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Subindex: P  ..    PairReduceGram




P

   d.eef P g : RngIntElt, RngIntElt, RngIntElt -> FldReElt

   d.eef p g : RngIntElt, RngIntElt, RngIntElt -> FldReElt

   d.e E fpg : RngIntElt, RngIntElt, RngIntElt -> FldReElt

   d.e e fpg : RngIntElt, RngIntElt, RngIntElt -> FldReElt

   d . eefpg : RngIntElt, RngIntElt, RngIntElt -> FldReElt

   PolylogD(m, s) : RngIntElt, FldComElt -> FldComElt


p

   Counting p-groups (FINITE p-GROUPS)

   Creation of Point Singularities (HILBERT SERIES OF POLARISED VARIETIES)

   FINITE p-GROUPS

   Generating p-groups (FINITE p-GROUPS)

   Group algebras of p-groups (BASIC ALGEBRAS)

   p-group Functions (MATRIX GROUPS OVER GENERAL RINGS)

   p-Quotient (FINITELY PRESENTED GROUPS)

   p-Quotients (Process Version) (FINITELY PRESENTED GROUPS: ADVANCED)

   d . eefpg : RngIntElt, RngIntElt, RngIntElt -> FldReElt


p-group

   Counting p-groups (FINITE p-GROUPS)

   Generating p-groups (FINITE p-GROUPS)

   p-group Functions (MATRIX GROUPS OVER GENERAL RINGS)


p-groups

   FINITE p-GROUPS

   Group algebras of p-groups (BASIC ALGEBRAS)


P-key

   P


p-key

   p


p-Quotient

   p-Quotient (FINITELY PRESENTED GROUPS)

   p-Quotients (Process Version) (FINITELY PRESENTED GROUPS: ADVANCED)


p-sing

   Creation of Point Singularities (HILBERT SERIES OF POLARISED VARIETIES)


P3

   EmbedPlaneCurveInP3(C) : Crv -> Sch, MapSch


p7

   GrpPGp_p7 (Example H23E7)


p_sylow_creation

   Construction of p-Sylow Subgroups (GENERIC ABELIAN GROUPS)


package

   FUNCTIONS, PROCEDURES AND PACKAGES

   Packages (FUNCTIONS, PROCEDURES AND PACKAGES)


PackageUserAttributes

   Func_PackageUserAttributes (Example H2E15)


Packing

   SpherePackingBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt


Pad

   PadCode(C, n) : Code, RngIntElt -> Code

   PadCode(C, n) : Code, RngIntElt -> Code

   PadCode(C, n) : CodeAdd, RngIntElt -> CodeAdd


PadCode

   PadCode(C, n) : Code, RngIntElt -> Code

   PadCode(C, n) : Code, RngIntElt -> Code

   PadCode(C, n) : CodeAdd, RngIntElt -> CodeAdd


pAdic

   PrimeField(L) : FldPad -> FldPad

   pAdicRing(L) : RngPad -> RngPad

   pAdicField(L) : FldPad -> FldPad

   PrimeRing(L) : RngPad -> RngPad

   pAdicEllipticLogarithm(P, p: parameters): PtEll, RngIntElt -> FldLocElt

   pAdicEmbeddings(f, p) : ModFrmElt, RngIntElt -> List

   pAdicQuotientRing(p, k) : RngIntElt, RngIntElt -> RngPadRes

   pAdicRing(p) : RngIntElt -> RngPad

   pAdicRing(p, k) : RngIntElt, RngIntElt -> RngPad


pAdicEllipticLogarithm

   pAdicEllipticLogarithm(P, p: parameters): PtEll, RngIntElt -> FldLocElt


pAdicEmbeddings

   pAdicEmbeddings(f, p) : ModFrmElt, RngIntElt -> List


pAdicField

   PrimeField(L) : FldPad -> FldPad

   pAdicRing(L) : RngPad -> RngPad

   pAdicField(L) : FldPad -> FldPad

   PrimeRing(L) : RngPad -> RngPad

   pAdicRing(p) : RngIntElt -> RngPad

   pAdicRing(p, k) : RngIntElt, RngIntElt -> RngPad


pAdicQuotientRing

   pAdicQuotientRing(p, k) : RngIntElt, RngIntElt -> RngPadRes


pAdicRing

   PrimeField(L) : FldPad -> FldPad

   pAdicRing(L) : RngPad -> RngPad

   pAdicField(L) : FldPad -> FldPad

   PrimeRing(L) : RngPad -> RngPad

   pAdicRing(p) : RngIntElt -> RngPad

   pAdicRing(p, k) : RngIntElt, RngIntElt -> RngPad


Pair

   ExtraspecialPair(R,r) : RootDtm, RngIntElt -> SeqEnum

   PairReduce(L) : Lat -> Lat, AlgMatElt

   PairReduce(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt

   PairReduceGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt


pair

   Pair Reduction (LATTICES)


pair-reduce

   Pair Reduction (LATTICES)


Pairing

   HeightPairing(P, Q: parameters) : PtEll, PtEll -> FldComElt

   HeightPairing(P, Q: Precision) : JacHypPt, JacHypPt -> FldPrElt

   HeightPairing(P, Q) : PtEll[FldFunG], PtEll[FldFunG] -> FldRatElt

   HeightPairingLattice(S: parameters) : [PtEll[FldFunG]]  -> AlgMatElt, Map

   HeightPairingMatrix(S: parameters) : [PtEll]  -> AlgMat

   HeightPairingMatrix(S: Precision) : [JacHypPt] -> AlgMat

   HeightPairingMatrix(S) : SeqEnum[PtEll[FldFunG]] -> AlgMatElt

   IntersectionPairing(A) : ModAbVar ->  AlgMatElt

   IntersectionPairing(H) : ModAbVarHomol ->  AlgMatElt

   IntersectionPairing(x, y) : ModSymElt, ModSymElt -> FldRatElt

   IntersectionPairingIntegral(A) : ModAbVar ->  AlgMatElt

   MonodromyPairing(P, Q) : ModSSElt, ModSSElt -> RngIntElt

   TateLichtenbaumPairing(D1, D2, m) : DivFunElt, DivFunElt, RngIntElt -> RngElt

   WeilPairing(P, Q, m) : JacHypPt, JacHypPt, RngIntElt -> RngElt

   WeilPairing(P, Q, n) : PtEll, PtEll, RngIntElt -> RngElt

   WeilPairing(P, Q, n) : PtEll, PtEll, RngIntElt -> RngElt


pairing

   The Monodromy Pairing (SUPERSINGULAR DIVISORS ON MODULAR CURVES)


PairReduce

   PairReduce(L) : Lat -> Lat, AlgMatElt

   PairReduce(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt


PairReduceGram

   PairReduceGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt




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