the integral of modular forms
I compute the integral of modular forms using the PARI command in SageMath as follows.
def phi(s, t):
mf = pari.mfinit([27, 2], 0)
f = pari.mfeigenbasis(mf)[0]
symb = pari.mfsymbol(mf, f)
F = pari.mfsymboleval(symb, [s,t]) * 2 * pi * I
return F
but the results show that phi(oo,0)+phi(0,a)=-phi(oo,a)
where a
is the cubic root of unity in the upper half plane.
Should it be phi(oo,0)+phi(0,a)=phi(oo,a)
? What is the reason?
This is more suitable for pari-users maillist: https://pari.math.u-bordeaux.fr/lists...