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Subindex: factor  ..  FactoredIndex


factor

   Factorization (RING OF INTEGERS)

FactorBasis

   FactorBasis(K, B) : FldNum, RngIntElt -> [ RngOrdIdl ]
   FactorBasis(O) : RngOrd -> [ RngOrdIdl ], Integer

FactorBasisCreate

   FactorBasisCreate(O,B): RngOrd, RngIntElt -> SeqEnum

FactorBasisVerify

   FactorBasisVerify(O, L, U): RngOrd, RngIntElt, RngIntElt ->

Factored

   CoxeterGroupFactoredOrder(C) : AlgMatElt -> .
   CoxeterGroupOrder(C) : AlgMatElt -> .
   CoxeterGroupOrder(M) : AlgMatElt -> .
   CoxeterGroupOrder(D) : GrphDir -> .
   CoxeterGroupOrder(G) : GrphUnd -> .
   CoxeterGroupOrder(N) : MonStgElt -> .
   FactoredCarmichaelLambda(n) : RngIntElt -> RngIntEltFact
   FactoredCharacteristicPolynomial(phi) : MapModAbVar -> RngUPolElt
   FactoredCharacteristicPolynomial(A: parameters) : Mtrx -> [ <RngUPolElt, RngIntElt>]
   FactoredChevalleyGroupOrder(type, n, F: parameters) : MonStgElt, RngIntElt, FldFin -> RngIntEltFact
   FactoredDefiningPolynomials(f) : MapSch -> SeqEnum
   FactoredDiscriminant(O) : AlgAssVOrd[RngOrd] -> [Tup]
   FactoredDiscriminant(S) : AlgQuatOrd -> SeqEnum
   FactoredEulerPhi(n) : RngIntElt -> RngIntEltFact
   FactoredEulerPhiInverse(n) : RngIntElt -> RngIntEltFact
   FactoredHeckePolynomial(A, n) : ModAbVar, RngIntElt -> RngUPolElt
   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> ]
   FactoredInverseDefiningPolynomials(f) : MapSch -> SeqEnum
   FactoredMinimalAndCharacteristicPolynomials(A: parameters) : Mtrx -> [<RngUPolElt, RngIntElt>], [<RngUPolElt, RngIntElt>]
   FactoredMinimalPolynomial(A: parameters) : Mtrx -> [ <RngUPolElt, RngIntElt>]
   FactoredModulus(R) : RngIntRes -> RngIntEltFact
   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(P) : GrpPCpQuotientProc -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(G) : GrpPerm -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(J) : JacHyp -> [ <RngIntElt, RngIntElt> ]
   FactoredOrder(P) : PtEll -> RngIntElt
   FactoredOrder(G) : SchGrpEll -> RngIntElt
   FactoredOrder(H) : SetPtEll -> RngIntElt
   FactoredProjectiveOrder(a) : AlgMatElt -> [ <RngIntElt, RngIntElt> ]
   FactoredProjectiveOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ], RngElt
   FactoredProjectiveOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ], RngElt
   GroupOfLieTypeFactoredOrder(R, q) : RootDtm, RngElt -> RngIntElt
   Index(G, H: parameters) : GrpFP, GrpFP -> RngIntElt
   IsogenyFromKernelFactored(E, psi) : SchGrpEll -> CrvEll, Map
   IsogenyFromKernelFactored(G) : SchGrpEll -> CrvEll, Map
   Order(G) : GrpMatUnip -> RngIntElt
   Order(G: parameters) : GrpFP -> RngIntElt
   RamifiedPlaces(A) : AlgQuat -> SeqEnum, SeqEnum

FactoredCarmichaelLambda

   FactoredCarmichaelLambda(n) : RngIntElt -> RngIntEltFact

FactoredCharacteristicPolynomial

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

FactoredChevalleyGroupOrder

   ChevalleyGroupOrder(type, n, F: parameters) : MonStgElt, RngIntElt, FldFin -> RngIntEltFact
   FactoredChevalleyGroupOrder(type, n, F: parameters) : MonStgElt, RngIntElt, FldFin -> RngIntEltFact

FactoredDefiningPolynomials

   FactoredDefiningPolynomials(f) : MapSch -> SeqEnum

FactoredDiscriminant

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

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013