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Subindex: ModelToString  ..  Modular


ModelToString

   ModelToString(model) : ModelG1 -> MonStgElt
   Eltseq(model) : ModelG1 -> [ RngElt ]

ModelType

   ModelType(X) : CrvMod -> MonStgElt

Modexp

   Modexp(a, k, m) : RngFunOrdElt, RngIntElt, RngUPolElt -> RngFunOrdElt
   Modexp(n, k, m) : RngIntElt, RngIntElt, RngIntElt -> RngIntElt
   Modexp(a, n, m) : RngOrdElt, RngIntElt, RngIntElt -> RngOrdElt
   Modexp(a, e, n) : RngQuadElt, RngInt, RngQuadElt -> RngQuadElt
   Modexp(f, n, g) : RngUPolElt, RngIntElt, RngUPolElt -> RngUPolElt

modification

   Access and Modification Functions (RECORDS)
   Accessing and Modifying Sets (SETS)
   Changing the Alphabet of a Code (LINEAR CODES OVER FINITE FIELDS)
   Changing the Coefficient Field (VECTOR SPACES)
   Changing the Coefficient Ring (FREE MODULES)
   Elementary Tietze Transformations (FINITELY PRESENTED SEMIGROUPS)
   Modifying a Base and Strong Generating Set (PERMUTATION GROUPS)
   Modifying Enumerated Sequences (SEQUENCES)
   Modifying Sets (SETS)
   Modifying the Universe of a Set or Sequence (INTRODUCTION TO AGGREGATES [SETS, SEQUENCES, AND MAPPINGS])

modification-alphabet

   Changing the Alphabet of a Code (LINEAR CODES OVER FINITE FIELDS)

modification-coefficient-field

   KSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map
   KMatrixSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map
   KModule(V, F) : ModTupFld, Fld -> ModTupFld, Map
   Changing the Coefficient Field (VECTOR SPACES)

modification-coefficient-ring

   Changing the Coefficient Ring (FREE MODULES)

modification-Tietze

   Elementary Tietze Transformations (FINITELY PRESENTED SEMIGROUPS)

modifications

   Modifying Resolution Graphs (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)

Modify

   ModifySelfintersection(~v,n) : GrphResVert,RngIntElt ->
   ModifyTransverseIntersection(~v,n) : GrphResVert,RngIntElt ->

modify presentation

   AlgBas_modify presentation (Example H85E9)

modifying

   Modifying Presentations (FINITELY PRESENTED GROUPS: ADVANCED)

modifying-presentations

   Modifying Presentations (FINITELY PRESENTED GROUPS: ADVANCED)

ModifySelfintersection

   ModifySelfintersection(~v,n) : GrphResVert,RngIntElt ->

ModifyTransverseIntersection

   ModifyTransverseIntersection(~v,n) : GrphResVert,RngIntElt ->

Modinv

   Modinv(E, M) : RngOrdElt, RngOrdIdl -> RngOrdElt
   InverseMod(E, M) : RngOrdElt, RngIntElt -> RngOrdElt
   Modinv(a, m) : RngFunOrdElt, RngFunOrdIdl -> RngFunOrdElt
   Modinv(n, m) : RngIntElt, RngIntElt -> RngIntElt

Modorder

   Modorder(n, m) : RngIntElt, RngIntElt -> RngIntElt

mods

   Minimal Models (ALGEBRAIC SURFACES)
   Modifiers (ALGEBRAIC POWER SERIES RINGS)

