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Subindex: Eigenforms  ..  Element


Eigenforms

   Eigenforms(M) : ModFrmHil -> List

eigenforms

   Eigenspace Decomposition and Eigenforms (HILBERT MODULAR FORMS)

Eigenspace

   Eigenspace(A, e) : AlgMatElt, FldElt -> ModTup
   Eigenspace(a, e) : AlgMatElt, FldElt -> ModTup
   Eigenspace(p) : GRPtS -> RngIntElt

Eigenspaces

   CommonEigenspaces(A) : AlgMat -> [**], [[FldElt]]
   CommonEigenspaces(Q) : [AlgMatElt] -> [**], [[FldElt]]

Eigenvalue

   HeckeEigenvalue(f, p) : ModBrdtElt, RngElt -> RngElt
   HeckeEigenvalue(f, P) : ModFrmHilElt, RngOrdIdl -> FldAlgElt
   HeckeEigenvalueBound(M, P) : ModFrmHil, RngOrdIdl -> RngIntElt
   HeckeEigenvalueField(M) : ModFrmHil -> Fld
   HeckeEigenvalueField(M) : ModSym -> Fld, Map
   HeckeEigenvalueRing(M : parameters) : ModSym -> Rng, Map

Eigenvalues

   Eigenvalues(a) : AlgMatElt -> { <FldElt, RngIntElt> }
   Eigenvalues(A) : Mtrx -> { <FldElt, RngIntElt> }
   SystemOfEigenvalues(M, prec) : ModSym, RngIntElt -> SeqEnum

Eigenvectors

   NumericalEigenvectors(M, e) : Mtrx, FldComElt -> SeqEnum
   QuaternionOrder(M) : ModBrdt -> AlgQuatOrd

Eight

   EightDescent(C : parameters) : CrvEll -> [ Crv ], [ MapSch ]

eight

   Eight-Descent (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)

eight-descent

   Eight-Descent (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)

EightDescent

   EightDescent(C : parameters) : CrvEll -> [ Crv ], [ MapSch ]

Eisenstein

   Eisenstein(k, t) : RngIntElt, FldComElt -> FldComElt
   Eisenstein(k, F) : RngIntElt, QuadBinElt -> RngSerElt
   Eisenstein(k, f) : RngIntElt, QuadBinElt -> RngSerElt
   Eisenstein(k, z) : RngIntElt, RngSerElt -> RngSerElt
   Eisenstein(k, L) : RngIntElt, SeqEnum -> FldComElt
   EisensteinData(f) : ModFrmElt -> Tup
   EisensteinProjection(f) : ModFrmElt -> ModFrmElt
   EisensteinSeries(M) : ModFrm -> List
   EisensteinSubspace(M) : ModBrdt -> ModBrdt
   EisensteinSubspace(M) : ModFrm -> ModFrm
   EisensteinSubspace(M) : ModSS -> ModSS
   EisensteinSubspace(M) : ModSym -> ModSym
   EisensteinTwo(E, p) : CrvEll, RngIntElt -> FldPadElt
   IsEisenstein(M) : ModBrdt -> BoolElt
   IsEisenstein(M) : ModFrm -> BoolElt
   IsEisenstein(M) : ModSym -> BoolElt
   IsEisenstein(f) : RngUPolElt -> BoolElt
   IsEisensteinSeries(f) : ModFrmElt -> BoolElt
   IsEisensteinSeries(f) : ModFrmElt -> BoolElt
   FldRe_Eisenstein (Example H25E7)
   FldRe_Eisenstein (Example H25E8)

eisenstein

   Eisenstein Series (MODULAR FORMS)
   Eisenstein Series (REAL AND COMPLEX FIELDS)

eisenstein-series

   Eisenstein Series (MODULAR FORMS)

EisensteinData

   EisensteinData(f) : ModFrmElt -> Tup

EisensteinProjection

   CuspidalProjection(f) : ModFrmElt -> ModFrmElt
   EisensteinProjection(f) : ModFrmElt -> ModFrmElt

