\begin{theindex} \item \texttt {AllResidueClassesModulo} \subitem by modulus, of the default ring of that modulus, \hyperpage{6} \subitem of a given ring, modulo a given modulus, \hyperpage{6} \item \texttt {AllResidueClassesWithFixedRepsModulo} \subitem by modulus, of the default ring of that modulus, \hyperpage{12} \subitem by ring and modulus, \hyperpage{12} \item \texttt{AllResidues} \subitem by ring and modulus, \hyperpage{6} \item \texttt{AsListOfClasses} \subitem for a union of residue classes with fixed rep's, \hyperpage{12} \item \texttt{AsOrdinaryUnionOfResidueClasses} \subitem for a union of residue classes with fixed rep's, \hyperpage{13} \item \texttt {AsUnionOfFewClasses} \subitem for a residue class union, \hyperpage{8} \indexspace \item \texttt{Classes} \subitem of a union of residue classes with fixed rep's, \hyperpage{12} \indexspace \item \texttt {Delta} \subitem for a union of residue classes with fixed representatives, \hyperpage{15} \item \texttt {Density} \subitem of a residue class union, \hyperpage{9} \item \texttt{Density} \subitem of a union of residue classes with fixed rep's, \hyperpage{13} \item \texttt {Difference} \subitem for unions of residue classes with fixed representatives, \hyperpage{14} \item \texttt{Difference} \subitem for residue class unions, \hyperpage{7} \item \texttt{Display} \subitem for a residue class union, \hyperpage{7} \indexspace \item \texttt {EmailLogFile}, \hyperpage{19} \item \texttt{ExcludedElements} \subitem of a residue class union, \hyperpage{6} \item \texttt{ExtRepOfObj}, \hyperpage{10} \indexspace \item \texttt{Factors} \subitem of an element of a semilocalization of Z, \hyperpage{16} \indexspace \item \texttt{Gcd} \subitem of elements of a semilocalization of Z, \hyperpage{16} \indexspace \item \texttt{IncludedElements} \subitem of a residue class union, \hyperpage{6} \item \texttt {Intersection} \subitem for unions of residue classes with fixed representatives, \hyperpage{14} \item \texttt{Intersection} \subitem for residue class unions, \hyperpage{7} \item \texttt{IsOverlappingFree} \subitem for a union of residue classes with fixed rep's, \hyperpage{13} \item \texttt{IsResidueClass}, \hyperpage{5} \item \texttt {IsResidueClassUnion}, \hyperpage{9} \item \texttt {IsResidueClassUnionOfGFqx}, \hyperpage{9} \item \texttt {IsResidueClassUnionOfZ}, \hyperpage{9} \item \texttt{IsResidueClassUnionOfZ{\textunderscore}pi}, \hyperpage{10} \item \texttt {IsResidue}\discretionary {-}{}{}\texttt {Class}\discretionary {-}{}{}\texttt {Union}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Z{\textunderscore }pi}, \hyperpage{9} \item \texttt{IsResidueClassUnionResidueListRep}, \hyperpage{10} \item \texttt{IsResidueClassWithFixedRep}, \hyperpage{11} \item \texttt{IsSubset} \subitem for residue class unions, \hyperpage{7} \item \texttt{IsUnit} \subitem for an element of a semilocalization of Z, \hyperpage{16} \item \texttt{IsZ{\textunderscore}pi}, \hyperpage{16} \item \texttt{Iterator} \subitem for a residue class union, \hyperpage{9} \indexspace \item \texttt{Lcm} \subitem of elements of a semilocalization of Z, \hyperpage{16} \indexspace \item \texttt{Modulus} \subitem of a residue class, \hyperpage{5} \subitem of a residue class union, \hyperpage{6} \subitem of a union of residue classes with fixed rep's, \hyperpage{12} \item \texttt {Multiplicity} \subitem of a residue class in a union of residue classes with fixed rep's, \hyperpage{12} \subitem of an element in a union of residue classes with fixed rep's, \hyperpage{12} \indexspace \item \texttt{NextIterator} \subitem for an iterator of a residue class union, \hyperpage{9} \item \texttt{NoninvertiblePrimes} \subitem of a semilocalization of Z, \hyperpage{16} \item \texttt{NumberOfResidues} \subitem by ring and modulus, \hyperpage{6} \indexspace \item \texttt{ObjByExtRep}, \hyperpage{10} \indexspace \item \texttt {PartitionsIntoResidueClasses} \subitem of a given ring, of given length, \hyperpage{8} \item \texttt{Print} \subitem for a residue class union, \hyperpage{7} \indexspace \item \texttt {RandomPartitionIntoResidueClasses} \subitem of a given ring, of given length, \hyperpage{9} \item \texttt {RepresentativeStabilizingRefinement} \subitem of a union of res.-classes with fixed rep's, \hyperpage{15} \item \texttt {ResClassesBuildManual}, \hyperpage{18} \item \texttt {ResClassesTest}, \hyperpage{18} \item \texttt{Residue} \subitem of a residue class, \hyperpage{5} \item residue class union \subitem coercion, \hyperpage{10} \subitem definition, \hyperpage{6} \item \texttt {ResidueClass} \subitem by modulus and residue, \hyperpage{5} \subitem by residue and modulus, \hyperpage{5} \subitem by ring, modulus and residue, \hyperpage{5} \item \texttt {ResidueClassUnion} \subitem by ring, modulus and residues, \hyperpage{5} \subitem dito, plus included / excluded elements, \hyperpage{5} \item \texttt {ResidueClassUnionsFamily} \subitem of a ring, \hyperpage{10} \subitem of a ring, with fixed representatives, \hyperpage{10} \item \texttt{ResidueClassUnionViewingFormat}, \hyperpage{6} \item \texttt {ResidueClassWithFixedRepresentative} \subitem by ring, modulus and residue, \hyperpage{11} \subitem of Z, by modulus and residue, \hyperpage{11} \item \texttt{Residues} \subitem of a residue class union, \hyperpage{6} \item \texttt{Rho} \subitem for a union of residue classes with fixed rep's, \hyperpage{15} \indexspace \item \texttt {SendEmail}, \hyperpage{19} \item \texttt {SplittedClass} \subitem for a residue class and a number of parts, \hyperpage{7} \item \texttt{StandardAssociate} \subitem of an element of a semilocalization of Z, \hyperpage{16} \item \texttt{String} \subitem for a residue class union, \hyperpage{7} \indexspace \item \texttt {Union} \subitem for unions of residue classes with fixed representatives, \hyperpage{14} \item \texttt{Union} \subitem for residue class unions, \hyperpage{7} \item \texttt {UnionOfResidueClassesWithFixedReps} \subitem by ring and list of classes, \hyperpage{11} \subitem of Z, by list of classes, \hyperpage{11} \indexspace \item \texttt {Z{\textunderscore }pi} \subitem by noninvertible prime, \hyperpage{16} \subitem by set of noninvertible primes, \hyperpage{16} \end{theindex}