# Stored data for newspace 574.2.a, downloaded from the LMFDB on 18 April 2024. {"label": "574.2.a", "level": 574, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 168, "dim": 19, "eis_dim": 7, "eis_new_dim": 0, "cusp_dim": 81, "mf_dim": 88, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 5, "num_forms": 13, "Nk2": 2296, "plus_dim": 6, "AL_dims": [[[[2, -1], [7, -1], [41, -1]], 3, 2], [[[2, 1], [7, -1], [41, 1]], 3, 3], [[[2, 1], [7, -1], [41, -1]], 1, 1], [[[2, 1], [7, 1], [41, -1]], 4, 1], [[[2, -1], [7, -1], [41, 1]], 2, 2], [[[2, -1], [7, 1], [41, -1]], 1, 1], [[[2, -1], [7, 1], [41, 1]], 3, 1], [[[2, 1], [7, 1], [41, 1]], 2, 2]], "analytic_conductor": 4.583413076021494, "level_radical": 574, "mf_new_dim": 19, "char_values": [574, 1, [493, 211], [1, 1]], "hecke_orbit_dims": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4], "trace_display": [-1, 4, 2, -1], "traces": [19, -1, 4, 19, 2, -4, -1, -1, 23, -6, 0, 4, -14, 3, 8, 19, -10, -5, -12, 2, 4, -8, 8, -4, 13, -6, -8, -1, -2, 16, 24, -1, -8, -2, -2, 23, 2, 12, -16, -6, -1, -4, -36, 0, 26, -8, 16, 4, 19, -23, -8, -14, -10, 8, 24, 3, 24, -18, 4, 8, -6, 0, -5, 19, 68, 0, 16, -10, 8, -2, 32, -5, -34, 10, 4, -12, 4, 0, -16, 2, 35, -1, -20, 4, -4, -12, -32, -8, 86, -46, 10, 8, -40, 8, -40, -4, -18, -1, -24, 13, 18, -32, -16, -6, -16, -34, 12, -8, -26, 16, -56, -1, -26, -40, -56, -2, -54, -20, 6, 16, -17, -22, 0, 24, 12, -1, -24, -1, -48, -36, -28, -8, -20, 48, -16, -2, -26, -8, -28, -2, -32, 0, 56, 23, -12, 22, 4, 2, -2, 12, 8, 12, -82, -12, 8, -16, -6, 48, 32, -6, -8, -1, 12, -1, 8, -44, 56, -4, -3, 36, -44, -36, 66, 72, 9, 0, 64, -58, 24, 26, -14, -14, -40, -8, 12, 56, 0, 16, -8, -16, -56, 4, -34, -18, -40, 19, 58, 0, -24, -23, -24, 26, -30, -8, 2, 32, 48, -14, 40, 16, 56, -10, -40, -28, 64, 8, -16, -18, -40, 24, 36, -8, 72, 3, -95, -26, 60, 24, -14, -32, 8, -18, -98, 82, -32, 4, 72, -18, 0, 8, -98, -5, -100, -6, 2, 8, -56, 0, 64, -12, 76, -5, 16, 8, -8, 19, 14, 0, 2, 68, 94, 36, -40, 0, 84, 4, 8, 16, 42, 0, 0, -10, -40, 46, 104, 8, 2, 36, 64, -2, -2, 48, -4, 32, 24, 64, -1, -5, 17, -4, -56, -34, 34, -4, 80, 10, 128, -2, -56, 4, -4, -16, -40, -12, -4, -10, 20, 4, -96, 32, 120, 0, 62, -14, -2, -16, 30, 56, 88, 2, 32, 24, 64, 35, -74, -52, 104, -1, 8, -24, -64, -20, 98, 24, -88, 4, 6, -31, -16, -4, 24, -84, -1, -12, 96, -94, 128, -32, -54, 5, -8, -8, 78, 8, 160, 86, 64, -24, 72, -46, -17, 58, -36, 10, -20, -32, 24, 8, -13, 28, -14, -40, -54, -40, 48, 8, 20, -40, 20, -40, -8, 72, 0, -4, 0, 14, -108, -18, -14, -40, -48, -1, 0, -30, -80, -24, -54, -64, 40, 13, -26, 96, -88, 18, -38, -14, -144, -32, -10, 10, 24, -16, 40, -32, 88, -6, -48, 64, 28, -16, -26, 48, 64, -34, -198, -24, -26, 12, -72, 64, 56, -8, 30, -8, -152, -26, 56, 24, -104, 16, 23, 4, 4, -56, 124, -8, -80, -1, -34, -99, -4, -26, -240, 36, 4, -40, -58, -22, -8, -56, -78, 0, -128, -2, -208, 70, 