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### Index

`ActionOnRespectedPartition`, G 3.11-2
`AllProducts`, l, k 3.12
`balanced`, definition 2.6
`Ball`, G, g, d 3.7-7
`Ball`, G, p, d, act 3.7-7
`ClassPairs`, m 3.10
`ClassReflection`, r(m) 2.2-2
`ClassReflection`, r, m 2.2-2
`ClassShift`, r(m) 2.2-1
`ClassShift`, r, m 2.2-1
`ClassTransposition`, r1(m1), r2(m2) 2.2-3
`ClassTransposition`, r1, m1, r2, m2 2.2-3
`Coefficients`, f 2.3
Collatz conjecture 1.1
Collatz mapping 1.1
`CommonRightInverse`, l, r 2.12-2
`DecreasingOn`, f 2.9-3
`Determinant`, g 2.5-1
`Determinant`, g, S 2.5-1
`DirectProduct`, G1, G2, ... 3.2-1
`Display`, G 3.1
`Display`, f 2.2-5
`Div`, G 3.4
`Div`, f 2.6
`Divisor`, G 3.4
divisor, definition 2.1
`Divisor`, f 2.6
`EpimorphismByGenerators`, G, H 3.12
`Factorization`, g 2.4-1
`FactorizationIntoCSCRCT`, g 2.4-1
`FactorizationOnConnectedComponents`, f, m 2.8-3
`FixedPointsOfAffinePartialMappings`, f 2.7-3
`GeneratorsAndInverses`, G 3.12
`GluckTaylorInvariant`, a 2.9-4
`Group` 3.1
`GroupByGenerators` 3.1
`GroupWithGenerators` 3.1
`GuessedDivergence`, f 2.13-2
`Image`, f 2.3
`ImageDensity`, f 2.12-3
`IncreasingOn`, f 2.9-3
`Induction`, G, f 3.9-2
`Induction`, g, f 3.9-2
`InfoRCWA` 6.3-1
`InjectiveAsMappingFrom`, f 2.12-3
integral, definition 2.6
`IntegralConjugate`, G 3.11-4
`IntegralConjugate`, g 3.11-4
`IntegralizingConjugator`, G 3.11-4
`IntegralizingConjugator`, g 3.11-4
`IsBalanced`, f 2.6
`IsBijective`, f 2.3
`IsClassWiseOrderPreserving`, G 3.4
`IsClassWiseOrderPreserving`, f 2.6
`IsConjugate`, RCWA(Integers), f, g 3.8-1
`IsInjective`, f 2.3
`IsIntegral`, G 3.4
`IsIntegral`, f 2.6
`IsNaturalRCWA_GFqx`, G 3.13-1
`IsNaturalRCWA_Z`, G 3.13-1
`IsNaturalRCWA_Z_pi`, G 3.13-1
`IsomorphismMatrixGroup`, G 3.5-2
`IsomorphismPermGroup`, G 3.5-1
`IsomorphismRcwaGroup`, G 3.1-2
`IsomorphismRcwaGroupOverZ`, G 3.1-2
`IsRcwaGroup`, G 3.13-1
`IsRcwaGroupOverGFqx`, G 3.13-1
`IsRcwaGroupOverZ`, G 3.13-1
`IsRcwaGroupOverZ_pi`, G 3.13-1
`IsRcwaGroupOverZOrZ_pi`, G 3.13-1
`IsRcwaMapping`, f 2.14-1
`IsRcwaMappingOfGFqx`, f 2.14-1
`IsRcwaMappingOfZ`, f 2.14-1
`IsRcwaMappingOfZ_pi`, f 2.14-1
`IsRcwaMappingOfZOrZ_pi`, f 2.14-1
`IsRcwaMappingStandardRep` 2.14-1
`IsSurjective`, f 2.3
`IsTame`, G 3.4
`IsTame`, f 2.3
`IsTransitive`, G, Integers 3.7-1
`KernelOfActionOnRespectedPartition`, G 3.11-3
`LargestSourcesOfAffineMappings`, f 2.7-1
`LaTeX`, f 2.2-6
`LaTeXAndXDVI`, f 2.2-6
`LaTeXObj`, f 2.2-6
`LikelyContractionCentre`, f, maxn, bound 2.13-1
`LocalizedRcwaMapping`, f, p 2.10-1
`Loops`, f 2.8-7
`mKnot`, m 2.4-2
`Mod`, G 3.4
`Mod`, f 2.3
`Modulus`, G 3.4
modulus, definition 2.1
`Modulus`, f 2.3
`ModulusOfRcwaGroup`, G 3.4
`MovedPoints`, G 3.7
`MovedPoints`, g 2.3
`Mult`, G 3.4
`Mult`, f 2.6
`Multiplier`, G 3.4
multiplier, definition 2.1
`Multiplier`, f 2.6
`Multpk`, f, p, k 2.7-2
`NrConjugacyClassesOfRCWAZOfOrder`, ord 3.8-3
`OrbitsModulo`, G, m 3.7-6
`OrbitsModulo`, f, m 2.8-2
`Order`, g 2.3
`PermutationOpNC`, g, P, OnPoints 3.11-1
`PreImage`, f 2.3
