[____] [____] [_____] [____] [__] [Index] [Root]
Subindex: points-blocks .. Polynomial
Design_points-blocks (Example H104E2)
Points on the Jacobian (HYPERELLIPTIC CURVES)
Plane_points-lines (Example H105E2)
Creation of Points (HYPERELLIPTIC CURVES)
RationalPoints(J, P) : JacHyp, SrfKumPt -> SetIndx
Points on the Kummer Surface (HYPERELLIPTIC CURVES)
PointsAtInfinity(C) : Crv -> SetEnum
PointsAtInfinity(C) : CrvHyp -> SetIndx
PointsAtInfinity(C) : CrvHyp -> SetIndx
PointsAtInfinity(H) : SetPtEll -> @ PtEll @
PointSet(E, m) : CrvEll, Map -> SetPtEll
E(m) : CrvEll, Map -> SetPtEll
E(L) : CrvEll, Rng -> SetPtEll
PointSet(D) : Inc -> IncPtSet
PointSet(P) : Plane -> PlanePtSet
X(L) : Sch,Rng -> SetPt
Associated Structures (ELLIPTIC CURVES)
Creation of Point Sets (ELLIPTIC CURVES)
Operations on Point Sets (ELLIPTIC CURVES)
Predicates on Point Sets (ELLIPTIC CURVES)
Associated Structures (ELLIPTIC CURVES)
PointSet(E, m) : CrvEll, Map -> SetPtEll
Creation of Point Sets (ELLIPTIC CURVES)
Predicates on Point Sets (ELLIPTIC CURVES)
CrvEll_PointSets (Example H91E13)
PointsKnown(C) : CrvHyp -> BoolElt
PointsOverSplittingField(Z) : Clstr -> SetEnum
Newton_pol-is (Example H60E7)
ComplexToPolar(c) : FldComElt -> FldReElt, FldReElt
PolarToComplex(m, a) : FldReElt, FldReElt -> FldComElt
PolarToComplex(m, a) : FldReElt, FldReElt -> FldComElt
Poles(F, a) : FldFun, FldFunGElt -> [PlcFunElt]
Poles(a) : FldFunElt -> SeqEnum[PlcFunElt]
Poles(a) : FldFunElt -> [ PlcFunElt ]
Zeros(C,f) : Crv, FldFunElt -> SeqEnum
PollardRho(n) : RngIntElt -> RngIntEltFact, [ RngIntElt ]
PollardRho(n) : RngIntElt -> RngIntEltFact, [ RngIntElt ]
PolyMapKernel(f) : Map -> RngMPol
Operations on Polynomials which use Newton Polygons (NEWTON POLYGONS)
RngLoc_Poly-Hensel (Example H61E19)
Operations on Polynomials which use Newton Polygons (NEWTON POLYGONS)
Newton_poly-ops-ex (Example H60E6)
PolycyclicGroup< X | R > : List(Identifiers), List(GrpFPRel) -> GrpPC, Hom
AbelianGroup< X | R > : List(Identifiers), List(GrpAbRel) -> GrpAb, Hom(GrpAb)
Group< X | R > : List(Identifiers), List(GrpFPRel) -> GrpFP, Hom(Grp)
PolycyclicGenerators(G) : GrpMat -> [ GrpPCElt ]
PolycyclicGroup< x_1, ..., x_n | R : parameters > : List(Identifiers), List(GrpFPRel) -> GrpGPC, Map
PolycyclicGroup< x_1, ..., x_n | R : parameters > : List(Identifiers), List(GrpFPRel) -> GrpPC, Map
Introduction (POLYCYCLIC GROUPS)
POLYCYCLIC GROUPS
Polycyclic Groups and Polycyclic Presentations (POLYCYCLIC GROUPS)
Polycyclic Groups and Polycyclic Presentations (POLYCYCLIC GROUPS)
Introduction (POLYCYCLIC GROUPS)
PolycyclicGenerators(G) : GrpMat -> [ GrpPCElt ]
PolycyclicGroup< X | R > : List(Identifiers), List(GrpFPRel) -> GrpPC, Hom
AbelianGroup< X | R > : List(Identifiers), List(GrpAbRel) -> GrpAb, Hom(GrpAb)
Group< X | R > : List(Identifiers), List(GrpFPRel) -> GrpFP, Hom(Grp)
PolycyclicGroup< x_1, ..., x_n | R : parameters > : List(Identifiers), List(GrpFPRel) -> GrpGPC, Map
PolycyclicGroup< x_1, ..., x_n | R : parameters > : List(Identifiers), List(GrpFPRel) -> GrpPC, Map
GrpGPC_PolycyclicGroup (Example H28E2)
GrpPC_PolycyclicGroup (Example H19E2)
