\\apmod_run28.gp1\\Compute Hecke eigenvalues for a basis of newforms of2\\S_k(Gamma_0(N); Fp). This is really computed using modular symbols3\\so in some special cases the computation may fail, e.g., maybe, if p divides4\\the discriminant of the Hecke algebra.5\\It is also possible, but very unlikely if p>3, that the dimension6\\of the modp reduction will go up because of "spurious torsion."78\\ Notation: This table is destined to be input into PARI.9\\ Unfortunately, PARI doesn't support n-dimensional arrays.10\\ Thus for now the output format is11\\ apmod_k7p13[N,i] = [g(x), [a2(x), a3(x), a5(x), ...]].12\\ where k=7,p=13 are examples,13\\ i is the conjugacy class (in no particular order),14\\ g(x) is an irreducible poly over Fp, and the Hecke eigenvalues a2, a3, ...15\\ are expressed as polynomials in a fixed root of g(x).1617\\ William Stein ([email protected])18\\ Fri May 21 23:22:38 199919202122