# Stored data for newspace 784.2.a, downloaded from the LMFDB on 23 April 2024.
{"label": "784.2.a", "level": 784, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 224, "dim": 18, "eis_dim": 47, "eis_new_dim": 5, "cusp_dim": 89, "mf_dim": 136, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 11, "num_forms": 14, "Nk2": 3136, "plus_dim": 7, "AL_dims": [[[[2, -1], [7, -1]], 3, 3], [[[2, 1], [7, -1]], 6, 5], [[[2, 1], [7, 1]], 4, 3], [[[2, -1], [7, 1]], 5, 3]], "analytic_conductor": 6.260271518468382, "level_radical": 14, "mf_new_dim": 23, "char_values": [784, 1, [687, 197, 689], [1, 1, 1]], "hecke_orbit_dims": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], "trace_display": [0, 0, 2, 0], "traces": [18, 0, 0, 0, 2, 0, 0, 0, 16, 0, -6, 0, 2, 0, -2, 0, 2, 0, 8, 0, 0, 0, 6, 0, 4, 0, 0, 0, -4, 0, 8, 0, 0, 0, 0, 0, 10, 0, 20, 0, -6, 0, 16, 0, 10, 0, -24, 0, 0, 0, 14, 0, 2, 0, -8, 0, -6, 0, 0, 0, -6, 0, 0, 0, -12, 0, -30, 0, -16, 0, 8, 0, 2, 0, 32, 0, 0, 0, 6, 0, 2, 0, 8, 0, -10, 0, 16, 0, 2, 0, 0, 0, -42, 0, 66, 0, 18, 0, 20, 0, -14, 0, -32, 0, 0, 0, -2, 0, -6, 0, -16, 0, -12, 0, -32, 0, 10, 0, 0, 0, 16, 0, -36, 0, 36, 0, -8, 0, 0, 0, 40, 0, 0, 0, 26, 0, -14, 0, 24, 0, -22, 0, -8, 0, -4, 0, 0, 0, 18, 0, -62, 0, -22, 0, -2, 0, -14, 0, -32, 0, 0, 0, -106, 0, -38, 0, 16, 0, -10, 0, -24, 0, -14, 0, 0, 0, -58, 0, -22, 0, -38, 0, -106, 0, -20, 0, 24, 0, 0, 0, -2, 0, 18, 0, 0, 0, 68, 0, 16, 0, 16, 0, 0, 0, 20, 0, 76, 0, 32, 0, -64, 0, 0, 0, -40, 0, 0, 0, -10, 0, 76, 0, -16, 0, -36, 0, 24, 0, 10, 0, 0, 0, 18, 0, 18, 0, 32, 0, 32, 0, 2, 0, 0, 0, 0, 0, -100, 0, -24, 0, -8, 0, 10, 0, 16, 0, -38, 0, 0, 0, 24, 0, 26, 0, -52, 0, 38, 0, 50, 0, 16, 0, 0, 0, 80, 0, 26, 0, -24, 0, 4, 0, -16, 0, -16, 0, 0, 0, -68, 0, -84, 0, -30, 0, -18, 0, 0, 0, 0, 0, 0, 0, 38, 0, -2, 0, -8, 0, -14, 0, -40, 0, 10, 0, 0, 0, -14, 0, -12, 0, 48, 0, -30, 0, -18, 0, 16, 0, 0, 0, 22, 0, -52, 0, 40, 0, -28, 0, 0, 0, 32, 0, 0, 0, 54, 0, 82, 0, 50, 0, 76, 0, 26, 0, -16, 0, 0, 0, 94, 0, -48, 0, 0, 0, -42, 0, 32, 0, 2, 0, 0, 0, 58, 0, -14, 0, -36, 0, 104, 0, -48, 0, 24, 0, 0, 0, 56, 0, -38, 0, -16, 0, 82, 0, 64, 0, 2, 0, 0, 0, 50, 0, -60, 0, -62, 0, 142, 0, -6, 0, -32, 0, 0, 0, 8, 0, 72, 0, 16, 0, 52, 0, 8, 0, 46, 0, 0, 0, -116, 0, -14, 0, 50, 0, 108, 0, 16, 0, 56, 0, 0, 0, 94, 0, -2, 0, 32, 0, -28, 0, -8, 0, -16, 0, 0, 0, 42, 0, 106, 0, 18, 0, -24, 0, 32, 0, -8, 0, 0, 0, -50, 0, 88, 0, -40, 0, 60, 0, -56, 0, 12, 0, 0, 