EisensteinSeries

   EisensteinSeries(M) : ModFrm -> List
   ModFrm_EisensteinSeries (Example H132E14)

EisensteinSubspace

   EisensteinSubspace(M) : ModBrdt -> ModBrdt
   EisensteinSubspace(M) : ModFrm -> ModFrm
   EisensteinSubspace(M) : ModSS -> ModSS
   EisensteinSubspace(M) : ModSym -> ModSym

EisensteinTwo

   EisensteinTwo(E, p) : CrvEll, RngIntElt -> FldPadElt

el

   Elementary Operations (FINITE PLANES)

el-creation

   AlgGrp_el-creation (Example H84E2)

el-ops

   Elementary Operations (FINITE PLANES)

el_creation_map

   RngLoc_el_creation_map (Example H47E4)

el_creation_padic

   RngLoc_el_creation_padic (Example H47E1)

el_creation_ram

   RngLoc_el_creation_ram (Example H47E3)

el_creation_unram

   RngLoc_el_creation_unram (Example H47E2)

elem

   Elementary Invariants and Predicates for Multigraphs (MULTIGRAPHS)
   Transition Matrices from Elementary Basis (SYMMETRIC FUNCTIONS)

Element

   Creation of Elements (BRANDT MODULES)
   Operations on Elements (BRANDT MODULES)
   N ! x : Nfd, FldFinElt -> NfdElt
   R . 1 : RngSer, RngInt -> RngSerElt
   AlternatingElementToWord (G, g) : Grp, GrpElt -> BoolElt, GrpSLPElt
   AlternatingElementToWord (G, g) : Grp, GrpElt -> BoolElt, GrpSLPElt
   BaseElement(P) : GrpBrdClassProc -> GrpBrdElt
   BasisElement(I, i) : AlgFr, RngIntElt -> AlgFrElt
   BasisElement(A, i) : AlgGen, RngIntElt -> AlgGenElt
   BasisElement(A, i) : AlgLie, RngIntElt -> AlgLieElt
   BasisElement(R, i) : AlgMat, RngIntElt -> AlgMatElt
   BasisElement(M, i) : ModMPol, RngIntElt -> RngMPolElt
   BasisElement(V, i) : ModTupFld, RngIntElt -> ModTupFldElt
   BasisElement(I, i) : RngMPol, RngIntElt -> RngMPolElt
   BasisElement(I, i) : RngMPolLoc, RngIntElt -> RngMPolLocElt
   ClassicalElementToWord(G, g): GrpMat[FldFin], GrpMatElt[FldFin] -> BoolElt, GrpSLPElt
   Coefficients(f) : RngSerElt -> [ RngElt ], RngIntElt, RngIntElt
   Coefficients(e) : RngSerExtElt -> [ RngElt ]
   Coefficients(p) : RngUPolElt -> [ RngElt ]
   CohomologyElementToChainMap(P, d, n) : ModCpx ,RngIntElt, RngIntElt -> MapChn
   CohomologyElementToCompactChainMap(PR, d, n): Rec, RngIntElt, RngIntElt -> ModMatFldElt
   CompositionTreeElementToWord(G, g) : Grp, GrpElt -> BoolElt, GrpSLPElt
   CoordinatesToElement(L, C) : Lat, [ RngIntElt ] -> LatElt
   CoxeterElement(W) : GrpFPCox -> SeqEnum
   CoxeterElement(G) : GrpLie -> GrpPermElt
   CoxeterElement(W) : GrpMat -> SeqEnum
   Element(x) : ModAbVarElt -> ModTupFldElt
   ElementSequence(G) : GrpPC -> SeqEnum
   ElementSet(G, H) : GrpPerm, GrpPerm -> { GrpPermElt }
   ElementToSequence(x) : AlgAssVOrdElt -> SeqEnum
   ElementToSequence(a) : AlgGenElt -> SeqEnum
   ElementToSequence(a) : AlgGrpElt -> SeqEnum
   ElementToSequence(a) : AlgLieElt -> SeqEnum