Modsqrt

   Modsqrt(n, m) : RngIntElt, RngIntElt -> BoolElt, RngIntElt

Modular

   AtkinModularPolynomial(N) : RngIntElt -> RngMPolElt
   CanonicalModularPolynomial(N) : RngIntElt -> RngMPolElt
   ClassicalModularPolynomial(N) : RngIntElt -> RngMPolElt
   CommonModularStructure(X) : [ModAbVar] -> List, List
   DefiningModularSymbolsSpace(pi) : RepLoc -> ModSym
   ExistsModularCurveDatabase(t) : MonStgElt -> BoolElt
   IsAttachedToModularSymbols(A) : ModAbVar -> BoolElt
   IsAttachedToModularSymbols(H) : ModAbVarHomol -> BoolElt
   IsInSmallModularCurveDatabase(N) : RngIntElt -> Boolelt
   IsModularCurve(X) : Sch -> BoolElt
   IsRingOfAllModularForms(M) : ModFrm -> BoolElt
   ModularAbelianVariety(E) : CrvEll -> ModAbVar
   ModularAbelianVariety(L) : ModAbVarLSer -> ModAbVar
   ModularAbelianVariety(f) : ModFrmElt -> ModAbVar
   ModularAbelianVariety(M) : ModSym -> ModAbVar
   ModularAbelianVariety(eps : parameters) : GrpDrchElt -> ModAbVar
   ModularAbelianVariety(M : parameters) : ModFrm -> ModAbVar
   ModularAbelianVariety(s : parameters) : MonStgElt -> ModAbVar
   ModularAbelianVariety(X : parameters) : [ModFrm] -> ModAbVar
   ModularAbelianVariety(X) : [ModSym] -> ModAbVar
   ModularCurve(D, N) : DB, RngIntElt -> CrvMod
   ModularCurve(X,t,N) : Sch, MonStgElt, RngIntElt -> CrvMod
   ModularCurveDatabase(t) : MonStgElt -> DB
   ModularCurveQuotient(N,A) : RngIntElt, [RngIntElt] -> Crv
   ModularDegree(E) : CrvEll -> RngIntElt
   ModularDegree(A) : ModAbVar -> RngIntElt
   ModularDegree(M) : ModSym -> RngIntElt
   ModularEmbedding(A) : ModAbVar -> MapModAbVar
   ModularEquation(M) : ModSS -> RngMPolElt
   ModularForm(E) : CrvEll -> ModFrm
   ModularForm(E) : CrvEll -> ModFrmElt
   ModularForms(G) : -> ModFrm
   ModularForms(G, k) : -> ModFrm
   ModularForms(eps, k) : GrpDrchElt, RngIntElt -> ModFrm
   ModularForms(N) : RngIntElt -> ModFrm
   ModularForms(N, k) : RngIntElt, RngIntElt -> ModFrm
   ModularForms(chars, k) : [GrpDrchElt], RngIntElt -> ModFrm
   ModularHyperellipticCurve(B) : [ModSym] -> BoolElt, RngUPol
   ModularHyperellipticCurve(F) : [RngSerPowElt] -> BoolElt, RngUPol
   ModularKernel(M) : ModSym -> GrpAb
   ModularNonHyperellipticCurveGenus3(F) : [RngSerPowElt] -> BoolElt, RngMPolElt
   ModularParameterization(A) : ModAbVar -> MapModAbVar
   ModularParametrization(E, z, B : parameters) : CrvEll[FldRat], FldComElt, RngIntElt -> FldComElt
   ModularPolarization(A) : ModAbVar -> MapModAbVar
   ModularSolution(A, M) : MtrxSprs, RngIntElt -> ModTupRng
   ModularSymbolToIntegralHomology(A, x) : ModAbVar, SeqEnum -> ModTupFldElt
   ModularSymbolToRationalHomology(A, x) : ModAbVar, ModSymElt -> ModTupFldElt
   ModularSymbols(E) : CrvEll -> ModSym
   ModularSymbols(eps, k) : GrpDrchElt, RngIntElt -> ModSym
   ModularSymbols(eps, k, sign) : GrpDrchElt, RngIntElt, RngIntElt -> ModSym
   ModularSymbols(A) : ModAbVar -> SeqEnum
   ModularSymbols(H) : ModAbVarHomol -> SeqEnum
   ModularSymbols(M) : ModFrm -> SeqEnum
   ModularSymbols(M, sign) : ModFrm, RngIntElt -> ModSym
   ModularSymbols(M, N') : ModSym, RngIntElt -> ModSym
   ModularSymbols(s, sign) : MonStgElt, RngIntElt -> ModSym
   ModularSymbols(M : parameters) : ModSS -> ModSym
   ModularSymbols(M, sign : parameters) : ModSS, RngIntElt -> ModSym
   ModularSymbols(N) : RngIntElt -> ModSym
   ModularSymbols(N, k) : RngIntElt, RngIntElt -> ModSym
   ModularSymbols(N, k, F) : RngIntElt, RngIntElt, Fld -> ModSym
   ModularSymbols(N, k, F, sign) : RngIntElt, RngIntElt, Fld, RngIntElt -> ModSym
   ModularSymbols(N, k, sign) : RngIntElt, RngIntElt, RngIntElt -> ModSym
   NewModularHyperellipticCurve(B) : [ModSym] -> BoolElt, RngUPol
   NewModularHyperellipticCurve(F) : [RngSerPowElt] -> BoolElt, RngUPol
   NewModularHyperellipticCurves(N, g) : RngIntElt, RngIntElt -> SeqEnum
   NewModularNonHyperellipticCurveGenus3(B) : [ModSym] -> BoolElt, RngMPolElt
   NewModularNonHyperellipticCurveGenus3(F) : [RngSerPowElt] -> BoolElt, RngMPolElt
   NewModularNonHyperellipticCurvesGenus3(N) : RngIntElt, RngIntElt -> SeqEnum
   SmallModularCurve(N) : RngIntElt -> Crv
   ThetaSeriesModularForm(L) : Lat -> ModFrmElt
   ThetaSeriesModularFormSpace(L) : Lat -> ModFrm
   ZeroModularAbelianVariety() : -> ModAbVar
   ZeroModularAbelianVariety(k) : RngIntElt -> ModAbVar
   GrpFP_1_Modular (Example H70E7)

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Version: V2.19 of Mon Dec 17 14:40:36 EST 2012