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Characteristic polynomials of Tp on S8(Gamma 0(N))

This is a table of characteristic polynomials of Hecke operators Tp on the space of weight 8 cusp forms for Gamma0(N). It extends the published table of X. Wang, ``The Hecke algebra on the cohomology of Gamma0(p),'' Nagoya Math. J., 121 (1991), 97-125. It was computed using the modular symbols algorithm described in Merel's, ``Universal Fourier expansions of modular forms'' in SLNM 1585 (1994).

1<N<100,   2< p <97