# Stored data for newspace 75.4.b, downloaded from the LMFDB on 19 April 2024.
{"label": "75.4.b", "level": 75, "weight": 4, "char_conductor": 5, "char_degree": 1, "char_parity": 1, "sturm_bound": 40, "dim": 8, "eis_dim": 12, "eis_new_dim": 0, "cusp_dim": 24, "mf_dim": 36, "char_order": 2, "char_orbit_label": "b", "char_is_real": true, "trace_bound": 4, "num_forms": 3, "Nk2": 1200, "analytic_conductor": 4.425143250430546, "level_radical": 15, "mf_new_dim": 8, "char_values": [75, 2, [26, 52], [2, 1]], "hecke_orbit_dims": [2, 2, 4], "trace_display": [0, 0, 0, 0], "traces": [8, 0, 0, -36, 0, -24, 0, 0, -72, 0, 112, 0, 0, -324, 0, 180, 0, 0, 276, 0, -108, 0, 0, 468, 0, -764, 0, 0, -488, 0, 68, 0, 0, 1088, 0, 324, 0, 0, 204, 0, 1688, 0, 0, 712, 0, -2232, 0, 0, -1100, 0, -816, 0, 0, 216, 0, -480, 0, 0, -496, 0, 2340, 0, 0, -3284, 0, 1488, 0, 0, -504, 0, 416, 0, 0, -1904, 0, 784, 0, 0, 3280, 0, 648, 0, 0, -936, 0, -1508, 0, 0, -984, 0, -2492, 0, 0, 824, 0, -2748, 0, 0, -1008, 0, -3888, 0, 0, 12576, 0, 5848, 0, 0, 836, 0, -1488, 0, 0, -1164, 0, 3088, 0, 0, 5016, 0, -2088, 0, 0, -3104, 0, 2916, 0, 0, -2460, 0, 2280, 0, 0, -6972, 0, -5256, 0, 0, -256, 0, -2040, 0, 0, -1620, 0, -1832, 0, 0, -3752, 0, -5124, 0, 0, -888, 0, 7224, 0, 0, 9816, 0, 3048, 0, 0, -16264, 0, 17640, 0, 0, -14124, 0, -2484, 0, 0, 4152, 0, 1304, 0, 0, 2960, 0, -6932, 0, 0, 6480, 0, 324, 0, 0, 972, 0, 2072, 0, 0, 2068, 0, -12716, 0, 0, 19188, 0, -1476, 0, 0, -4488, 0, -19048, 0, 0, -2824, 0, -452, 0, 0, 15024, 0, -4212, 0, 0, -1704, 0, 30472, 0, 0, 13416, 0, 4840, 0, 0, -11036, 0, 1224, 0, 0, 6876, 0, -8104, 0, 0, -4144, 0, 4812, 0, 0, 1544, 0, -19416, 0, 0, -7272, 0, -11784, 0, 0, -6472, 0, 16676, 0, 0, 1256, 0, 4392, 0, 0, 9288, 0, -15900, 0, 0, -7864, 0, 1632, 0, 0, -2400, 0, 22752, 0, 0, -612, 0, -5376, 0, 0, -20752, 0, -18296, 0, 0, -1944, 0, 13164, 0, 0, -22524, 0, 38760, 0, 0, 8184, 0, 29428, 0, 0, -26416, 0, -9792, 0, 0, -1320, 0, -14328, 0, 0, 16900, 0, -43120, 0, 0, -21728, 0, -1440, 0, 0, -2916, 0, 23204, 0, 0, 39096, 0, 11216, 0, 0, -6864, 0, -17208, 0, 0, 18168, 0, -27624, 0, 0, 58008, 0, -12240, 0, 0, -13008, 0, -1836, 0, 0, -14016, 0, -1416, 0, 0, -34416, 0, -22068, 0, 0, 16256, 0, 18516, 0, 0, -15192, 0, 20688, 0, 0, 32864, 0, 30816, 0, 0, 35820, 0, 9624, 0, 0, 22428, 0, 48980, 0, 0, 4464, 0, 1008, 0, 0, 29232, 0, -6408, 0, 0, -14580, 0, -95400, 0, 0, -43248, 0, -27960, 0, 0, 52964, 0, -13824, 0, 0, 20088, 0, -65032, 0, 0, -47624, 0, 18864, 0, 0, -75240, 0, 2832, 0, 0, -4440, 0, 20328, 0, 0, -72348, 0, 62904, 0, 0, 18540, 0, 9900, 0, 0, 29544, 0, 77156, 0, 0, 65048, 0, -7984, 0, 0, -43664, 0, -20808, 0, 0, 7344, 0, 78816, 0, 0, -109072, 0, 74952, 0, 0, -17284, 0, -23124, 0, 0, -49680, 0, -36528, 0, 0, -10920, 0, -46152, 0, 0, 77644, 0, -1944, 