Introduction
Categories
Verbose Output
Creation Functions
Ambient Spaces SupersingularModule(p,N : parameters) : RngIntElt, RngInt -> ModSS SupersingularModule(p) : RngIntElt -> ModForm Example ModSS_Creation-Spaces (H115E1)
Elements M . i : ModSS, RngIntElt -> ModSSElt M ! x : ModSS, . -> ModSSElt Example ModSS_Creation-Elements (H115E2)
Subspaces CuspidalSubspace(M) : ModSS -> ModSS EisensteinSubspace(M) : ModSS -> ModSS OrthogonalComplement(M) : ModSS -> ModSS Kernel(I, M) : [Tup], ModSS -> ModSS Decomposition(M, n) : ModSS -> [ModSS] Example ModSS_Creation-Subspaces (H115E3)
Basis Basis(M) : ModSS -> SeqEnum
Properties AuxiliaryLevel(M) : ModSS -> RngIntElt BaseRing(M) : ModSS -> Rng Degree(P) : ModSSElt -> RngElt Dimension(M) : ModSS -> RngIntElt Eltseq(P) : ModSSElt -> SeqEnum Level(M) : ModSS -> RngIntElt ModularEquation(M) : ModSS -> RngMPolElt Prime(M) : ModSS -> RngIntElt Example ModSS_Properties (H115E4)
Associated Spaces BrandtModule(M) : ModSS -> ModBrdt ModularSymbols(M : parameters) : ModSS -> ModSym ModularSymbols(M, sign : parameters) : ModSS, RngIntElt -> ModSym RSpace(M) : ModSS -> ModTupRng, Map Example ModSS_Associated (H115E5)
Predicates IsAmbientSpace(M) : ModSS -> BoolElt M1 eq M2 : ModSS, ModSS -> BoolElt P eq Q : ModSSElt, ModSSElt -> BoolElt M1 subset M2 : ModSS, ModSS -> BoolElt UsesBrandt(M) : ModSS -> BoolElt UsesMestre(M) : ModSS -> BoolElt Example ModSS_Predicates (H115E6)
Arithmetic M1 + M2 : ModSS, ModSS -> ModSS M1 meet M2 : ModSS, ModSS -> ModSS Example ModSS_Arithmetic (H115E7)
Operators HeckeOperator(M, n) : ModSS, RngIntElt -> AlgMatElt AtkinLehnerOperator(M, q) : ModSS, RngIntElt -> AlgMatElt Example ModSS_Operators (H115E8)
The Monodromy Pairing MonodromyPairing(P, Q) : ModSSElt, ModSSElt -> RngIntElt MonodromyWeights(M) : ModSS -> SeqEnum
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