Grp_PolycyclicGroup (Example H16E4)
IsPolygon(G) : Grph -> BoolElt
NewtonPolygon(C) : Crv -> NwtnPgon
NewtonPolygon(f) : RngMPolElt -> NwtnPgon
NewtonPolygon(f) : RngUPolElt -> NwtnPgon
NewtonPolygon(f) : RngUPolElt -> NwtnPgon
NewtonPolygon(f, p) : RngUPolElt, RngOrdIdl -> NwtnPgon
NewtonPolygon(V) : SeqEnum -> NwtnPgon
PolygonGraph(p: parameters) : RngIntElt -> GrphUnd
NEWTON POLYGONS
PolygonGraph(p: parameters) : RngIntElt -> GrphUnd
DisplayPolygons(P,file) : SeqEnum, MonStgElt ->
Polylog(m, s) : FldPrElt -> FldPrElt
Polylog(m, f) : RngIntElt, RngSerElt -> RngSerElt
PolylogD(m, s) : FldPrElt -> FldPrElt
PolylogDold(m, s) : FldPrElt -> FldPrElt
PolylogP(m, s) : FldPrElt -> FldPrElt
PolylogD(m, s) : FldPrElt -> FldPrElt
PolylogDold(m, s) : FldPrElt -> FldPrElt
PolylogP(m, s) : FldPrElt -> FldPrElt
PolylogD(m, s) : FldPrElt -> FldPrElt
PolylogDold(m, s) : FldPrElt -> FldPrElt
PolylogP(m, s) : FldPrElt -> FldPrElt
PolylogD(m, s) : FldPrElt -> FldPrElt
PolyMapKernel(f) : Map -> RngMPol
AbsoluteCharacteristicPolynomial(a) : FldAlgElt -> RngUPolElt
AbsoluteMinimalPolynomial(a) : FldAlgElt -> RngUPolElt
AbsolutePolynomial(A) : FldAC ->
AtkinModularPolynomial(N) : RngIntElt -> RngMPolElt
BerlekampMassey(S) : SeqEnum -> RngUPolElt, RngIntElt
BernoulliPolynomial(n) : RngIntElt -> RngUPolElt
BernoulliPolynomial(n) : RngIntElt -> RngUPolElt
CanonicalModularPolynomial(N) : RngIntElt -> RngMPolElt
CharacteristicPolynomial(x) : AlgQuatElt -> RngUPolElt
CharacteristicPolynomial(a) : FldAlgElt -> RngUPolElt
CharacteristicPolynomial(a) : FldFinElt -> RngUPolElt
CharacteristicPolynomial(a, E) : FldFinElt, FldFin -> RngUPolElt
CharacteristicPolynomial(G) : GrphUnd -> RngUPolElt
CharacteristicPolynomial(a: parameters) : AlgMatElt -> RngUPolElt
CharacteristicPolynomial(g: parameters) : GrpMatElt -> RngPolElt
CharacteristicPolynomial(A: parameters) : Mtrx -> RngUPolElt
CheckPolynomial(C) : Code -> RngUPolElt
ChromaticPolynomial(G) : GrphUnd -> RngUPolElt
ClassicalModularPolynomial(N) : RngIntElt -> RngMPolElt
ConwayPolynomial(p, n) : RngIntElt, RngIntElt -> RngUPolElt
CyclotomicPolynomial(m) : RngIntElt -> RngUPolElt
DefiningPolynomial(C) : Crv -> RngMPolElt
DefiningPolynomial(E) : CrvEll -> RngMPolElt
DefiningPolynomial(F) : FldAlg -> RngUPolElt
DefiningPolynomial(F) : FldFin -> RngPolElt
DefiningPolynomial(F, E) : FldFin -> RngPolElt
DefiningPolynomial(F) : FldFun -> RngUPolElt
DefiningPolynomial(Q) : FldRat -> RngUPolElt
DefiningPolynomial(L) : RngPad -> RngUPolElt
DefiningPolynomial(C) : Sch -> RngMPolElt
DefiningPolynomial(C) : Sch -> RngMPolElt
DefiningPolynomial(X) : Sch -> RngMPolElt
DefiningPolynomial(K) : SrfKum -> RngMPolElt
DefiningSubschemePolynomial(G) : SchGrpEll -> RngUPolElt
DivisionPolynomial(E, n) : CrvEll, RngIntElt -> RngUPolElt, RngUPolElt, RngUPolElt
ElementarySymmetricPolynomial(P, k) : RngMPol, RngIntElt -> RngMPolElt
ElementarySymmetricPolynomial(P, k) : RngMPol, RngIntElt -> RngMPolElt
EvaluatePolynomial(C, a, b, c) : CrvHyp, RngElt, RngElt, RngElt -> RngElt
ExistsConwayPolynomial(p, n) : RngIntElt, RngIntElt -> BoolElt, RngUPolElt