`PreImageElm`, f 2.3
`PreImagesElm`, f 2.3
`PreImagesRepresentative`, phi, g 3.6-1
`PreImagesRepresentatives`, phi, g 3.6-2
`PrimeSet`, G 3.4
`PrimeSet`, f 2.6
`PrimeSwitch`, p 2.2-4
`PrimeSwitch`, p, k 2.2-4
`Print`, G 3.1
`Print`, f 2.2-5
`Projections`, G, m 3.7-6
`Random`, RCWA(Z) 3.10
`RankOfKernelOfActionOnRespectedPartition`, G 3.11-3
`RCWA`, R 3.1-1
rcwa group, class-wise order-preserving 3.4
rcwa group, definition 2.1
rcwa group, divisor 3.4
rcwa group, integral 3.4
rcwa group, membership test 3.3
rcwa group, modulus 3.4
rcwa group, multiplier 3.4
rcwa group, prime set 3.4
rcwa group, tame 2.1
rcwa group, wild 2.1
rcwa mapping, arithmetic operations 2.3
rcwa mapping, balanced 2.6
rcwa mapping, class-wise order-preserving 2.6
rcwa mapping, definition 2.1
rcwa mapping, divisor 2.1
rcwa mapping, images under 2.3
rcwa mapping, integral 2.6
rcwa mapping, modulus 2.1
rcwa mapping, multiplier 2.1
rcwa mapping, tame 2.1
rcwa mapping, transition graph 2.8-1
rcwa mapping, wild 2.1
`RCWABuildManual` 6.5-1
`RcwaGroupByPermGroup`, G 3.1-2
`RCWAInfo` 6.3-1
`RcwaMapping`, P1, P2 2.2-5
`RcwaMapping`, R, coeffs 2.2-5
`RcwaMapping`, R, m, coeffs 2.2-5
`RcwaMapping`, coeffs 2.2-5
`RcwaMapping`, cycles 2.2-5
`RcwaMapping`, m, values 2.2-5
`RcwaMapping`, perm, range 2.2-5
`RcwaMapping`, pi, coeffs 2.2-5
`RcwaMapping`, q, m, coeffs 2.2-5
`RcwaMappingsFamily`, R 2.14-2
`RCWATest` 6.4-1
`RepresentativeAction`, G, src, dest, act 3.7-2
`RepresentativeAction`, RCWA( Integers ), P1, P2 3.7-4
`RepresentativeAction`, RCWA(Integers), f, g 3.8-2
`RepresentativeActionPreImage`, G, src, dest, act, F 3.7-3
`RespectedPartition`, G 3.11-1
`RespectedPartition`, g 3.11-1
`RespectedPartitionLong`, G 3.11-1
`RespectedPartitionLong`, g 3.11-1
`RespectedPartitionShort`, G 3.11-1
`RespectedPartitionShort`, g 3.11-1
`RespectsPartition`, G 3.11-1
`RespectsPartition`, g 3.11-1
`RestrictedPerm`, g 2.3
`Restriction`, G, f 3.9-1
`Restriction`, g, f 3.9-1
`RightInverse`, f 2.12-1
`Root`, f, k 2.11-1
`SemilocalizedRcwaMapping`, f, pi 2.10-1
`SetOnWhichMappingIsClassWise`, Constant 2.7-3
`SetOnWhichMappingIsClassWise`, OrderPreserving 2.7-3
`SetOnWhichMappingIsClassWise`, OrderReversing 2.7-3
`ShortCycles`, G, S, maxlng 3.7-5
`ShortCycles`, f, maxlng 3.8-1
`ShortOrbits`, G, S, maxlng 3.7-5
`Sign`, g 2.5-2
`Sinks`, f 2.8-6
`Size`, G 3.4
`Sources`, f 2.8-5
`SplittedClassTransposition`, G 2.4-1
`String`, G 3.1
`String`, f 2.2-5
`StructureDescription`, G 3.1-3
`Support`, G 3.7
`Support`, g 2.3
tame, rcwa group 2.1
tame, rcwa mapping 2.1
`Trajectory`, f, n, length 2.9-1
`Trajectory`, f, n, length, m 2.9-1
`Trajectory`, f, n, length, whichcoeffs 2.9-2
`Trajectory`, f, n, terminal 2.9-1
`Trajectory`, f, n, terminal, m 2.9-1
`Trajectory`, f, n, terminal, whichcoeffs 2.9-2
`TransitionGraph`, f, m 2.8-1
`TransitionMatrix`, f, m 2.8-4
`View`, G 3.1
`View`, f 2.2-5
wild, rcwa group 2.1
wild, rcwa mapping 2.1
`WreathProduct`, G, P 3.2-2
`WreathProduct`, G, Z 3.2-2

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