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Subindex: FrobeniusAutomorphisms  ..  Function


FrobeniusAutomorphisms

   FrobeniusAutomorphisms(G) : GrpMat -> SeqEnum

FrobeniusForm

   FrobeniusForm(A) : AlgMatElt -> SeqEnum

FrobeniusImage

   FrobeniusImage(A, e) : Mtrx, RngIntElt -> Mtrx
   FrobeniusImage(e) : RngWittElt -> RngWittElt

FrobeniusMap

   FrobeniusMap(E) : CrvEll -> Map
   FrobeniusMap(E, i) : CrvEll, RngIntElt -> Map
   FrobeniusMap(W) : RngWitt -> Map

FrobeniusPolynomial

   FrobeniusPolynomial(A, P) : ModAbVar, RngOrdIdl -> RngUPolElt
   FrobeniusPolynomial(A : parameters) : ModAbVar -> RngUPolElt
   FrobeniusPolynomial(A, p : parameters) : ModAbVar, RngIntElt -> RngUPolElt

FrobeniusTraceDirect

   FrobeniusTraceDirect(E, p) : CrvEll, RngIntElt -> RngIntElt

From

   AdjointLinearSystemFromIdeal(I, d) : RngMPol, RngIntElt -> LinearSys
   CanonicalLinearSystemFromIdeal(I, d) : RngMPol, RngIntElt -> LinearSys
   CharacteristicPolynomialFromTraces(traces) : [ Fld ] -> RngUPolElt
   CharacteristicPolynomialFromTraces(traces, d, q, i) : [ Fld ], RngIntElt, RngIntElt, RngIntElt -> RngUPolElt, RngUPolElt
   ConvertFromManinSymbol(M, x) : ModSym, Tup -> ModSymElt
   CubicFromPoint(E, P) : CrvEll, PtEll -> RngMPolElt, MapSch, Pt
   FromAnalyticJacobian(z, A) : Mtrx, AnHcJac -> SeqEnum
   GSetFromIndexed(G, Y) : GrpPerm, SetIndx -> GSet
   HadamardMatrixFromInteger(x, n) : RngIntElt, RngIntElt -> AlgMatElt
   HyperellipticCurveFromIgusaClebsch(S) : SeqEnum -> CrvHyp
   IsogenyFromKernel(E, psi) : CrvEll, RngUPolElt -> CrvEll, Map
   IsogenyFromKernel(G) : SchGrpEll -> CrvEll, Map
   IsogenyFromKernelFactored(E, psi) : SchGrpEll -> CrvEll, Map
   IsogenyFromKernelFactored(G) : SchGrpEll -> CrvEll, Map
   ProjectionFromNonsingularPoint(X,p) : Sch,Pt -> Sch,MapSch,Sch
   Z4CodeFromBinaryChain(C1, C2) : Code, Code -> Code

from

   Creation from Curve Singularities (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
   Creation from Pencils (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
   Transfer from GrpPC (FINITE SOLUBLE GROUPS)
   Transition Matrices from Monomial Basis (SYMMETRIC FUNCTIONS)
   Transition Matrices from Elementary Basis (SYMMETRIC FUNCTIONS)
   Transition Matrices from Homogeneous Basis (SYMMETRIC FUNCTIONS)
   Transition Matrices from Power Sum Basis (SYMMETRIC FUNCTIONS)
   Transition Matrices from Schur Basis (SYMMETRIC FUNCTIONS)

from-grp-pc

   Transfer from GrpPC (FINITE SOLUBLE GROUPS)

FromAnalyticJacobian

   FromAnalyticJacobian(z, A) : Mtrx, AnHcJac -> SeqEnum

Fromj

   EllipticCurveWithjInvariant(j) : RngElt -> CrvEll
   EllipticCurveFromjInvariant(j) : RngElt -> CrvEll

FSubspace

   BoundedFSubspace(epsilon, k, degrees) : GrpDrchElt, RngIntElt, [RngIntElt] -> [ ModSym ]

FTGeometry

   IsFTGeometry(C) : CosetGeom -> BoolElt
   IsFTGeometry(D) : IncGeom -> BoolElt

Fuchsian

   IsFuchsianOperator(L) : RngDiffOpElt -> BoolElt, SetEnum

Full

   FullCorootLattice(R) : RootDtm -> Lat, Map
   FullRootLattice(R) : RootDtm -> Lat, Map

