Documentation

hilbert-class-field
- FldAb_hilbert-class-field (Example H41E6)
hilbert-groebner
- Hilbert-driven Gröbner Basis Construction (GRÖBNER BASES)
hilbert-modular-forms
- HILBERT MODULAR FORMS
hilbert-space
- Hilbert Spaces (QUANTUM CODES)
hilbert-symbols
- Hilbert Symbols and Embeddings (QUATERNION ALGEBRAS)
Hilbert90
- AdditiveHilbert90(a, q) : FldFinElt, RngIntElt -> FldFinElt
- Hilbert90(a, q) : FldFinElt, RngIntElt -> FldFinElt
- Hilbert90(a, M) : FldNumElt, Map[FldNum, FldNum] -> FldNumElt
Hilbert_Symbols
- AlgQuat_Hilbert_Symbols (Example H93E12)
HilbertBasis
- ZGenerators(C) : TorCon -> SeqEnum
- HilbertBasis(C) : TorCon -> SeqEnum
HilbertCharacterSubgroup
- HilbertCharacterSubgroup(G) : GrpHecke -> GrpHecke
HilbertClassField
- HilbertClassField(K) : FldAlg -> FldAb
- HilbertClassField(K, p) : FldFun, PlcFunElt -> FldFunAb
HilbertClassPolynomial
- HilbertClassPolynomial(D) : RngIntElt -> RngUPolElt
HilbertCoefficient
- HilbertCoefficient(D,i) : DivTor,RngIntElt -> RngIntElt
HilbertCoefficients
- HilbertCoefficients(D,l) : DivTor,RngIntElt -> [RngIntElt]
HilbertCuspForms
- HilbertCuspForms(F, N, k) : FldNum, RngOrdIdl, SeqEnum -> ModFrmHil
HilbertDeltaVector
- HilbertDeltaVector(D) : DivTor -> [RngIntElt]
HilbertDenominator
- HilbertDenominator(M) : ModMPol -> RngUPol
- HilbertDenominator(I) : RngMPol -> RngUPol
HilbertFunction
- HilbertFunction(p,V) : RngUPolElt, SeqEnum -> UserProgram
HilbertGroebner
- GB_HilbertGroebner (Example H112E14)
HilbertGroebnerBasis
- HilbertGroebnerBasis(S, H) : [ RngMPolElt ], FldFunRatUElt -> BoolElt, [ RngMPolElt ]
HilbertIdeal
- HilbertIdeal(R) : RngInvar -> RngMPol
HilbertIrreducibilityCurves
- HilbertIrreducibilityCurves(f) : RngUPolElt -> SetEnum, SeqEnum
HilbertNumerator
- HilbertNumerator(g, D) : FldFunRatUElt, SeqEnum -> FldFunRatUElt
- HilbertNumerator(X) : GRSch -> RngUPolElt
- HilbertNumerator(M) : ModMPol -> RngUPolElt, RngIntElt
- HilbertNumerator(I) : RngMPol -> RngUPol
HilbertPolynomial
- HilbertPolynomial(D) : DivTor -> [RngUPolElt]
- HilbertPolynomial(I) : ModMPol -> RngUPolElt, RngIntElt
- HilbertPolynomial(I) : RngMPol -> RngUPolElt, RngIntElt
HilbertPolynomialOfCurve
- HilbertPolynomialOfCurve(g,m) : RngIntElt,RngIntElt -> RngUPolElt
HilbertSeries
- R`HilbertSeries
- HilbertSeries(D) : DivTor -> FldFunRatUElt
- HilbertSeries(X) : GRSch -> FldFunRatUElt
- HilbertSeries(M) : ModMPol -> FldFunElt
- HilbertSeries(M, p) : ModMPol, RngIntElt -> RngSerLaurElt
- HilbertSeries(R) : RngInvar -> FldFunUElt
- HilbertSeries(I) : RngMPol -> FldFunUElt
- HilbertSeries(I, p) : RngMPol, RngIntElt -> RngSerLaurElt
- HilbertSeries(p,V) : RngUPolElt, SeqEnum -> FldFunRatUElt
