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Subindex: NumberOfGradings  ..    NumberOfPrimitiveSolubleGroups




NumberOfGradings

   NGrad(X) : Sch -> RngIntElt

   NumberOfGradings(X) : Sch -> RngIntElt


NumberOfGraphs

   NumberOfGraphs(D) : DB -> RngIntElt

   NumberOfGraphs(D, S) : DB, SeqEnum -> RngIntElt


NumberOfGroups

   NumberOfGroups(D) : DB -> RngIntElt

   # D : DB -> RngIntElt

   # D : DB -> RngIntElt

   # D : DB -> RngIntElt

   NumberOfGroups(D, d) : DB, RngIntElt -> RngIntElt

   NumberOfGroups(D, d) : DB, RngIntElt -> RngIntElt

   NumberOfGroups(D, o) : DB, RngIntElt -> RngIntElt

   NumberOfGroups(D, o1, o2): DB, RngIntElt, RngIntElt -> RngIntElt, RngIntElt


NumberOfInclusions

   NumberOfInclusions(e, f) : SubGrpLatElt, SubGrpLatElt -> RngIntElt


NumberOfInvariantForms

   NumberOfInvariantForms(G) : GrpMat -> RngIntElt, RngIntElt


NumberOfIrreducibleMatrixGroups

   NumberOfSolubleIrreducibleMatrixGroups(k, p) : RngIntElt, RngIntElt -> RngIntElt

   NumberOfIrreducibleMatrixGroups(k, p) : RngIntElt, RngIntElt -> RngIntElt


NumberOfIsogenyClasses

   NumberOfIsogenyClasses(D, N) : DB, RngIntElt -> RngIntElt


NumberOfLattices

   NumberOfGroups(D) : DB -> RngIntElt

   NumberOfLattices(D) : DB -> RngIntElt

   # D : DB -> RngIntElt

   # D : DB -> RngIntElt

   # D: DB -> RngIntElt

   NumberOfGroups(D, d) : DB, RngIntElt -> RngIntElt

   NumberOfGroups(D, d) : DB, RngIntElt -> RngIntElt

   NumberOfLattices(D, N): DB, MonStgElt -> RngIntElt

   NumberOfLattices(D, d): DB, RngIntElt -> RngIntElt


NumberOfLines

   # L : PlaneLnSet -> RngIntElt

   NumberOfLines(P) : Plane -> RngIntElt


NumberOfMatrices

   NumberOfMatrices(D, n) : DB, RngIntElt -> RngIntElt


NumberOfMetacyclicPGroups

   NumberOfMetacyclicPGroups (p, n): RngIntElt, RngIntElt -> SeqEnum


NumberOfNewformClasses

   NumberOfNewformClasses(M : parameters) : ModFrm  -> RngIntElt


NumberOfNonZeroEntries

   NNZEntries(A) : Mtrx -> RngIntElt

   NumberOfNonZeroEntries(A) : Mtrx -> RngIntElt

   NumberOfNonZeroEntries(A) : MtrxSprs -> RngIntElt


NumberOfPartitions

   NumberOfPartitions(n) : RngIntElt -> RngIntElt

   NumberOfPartitions(n) : RngIntElt -> RngIntElt


NumberOfPCGenerators

   Ngens(G) : GrpGPC -> RngIntElt

   NumberOfPCGenerators(G) : GrpGPC -> RngIntElt

   NPCgens(G) : GrpGPC -> RngIntElt

   NumberOfGenerators(G) : GrpGPC -> RngIntElt

   NumberOfPCGenerators(G) : GrpPC -> RngIntElt

   NumberOfPCGenerators(P) : Process(pQuot) -> RngIntElt


NumberOfPermutations

   NumberOfPermutations(n, k) : RngIntElt, RngIntElt -> RngIntElt


NumberOfPlacesDegECF

   NumberOfPlacesDegECF(C, m) : Crv[FldFin], RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOverExactConstantField(C, m) : Crv[FldFin], RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt


NumberOfPlacesOfDegreeOne

   NumberOfPlacesOfDegreeOne(m, U) : DivFunElt, GrpAb -> RngIntElt


NumberOfPlacesOfDegreeOneECF

   NumberOfPlacesOfDegreeOneECF(C) : Crv[FldFin] -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(C) : Crv[FldFin] -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(C, m) : Crv[FldFin], RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(F) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(F, m) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt


NumberOfPlacesOfDegreeOneECFBound

   NumberOfPlacesOfDegreeOneOverExactConstantFieldBound(C) : Crv[FldFin] -> RngIntElt

   NumberOfPlacesOfDegreeOneECFBound(C) : Crv -> RngIntElt

   NumberOfPlacesOfDegreeOneECFBound(F) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantFieldBound(F, m) : FldFun, RngIntElt -> RngIntElt


NumberOfPlacesOfDegreeOneOverExactConstantField

   NumberOfPlacesOfDegreeOneECF(C) : Crv[FldFin] -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(C) : Crv[FldFin] -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(C, m) : Crv[FldFin], RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(F) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(F, m) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt


NumberOfPlacesOfDegreeOneOverExactConstantFieldBound

   NumberOfPlacesOfDegreeOneOverExactConstantFieldBound(C) : Crv[FldFin] -> RngIntElt

   NumberOfPlacesOfDegreeOneECFBound(C) : Crv -> RngIntElt

   NumberOfPlacesOfDegreeOneECFBound(F) : FldFun -> RngIntElt

   NumberOfPlacesOfDegreeOneOverExactConstantFieldBound(F, m) : FldFun, RngIntElt -> RngIntElt


NumberOfPlacesOfDegreeOverExactConstantField

   NumberOfPlacesDegECF(C, m) : Crv[FldFin], RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOverExactConstantField(C, m) : Crv[FldFin], RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt

   NumberOfPlacesOfDegreeOverExactConstantField(F, m) : FldFun, RngIntElt -> RngIntElt


NumberOfPoints

   # P : IncPtSet -> RngIntElt

   NumberOfPoints(D) : Inc -> RngInt

   NumberOfPoints(P) : Plane -> RngIntElt


NumberOfPointsAtInfinity

   NumberOfPointsAtInfinity(C) : CrvHyp -> RngIntElt


NumberOfPointsOnSurface

   NumberOfPointsOnSurface(E, e) : CrvEll, RngIntElt -> RngIntElt


NumberOfPositiveRoots

   NumPosRoots(C) : AlgMatElt -> RngIntElt

   NumberOfPositiveRoots(C) : AlgMatElt -> RngIntElt

   NumberOfPositiveRoots(W) : GrpFPCox -> RngIntElt

   NumberOfPositiveRoots(G) : GrpLie -> RngIntElt

   NumberOfPositiveRoots(W) : GrpMat -> RngIntElt

   NumberOfPositiveRoots(W) : GrpPermCox -> RngIntElt

   NumberOfPositiveRoots(N) : MonStgElt -> .

   NumberOfPositiveRoots(R) : RootStr -> RngIntElt

   NumberOfPositiveRoots(R) : RootSys -> RngIntElt


NumberOfPrimePolynomials

   NumberOfPrimePolynomials(q, d) : RngIntElt, RngIntElt -> RngIntElt


NumberOfPrimitiveAffineGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt


NumberOfPrimitiveAlmostSimpleGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt


NumberOfPrimitiveDiagonalGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt


NumberOfPrimitiveGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt


NumberOfPrimitiveProductGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt


NumberOfPrimitiveSolubleGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt

   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt




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