< d, wq, L, T, winding, S, degphi, cplist, f, v, phidat >
d = dimension wq = Atkin-Lehner signs L = odd part of L(A_f, 1)/Omega T = odd part of upper bound on torsion, got using T_2, ..., T_17 winding = odd part of order of (0)-(oo) in A_f(Q) S = odd part of lower bound on the order of Sha(A_f) degphi = odd part of modular degree cplist = odd part of Tamagawa numbers at primes that exactly divide N f = field generated by the Fourier coefficients v = a_2, a_3, a_5, ..., a_997, as vectors NOT on a power basis phidat = defines a map V ---> Q[x]/(f(x)), such that, e.g., v[1] maps to a_2, v[2] maps to a_3, and so on.