-4FullSCMonoid 7.1-4FullSCSemigroup 7.1-4FullTransMonoid 12.1-31GammaPQGroup 10.1-24GammaPQMachine 10.1-24GeneralizedGuptaSidkiGroups 10.1-19GeneratorsOfFRMachine 3.4-2GermData 7.2-6Germs 5.2-24GermValue 7.2-6GrigorchukGroup 10.1-11GrigorchukGroups 10.1-10GrigorchukLieAlgebra 10.3-4GrigorchukMachine 10.1-11GrigorchukMachines 10.1-10GrigorchukOverGroup 10.1-12GrigorchukThinnedAlgebra 10.3-2GrigorchukTwistedTwin 10.1-13GuessMealyElement 5.2-28GuessVectorElement 6.1-12GuptaSidkiGroup 10.1-20GuptaSidkiGroups 10.1-19GuptaSidkiLieAlgebra 10.3-4GuptaSidkiMachine 10.1-20GuptaSidkiMachines 10.1-19GuptaSidkiThinnedAlgebra 10.3-3HanoiGroup 10.1-26HasCongruenceProperty 7.2-17HasOpenSetConditionFRElement 5.2-25HasOpenSetConditionFRSemigroup 7.2-16HeightOfPoset 12.1-22HorizontalAction 10.5-2I2Machine 10.2-1I2Monoid 10.2-1I4Machine 10.2-2I4Monoid 10.2-2ImageSetOfTrans 12.1-32ImaginaryPart 12.1-43IMGMachine, rational function 9.2-6IMGMachineNC 9.1-2IMGRelator 9.1-4InfoFR 12.2-1InitialState 4.2-14IS_COMPLEX 12.1-43IsAlgebraFRMachineRep 11.2-8IsAmenableGroup 7.3-3IsAntisymmetricFRElement 6.1-10IsBireversible 5.2-7IsBoundedFRElement 5.2-12IsBoundedFRMachine 5.2-12IsBoundedFRSemigroup 7.2-14IsBranched, FR group 7.2-24IsBranchingSubgroup, FR semigroup 7.2-25IsConfinal 12.1-7IsContracting 7.2-18IsConvergent 6.1-9IsDiagonalFRElement 6.1-10IsFIFO 12.1-23IsFinitaryFRElement 5.2-10IsFinitaryFRMachine 5.2-10IsFinitaryFRSemigroup 7.2-14IsFiniteStateFRElement 4.2-12IsFiniteStateFRMachine 4.2-12IsFiniteStateFRSemigroup 7.2-14IsFpLieAlgebra 12.1-41IsFRAlgebra 11.2-17IsFRAlgebraWithOne 11.2-17IsFRElement 11.2-11IsFRGroup 11.2-16IsFRMachine 11.2-14IsFRMachineStrRep 11.2-2IsFRMealyElement 11.2-12IsFRMonoid 11.2-16IsFRObject 11.2-13IsFRSemigroup 11.2-16IsGroupFRElement 11.2-11IsGroupFRMachine 11.2-1IsGroupFRMealyElement 11.2-12IsHomogeneousElement 8.2-4IsIMGElement 9.1-7IsIMGMachine 9.1-1IsInfinitelyTransitive 7.2-13IsInvertible 11.2-15IsIrreducibleVHGroup 10.5-4IsJustInfinite 7.3-7IsKneadingMachine 9.1-8IsLevelTransitive, FR element 5.2-17IsLevelTransitive, FR group 7.2-12IsLevelTransitiveOnPatterns 7.2-13IsLinearFRElement 11.2-10IsLinearFRMachine 11.2-9IsLowerTriangularFRElement 6.1-10IsMarkedSphere 9.2-3IsMealyElement 11.2-4IsMealyMachine 11.2-3IsMealyMachineDomainRep 11.2-6IsMealyMachineIntRep 11.2-5IsMinimized 5.2-5IsMonoidFRElement 11.2-11IsMonoidFRMachine 11.2-1IsMonoidFRMealyElement 11.2-12IsNilElement 8.2-3IsomorphismFRGroup 7.1-6IsomorphismFRMonoid 7.1-6IsomorphismFRSemigroup 7.1-6IsomorphismLpGroup 7.2-30IsomorphismMealyGroup 7.1-7IsomorphismMealyMonoid 7.1-7IsomorphismMealySemigroup 7.1-7IsomorphismSubgroupFpGroup 7.2-30IsP1Map 12.1-59IsP1Point 12.1-47IsPeriodicList 12.1-4IsPlanarKneadingMachine 9.1-8IsPolynomialFRMachine 9.1-1IsPolynomialGrowthFRElement 