\begin{theindex}

  \item \texttt  {ActionOnRespectedPartition}
    \subitem G, \hyperpage{44}

  \indexspace

  \item \texttt  {ClassReflection}
    \subitem r, m, \hyperpage{12}
  \item \texttt  {ClassShift}
    \subitem r, m, \hyperpage{12}
  \item \texttt  {ClassTransposition}
    \subitem r1, m1, r2, m2, \hyperpage{13}
  \item \texttt  {CoefficientsOnTrajectory}
    \subitem f, n, val, cond, all, \hyperpage{24}
  \item Collatz conjecture, \hyperpage{6}
  \item Collatz mapping, \hyperpage{6}

  \indexspace

  \item \texttt  {DecreasingOn}
    \subitem f, \hyperpage{25}
  \item \texttt  {Determinant}
    \subitem sigma, \hyperpage{17}
    \subitem sigma, S, \hyperpage{17}
  \item \texttt  {DirectProduct}
    \subitem G1, G2, ..., \hyperpage{43}
  \item \texttt  {Div}
    \subitem f, \hyperpage{18}
  \item \texttt  {Divisor}
    \subitem f, \hyperpage{18}

  \indexspace

  \item \texttt  {FactorizationIntoGenerators}
    \subitem g, \hyperpage{16}
  \item \texttt  {FactorizationOnConnectedComponents}
    \subitem f, m, \hyperpage{22}

  \indexspace

  \item \texttt  {GuessedDivergence}
    \subitem f, \hyperpage{26}

  \indexspace

  \item \texttt  {ImageDensity}
    \subitem f, \hyperpage{26}
  \item \texttt  {\texttt  {\char 92\relax }in}
    \subitem g, G, \hyperpage{32}
  \item \texttt  {IncreasingOn}
    \subitem f, \hyperpage{25}
  \item \texttt  {InfoRCWA}, \hyperpage{99}
  \item \texttt  {IntegralConjugate}
    \subitem f, \hyperpage{45}
    \subitem G, \hyperpage{45}
  \item \texttt  {IntegralizingConjugator}
    \subitem f, \hyperpage{45}
    \subitem G, \hyperpage{45}
  \item \texttt  {IntegralRcwaGroupsFamily}, \hyperpage{46}
  \item \texttt  {IsClassWiseOrderPreserving}
    \subitem f, \hyperpage{19}
  \item \texttt  {IsConjugate}
    \subitem RCWA( Integers ), f, g, \hyperpage{40}
  \item \texttt  {IsIntegral}
    \subitem f, \hyperpage{19}
  \item \texttt  {IsIntegralRcwaGroup}
    \subitem G, \hyperpage{46}
  \item \texttt  {IsIntegralRcwaMapping}
    \subitem f, \hyperpage{26}
  \item \texttt  {IsModularRcwaGroup}
    \subitem G, \hyperpage{46}
  \item \texttt  {IsModularRcwaMapping}
    \subitem f, \hyperpage{26}
  \item \texttt  {IsomorphismMatrixGroup}
    \subitem G, \hyperpage{33}
  \item \texttt  {IsomorphismPermGroup}
    \subitem G, \hyperpage{32}
  \item \texttt  {IsomorphismRcwaGroup}
    \subitem G, \hyperpage{30}
  \item \texttt  {IsRcwaGroup}
    \subitem G, \hyperpage{46}
  \item \texttt  {IsRcwaMapping}
    \subitem f, \hyperpage{26}
  \item \texttt  {IsSemilocalIntegralRcwaGroup}
    \subitem G, \hyperpage{46}
  \item \texttt  {IsSemilocalIntegralRcwaMapping}
    \subitem f, \hyperpage{26}
  \item \texttt  {IsTame}
    \subitem G, \hyperpage{31}
  \item \texttt  {IsTransitive}
    \subitem G, Integers, \hyperpage{36}

  \indexspace

  \item \texttt  {LargestSourcesOfAffineMappings}
    \subitem f, \hyperpage{20}
  \item \texttt  {LaTeXObj}
    \subitem f, \hyperpage{14}
  \item \texttt  {LikelyContractionCentre}
    \subitem f, maxn, bound, \hyperpage{25}