   ElementToSequence(a) : AlgMatElt -> [ RngElt ]
   ElementToSequence(x) : AlgQuatElt -> SeqEnum
   ElementToSequence(s) : BStgElt -> [ BStgElt ]
   ElementToSequence(a) : FldAlgElt -> [ FldAlgElt ]
   ElementToSequence(a) : FldFinElt -> [ FldFinElt ]
   ElementToSequence(a, E) : FldFinElt, FldFin -> [ FldFinElt ]
   ElementToSequence(a) : FldFunElt -> SeqEnum[FldElt]
   ElementToSequence(a) : FldNumElt -> [ FldNumElt ]
   ElementToSequence(a) : FldRatElt -> [FldRatElt]
   ElementToSequence(chi) : GrpDrchElt -> SeqEnum
   ElementToSequence(w) : GrpFPElt -> [ RngIntElt ]
   ElementToSequence(x) : GrpGPCElt -> [RngIntElt]
   ElementToSequence(g) : GrpMatElt -> [ RngElt ]
   ElementToSequence(x) : GrpPCElt -> [RngIntElt]
   ElementToSequence(g) : GrpPermElt -> [ Elt ]
   ElementToSequence(u) : GrpRWSElt -> [ RngIntElt ]
   ElementToSequence(u) : GrpRWSElt -> [ RngIntElt ]
   ElementToSequence(v) : LatElt -> [ RngElt ]
   ElementToSequence(a) : ModDedElt -> SeqEnum
   ElementToSequence(u) : ModRngElt -> [RngElt]
   ElementToSequence(u) : ModTupFldElt -> [RngElt]
   ElementToSequence(u) : ModTupRngElt -> [RngElt]
   ElementToSequence(w) : MonOrdElt -> SeqEnum
   ElementToSequence(u) : MonRWSElt -> [ RngIntElt ]
   ElementToSequence(s) : MonStgElt -> [ MonStgElt ]
   ElementToSequence(A) : Mtrx -> [ <RngIntElt, RngIntElt, RngElt> ]
   ElementToSequence(A) : Mtrx -> [ RngElt ]
   ElementToSequence(x) : NfdElt) -> SeqEnum
   ElementToSequence(l) : PlaneLn -> [ FldFinElt ]
   ElementToSequence(p) : PlanePt -> [ FldFinElt ]
   ElementToSequence(P): PtEll -> [ RngElt ]
   ElementToSequence(a) : RngGalElt -> [ RngIntResElt ]
   ElementToSequence(x) : RngPadElt -> [ RngElt ]
   ElementToSequence(u) : SgpFPElt -> [ SgpFPElt ]
   ElementType(S) : Str -> Cat
   Eltseq(P) : PtHyp -> SeqEnum
   Eltseq(P) : PtHyp -> SeqEnum, RngIntElt
   Eltseq(f) : QuadBinElt -> SeqEnum[RngIntElt]
   Eltseq(f) : RngIntEltFact -> SeqEnum
   Eltseq(a) : RngOrdResElt -> []
   Eltseq(P) : SrfKumPt -> SeqEnum
   FrobeniusElement(K, p) : FldNum, RngIntElt -> GrpPermElt
   FundamentalElement(B: parameters) : GrpBrd -> GrpBrdElt
   GetElementPrintFormat(B) : GrpBrd -> MonStgElt
   HeegnerTorsionElement(E) : CrvEll[FldRat], RngIntElt -> PtEll
   InertialElement(L) : RngLocA -> RngLocAElt
   LargeReeElementToWord(G, g) : GrpMat, GrpMatElt -> BoolElt, GrpSLPElt
   LatticeElementToMonomial(D,v) : DivTorElt,TorLatElt -> RngMPolElt
   LocalUniformizer(P) : PlcFunElt -> FldFunGElt
   LongestElement(W) : GrpFPCox -> SeqEnum
   LongestElement(W) : GrpMat -> SeqEnum
   MatrixOfElement(CM, g) : ModCoho, GrpElt -> AlgMatElt
   MinimalElementConjugatingToPositive(x, s: parameters) : GrpBrdElt, GrpBrdElt -> GrpBrdElt