FactoredCharacteristicPolynomial(A: parameters) : Mtrx -> [ <RngUPolElt, RngIntElt>]
FactoredMinimalPolynomial(A: parameter) : Mtrx -> [ <RngUPolElt, RngIntElt>]
GegenbauerPolynomial(n, m) : RngIntElt, RngElt ->RngUPolElt
GeneratorPolynomial(C) : Code -> RngUPolElt
HasPolynomial(N) : NwtnPgon -> BoolElt
HasPolynomialFactorization(R) : Rng -> BoolElt
HeckePolynomial(M, n) : ModSym, RngIntElt -> RngUPolResElt
HeckePolynomial(M, n : parameters ) : ModFrm, RngIntElt -> RngUPolElt
HermitePolynomial(n) : RngIntElt -> RngUPolElt
HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt
HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt
HilbertPolynomial(M) : RngMPol -> RngUPolElt, RngIntElt
IrreduciblePolynomial(F, m) : FldFin, RngIntElt -> RngPolElt
IsProbablyPermutationPolynomial(p) : RngUPolElt -> BoolElt
IsRegular(f) : MapSch -> BoolElt
KrawchoukPolynomial(K, n, k) : FldFin, RngIntElt, RngIntElt -> RngUPolElt
LaguerrePolynomial(n) : RngIntElt -> RngUPolElt
LegendrePolynomial(C) : CrvCon -> RngMPolElt, ModMatRngElt
LegendrePolynomial(n) : RngIntElt -> RngUPolElt
MinimalPolynomial(a) : AlgGenElt -> RngUPolElt
MinimalPolynomial(a) : AlgMatElt -> RngUPolElt
MinimalPolynomial(x) : AlgQuatElt -> RngUPolElt
MinimalPolynomial(a) : FldACElt -> RngPolElt
MinimalPolynomial(a) : FldAlgElt -> RngUPolElt
MinimalPolynomial(a) : FldFinElt -> RngPolElt
MinimalPolynomial(a, E) : FldFinElt, FldFin -> RngPolElt
MinimalPolynomial(q) : FldRatElt -> RngUPolElt
MinimalPolynomial(g) : GrpMatElt -> RngPolElt
MinimalPolynomial(A: parameter) : Mtrx -> RngUPolElt
MinimalPolynomial(n) : RngIntElt -> RngUPolElt
MinimalPolynomial(f) : RngMPolResElt -> RngUPol
MinimalPolynomial(x) : RngPadElt -> RngUPolElt
MinimalPolynomial(x, R) : RngPadElt, RngPad -> RngUPolElt
MultivariatePolynomial(P, f, i) : RngMPol, RngUPolElt, RngIntElt -> RngMPolElt
Polynomial(N) : NwtnPgon -> RngElt
Polynomial(R, f) : Rng, RngUPolElt -> RngUPolElt
Polynomial(R, Q) : Rng, [ RngElt] -> RngUPolElt
Polynomial(Q) : [ RngElt ] -> RngUPolElt
PolynomialAlgebra(R) : Rng -> RngUPol
PolynomialCoefficient(s, i) : RngPowLazElt, RngIntElt -> RngPowLazElt
PolynomialMap(L) : LinSys -> RngMPolElt
PolynomialRing(R, n) : Rng, RngIntElt -> RngMPol
PolynomialRing(R, n) : Rng, RngIntElt -> RngMPol
PolynomialRing(R, n, order) : Rng, RngIntElt, MonStgElt, ... -> RngMPol
PolynomialRing(R, n, order) : Rng, RngIntElt, MonStgElt, ... -> RngMPol
PolynomialRing(R, n, order) : Rng, RngIntElt, MonStgElt, ... -> RngMPol
PolynomialRing(R, Q) : Rng, [ RngIntElt ] -> RngMPol
PolynomialRing(R) : RngInvar -> RngMPol
PolynomialSieve(F, m, J0, J1, MaxAlpha) : RngMPolElt, RngIntElt, RngIntElt, RngIntElt, FldPrElt -> List
PrimitivePolynomial(F, m) : FldFin, RngIntElt -> RngPolElt
RandomPrimePolynomial(R, d) : RngUPol, RngIntElt -> RngUPolElt
ReducedLegendrePolynomial(C) : CrvCon -> RngMPolElt, ModMatRngElt
SwinnertonDyerPolynomial(n) : RngIntElt -> RngUPolElt
TwoTorsionPolynomial(E) : CrvEll -> RngMPolElt
UnivariatePolynomial(f) : RngMPolElt -> RngUPolElt
WeberClassPolynomial(D) : RngIntElt -> RngUPolElt
WeberClassPolynomial(D) : RngIntElt -> RngUPolElt
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