# Stored data for newspace 78.2.a, downloaded from the LMFDB on 25 April 2024.
{"label": "78.2.a", "level": 78, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 28, "dim": 1, "eis_dim": 7, "eis_new_dim": 0, "cusp_dim": 11, "mf_dim": 18, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 0, "num_forms": 1, "Nk2": 312, "plus_dim": 0, "AL_dims": [[[[2, 1], [3, 1], [13, -1]], 1, 1]], "analytic_conductor": 0.622833135765987, "level_radical": 78, "mf_new_dim": 1, "char_values": [78, 1, [53, 67], [1, 1]], "hecke_orbit_dims": [1], "trace_display": [-1, -1, 2, 4], "traces": [1, -1, -1, 1, 2, 1, 4, -1, 1, -2, -4, -1, 1, -4, -2, 1, 2, -1, -8, 2, -4, 4, 0, 1, -1, -1, -1, 4, 6, 2, -4, -1, 4, -2, 8, 1, -2, 8, -1, -2, -10, 4, 4, -4, 2, 0, 8, -1, 9, 1, -2, 1, -10, 1, -8, -4, 8, -6, 4, -2, -2, 4, 4, 1, 2, -4, -16, 2, 0, -8, -8, -1, 2, 2, 1, -8, -16, 1, 8, 2, 1, 10, 12, -4, 4, -4, -6, 4, 14, -2, 4, 0, 4, -8, -16, 1, 10, -9, -4, -1, -2, 2, 16, -1, -8, 10, 12, -1, -2, 8, 2, 4, -6, -8, 0, 6, 1, -4, 8, 2, 5, 2, 10, -4, -12, -4, 0, -1, -4, -2, 4, 4, -32, 16, -2, -2, -10, 0, 12, 8, -8, 8, -4, 1, 12, -2, -9, -2, -6, -1, 12, 8, 2, 16, -8, -1, 14, -8, 10, -2, 0, -1, -16, -10, 8, -12, 0, 4, 1, -4, -8, 4, -10, 6, -4, -4, -4, -14, -12, 2, -10, -4, 2, 0, -4, -4, -8, 8, -4, 16, -8, -1, -14, -10, -2, 9, 18, 4, -8, 1, 16, 2, 24, -2, -20, -16, 0, 1, 32, 8, 12, -10, 8, -12, 8, 1, -16, 2, -2, -8, 2, -2, -4, -4, -1, 6, 20, 8, 22, 0, 16, -6, 18, -1, 16, 4, -8, -8, 0, -2, 10, -5, -1, -2, 18, -10, -8, 4, -12, 12, 4, 4, 0, 0, -4, 1, -6, 4, -8, 2, 6, -4, 8, -4, -20, 32, -14, -16, -26, 2, -4, 2, -4, 10, 4, 0, 22, -12, -4, -8, -26, 8, -4, -8, 16, 4, -40, -1, -13, -12, -10, 2, 26, 9, 8, 2, 4, 6, 0, 1, 16, -12, 2, -8, -4, -2, -8, -16, -16, 8, 0, 1, -6, -14, 8, 8, -6, -10, -24, 2, -12, 0, -16, 1, -1, 16, 2, 10, 32, -8, 8, 12, -2, 0, -32, -4, 18, -1, 6, 4, 16, 8, 8, -4, 0, 10, -12, -6, 6, 4, -1, 4, 14, 4, -16, 14, -8, 12, 0, -2, 45, 10, -5, 4, 4, -2, 16, 0, -10, 4, -40, 4, 6, 8, 12, -8, 6, 4, 0, -16, 0, 8, -24, 1, -32, 14, 4, 10, -26, 2, 0, -9, -4, -18, 16, -4, 6, 8, 32, -1, 6, -16, -4, -2, 2, -24, 8, 2, 2, 20, 10, 16, 16, 0, 24, -1, -12, -32, 4, -8, 22, -12, 8, 10, -2, -8, -8, 12, 4, -8, -8, -1, -30, 16, -12, -2, 0, 2, 16, 8, 9, -2, -4, 2, 28, 4, 6, 4, 6, 1, 40, -6, -12, -20, 8, -8, -30, -22, -2, 0, -6, -16, -20, 6, 8, -18, -4, 1, -64, -16, -14, -4, -16, 