FullCorootLattice

   FullCorootLattice(R) : RootDtm -> Lat, Map
   FullRootLattice(R) : RootDtm -> Lat, Map

FullRootLattice

   FullCorootLattice(R) : RootDtm -> Lat, Map
   FullRootLattice(R) : RootDtm -> Lat, Map

func

   Function Expressions (OVERVIEW)
   function f(x_1, ..., x_n, ...: parameters) : ->
   function f(x_1, ..., x_n: parameters) : ->

Function

   AlgorithmicFunctionField(F) : FldFunFracSch -> FldFun, Map
   BesselFunction(n, r) : RngIntElt, FldReElt -> FldReElt
   ClassFunctionSpace(G) : Grp -> AlgChtr
   ComplementaryErrorFunction(r) : FldReElt -> FldReElt
   ErrorFunction(r) : FldReElt -> FldReElt
   FaceFunction(F) : NwtnPgonFace -> RngElt
   Function(f) : Map -> UserProgram
   FunctionDegree(f) : MapSch -> RngIntElt
   FunctionField(A) : Aff -> FldFunFracSch
   FunctionField(C) : Crv -> FldFunFracSch
   FunctionField(X) : CrvMod -> FldFun
   FunctionField(D) : DiffFun -> FldFun
   FunctionField(d) : DiffFunElt -> FldFun
   FunctionField(G) : DivFun -> FldFun
   FunctionField(D) : DivFunElt -> FldFun
   FunctionField(f : parameters) : RngMPolElt -> FldFun
   FunctionField(S) : PlcFun -> FldFun
   FunctionField(P) : PlcFunElt -> FldFun
   FunctionField(R) : Rng -> FldFunG
   FunctionField(R) : Rng -> FldFunRat
   FunctionField(R, r) : Rng, RngIntElt -> FldFunRat
   FunctionField(O) : RngFunOrd -> FldFun
   FunctionField(e) : RngWittElt -> FldFun, Map
   FunctionField(A) : Sch -> FldFunFracSch
   FunctionField(C) : Sch -> FldFunG
   FunctionField(S) : [RngUPolElt] -> FldFun
   FunctionFieldPlace(p) : PlcCrvElt -> PlcFunElt
   GrowthFunction(G) : GrpAtc -> FldFunRatElt
   HermitianFunctionField(p, d) : RngIntElt, RngIntElt -> FldFun
   HilbertFunction(p,V) : RngUPolElt, SeqEnum -> UserProgram
   ImplicitFunction(f, d, n) : RngUPolElt, RngIntElt, RngIntElt -> RngSerElt
   IsMaximisingFunction(L) : LP -> BoolElt
   IsRationalFunctionField(F) : FldFunG -> BoolElt
   LPolynomial(C) : Crv[FldFin] -> RngUPolElt
   ObjectiveFunction(L) : LP -> Mtrx
   ProjectiveFunction(f) : FldFunFracSchElt -> FldFracElt
   ProjectiveFunction(f) : FldFunFracSchElt -> RngFunFracElt
   ProjectiveRationalFunction(f) : FldFunFracSchElt -> FldFunRatMElt
   RationalFunction(a) : FldFunGElt -> RngElt
   SetMaximiseFunction(L, m) : LP, BoolElt ->
   SetObjectiveFunction(L, F) : LP, Mtrx ->
   SymmetricFunctionAlgebra(R) : Rng -> AlgSym
   SymmetricFunctionAlgebraElementary(R) : Rng -> AlgSym
   SymmetricFunctionAlgebraHomogeneous(R) : Rng -> AlgSym
   SymmetricFunctionAlgebraMonomial(R) : Rng -> AlgSym
   SymmetricFunctionAlgebraPower(R) : Rng -> AlgSym
   SymmetricFunctionAlgebraSchur(R) : Rng -> AlgSym
   ZetaFunction(E) : CrvEll -> FldFunRatUElt
   ZetaFunction(C) : CrvHyp -> FldFunRatUElt
   ZetaFunction(C, K) : CrvHyp, FldFin -> FldFunRatUElt
   ZetaFunction(F) : FldFun -> FldFunRatUElt
   ZetaFunction(F, m) : FldFun, RngIntElt -> FldFunRatUElt
   ZetaFunction(s) : FldReElt -> FldReElt
   ext< K | f > : FldFunRat, RngUPolElt -> FldFun


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