5.2-13IsPolynomialGrowthFRMachine 5.2-13IsPolynomialGrowthFRSemigroup 7.2-14IsPolynomialIMGMachine 9.1-1IsRecurrentFRSemigroup 7.2-11IsResiduallyFinite 7.3-5IsReversible 5.2-4IsSemigroupFRElement 11.2-11IsSemigroupFRMachine 11.2-1IsSemigroupFRMealyElement 11.2-12IsSphereTriangulation 9.2-3IsSQUniversal 7.3-6IsStateClosed 7.2-9IsSymmetricFRElement 6.1-10IsTorsionFreeGroup 7.3-2IsTorsionGroup 7.3-1IsTrans 12.1-26IsUpperTriangularFRElement 6.1-10IsVectorFRMachineRep 11.2-7IsVHGroup 10.5-1IsVirtuallySimpleGroup 7.3-4IsWeaklyFinitaryFRElement 5.2-23IsWeaklyFinitaryFRSemigroup 7.2-14JenningsLieAlgebra 12.1-42KernelOfTrans 12.1-33KneadingSequence, angle 9.2-8LambdaElementVHGroup 7.3-4LamplighterGroup 10.1-31LargestCommonPrefix 12.1-9LDUDecompositionFRElement 6.1-11LevelStabilizer 7.2-8LimitFRMachine 5.2-26LimitStates 4.2-11ListTrans 12.1-34LocateInTriangulation 9.2-2MACFLOAT_EPS 12.1-45MACFLOAT_INF 12.1-45MACFLOAT_NAN 12.1-45MACFLOAT_PI 12.1-45MagmaEndomorphismByImagesNC 12.1-20MagmaHomomorphismByImagesNC 12.1-21MamaghaniGroup 10.1-28Mandel 9.1-20Mating 9.1-16MatrixQuotient 8.2-1MaximalSimpleSubgroup 10.5-5MealyElement, [list,]listlist,list,int 5.1-1MealyElement, domain,domain,function,function,obj 5.1-2MealyElementNC, family,listlist,list,int 5.1-3MealyMachine, [list,]listlist,list 5.1-1MealyMachine, domain,domain,function,function 5.1-2MealyMachineFRGroup 7.1-5MealyMachineFRMonoid 7.1-5MealyMachineFRSemigroup 7.1-5MealyMachineNC, family,listlist,list 5.1-3Minimized, FR machine 3.5-10Minimized, Mealy machine 5.2-2MixerGroup 10.1-8MixerMachine 10.1-8MoebiusMap 12.1-59MoebiusMap, 2 12.1-59MoebiusMap, 3 12.1-59NestedMatrixCoefficient 6.1-6NestedMatrixState 6.1-6NeumannGroup 10.1-21NeumannMachine 10.1-21NewFIFO 12.1-23NewGroupFRMachine 9.1-6NewIMGMachine 9.1-6NewMonoidFRMachine 9.1-6NewSemigroupFRMachine 9.1-6Nillity 8.2-3Norm 12.1-43NormalizedPolynomialFRMachine 9.1-14NormalizedPolynomialIMGMachine 9.1-14NormOfBoundedFRElement 5.2-24Nucleus, FR algebra 8.1-3Nucleus, FR machine 4.2-13Nucleus, FR semigroup 7.2-19NucleusMachine, FR machine 5.2-27NucleusMachine, FR semigroup 7.2-20NucleusOfFRAlgebra 8.1-3NucleusOfFRMachine 4.2-13NucleusOfFRSemigroup 7.2-19OneTrans 12.1-35OrbitGrowth 12.1-10Output, FR element 4.2-1Output, FR machine,state 3.4-3Output, FR machine,state,letter 3.4-3P1Antipode 12.1-50P1Barycentre 12.1-51P1Circumcentre 12.1-52P1Distance 12.1-53P1Identity 12.1-60P1Image 12.1-66P1infinity 12.1-49P1MapByCoefficients 12.1-63P1MapCriticalPoints 12.1-68P1MapRational 12.1-69P1MapsFamily 12.1-59P1MapSL2 12.1-71P1Midpoint 12.1-54P1Path 12.1-64P1Point 12.1-47P1Point, ri 12.1-47P1Point, s 12.1-47P1PointsFamily 12.1-47P1PreImages 12.1-67P1Sphere 12.1-55P1XRatio 12.1-58PcGroup 7.2-2Period 12.1-5PeriodicList 