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 | 1 | initial version |
PARI/GP has very advanced functionalities to deal with modular forms (any weight, \Gamma_0(N) and any character), see the documentation at https://pari.math.u-bordeaux.fr/dochtml/html/Modular_forms.html
For evaluating Eisenstein series, you can do
sage: mf = pari.mfinit([1,4],3) # Eisenstein series weight 4 for SL(2,Z)
sage: f = pari.mfbasis(mf)[0] # dimension is one so this is the unique Eisenstein series
sage: pari.mfeval(mf, f, I)
0.00606567871778629| | 2 | No.2 Revision |
PARI/GP has very advanced functionalities to deal with modular forms (any weight, (\Gamma_0(N) , any weight and any character), see the documentation at https://pari.math.u-bordeaux.fr/dochtml/html/Modular_forms.html
For evaluating Eisenstein series, you can do
sage: mf = pari.mfinit([1,4],3) # Eisenstein series weight 4 for SL(2,Z)
sage: f = pari.mfbasis(mf)[0] # dimension is one so this is the unique Eisenstein series
sage: pari.mfeval(mf, f, I)
0.00606567871778629