Eigenform formula in S2(K(277))+

(Filename: eig-formula-2-277-1.html)

FORMULA for nonlift eigenform f ∈ S2(K(277))+
The eigenform formula is
    f = 15 Borch(ψ) + Σj=110 cj Grit(φj)
where ψ can be found here or here or here, and where the coefficients cj and theta blocks φj are given as follows.
cjφj
−14
TB(2;2,4,4,4,5,6,8,9,10,14)
−16
TB(2;2,3,3,3,5,6,8,9,11,14)
−8
TB(2;2,2,2,4,5,7,9,9,11,13)
12
TB(2;1,4,4,5,5,6,8,9,11,13)
14
TB(2;1,3,3,4,4,7,8,10,11,13)
3
TB(2;1,2,2,3,3,5,7,8,10,17)
15
TB(2;1,1,1,2,2,3,3,4,5,22)
5
TB(2;2,2,2,4,6,6,8,10,11,13)
6
TB(2;1,3,3,4,5,6,8,9,12,13)
0
TB(2;1,2,2,3,4,5,6,7,11,17)

COEFFICIENTS OF f
See here for some Fourier coefficients. Caution: The "unreduced form" data in this other webpage are in the form m, r, n, where the coefficient matrix is half of
 
n r
r m