HilbertSeriesApproximation
- HilbertSeriesApproximation(R, n) : RngInvar, RngIntElt -> RngSerLaurElt
HilbertSeriesBetti
- PMod_HilbertSeriesBetti (Example H116E12)
HilbertSeriesMultipliedByMinimalDenominator
- HilbertSeriesMultipliedByMinimalDenominator(p,V) : RngUPolElt, SeqEnum -> RngUPolElt, SeqEnum
HilbertSpace
- HilbertSpace(F, n) : FldCom, RngIntElt -> HilbSpc
HilbertSpaceCreate
- QECC_HilbertSpaceCreate (Example H167E29)
HilbertSymbol
- HilbertSymbol(a, b, p) : FldRatElt, FldRatElt, RngIntElt -> RngIntElt
- HilbertSymbol(a, b, p : parameters) : FldRatElt, FldRatElt, RngIntElt -> RngIntElt
Hirsch
- HirschNumber(G) : GrpGPC -> RngIntElt
- HirschNumber (G) : GrpMat -> RngIntElt
hirsch_rank
- Hirsch Number and Pr{üfer Rank (MATRIX GROUPS OVER INFINITE FIELDS)
HirschNumber
- HirschNumber(G) : GrpGPC -> RngIntElt
- HirschNumber (G) : GrpMat -> RngIntElt
Hirzebruch
- HJContinuedFraction(r) : FldRatElt -> [ RngIntElt ]
- HirzebruchJungContinuedFraction(r) : FldRatElt -> [ RngIntElt ]
- HirzebruchJungContinuedFractionValue(C) : [ RngIntElt ] -> FldRatElt
- HirzebruchSurface(k,n) : Fld, RngIntElt -> TorVar
HirzebruchJungContinuedFraction
- HJContinuedFraction(r) : FldRatElt -> [ RngIntElt ]
- HirzebruchJungContinuedFraction(r) : FldRatElt -> [ RngIntElt ]
HirzebruchJungContinuedFractionValue
- HJContinuedFractionValue(C) : [ RngIntElt ] -> FldRatElt
- HirzebruchJungContinuedFractionValue(C) : [ RngIntElt ] -> FldRatElt
HirzebruchSurface
- HirzebruchSurface(k,n) : Fld, RngIntElt -> TorVar
History
- GetHistorySize() : ->
- SetHistorySize(n) : RngIntElt ->
history
- History (ENVIRONMENT AND OPTIONS)
HJContinued
- HJContinuedFraction(r) : FldRatElt -> [ RngIntElt ]
- HirzebruchJungContinuedFraction(r) : FldRatElt -> [ RngIntElt ]
- HirzebruchJungContinuedFractionValue(C) : [ RngIntElt ] -> FldRatElt
HJContinuedFraction
- HJContinuedFraction(r) : FldRatElt -> [ RngIntElt ]
- HirzebruchJungContinuedFraction(r) : FldRatElt -> [ RngIntElt ]
HJContinuedFractionValue
- HJContinuedFractionValue(C) : [ RngIntElt ] -> FldRatElt
- HirzebruchJungContinuedFractionValue(C) : [ RngIntElt ] -> FldRatElt
HKZ
- HKZ(L) : Lat -> Lat, AlgMatElt
- HKZ(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt
- Lat_HKZ (Example H31E10)
hkz
- HKZ Reduction (LATTICES)
HKZGram
- HKZGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt
hm
- AlgSym_hm (Example H155E21)
hmf
- Caching Spaces of Modular Forms (HILBERT MODULAR FORMS)
- Definitions and Background (HILBERT MODULAR FORMS)
hmf-caching
- Caching Spaces of Modular Forms (HILBERT MODULAR FORMS)

V2.28, 28 February 2025

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