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Subindex: integer  ..  IntegralBasis


integer

   Polynomials over the Integers (MULTIVARIATE POLYNOMIAL RINGS)
   Polynomials over the Integers (UNIVARIATE POLYNOMIAL RINGS)
   RING OF INTEGERS
   Rings, Fields, and Algebras (OVERVIEW)

IntegerRing

   RingOfIntegers(F) : FldFunRat -> RngPol
   IntegerRing(F) : FldFunRat -> RngPol
   IntegerRing(F) : FldPad -> RngPad
   IntegerRing() : Null -> RngInt
   MaximalOrder(F) : FldAlg -> RngOrd
   MaximalOrder(F) : FldQuad -> RngQuad
   MaximalOrder(Q) : FldRat -> RngInt
   ResidueClassRing(m) : RngIntElt -> RngIntRes
   ResidueClassRing(Q) : RngIntEltFact -> RngIntRes

Integers

   RingOfIntegers(F) : FldFunRat -> RngPol
   IntegerRing(F) : FldFunRat -> RngPol
   IntegerRing(F) : FldPad -> RngPad
   IntegerRing() : Null -> RngInt
   MaximalOrder(F) : FldAlg -> RngOrd
   MaximalOrder(F) : FldQuad -> RngQuad
   MaximalOrder(Q) : FldRat -> RngInt
   ResidueClassRing(m) : RngIntElt -> RngIntRes
   ResidueClassRing(Q) : RngIntEltFact -> RngIntRes
   RngInt_Integers (Example H35E2)

IntegerSolutionVariables

   IntegerSolutionVariables(L) : LP -> SeqEnum

IntegerToSequence

   Intseq(n, b) : RngIntElt, RngIntElt -> [RngIntElt]
   IntegerToSequence(n, b) : RngIntElt, RngIntElt -> [RngIntElt]

IntegerToString

   IntegerToString(n) : RngIntElt -> ModStgElt
   IntegerToString(n) : RngIntElt -> MonStgElt
   IntegerToString(n, b) : RngIntElt, RngIntElt -> MonStgElt

Integral

   DawsonIntegral(r) : FldReElt -> FldReElt
   ExponentialIntegral(r) : FldReElt -> FldReElt
   ExponentialIntegralE1(r) : FldReElt -> FldReElt
   Integral(m, a, b) : Map, FldPrElt, FldPrElt -> FldPrElt
   Integral(f, i) : RngMPolElt, RngIntElt -> RngMPolElt
   Integral(s) : RngPowLazElt -> RngPowLazElt
   Integral(f) : RngSerElt -> RngSerElt
   Integral(p) : RngUPolElt -> RngUPolElt
   IntegralBasis(F) : FldAlg -> [ FldAlgElt ]
   IntegralBasis(Q) : FldRat -> [ FldRatElt ]
   IntegralBasis(M) : ModSym -> Lat
   IntegralClosure(R, F) : Rng, FldFun -> RngFunOrd
   IntegralGroup(G) : GrpMat -> GrpMat, AlgMatElt
   IntegralHeckeOperator(M, n) : ModSym, RngIntElt -> AlgMatElt
   IntegralMapping(M) : ModSym -> Map
   IntegralModel(E) : CrvEll -> CrvEll, Map, Map
   IntegralModel(C) : CrvHyp -> CrvHyp, MapIsoSch
   IntegralPoints(E) : CrvEll -> [ PtEll ], [ Tup ]
   IntegralQuarticPoints(Q) : [ RngIntElt ] -> [ SeqEnum ]
   IntegralQuarticPoints(Q, P) : [ RngIntElt ], [ RngIntElt ] -> [ SeqEnum ]
   IntegralSplit(a, O) : FldFunElt, RngFunOrd -> RngFunOrdElt, RngElt
   IntegralSplit(f, X) : FldFunGElt, Sch -> MPolElt, MPolElt
   IntegralSplit(I) : RngFunOrdIdl -> RngFunOrdIdl, RngElt
   IsDomain(R) : Rng -> BoolElt
   IsIntegral(C) : CrvHyp -> BoolElt
   IsIntegral(a) : FldAlgElt -> BoolElt
   IsIntegral(c) : FldPrElt -> BoolElt
   IsIntegral(q) : FldRatElt -> BoolElt
   IsIntegral(L) : Lat -> BoolElt
   IsIntegral(P) : PtEll -> BoolElt
   IsIntegral(I) : RngFunOrdIdl -> BoolElt
   IsIntegral(n) : RngIntElt -> BoolElt
   IsIntegral(I) : RngOrdFracIdl -> BoolElt
   IsIntegral(x) : RngPadElt -> BoolElt
   IsIntegralModel(E) : CrvEll -> BoolElt
   IsIntegralModel(E, p) : CrvEll, RngOrdIdl -> BoolElt
   IspIntegral(C, p) : CrvHyp, RngIntElt -> BoolElt
   LogIntegral(s) : FldPrElt -> FldPrElt
   qIntegralBasis(M, prec : parameters: Al) : ModSym, RngIntElt -> SeqEnum
   FldRe_Integral (Example H40E10)

integral

   Derivative, Integral (MULTIVARIATE POLYNOMIAL RINGS)
   Derivative, Integral (UNIVARIATE POLYNOMIAL RINGS)
   Integral Points (ELLIPTIC CURVES)

integral_points

   Integral and S-integral Points (ELLIPTIC CURVES)
   Integral Points (ELLIPTIC CURVES)
   S-integral Points (ELLIPTIC CURVES)

integral_points-integral

   Integral Points (ELLIPTIC CURVES)

integral_points-sintegral

   S-integral Points (ELLIPTIC CURVES)

IntegralBasis

   IntegralBasis(F) : FldAlg -> [ FldAlgElt ]
   IntegralBasis(Q) : FldRat -> [ FldRatElt ]
   IntegralBasis(M) : ModSym -> Lat
   ModSym_IntegralBasis (Example H94E8)


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