116, -54, -44, 24, 72, -20, -32, 8, -44, 6, 150, 8, -112, 16, -20, -18, 56, -17, -44, 100, 64, -22, 80, -6, 164, 0, 140, 56, -88, 24, 32, 8, -48, 12, -96, 4, 8, -1, 36, 72, 60, -24, -70, 8, 6, -1, 16, -50, -120, -48, -16, -6, -104, -36, 94, -18, 12, -28, -44, 88, 48, -8, 43, -68, 108, -20, -2, 96, 96, 48, 88, -54, 0, -16, -126, 104, -224, -2, -76, 8, 120, -26, 18, -72, 120, -8, -8, -6, 0, -28, 54, -104, 40, -2, 48, 54, -164, -32, 28, 76, -65, 0, -114, -40, -24, 56, -40, 7, -16, 23, -42, -51, -192, -12, 8, 32, -72, 22, -124, 90, -60, 4, 24, -16, 8, 2, -98, -192, 84, -2, 80, 72, 80, 12, -18, 12, -200, 8, -78, 104, 120, 12, 40, 52, 0, -82, -62, 20, 16, -12, -106, -80, -12, 8, 64, -32, -42, -16, 79, -106, 56, -6, 36, 46, 128, 48, -56, 30, -72, 32, -14, -8, 272, -6, -98, 64, 108, -8, 0, -16, -32, -1, 248, -98, 32, 12, -42, -32, -152, -1, 38, 16, 120, 8, 58, -64, 64, -44, -56, 74, -120, 56, -144, 64, -8, -4, -2, -58, 72, -3, 50, 32, 14, 36, 176, -56, -24, -44, -44, 3, -24, -36, -12, -128, -116, 66, 52, 24, -96, 72, 22, -22, -88, 9, 42, 40, -200, 0, -64, 14, -94, 64, 142, -16, -32, -58, -32, 0, 112, 24, 168, 8, -16, 26, 48, 27, 48, -14, -78, -44, -120, -14, 95, -132, 56, -40, 162, 80, 8, -8, -32, -13, 4, 12, -64, 10, 96, 56, 36, -78, 4, 0, -28, -144, 192, 16, 160, 140, -152, -8, -114, 108, -80, -16, 254, 104, -14, -56, -212, 32, -112, 4, -26, -24, -40, -34, -198, 36, -128, -18, -40, -54, 8, -40, 136, -112, -104, 19, 100, -56, -68, 58, 336, -16, 6, 0, -108, -30, -8, -24, 162, 72, 96, -23, 206, -58, -256, -24, 0, 72, 136, 26, 150, -46, -12, -30, 8, 112, -72, -8, 32, -90, 2, 2, -6, -136, 128, 32, -184, -8, 184, 48, -46, -72, 280, -14, -10, 56, 120, 40, 96, 124, 120, 16, 45, -42, 8, 56, -154, 88, -69, -10, 0, 34, 16, -40, -54, 62, -72, -28, -42, 72, 84, 64, 8, -72, 56, 8, 28, -98, 204, -16, -88, 48, -56, -18, -90, 120, -12, -40, 26, 64, -80, 24, 174, -5, -48, 36, 88, 76, 104, -8, 32, -36, -56, 72, -64, -8, -8, 3, 96, -18, 88, -95, -60, -12, 48, -26, 196, 144, 84, 60, 122, 12, -112, 24, 8, -106, 232, -14, 64, 48, -144, -32, 240, -22, 0, 8, -26, 112, 280, -18, -2, 208, -12, -98, -64, -68, -168, 82, 118, -36, 144, -32, -46, 56, -24, 4, 56, 96, -60, 72, -60, 172, 232, -18, 62, -130, 176, 0, 24, 72, -34, 8, -133, -36, 116, -98, -132, -56, -272, -5, -96, -28, 76, -100, 8, -160, -40, -6, -114, -64, 112, 2, -26, -4, -32, 8, 124, -44, 0, -56, -40, -96, -120, 0, -8, -40, 80, 64, 10, -80, -352, -12], "hecke_cutter_primes": [3, 5, 11], "level_primes": [2, 7, 41], "relative_dim": 19, "hecke_orbit_code": 33555006, "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": [2, 4, 3, 1, 3, 1, 2, 3], "newforms": ["574.2.a.a", "574.2.a.b", "574.2.a.c", "574.2.a.d", "574.2.a.e", "574.2.a.f", "574.2.a.g", "574.2.a.h", "574.2.a.i", "574.2.a.j", "574.2.a.k", "574.2.a.l", "574.2.a.m"], "oldspaces": [[14, 1, 1, 2], [41, 1, 1, 4], [82, 1, 1, 2], [287, 1, 1, 2]]}