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Subindex: FactoredCarmichaelLambda  ..  Factorization


FactoredCarmichaelLambda

   FactoredCarmichaelLambda(n) : RngIntElt -> RngIntEltFact

FactoredCharacteristicPolynomial

   FactoredCharacteristicPolynomial(phi) : MapModAbVar -> RngUPolElt
   FactoredCharacteristicPolynomial(A: parameters) : Mtrx -> [ <RngUPolElt, RngIntElt>]

FactoredDefiningPolynomials

   FactoredDefiningPolynomials(f) : MapSch -> SeqEnum

FactoredDiscriminant

   FactoredDiscriminant(O) : AlgAssVOrd[RngOrd] -> [Tup]
   RamifiedPlaces(A) : AlgQuat[FldAlg] -> SeqEnum, SeqEnum
   RamifiedPrimes(A) : AlgQuat -> SeqEnum

FactoredEulerPhi

   FactoredEulerPhi(n) : RngIntElt -> RngIntEltFact

FactoredEulerPhiInverse

   FactoredEulerPhiInverse(n) : RngIntElt -> RngIntEltFact

FactoredHeckePolynomial

   FactoredHeckePolynomial(A, n) : ModAbVar, RngIntElt -> RngUPolElt

FactoredIndex

   FactoredIndex(G, H) : GrpAb, GrpAb -> [<RngIntElt, RngIntElt>]
   FactoredIndex(G, H) : GrpFin, GrpFin -> [ <RngIntElt, RngIntElt> ]
   FactoredIndex(G, H) : GrpGPC, GrpGPC -> [<RngIntElt, RngIntElt>]
   FactoredIndex(G, H) : GrpMat, GrpMat -> [ <RngIntElt, RngIntElt> ]
   FactoredIndex(G, H) : GrpPC, GrpPC -> [<RngIntElt, RngIntElt>]
   FactoredIndex(G, H) : GrpPerm, GrpPerm -> [ <RngIntElt, RngIntElt> ]
   Index(G, H: parameters) : GrpFP, GrpFP -> RngIntElt

FactoredInverseDefiningPolynomials

   FactoredInverseDefiningPolynomials(f) : MapSch -> SeqEnum

FactoredMCPolynomials

   FactoredMCPolynomials(A: parameters) : Mtrx -> [<RngUPolElt, RngIntElt>], [<RngUPolElt, RngIntElt>]
   FactoredMinimalAndCharacteristicPolynomials(A: parameters) : Mtrx -> [<RngUPolElt, RngIntElt>], [<RngUPolElt, RngIntElt>]

FactoredMinimalAndCharacteristicPolynomials

   FactoredMCPolynomials(A: parameters) : Mtrx -> [<RngUPolElt, RngIntElt>], [<RngUPolElt, RngIntElt>]
   FactoredMinimalAndCharacteristicPolynomials(A: parameters) : Mtrx -> [<RngUPolElt, RngIntElt>], [<RngUPolElt, RngIntElt>]

FactoredMinimalPolynomial

   FactoredMinimalPolynomial(A: parameter) : Mtrx -> [ <RngUPolElt, RngIntElt>]

FactoredModulus

   FactoredModulus(R) : RngIntRes -> RngIntEltFact

FactoredOrder

   FactoredOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(a) : AlgMatElt -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(a) : FldFinElt -> RngIntElt
   FactoredOrder(G) : GrpAb -> [<RngIntElt, RngIntElt>]
   FactoredOrder(A) : GrpAutCrv -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(A) : GrpAuto -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(G) : GrpFin -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(G) : GrpGPC -> [<RngIntElt, RngIntElt>]
   FactoredOrder(G) : GrpLie -> RngIntElt
   FactoredOrder(G) : GrpMat -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(g) : GrpMatElt -> [ <RngIntElt, RngIntElt> ], BoolElt
   FactoredOrder(G) : GrpPC -> [<RngIntElt, RngIntElt>]
   FactoredOrder(G) : GrpPerm -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(J) : JacHyp -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(P) : Process(pQuot) -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(P) : PtEll -> RngIntElt
   FactoredOrder(G) : SchGrpEll -> RngIntElt
   FactoredOrder(H) : SetPtEll -> RngIntElt
   Order(G: parameters) : GrpFP -> RngIntElt