0, 84, 0, 42, 0, -64, 0, -72, 0, 76, 0, 24, 0, 0, 0, -26, 0, -24, 0, 8, 0, 14, 0, -32, 0, -46, 0, 0, 0, 30, 0, 90, 0, -32, 0, 22, 0, -6, 0, -64, 0, 0, 0, 30, 0, -56, 0, 0, 0, -88, 0, 24, 0, -16, 0, 0, 0, -78, 0, -324, 0, 60, 0, -56, 0, -30, 0, 32, 0, 0, 0, -238, 0, 82, 0, -40, 0, 106, 0, 96, 0, 20, 0, 0, 0, 42, 0, 58, 0, 64, 0, -176, 0, -6, 0, -64, 0, 0, 0, 54, 0, -72, 0, -56, 0, -70, 0, 0, 0, -70, 0, 0, 0, 54, 0, 58, 0, -62, 0, -268, 0, -54, 0, 32, 0, 0, 0, 12, 0, 10, 0, 16, 0, 100, 0, 0, 0, 32, 0, 0, 0, -130, 0, 142, 0, -36, 0, -72, 0, -48, 0, -48, 0, 0, 0, -216, 0, 58, 0, 16, 0, -40, 0, -80, 0, 0, 0, 0, 0, -6, 0, -22, 0, 42, 0, -80, 0, 18, 0, 48, 0, 0, 0, 124, 0, 16, 0, 24, 0, -28, 0, -64, 0, 42, 0, 0, 0, 94, 0, -230, 0, 20, 0, -18, 0, 12, 0, -40, 0, 0, 0, -72, 0, -36, 0, 64, 0, 68, 0, 0, 0, -32, 0, 0, 0, 10, 0, -20, 0, -32, 0, 92, 0, 80, 0, 56, 0, 0, 0, -90, 0, -40, 0, 80, 0, -86, 0, 56, 0, -38, 0, 0, 0, -98, 0, 250, 0, -16, 0, 152, 0, -20, 0, -24, 0, 0, 0, 190, 0, 64, 0, -64, 0, -52, 0, 0, 0, 90, 0, 0, 0, -188, 0, -12, 0, 34, 0, 222, 0, -78, 0, 56, 0, 0, 0, 4, 0, -32, 0, -32, 0, -82, 0, -40, 0, 0, 0, 0, 0, -20, 0, -166, 0, 66, 0, 178, 0, -22, 0, -40, 0, 0, 0, -34, 0, -94, 0, 48, 0, -142, 0, -88, 0, 32, 0, 0, 0, 58, 0, -102, 0, 0, 0, 32, 0, -102, 0, 64, 0, 0, 0, 200, 0, -30, 0, 0, 0, -74, 0, 0, 0, -34, 0, 0, 0, -50, 0, 114, 0, -38, 0, 60, 0, -6, 0, -40, 0, 0, 0, -266, 0, -106, 0, -64, 0, 42, 0, 8, 0, -6, 0, 0, 0, -14, 0, 140, 0, 26, 0, 16, 0, 48, 0, -16, 0, 0, 0, 58, 0, -58, 0, 8, 0, -76, 0, 80, 0, -20, 0, 0, 0, -12, 0, 2, 0, -6, 0, 104, 0, 32, 0, -32, 0, 0, 0, 190, 0, 136, 0, -16, 0, 144, 0, 32, 0, -14, 0, 0, 0, -18, 0, -238, 0, -30, 0, -186, 0, 90, 0, -16, 0, 0, 0, -154, 0, 4, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -88, 0, 76, 0, -44, 0, -296, 0, 16, 0, 16, 0, 0, 0, 144, 0, 82, 0, 24, 0, 108, 0, -48, 0, -84, 0, 0, 0, 120, 0, 154, 0, 0, 0, -306, 0, -46, 0, 32, 0], "hecke_cutter_primes": [3, 5, 11], "level_primes": [2, 7], "relative_dim": 18, "hecke_orbit_code": 33555216, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [4, 6, 5, 3], "newforms": ["784.2.a.a", "784.2.a.b", "784.2.a.c", "784.2.a.d", "784.2.a.e", "784.2.a.f", "784.2.a.g", "784.2.a.h", "784.2.a.i", "784.2.a.j", "784.2.a.k", "784.2.a.l", "784.2.a.m", "784.2.a.n"], "oldspaces": [[14, 1, 1, 8], [28, 1, 1, 6], [49, 1, 1, 5], [56, 1, 1, 4], [98, 1, 1, 4], [112, 1, 1, 2], [196, 1, 1, 3], [392, 1, 1, 2]]}