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Subindex: curve .. Cycle
Combinatorial and Geometrical Structures (OVERVIEW)
Creation from Curve Singularities (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
Creation of a Modular Curve (MODULAR CURVES)
Creation of an Elliptic Curve (ELLIPTIC CURVES)
Curves (PLANE ALGEBRAIC CURVES)
ELLIPTIC CURVES
HYPERELLIPTIC CURVES
Local Geometry (PLANE ALGEBRAIC CURVES)
PLANE ALGEBRAIC CURVES
Crv_curve-base-change (Example H88E2)
Crv_curve-differentials (Example H88E14)
Crv_curve-hessian (Example H88E3)
Crv_curve-iscusp (Example H88E4)
Creation from Invariants (HYPERELLIPTIC CURVES)
CurveDivisor(D) : DivFunElt -> DivCrvElt
Div ! D : DivCrv, DivFunElt -> DivCrvElt
CrvHyp_CurveFromIgusa (Example H92E5)
Genus and Singularities (PLANE ALGEBRAIC CURVES)
Global Geometry (PLANE ALGEBRAIC CURVES)
CurvePlace(P) : PlcFunElt -> PlcCrvElt
S ! P : PlcCrv, PlcFunElt -> PlcCrvElt
NumberOfCurves(D) : DB -> RngIntElt
# D : DB -> RngIntElt
EllipticCurves(D) : DB -> [ CrvEll ]
EllipticCurves(D, S) : DB, MonStgElt -> [ CrvEll ]
EllipticCurves(D, N) : DB, RngIntElt -> [ CrvEll ]
EllipticCurves(D, N, I) : DB, RngIntElt, RngIntElt -> [ CrvEll ]
NumberOfCurves(D, N) : DB, RngIntElt -> RngIntElt
NumberOfCurves(D, N, i) : DB, RngIntElt, RngIntElt -> RngIntElt
Base Change (PLANE ALGEBRAIC CURVES)
Basic Attributes (PLANE ALGEBRAIC CURVES)
Basic Invariants (PLANE ALGEBRAIC CURVES)
Creation (PLANE ALGEBRAIC CURVES)
Elliptic Curves (MODULAR SYMBOLS)
MODULAR CURVES
Plane Curves (PLANE ALGEBRAIC CURVES)
SUPERSINGULAR DIVISORS ON MODULAR CURVES
Basic Attributes (PLANE ALGEBRAIC CURVES)
Base Change (PLANE ALGEBRAIC CURVES)
Creation (PLANE ALGEBRAIC CURVES)
Scheme_curves-in-space (Example H87E46)
Basic Invariants (PLANE ALGEBRAIC CURVES)
CuspWidth(G,x) : GrpPSL2, SetCspElt -> RngIntElt
DimensionCuspForms(eps, k) : GrpDrchElt, RngIntElt -> RngIntElt
DimensionCuspFormsGamma0(N, k) : RngIntElt, RngIntElt -> RngIntElt
DimensionCuspFormsGamma1(N, k) : RngIntElt, RngIntElt -> RngIntElt
DimensionNewCuspFormsGamma0(N, k) : RngIntElt, RngIntElt -> RngIntElt
DimensionNewCuspFormsGamma1(N, k) : RngIntElt, RngIntElt -> RngIntElt
IsCusp(p) : Crv,Pt -> BoolElt
IsCusp(z) : SpcHypElt -> BoolElt
GrpPSL2_cusp-example (Example H33E5)
CuspidalSubspace(M) : ModBrdt -> ModBrdt
CuspidalSubspace(M) : ModFrm -> ModFrm
CuspidalSubspace(M) : ModSS -> ModSS
CuspidalSubspace(M) : ModSym -> ModSym
IsCuspidal(M) : ModBrdt -> BoolElt
IsCuspidal(M) : ModFrm -> BoolElt
IsCuspidal(M) : ModSym -> BoolElt
ModSym_CuspidalSubgroup (Example H94E21)
ModSym_CuspidalSubgroupTable (Example H94E22)
CuspidalSubspace(M) : ModBrdt -> ModBrdt
CuspidalSubspace(M) : ModFrm -> ModFrm
CuspidalSubspace(M) : ModSS -> ModSS
CuspidalSubspace(M) : ModSym -> ModSym
Cusps(G) : GrpPSL2 -> SeqEnum
Cusps(FS) : SymFry -> SeqEnum
UpperHalfPlaneWithCusps() : -> SpcHyp
Cusps and elliptic points of congruence subgroups (SUBGROUPS OF PSL_2(R))
Cusps and elliptic points of congruence subgroups (SUBGROUPS OF PSL_2(R))
CuspWidth(G,x) : GrpPSL2, SetCspElt -> RngIntElt
CutVertices(G) : Grph -> { GrphVert }
MinimumCut(s, t) : GrphVert, GrphVert -> SeqEnum, RngIntElt
MinimumCut(Ss, Ts) : [ GrphVert ], [ GrphVert ] -> SeqEnum, RngIntElt
CutVertices(G) : Grph -> { GrphVert }
Magma and CWI NFS interoperability (RING OF INTEGERS)
ConvertToCWIFormat(P, pb) : NFSProc, RngIntElt -> .;
FindRelationsInCWIFormat(P) : NFSProc -> RngIntElt
CreateCycleFile(P) : NFSProc -> .
Cycle(e, x) : GrpPermElt, Elt -> SetIndx
Cycle(~u: parameters) : GrpBrdElt ->
Cycle(u: parameters) : GrpBrdElt -> GrpBrdElt
CycleCount(fn) : MonStgElt -> RngIntElt
CycleCount(P) : NFSProc -> RngIntElt
CycleDecomposition(e) : GrpPermElt -> SeqEnum[SetIndx]
CycleStructure(g) : GrpPermElt -> [ <RngIntElt, RngIntElt> ]
GirthCycle(G) : GrphUnd -> [GrphVert]
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