# Stored data for newspace 315.3.bg, downloaded from the LMFDB on 11 May 2024.
{"label": "315.3.bg", "level": 315, "weight": 3, "char_conductor": 315, "char_degree": 2, "char_parity": -1, "sturm_bound": 144, "dim": 184, "eis_dim": 16, "eis_new_dim": 16, "cusp_dim": 184, "mf_dim": 200, "char_order": 6, "char_orbit_label": "bg", "char_is_real": false, "trace_bound": 3, "num_forms": 3, "Nk2": 2835, "analytic_conductor": 8.583128327349351, "level_radical": 105, "mf_new_dim": 200, "char_values": [315, 6, [281, 127, 136], [4, 3, 3]], "hecke_orbit_dims": [4, 4, 176], "trace_display": [0, 0, 0, 0], "traces": [184, 0, 0, 172, 0, 0, 0, 0, 12, 0, 2, 0, 0, -30, 24, -308, 0, 0, 0, 0, -18, 0, 0, 0, -2, 0, 0, 0, 32, -24, 0, 0, 0, 0, -104, 348, 0, 0, -210, 0, 0, 0, 0, 176, 0, -96, 0, 0, 22, 18, -282, 0, 0, 0, 0, 282, 0, 0, 0, -36, 0, 0, 0, -944, 212, 0, 0, 0, 0, -144, 152, 0, 0, 516, 0, 0, 0, 0, 242, 0, -636, 0, 0, -6, -52, 12, 0, 0, 0, 0, 188, 0, 0, 0, -120, 0, 0, 0, 0, 40, 0, 0, 0, 0, -366, 12, 0, 0, 236, 0, 0, 0, 0, 384, 0, 56, 0, 0, -526, 960, -498, 0, 0, 0, 0, 120, 0, 0, 0, -216, 0, 0, 0, -2136, 468, 0, 0, 0, 0, -8, 1026, 0, 0, 3408, 0, 0, 0, 0, -268, 0, -142, 0, 0, 744, -246, 1560, 0, 0, 0, 0, -2340, 0, 0, 0, -72, 0, 0, 0, -666, -2628, 0, 0, 0, 0, -348, -136, 0, 0, -352, 0, 0, 0, 0, 12, 0, -396, 0, 0, -414, 1308, -568, 0, 0, 0, 0, -74, 0, 0, 0, -870, 0, 0, 0, -3132, 108, 0, 0, 0, 0, 1098, 170, 0, 0, 84, 0, 0, 0, 0, -1044, 0, -278, 0, 0, 5028, 1128, 912, 0, 0, 0, 0, 360, 0, 0, 0, 236, 0, 0, 0, 320, 756, 0, 0, 0, 0, -54, -3048, 0, 0, -2730, 0, 0, 0, 0, -540, 0, -836, 0, 0, 684, 5768, 3018, 0, 0, 0, 0, 1992, 0, 0, 0, -4680, 0, 0, 0, 264, 1616, 0, 0, 0, 0, -1572, 1142, 0, 0, 2156, 0, 0, 0, 0, -252, 0, 222, 0, 0, 1806, 240, 5856, 0, 0, 0, 0, -660, 0, 0, 0, 660, 0, 0, 0, 2478, -138, 0, 0, 0, 0, 900, 3056, 0, 0, 874, 0, 0, 0, 0, -6432, 0, -1956, 0, 0, -2320, -936, -196, 0, 0, 0, 0, -2874, 0, 0, 0, 194, 0, 0, 0, 2304, -2850, 0, 0, 0, 0, -3012, -390, 0, 0, -3756, 0, 0, 0, 0, -232, 0, -776, 0, 0, -100, -3196, -8016, 0, 0, 0, 0, 2364, 0, 0, 0, 3450, 0, 0, 0, -2176, 4434, 0, 0, 0, 0, -88, -5328, 0, 0, 3362, 0, 0, 0, 0, -948, 0, -3672, 0, 0, 132, 1012, -2968, 0, 0, 0, 0, 2364, 0, 0, 0, -222, 0, 0, 0, -4044, 1244, 0, 0, 0, 0, -8322, -802, 0, 0, 4104, 0, 0, 0, 0, 6984, 0, 4580, 0, 0, -5424, -636, 524, 0, 0, 0, 0, 78, 0, 0, 0, -336, 0, 0, 0, -4816, 4266, 0, 0, 0, 0, 1362, 11412, 0, 0, 7296, 0, 0, 0, 0, -760, 0, 12, 0, 0, 516, -7830, 5994, 0, 0, 0, 0, -8296, 0, 0, 