12.1-5PeriodicList, list, function 12.1-5PeriodicList, period, looping point 12.1-5PeriodicListsFamily 12.1-4PermGroup 7.2-1PoirierExamples 10.1-5PolynomialFRMachine 9.1-11PolynomialGrowthBinaryGroup 10.1-1PolynomialIMGMachine 9.1-11PolynomialMealyMachine 9.1-11Portrait 4.2-5PortraitInt 4.2-5PortraitPerm 4.2-5PositionInTower 12.1-17PostCriticalMachine 9.1-19PreImagesOfTrans 12.1-36PrePeriod 12.1-5ProductBOIIdeal 12.1-24ProductIdeal 12.1-24PSZAlgebra 10.3-1PureSurfaceBraidFpGroup 12.1-13RandomTrans 12.1-37RankOfTrans 12.1-38RationalFunction 9.2-4RationalP1Map 12.1-70RationalP1Map, im 12.1-70RattaggiGroup 10.1-25RealPart 12.1-43RenameSubobjects 12.1-18RestrictedTrans 12.1-39RotatedSpider 3.3-7SCAlgebra 8.1-2SCAlgebraNC 8.1-2SCAlgebraWithOne 8.1-2SCAlgebraWithOneNC 8.1-2SCGroup 7.1-2SCGroupNC 7.1-2SCLieAlgebra 8.1-2SCMonoid 7.1-2SCMonoidNC 7.1-2SCSemigroup 7.1-2SCSemigroupNC 7.1-2SEARCH@ 12.2-2ShortGroupRelations 12.1-11ShortGroupWordInSet 12.1-12ShortMonoidRelations 12.1-11ShortMonoidWordInSet 12.1-12ShortSemigroupWordInSet 12.1-12SidkiFreeAlgebra 10.3-5SidkiFreeGroup 10.1-18SidkiMonomialAlgebra 10.3-6Signatures 5.2-14SimplifiedIMGMachine 9.1-15SL2P1Map 12.1-72Sphere 12.1-10SphereP1 12.1-56SphereP1Y 12.1-57Spider, m 9.2-3Spider, r 9.2-3StabilizerImage 7.2-7State 4.2-8StateClosure 7.2-10StateGrowth 5.2-8States 4.2-9StateSet, FR element 4.2-7StateSet, FR machine 3.4-1StringByInt 12.1-16StructuralGroup 3.5-1StructuralMonoid 3.5-1StructuralSemigroup 3.5-1SubFRMachine 3.5-9SubFRMachine, machine,map 3.5-9SunicGroup 10.1-9SunicMachine 10.1-9SupportingRays 9.1-12SurfaceBraidFpGroup 12.1-13TensorProduct 12.1-2TensorProductOp, FR Machines 3.5-5TensorSum 12.1-1TensorSumOp, FR Machines 3.5-4ThinnedAlgebra 8.2-2ThinnedAlgebraWithOne 8.2-2TopElement 5.2-22TopVertexTransformations 7.2-26Trans 12.1-27TRANS_FAMILY 12.1-26TransformationMonoid 7.2-3TransformationSemigroup 7.2-4Transition, FR element,input 4.2-3Transition, FR machine,state,input 3.4-4Transition, Linear machine 6.1-4Transitions 6.1-5Transitions, FR element 4.2-4Transitions, FR machine,state 3.4-5TransList 12.1-27TransMonoid 7.2-3TransNC 12.1-27TransposedFRElement 6.1-10TransSemigroup 7.2-4TreeWreathProduct, FR group 7.1-9TreeWreathProduct, FR machine 3.5-8UnderlyingFRMachine 3.3-3UnderlyingMealyElement 11.2-12VectorElement 6.1-1VectorElementNC 6.1-1VectorMachine 6.1-1VectorMachineNC 6.1-1VertexElement 4.1-5VertexTransformations, FR semigroup 7.2-27VertexTransformationsFRElement 5.2-15VertexTransformationsFRMachine 5.2-15VerticalAction 10.5-2VHGroup 10.5-3VHStructure 10.5-1VirtualEndomorphism 7.2-28WeaklyBranchedEmbedding 7.1-10WeierstrassGroup 10.1-29WordGrowth 12.1-10WordGrowth, 1arg 12.1-10WreathRecursion 3.4-6ZugadiSpinalGroup 10.1-23
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