8, 8, 8, -10, 0, -16, 2, -2, -10, 0, 5, 20, 1, 4, 2, 16, -18, 36, 10, 12, 8, -8, -4, -32, 12, 0, -12, 0, -4, 40, -4, -4, 0, -1, 0, 42, 4, 8, -1, 8, 6, 32, -4, -32, 8, 10, -2, -14, -6, -20, 4, 4, -8, -8, 4, -23, 20, 4, -32, -10, 14, 24, 16, 12, 26, -36, -2, -34, 4, 10, -2, -4, 4, -28, -10, -2, -4, -48, 0, 32, -22, 4, 12, 18, 4, 4, 8, 8, 26, 4, -8, -12, 4, 4, 8, -30, -16, -20, -4, 8, 40, 0, 1, 18, 13, 14, 12, 48, 10, 40, -2, 2, -26, 4, -9, 32, -8, -18, -2, -42, -4, 16, -6, 8, 0, -24, -1, 26, -16, -16, 12, 10, -2, -16, 8, -24, 4, 8, 2, -2, 8, 20, 16, 6, 16, 32, -8, 0, 0, 56, -1, -19, 6, -32, 14, -4, -8, -36, -8, -12, 6, 0, 10, 9, 24, -8, -2, 2, 12, -16, 0, -8, 16, 24, -1, -16, 1, 16, -16, -10, -2, 8, -10, 2, -32, -36, 8, -2, -8, -2, -12, -64, 2, 0, 0, 4, 32, 8, 4, -14, -18, 1, 1, 38, -6, 40, -4, -20, -16, 44, -8, -20, -8, -22, 4, -10, 0, -32, -10, -16, 12, 24, 6, -20, -6, -18, -4, -50, 1, 16, -4, -16, -14, -8, -4, 6, 16, 8, -14, 0, 8, -8, -12, 0, 0, -24, 2, 64, -45, -10, -10, -6, 5, -40, -4, 1, -4, 8, 2, -2, -16, -18, 0, 64, 10, 40, -4, 8, 40, -24, -4, -12, -6, 12, -8, 48, -12, -40, 8, -4, -6, 24, -4, 54, 0, 0, 16, -26, 0, -8, -8, 4, 24, 4, -1, 2, 32, 6, -14, -54, -4, 4, -10, 8, 26, 80, -2, 32, 0, -6, 9, 28, 4, 40, 18, -8, -16, -24, 4, -2, -6, 20, -8, -2, -32, 16, 1, 14, -6, -8, 16, 0, 4, 26, 2, 2, -2, 0, 24, 4, -8, -32, -2, -32, -2, 4, -20, 42, -10, -16, -16, -4, -16, 28, 0, -2, -24, -22, 1, 18, 12, 0, 32, 4, -4, -40, 8, 7, -22, 26, 12, 2, -8, 20, -10, 4, 2, 0, 8, -2, 8, -16, -12, 18, -4, -44, 8, 40, 8, 40, 1, -20, 30, 13, -16, -32, 12, -16, 2, 10, 0, -48, -2, 22, -16, -26, -8, 26, -9, 4, 2, -8, 4, 0, -2, 0, -28, -4, -4, -64, -6, -24, -4, 0, -6, -24, -1, -20, -40, -16, 6, -20, 12, 28, 20, -2, -8, 40, 8, -48, 30, 4, 22, 16, 2, -16, 0, 8, 6, -8, 16, 2, 20, 16, -6, 46, -8, -72, 18, 0, 4, -16, -1, 26, 64, 6, 16, -46, 14, 0, 4, -8, 16, -4, -8, 2, -8, 6, -8, -30, 10, -16, 0, 24, 16, -40, -2, -15, 2, 12, 10, -28, 0, 4, -5, 16, -20, -28, -1, 48, -4, 1, -2, 6, -16, -56, 18, -2, -36, 24, -10, 36, -12, -32, -8, 0, 8, -48, 4, -8, 32, -16, -12, -26, 0, 2, 12], "hecke_cutter_primes": [], "level_primes": [2, 3, 13], "relative_dim": 1, "hecke_orbit_code": 33554510, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [0, 1, 0, 0, 0, 0, 0, 0], "newforms": ["78.2.a.a"], "oldspaces": [[26, 1, 1, 2], [39, 1, 1, 2]]}