0, 5946, 0, 0, 0, -876, -9220, 0, 0, 0, 0, -96, 2498, 0, 0, -1296, 0, 0, 0, 0, -250, 0, 42, 0, 0, -666, -4440, -8556, 0, 0, 0, 0, 980, 0, 0, 0, 686, 0, 0, 0, -4230, 1698, 0, 0, 0, 0, 4884, -3312, 0, 0, -176, 0, 0, 0, 0, 2184, 0, -4992, 0, 0, 13076, 7392, -1564, 0, 0, 0, 0, 9696, 0, 0, 0, -492, 0, 0, 0, 4356, 5718, 0, 0, 0, 0, 1222, -7716, 0, 0, -5220, 0, 0, 0, 0, 1064, 0, -904, 0, 0, -498, 11928, 7728, 0, 0, 0, 0, 6806, 0, 0, 0, -7110, 0, 0, 0, -504, 7500, 0, 0, 0, 0, -396, 4352, 0, 0, 2462, 0, 0, 0, 0, -2752, 0, 5280, 0, 0, -84, 588, 13144, 0, 0, 0, 0, 948, 0, 0, 0, -456, 0, 0, 0, 22368, 550, 0, 0, 0, 0, 210, -4276, 0, 0, -1476, 0, 0, 0, 0, -8616, 0, -3148, 0, 0, -11898, -5076, 564, 0, 0, 0, 0, -7476, 0, 0, 0, 732, 0, 0, 0, 5726, -16914, 0, 0, 0, 0, 432, 1176, 0, 0, -12708, 0, 0, 0, 0, -5208, 0, 4008, 0, 0, 1214, -13860, -17640, 0, 0, 0, 0, 10368, 0, 0, 0, 9432, 0, 0, 0, 5880, 3852, 0, 0, 0, 0, 2886, -8404, 0, 0, -3592, 0, 0, 0, 0, -1696, 0, -5820, 0, 0, -6888, 544, -14716, 0, 0, 0, 0, -3160, 0, 0, 0, 3230, 0, 0, 0, -5172, -10500, 0, 0, 0, 0, -7554, -4188, 0, 0, -2296, 0, 0, 0, 0, 16212, 0, 216, 0, 0, -8958, -1722, 728, 0, 0, 0, 0, -4788, 0, 0, 0, 6042, 0, 0, 0, -12088, 588, 0, 0, 0, 0, -24, 17574, 0, 0, 17016, 0, 0, 0, 0, 3900, 0, -1586, 0, 0, -6068, -8164, 23220, 0, 0, 0, 0, -17568, 0, 0, 0, 5220, 0, 0, 0, 580, -23952, 0, 0, 0, 0, 960, 5256, 0, 0, -1036, 0, 0, 0, 0, 2220, 0, -9384, 0, 0, 2334, -1056, -7858, 0, 0, 0, 0, -1848, 0, 0, 0, 6330, 0, 0, 0, -12936, -1492, 0, 0, 0, 0, 20550, 6612, 0, 0, 800, 0, 0, 0, 0, -3156, 0, -744, 0, 0, 20364, 7374, 13368, 0, 0, 0, 0, 9858, 0, 0, 0, -532, 0, 0, 0, 8146, 16656, 0, 0, 0, 0, -590, -40560, 0, 0, -1302, 0, 0, 0, 0, 13072, 0, -3576, 0, 0, -2406, 32748, 5886, 0, 0, 0, 0, 19146, 0, 0, 0, -12900, 0, 0, 0, 6000, 8034, 0, 0, 0, 0, 7596, 3416, 0, 0, -5496, 0, 0, 0, 0, 6728, 0, 13818, 0, 0, -5112, 60, 47976, 0, 0, 0, 0, 924, 0, 0, 0, -15536, 0, 0, 0, 30570, -2254, 0, 0, 0, 0, -4122, -10272, 0, 0, -554, 0, 0, 0, 0, -11892, 0, 2624, 0, 0, -10596, -16848, 664, 0, 0, 0, 0, -7368, 0, 0, 0, 1872, 0, 0, 0, 15972, -19014, 0, 0, 0, 0, 3156, 6354, 0, 0, -31536, 0, 0, 0, 0, -18432, 0, -7456, 0, 0, -4980, -15174, -41544, 0, 0, 0, 0], "hecke_cutter_primes": [2, 13], "level_primes": [3, 5, 7], "relative_dim": 92, "hecke_orbit_code": 2199073587515, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 33, "prim_orbit_index": 33, "conrey_index": 34, "newforms": ["315.3.bg.a", "315.3.bg.b", "315.3.bg.c"], "oldspaces": []}