QEtaModularFormGeneratorsSystem F

qetamodformgens.spad line 163 [edit on github]

• F: with

  maxIndex: () -> PositiveInteger

  qetaGrade: (%, PositiveInteger) -> Integer

QEtaModularFormGeneratorsSysstem(F) is a package that computes from a samba basis and a modular form a corresponding system of equations and inequations from which (when solved) one can extract the respective generators of modular forms.

modularFormSystem: (F, F, List F) -> Record(zmat: Matrix Integer, zrels: Vector Integer, zrhs: Vector Integer, zsgn: List Integer)

modularFormSystem(f,t,bas) computes from the orders of the expansions of the algebra basis and the orders of the respective t and an the orders of a modular form f a system that, if solved, gives the the respective basis for all modular forms.

modularFormSystem: (F, F, List F, Integer) -> Record(zmat: Matrix Integer, zrels: Vector Integer, zrhs: Vector Integer, zsgn: List Integer)

modularFormSystem(f,t,bas,expof) computes from the orders of the expansions of the algebra basis and the orders of the respective t and an the orders of a modular form f a system that, if solved, gives the the respective basis for all modular forms of weight equal to expof*weight(f) where weight(f) means the weight of the respective modular form.