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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])2pi*I) return F

but the results show that phi(oo,0)+phi(0,a)=-phi(oo,a) where a is the cubic root of units in the upper half plane. Should it be phi(oo,0)+phi(0,a)=phi(oo,a) ? what is the reason?

the integral of modular forms

I compute the integral of modular forms using the pari command in sagemath as follows.

def phi(s,t): 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])2pi*I)
    [s,t])*2*pi*I)
return F

F

but the results show that phi(oo,0)+phi(0,a)=-phi(oo,a) where a is the cubic root of units in the upper half plane. Should it be phi(oo,0)+phi(0,a)=phi(oo,a) ? what is the reason?

the integral of modular forms

I compute the integral of modular forms using using the pari PARI command in sagemath SageMath as follows.

def phi(s,t):

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)
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) phi(oo,0)+phi(0,a)=-phi(oo,a) where a a is the cubic root of units unity in the upper half plane. plane.

Should it be phi(oo,0)+phi(0,a)=phi(oo,a) phi(oo,0)+phi(0,a)=phi(oo,a)? what What is the reason?

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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?