0, 0, -708, 0, -47800, 0, 0, 67292, 0, -105472, 0, 0, -46764, 0, 8352, 0, 0, 4320, 0, 7056, 0, 0, -9256, 0, -15752, 0, 0, 50424, 0, 58848, 0, 0, 17568, 0, -26752, 0, 0, 93624, 0, -32416, 0, 0, -16280, 0, 4464, 0, 0, 44136, 0, 86424, 0, 0, -60392, 0, 77948, 0, 0, 31096, 0, -55836, 0, 0, -21060, 0, 19208, 0, 0, -9828, 0, -15984, 0, 0, -22628, 0, -20544, 0, 0, 40656, 0, -110124, 0, 0, 89856, 0, 23212, 0, 0, -47568, 0, 29556, 0, 0, 20748, 0, 10488, 0, 0, -31920, 0, -6096, 0, 0, 45860, 0, 47088, 0, 0, -13392, 0, 15712, 0, 0, 22768, 0, -75788, 0, 0, 55568, 0, 9648, 0, 0, 42120, 0, 35464, 0, 0, -82276, 0, 25200, 0, 0, -43756, 0, 4536, 0, 0, -160152, 0, -125836, 0, 0, 23776, 0, 41556, 0, 0, -74216, 0, -62328, 0, 0, -3744, 0, -47592, 0, 0, 80256, 0, -39512, 0, 0, -32176, 0, 52524, 0, 0, -3084, 0, 136648, 0, 0, -105400, 0, -13584, 0, 0, -31536, 0, 17136, 0, 0, -47796, 0, 130648, 0, 0, 163652, 0, 206220, 0, 0, 25916, 0, -54048, 0, 0, -7056, 0, -11580, 0, 0, -2416, 0, 53472, 0, 0, -32872, 0, -92016, 0, 0, -44280, 0, -5800, 0, 0, 36104, 0, -50544, 0, 0, -24444, 0, -29520, 0, 0, 84168, 0, -209800, 0, 0, -89352, 0, -38192, 0, 0, -58104, 0, 57336, 0, 0, -5832, 0, -25640, 0, 0, -2988, 0, -171072, 0, 0, 39024, 0, 67332, 0, 0, -58680, 0, 98812, 0, 0, 141696, 0, -6288, 0, 0, 135304, 0, 8424, 0, 0, 69552, 0, 88584, 0, 0, -157168, 0, 140064, 0, 0, 75788, 0, -35640, 0, 0, 13572, 0, -101496, 0, 0, 68560, 0, 8864, 0, 0, 210716, 0, 36936, 0, 0, 28272, 0, -123072, 0, 0, -123676, 0, -75728, 0, 0, -81040, 0, 8856, 0, 0, 66672, 0, 52956, 0, 0, -104840, 0, -103684, 0, 0, 10432, 0, 141000, 0, 0, 22428, 0, 92424, 0, 0, 200568, 0, 57480, 0, 0, -174800, 0, -130572, 0, 0, 77664, 0, 14624, 0, 0, 29800, 0, -9096, 0, 0, -196704, 0, -7416, 0, 0, -30996, 0, -31152, 0, 0, -58548, 0, 138816, 0, 0, 182160, 0, -74016, 0, 0, 24732, 0, -20396, 0, 0, -24000, 0, -160748, 0, 0, -68760, 0, -7248, 0, 0, -35568, 0, 18904, 0, 0, -234128, 0, -147504, 0, 0, 31616, 0, 9072, 0, 0, -80952, 0, 258600, 0, 0, 212040, 0, 73168, 0, 0, -115416, 0, 97212, 0, 0, 34992, 0, 90136, 0, 0, -198424, 0, 108776, 0, 0, 29940, 0, -31740, 0, 0, -76032, 0, -73608, 0, 0, -135104, 0, -53512, 0, 0, 65224, 0, -113184, 0, 0, 44652, 0, 51608, 0, 0, 135976, 0, 49720, 0, 0, 76984, 0, 87720, 0, 0, -52632, 0, -167056, 0, 0, -236424, 0, 82028, 0, 0, -38008, 0, 92664, 0, 0, -58872, 0, -55152, 0, 0, 158308, 0, 60376, 0, 0, 82896, 0, -7524, 0, 0, 139320, 0, -65584, 0, 0, -135816, 0, 41476, 0, 0, -98688, 0, -128160, 0, 0, 13392, 0], "hecke_cutter_primes": [2], "level_primes": [3, 5], "relative_dim": 8, "hecke_orbit_code": 68786585675, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 2, "prim_orbit_index": 2, "conrey_index": 49, "newforms": ["75.4.b.a", "75.4.b.b", "75.4.b.c"], "oldspaces": [[25, 2, 24, 2]]}