\\apmod_run28.gp \\Compute Hecke eigenvalues for a basis of newforms of \\S_k(Gamma_0(N); Fp). This is really computed using modular symbols \\so in some special cases the computation may fail, e.g., maybe, if p divides \\the discriminant of the Hecke algebra. \\It is also possible, but very unlikely if p>3, that the dimension \\of the modp reduction will go up because of "spurious torsion." \\ Notation: This table is destined to be input into PARI. \\ Unfortunately, PARI doesn't support n-dimensional arrays. \\ Thus for now the output format is \\ apmod_k7p13[N,i] = [g(x), [a2(x), a3(x), a5(x), ...]]. \\ where k=7,p=13 are examples, \\ i is the conjugacy class (in no particular order), \\ g(x) is an irreducible poly over Fp, and the Hecke eigenvalues a2, a3, ... \\ are expressed as polynomials in a fixed root of g(x). \\ William Stein ([email protected]) \\ Fri May 21 23:22:38 1999