QEtaModularFormGenerators4ti2 FΒΆ
qetamodformgens.spad line 204 [edit on github]
- F: with - *: (%, %) -> % - ^: (%, NonNegativeInteger) -> % - maxIndex: () -> PositiveInteger - qetaGrade: (%, PositiveInteger) -> Integer 
QEtaModularFormGenerators4ti2(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.
- modularFormGenerators: (F, F, List F) -> List List F
- modularFormGenerators(f,t,bas)returns a the generators of the modular forms in two lists [- li,- lh] such that any modular form is a linear combination of the form $c*i + sum_{- hin- lh} ch*h$ for some constant coefficients- cand- chand any- ifrom- li.
- modularFormGenerators: (F, F, List F, Integer) -> List F
- modularFormGenerators(f,t,bas,expof)returns a the generators of the modular forms of weight equal to expof*weight(- f).
- modularFormSolutions: (F, F, List F) -> Record(zinhom: List Vector Integer, zhom: List Vector Integer, zfree: List Vector Integer)
- modularFormSystem( - f,- t,bas) computes from the orders of the expansions of the algebra basis and the orders of the respective- tand an the orders of a modular form- fa system and solves it via 4ti2- 'szsolve.
- modularFormSolutions: (F, F, List F, Integer) -> Record(zinhom: List Vector Integer, zhom: List Vector Integer, zfree: List Vector Integer)
- modularFormSystem( - f,- t,bas,expof) computes from the orders of the expansions of the algebra basis and the orders of the respective- tand an the orders of a modular form- fa systemand solves it via 4ti2- 'szsolve.