FactoredProjectiveOrder

   FactoredProjectiveOrder(a) : AlgMatElt -> [ <RngIntElt, RngIntElt> ]
   FactoredProjectiveOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ], RngElt
   FactoredProjectiveOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ], RngElt

Factorial

   Factorial(n) : RngIntElt -> RngIntElt
   Factorial(n) : RngIntElt -> RngIntElt
   GaussianFactorial(n, v) : RngIntElt, RngElt -> RngElt

Factorisation

   Factorization(A) : ModAbVar -> List
   Factorisation(A) : ModAbVar -> List
   FactorisationToPolynomial(f) :[Tup] -> BoolElt
   Factorization(I) : RngFunOrdIdl -> [ <RngFunOrdIdl, RngIntElt> ]
   Factorization(n) : RngIntElt -> RngIntEltFact, RngIntElt, SeqEnum
   Factorization(I) : RngOrdFracIdl -> [<RngOrdIdl, RngIntElt>]
   Factorization(n) : RngQuadElt -> SeqEnum, Tup
   Factorization(f) : RngUPolElt -> [ < RngUPolElt, RngIntElt >], RngElt
   FactorizationOverSplittingField(f) : RngUPolElt[FldFin] -> [<RngUPolElt, RngIntElt>], FldFin
   FactorizationToInteger(s) : [ <RngIntElt, RngIntElt> ] -> RngIntElt

FactorisationOverSplittingField

   FactorisationOverSplittingField(f) : RngUPolElt[FldFin] -> [<RngUPolElt, RngIntElt>], FldFin
   FactorizationOverSplittingField(f) : RngUPolElt[FldFin] -> [<RngUPolElt, RngIntElt>], FldFin

FactorisationToInteger

   FactorisationToInteger(s) : [ <RngIntElt, RngIntElt> ] -> RngIntElt
   Facint(s) : [ <RngIntElt, RngIntElt> ] -> RngIntElt
   FactorizationToInteger(s) : [ <RngIntElt, RngIntElt> ] -> RngIntElt

FactorisationToPolynomial

   Facpol(f) : [Tup] -> BoolElt
   FactorisationToPolynomial(f) :[Tup] -> BoolElt

Factorization

   DistinctDegreeFactorization(f) : RngUPolElt -> [ <RngIntElt, RngUPolElt> ]
   EqualDegreeFactorization(f, d, g) : RngUPolElt, RngIntElt, RngUPolElt -> [ RngUPolElt ]
   Facint(f) : RngIntEltFact -> RngIntElt
   Factorisation(A) : ModAbVar -> List
   Factorization(I) : RngFunOrdIdl -> [ <RngFunOrdIdl, RngIntElt> ]
   Factorization(n) : RngIntElt -> RngIntEltFact, RngIntElt, SeqEnum
   Factorization(f) : RngMPolElt -> [ < RngMPolElt, RngIntElt >], RngElt
   Factorization(I) : RngOrdFracIdl -> [<RngOrdIdl, RngIntElt>]
   Factorization(n) : RngQuadElt -> SeqEnum, Tup
   Factorization(f) : RngUPolElt -> [ < RngUPolElt, RngIntElt > ]
   Factorization(f) : RngUPolElt -> [ < RngUPolElt, RngIntElt >], RngElt
   Factorization(f) : RngUPolElt[RngSerPow] -> [ < RngUPolElt[RngSerPow], RngIntElt > ], RngSerPowElt
   FactorizationOverSplittingField(f) : RngUPolElt[FldFin] -> [<RngUPolElt, RngIntElt>], FldFin
   FactorizationToInteger(s) : [ <RngIntElt, RngIntElt> ] -> RngIntElt
   HasPolynomialFactorization(R) : Rng -> BoolElt
   IsUFD(R) : Rng -> BoolElt
   PartialFactorization(S) : [ RngIntElt ] -> [ RngIntEltFact ]
   SeqFact(s) : SeqEnum -> RngIntEltFact
   SquareFreeFactorization(f) : RngUPolElt -> [ < RngUPolElt, RngIntElt > ]
   SquarefreeFactorization(n) : RngIntElt -> RngIntElt, RngIntElt
   SquarefreeFactorization(f) : RngMPolElt -> [ <RngMPolElt, RngIntElt> ]
   SquarefreeFactorization(f) : RngUPolElt -> [ <RngUPolElt, RngIntElt> ]
   AlgAff_Factorization (Example H95E5)


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