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Subindex: Heegner3  ..  HenselLift


Heegner3

   CrvEll_Heegner3 (Example H102E35)

Heegner4

   CrvEll_Heegner4 (Example H102E36)

Heegner5

   CrvEll_Heegner5 (Example H102E37)

HeegnerDiscriminants

   HeegnerDiscriminants(E,lo,hi) : CrvEll[FldRat], RngIntElt, RngIntElt -> SeqEnum

HeegnerForms

   HeegnerForms(E,D : parameters) : CrvEll[FldRat], RngIntElt -> SeqEnum

HeegnerPoint

   HeegnerPoint(E : parameters) : CrvEll -> BoolElt, PtEll
   HeegnerPoint(C : parameters) : CrvHyp -> BoolElt, PtHyp

HeighestRoots

   GrpLie_HeighestRoots (Example H89E10)
   GrpPermCox_HeighestRoots (Example H87E14)
   RootSys_HeighestRoots (Example H84E12)

Height

   AbsoluteLogarithmicHeight(a) : FldAlgElt -> FldPrElt
   CoefficientHeight(E) : RngOrdElt -> RngIntElt
   CoefficientHeight(I) : RngOrdIdl -> RngIntElt
   Height(P : parameters) : PtEll -> FldPrElt
   Height(P: parameters) : PtEll -> NFldComElt
   Height(P: Precision) : JacHypPt -> FldPrElt
   Height(P) : PtEll -> FldRatElt
   HeightConstant(J: parameters) : JacHyp -> FldPrElt, FldPrElt
   HeightOnAmbient(P) : Pt -> FldReElt
   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
   LocalHeight(P, Pl : parameters) : PtEll, PlcNumElt -> FldPrElt
   LocalHeight(P, Pl) : PtEll, PlcFunElt -> FldPrElt
   LocalHeight(P, p) : PtEll, RngIntElt -> FldComElt
   NaiveHeight(P) : JacHypPt -> FldPrElt
   NaiveHeight(P) : PtEll -> FldPrElt
   NaiveHeight(P) : PtEll -> FldPrElt
   NaiveHeight(P) : PtEll -> FldPrElt
   RootHeight(G, r) : GrpLie, RngIntElt -> RngIntElt
   RootHeight(W, r) : GrpPermCox, RngIntElt -> RngIntElt
   RootHeight(R, r) : RootStr, RngIntElt -> RngIntElt
   RootHeight(R, r) : RootSys, RngIntElt -> RngIntElt

height

   Heights and Height Pairing (ELLIPTIC CURVES)

HeightConstant

   HeightConstant(J: parameters) : JacHyp -> FldPrElt, FldPrElt

HeightOnAmbient

   HeightOnAmbient(P) : Pt -> FldReElt

HeightPairing

   HeightPairing(P, Q: parameters) : PtEll, PtEll -> FldComElt
   HeightPairing(P, Q: Precision) : JacHypPt, JacHypPt -> FldPrElt
   HeightPairing(P, Q) : PtEll[FldFunG], PtEll[FldFunG] -> FldRatElt
   CrvHyp_HeightPairing (Example H106E23)

HeightPairing2

   CrvHyp_HeightPairing2 (Example H106E24)

HeightPairingLattice

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

HeightPairingMatrix

   HeightPairingMatrix(S: parameters) : [PtEll] -> AlgMat
   HeightPairingMatrix(S: Precision) : [JacHypPt] -> AlgMat
   HeightPairingMatrix(S) : SeqEnum[PtEll[FldFunG]] -> AlgMatElt

heights

   Height (SCHEMES)
   Heights (ELLIPTIC CURVES OVER FUNCTION FIELDS)
   Heights (ELLIPTIC CURVES)
   Heights and Regulator (HYPERELLIPTIC CURVES)

Help

   GetHelpExternalBrowser() : -> MonStgElt, MonStgElt
   GetHelpExternalSystem() : -> MonStgElt
   GetHelpUseExternal() : -> BoolElt, BoolElt
   SetHelpExternalBrowser(S, T) : MonStgElt, MonStgElt ->
   SetHelpExternalSystem(s) : MonStgElt ->
   SetHelpUseExternalBrowser(b) : BoolElt ->
   SetHelpUseExternalSystem(b) : BoolElt ->

help

   Internal Help Browser (ENVIRONMENT AND OPTIONS)
   Overview (OVERVIEW)
   The Magma Help System (ENVIRONMENT AND OPTIONS)

HELP_

   MAGMA_HELP_DIR

Hensel

   HenselLift(f, R, k) : RngUPolElt, FldReElt, RngIntElt -> FldReElt
   HenselLift(f, x) : RngUPolElt, RngPadElt -> RngPadElt
   HenselLift(f, s, P) : RngUPolElt, [ RngUPolElt ], RngUPol -> [ RngUPolElt ]
   HenselLift(f, s) : RngUPolElt, [RngUPolElt] -> [RngUPolElt]
   HenselLift(f, L) : RngUPolElt[RngSer], SeqEnum[RngUPolElt] -> [RngUPolElt]
   RngLoc_Hensel (Example H59E17)
   RngPol_Hensel (Example H42E7)

hensel

   Hensel Lifting (UNIVARIATE POLYNOMIAL RINGS)
   Hensel Lifting of Roots (p-ADIC RINGS AND THEIR EXTENSIONS)

hensel-roots

   Hensel Lifting of Roots (p-ADIC RINGS AND THEIR EXTENSIONS)

HenselLift

   HenselLift(f, R, k) : RngUPolElt, FldReElt, RngIntElt -> FldReElt
   HenselLift(f, x) : RngUPolElt, RngPadElt -> RngPadElt
   HenselLift(f, s, P) : RngUPolElt, [ RngUPolElt ], RngUPol -> [ RngUPolElt ]
   HenselLift(f, s) : RngUPolElt, [RngUPolElt] -> [RngUPolElt]
   HenselLift(f, L) : RngUPolElt[RngSer], SeqEnum[RngUPolElt] -> [RngUPolElt]


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