  \indexspace

  \item \texttt  {Mod}
    \subitem G, \hyperpage{30}
  \item \texttt  {Modulus}
    \subitem G, \hyperpage{30}
  \item \texttt  {Mult}
    \subitem f, \hyperpage{18}
  \item \texttt  {Multiplier}
    \subitem f, \hyperpage{18}
  \item \texttt  {Multpk}
    \subitem f, p, k, \hyperpage{20}

  \indexspace

  \item \texttt  {NrConjugacyClassesOfRCWAZOfOrder}
    \subitem ord, \hyperpage{42}

  \indexspace

  \item \texttt  {OrbitsModulo}
    \subitem f, m, \hyperpage{21}
    \subitem G, m, \hyperpage{40}

  \indexspace

  \item \texttt  {PreImagesRepresentative}
    \subitem phi, g, \hyperpage{34}
  \item \texttt  {PreImagesRepresentatives}
    \subitem phi, g, \hyperpage{35}
  \item \texttt  {PrimeSet}
    \subitem f, \hyperpage{19}
    \subitem G, \hyperpage{31}
  \item \texttt  {PrimeSwitch}
    \subitem p, \hyperpage{13}
    \subitem p, k, \hyperpage{13}

  \indexspace

  \item \texttt  {Random}
    \subitem RCWA( Integers ), \hyperpage{28}
  \item \texttt  {RCWA}
    \subitem R, \hyperpage{27}
  \item rcwa group
    \subitem definition, \hyperpage{8}
    \subitem element testing, \hyperpage{32}
  \item rcwa mapping
    \subitem definition, \hyperpage{8}
    \subitem modulus, \hyperpage{8}
    \subitem transition graph, \hyperpage{21}
    \subitem transition matrix, \hyperpage{22}
  \item \texttt  {RCWABuildManual}, \hyperpage{98}
  \item \texttt  {RcwaGroupByPermGroup}
    \subitem G, \hyperpage{30}
  \item \texttt  {RcwaMapping}
    \subitem coeffs, \hyperpage{10}
    \subitem cycles, \hyperpage{10}
    \subitem m, values, \hyperpage{10}
    \subitem P1, P2, \hyperpage{10}
    \subitem perm, range, \hyperpage{10}
    \subitem pi, coeffs, \hyperpage{10}
    \subitem q, m, coeffs, \hyperpage{10}
    \subitem R, coeffs, \hyperpage{10}
    \subitem R, m, coeffs, \hyperpage{10}
  \item \texttt  {RcwaMappingsFamily}
    \subitem R, \hyperpage{26}
  \item \texttt  {RCWATest}, \hyperpage{99}
  \item \texttt  {RepresentativeAction}
    \subitem G, src, dest, act, \hyperpage{37}
    \subitem RCWA( Integers ), f, g, \hyperpage{41}
    \subitem RCWA( Integers ), P1, P2, \hyperpage{38}
  \item \texttt  {RepresentativeActionPreImage}
    \subitem G, src, dest, act, F, \hyperpage{38}
  \item \texttt  {RespectedPartition}
    \subitem G, \hyperpage{44}
    \subitem sigma, \hyperpage{44}
  \item \texttt  {Restriction}
    \subitem G, f, \hyperpage{43}
    \subitem g, f, \hyperpage{42}

  \indexspace

  \item \texttt  {SetOnWhichMappingIsClassWiseConstant}
    \subitem f, \hyperpage{21}
  \item \texttt  {SetOnWhichMappingIsClassWiseOrderPreserving}
    \subitem f, \hyperpage{21}
  \item \texttt  {SetOnWhichMappingIsClassWiseOrderReversing}
    \subitem f, \hyperpage{21}
  \item \texttt  {ShortCycles}
    \subitem f, maxlng, \hyperpage{41}
  \item \texttt  {ShortOrbits}
    \subitem G, S, maxlng, \hyperpage{39}
  \item \texttt  {Sign}
    \subitem sigma, \hyperpage{18}
  \item \texttt  {Size}
    \subitem G, \hyperpage{32}

  \indexspace

  \item \texttt  {Trajectory}
    \subitem f, n, val, cond, \hyperpage{23}
  \item \texttt  {TrajectoryModulo}
    \subitem f, n, lng, \hyperpage{24}
    \subitem f, n, m, lng, \hyperpage{24}
  \item \texttt  {TransitionGraph}
    \subitem f, m, \hyperpage{21}
  \item \texttt  {TransitionMatrix}
    \subitem f, m, \hyperpage{22}

\end{theindex}
