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Magma
Computer • algebra
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Invariants
DixmierOhnoInvariants(C) : Crv -> SeqEnum, SeqEnum
Example
CrvG3_dixmierohno-ex (H133E1)
DiscriminantOfTernaryQuartic(f) : RngMPolElt -> Any
Example
CrvG3_discriminant-ex (H133E2)
DiscriminantFromDixmierOhnoInvariants(DO) : SeqEnum -> Any
DixmierOhnoInvariantsEqual(DO1, DO2) : SeqEnum , SeqEnum -> BoolElt
DixmierOhnoAlgebraicRelations(DOinv) : SeqEnum -> SeqEnum
CovariantHessian(Phi) : RngMPolElt -> RngMPolElt
ContravariantSigmaAndPsi(Phi) : RngMPolElt -> RngMPolElt, RngMPolElt
QuarticCovariantsAndContravariants(Phi) : RngMPolElt -> SeqEnum
Creation from Invariants
PlaneQuarticFromDixmierOhnoInvariants(DO) : SeqEnum -> Crv, SeqEnum
Example
CrvG3_reconstruction-ex (H133E3)
Isomorphisms
IsIsomorphicPlaneQuartics(X1, X2) : CrvPln , CrvPln -> BoolElt, SeqEnum
IsomorphismsOfPlaneQuartics(X1, X2) : CrvPln , CrvPln -> SeqEnum
AutomorphismsOfPlaneQuartic(X) : CrvPln -> SeqEnum
AutomorphismGroupOfPlaneQuartic(X) : CrvPln -> GrpPerm, Map
Example
CrvG3_auts-ex (H133E4)
AutomorphismGroupOfPlaneQuartic(X, Autos) : CrvPln , SeqEnum -> GrpPerm, Map
GeometricAutomorphismGroup(C) : Crv -> GrpPerm
Twists
TwistsOfPlaneQuartic(C, Autos) : Crv , SeqEnum -> SeqEnum[Crv], GrpPerm
Twists(C) : Crv -> SeqEnum, GrpPerm
Example
CrvG3_twists-ex (H133E5)
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V2.28, 28 February 2025