# Stored data for newspace 784.2.p, downloaded from the LMFDB on 25 April 2024.
{"label": "784.2.p", "level": 784, "weight": 2, "char_conductor": 28, "char_degree": 2, "char_parity": 1, "sturm_bound": 224, "dim": 40, "eis_dim": 96, "eis_new_dim": 0, "cusp_dim": 176, "mf_dim": 272, "char_order": 6, "char_orbit_label": "p", "char_is_real": false, "trace_bound": 11, "num_forms": 10, "Nk2": 3136, "analytic_conductor": 6.260271518468382, "level_radical": 14, "mf_new_dim": 40, "char_values": [784, 6, [687, 197, 689], [3, 6, 1]], "hecke_orbit_dims": [2, 2, 2, 2, 2, 2, 4, 8, 8, 8], "trace_display": [0, 0, 0, 0], "traces": [40, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 24, 0, 0, 0, 36, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -104, 0, 0, 0, -36, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 120, 0, 0, 0, 36, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -72, 0, 0, 0, -48, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 120, 0, 0, 0, 36, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -152, 0, 0, 0, -108, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, -168, 0, 0, 0, -24, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, -64, 0, 0, 0, 48, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -72, 0, 0, 0, 72, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 32, 0, 0, 0, -12, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 124, 0, 0, 0, 56, 0, 0, 0, -72, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 576, 0, 0, 0, 120, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 120, 0, 0, 0, 252, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, -216, 0, 0, 0, -84, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 24, 0, 0, 0, -144, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, -144, 0, 0, 0, -180, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -192, 0, 0, 0, 36, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -592, 0, 0, 0, 144, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -504, 0, 0, 0, 108, 0, 0, 0, -116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -48, 0, 0, 0, -180, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, 0, 184, 0, 0, 0, 144, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 208, 0, 0, 0, -12, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 488, 0, 0, 0, -72, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 192, 0, 0, 0, -72, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, -16, 0, 0, 0, -168, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 184, 0, 0, 0, -72, 0, 0, 0, -116, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 216, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, -400, 0, 0, 0, 252, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, -120, 0, 0, 0, 36, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -1048, 0, 0, 0, -36, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0], "hecke_cutter_primes": [3, 5, 11], "level_primes": [2, 7], "relative_dim": 20, "hecke_orbit_code": 1030825706256, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 16, "prim_orbit_index": 6, "conrey_index": 31, "newforms": ["784.2.p.a", "784.2.p.b", "784.2.p.c", "784.2.p.d", "784.2.p.e", "784.2.p.f", "784.2.p.g", "784.2.p.h", "784.2.p.i", "784.2.p.j"], "oldspaces": [[28, 6, 3, 6], [56, 12, 31, 4], [112, 16, 31, 2]]}