Characteristic Polynomials of T_p on S₂(Gamma₀(N))

This is a table of characteristic polynomials of Hecke operators T_p, for p<97, on the space of weight 2 cusp forms for Gamma₀(N).

Table 1: N<1000

1 < N < 100	charpoly_s2_1-100.gp
101 < N < 200	charpoly_s2_101-200.gp
201 < N < 300	charpoly_s2_201-300.gp
301 < N < 400	charpoly_s2_301-400.gp
401 < N < 500	charpoly_s2_401-500.gp
501 < N < 600	charpoly_s2_501-600.gp
601 < N < 700	charpoly_s2_601-700.gp
701 < N < 800	charpoly_s2_701-800.gp
801 < N < 900	charpoly_s2_801-900.gp
901 < N < 1000	charpoly_s2_901-1000.gp

Table 2: N<2223

Only the characteristic polynomials of T₂, T₃, and T₅ are given in this table.

1 < N < 500	charpoly_s2_t2t3t5_1-500.gp
501 < N < 1000	charpoly_s2_t2t3t5_501-1000.gp
1001 < N < 1500	charpoly_s2_t2t3t5_1001-1500.gp
1501 < N < 2000	charpoly_s2_t2t3t5_1501-2000.gp
2001 < N < 2223	charpoly_s2_t2t3t5_2001-2223.gp