   MinimalElementConjugatingToSuperSummit(x, s: parameters) : GrpBrdElt, GrpBrdElt -> GrpBrdElt
   MinimalElementConjugatingToUltraSummit(x, s: parameters) : GrpBrdElt, GrpBrdElt -> GrpBrdElt
   NextElement(~P) : GrpBrdClassProc ->
   NextElement(~P) : GrpFPHomsProc ->
   NonNilpotentElement(L) : AlgLie -> AlgLieElt
   NormalElement(F) : FldFin -> FldFinElt
   NormalElement(F, E) : FldFin, FldFin -> FldFinElt
   PhiModuleElement(x,D) : AlgMatElt, PhiMod -> PhiModElt
   PrimitiveElement(F) : FldFin -> FldFinElt
   PrimitiveElement(K) : FldNum -> FldNumElt
   PrimitiveElement(K) : FldNum -> FldNumElt
   PrimitiveElement(O) : RngFunOrd -> RngFunOrdElt
   PrimitiveElement(R) : RngIntRes -> RngIntResElt
   PrimitiveElement(O) : RngOrd -> RngOrdElt
   PrimitiveElement(I) : RngOrdIdl -> RngOrdElt
   QuantumBasisElement(F) : FldFin -> FldFinElt
   RandomElementOfNormalClosure(G, N): Grp -> GrpElt
   RandomElementOfOrder(G, n : parameters) : GrpMat, RngIntElt-> BoolElt, GrpMatElt, GrpSLPElt, BoolElt
   ReeElementToWord(G, g) : GrpMat, GrpMatElt -> BoolElt, GrpSLPElt
   RelativeRootElement(G,delta,t) : GrpLie, RngIntElt, [FldElt] -> GrpLieElt
   Representation(g) : GrpAbGenElt -> [RngIntElt]
   SL2ElementToWord(G, g) : GrpMat, GrpMatElt -> BoolElt, GrpSLPElt
   SL3ElementToWord (G, g) : GrpMat, GrpMatElt -> BoolElt, GrpSLPElt
   SeparatingElement(F) : FldFunG -> FldFunGElt
   SeparatingElement(F) : RngDiff -> RngDiffElt
   SequenceToElement(s, F) : [ FldFinElt ] -> FldFinElt
   SetElementPrintFormat(~B, s) : GrpBrd, MonStgElt ->
   SetPrimitiveElement(F, x) : FldFin, FldFinElt ->
   SymmetricElementToWord (G, g) : Grp, GrpElt -> BoolElt, GrpSLPElt
   SymmetricElementToWord (G, g) : Grp, GrpElt -> BoolElt, GrpSLPElt
   SzElementToWord(G, g) : GrpMat, GrpMatElt -> BoolElt, GrpSLPElt
   ThreeSelmerElement(E, C) : CrvEll, RngMPolElt -> Tup
   TwistedWindingElement(M, i, eps) : ModSym, RngIntElt, GrpDrchElt -> ModSymElt
   TwoElement(I) : RngFunOrdIdl -> RngElt, RngElt
   TwoElement(I) : RngOrdFracIdl -> FldOrdElt, FldOrdElt
   TwoElementNormal(I) : RngInt -> RngIntElt, RngIntElt
   TwoElementNormal(I) : RngOrdIdl -> RngOrdElt, RngOrdElt, RngIntElt
   UnderlyingElement(u) : GrpBBElt -> GrpElt
   UniformizingElement(P) : PlcNumElt -> FldNumElt
   UniformizingElement(P) : PlcNumElt -> FldNumElt
   UniformizingElement(L) : RngLocA -> RngLocAElt
   UniformizingElement(L) : RngPad -> RngPadElt
   UniformizingElement(L) : RngPad -> RngPadElt
   UniformizingElement(E) : RngSerExt -> RngSerExtElt
   WindingElement(M) : ModSym -> ModSymElt
   WindingElement(M, i) : ModSym, RngIntElt -> ModSymElt
   WordToSequence(u: parameters) : GrpBrdElt -> SeqEnum
   aInvariants(E) : CrvEll -> [ RngElt ]

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