# Stored data for newspace 825.4.c, downloaded from the LMFDB on 09 May 2024.
{"label": "825.4.c", "level": 825, "weight": 4, "char_conductor": 5, "char_degree": 1, "char_parity": 1, "sturm_bound": 480, "dim": 92, "eis_dim": 24, "eis_new_dim": 0, "cusp_dim": 348, "mf_dim": 372, "char_order": 2, "char_orbit_label": "c", "char_is_real": true, "trace_bound": 14, "num_forms": 19, "Nk2": 13200, "analytic_conductor": 48.67657575473601, "level_radical": 165, "mf_new_dim": 92, "char_values": [825, 2, [551, 727, 376], [2, 1, 2]], "hecke_orbit_dims": [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 6, 6, 8, 8, 10, 10], "trace_display": [0, 0, 0, 0], "traces": [92, 0, 0, -360, 0, 24, 0, 0, -828, 0, 0, 0, 0, 472, 0, 1624, 0, 0, -24, 0, 48, 0, 0, -648, 0, 512, 0, 0, 976, 0, 848, 0, 0, -1712, 0, 3240, 0, 0, 168, 0, -1984, 0, 0, -1232, 0, 1848, 0, 0, -5516, 0, 1488, 0, 0, -216, 0, 264, 0, 0, 2624, 0, -5216, 0, 0, -4888, 0, 528, 0, 0, -48, 0, -1152, 0, 0, 9904, 0, 152, 0, 0, -1024, 0, 7452, 0, 0, 3744, 0, 2616, 0, 0, 4768, 0, 3064, 0, 0, -4088, 0, 2808, 0, 0, 0, 0, 8880, 0, 0, -9872, 0, -3216, 0, 0, -6112, 0, 3024, 0, 0, -2832, 0, -7584, 0, 0, -6448, 0, 11132, 0, 0, -14824, 0, -4248, 0, 0, 2784, 0, -14976, 0, 0, -3824, 0, 11792, 0, 0, 5328, 0, 3984, 0, 0, -14616, 0, 21568, 0, 0, 8496, 0, -5768, 0, 0, -1936, 0, -7104, 0, 0, -10200, 0, 17696, 0, 0, 1632, 0, 728, 0, 0, -3652, 0, 216, 0, 0, 1296, 0, 9856, 0, 0, -8144, 0, 2136, 0, 0, 6312, 0, -8400, 0, 0, -432, 0, -272, 0, 0, -34976, 0, 41016, 0, 0, -34016, 0, -1272, 0, 0, 4536, 0, 13280, 0, 0, 1408, 0, 3592, 0, 0, -9768, 0, 5832, 0, 0, 13776, 0, -6400, 0, 0, 4200, 0, -51168, 0, 0, 488, 0, 5544, 0, 0, -4608, 0, -57184, 0, 0, -1664, 0, -38432, 0, 0, 44400, 0, 4896, 0, 0, 9984, 0, 4944, 0, 0, -760, 0, 5752, 0, 0, 29520, 0, -8784, 0, 0, -6336, 0, -9520, 0, 0, 43680, 0, 29616, 0, 0, 68576, 0, -3192, 0, 0, -7632, 0, -46320, 0, 0, 17920, 0, 22880, 0, 0, 16596, 0, -4968, 0, 0, 1632, 0, -124736, 0, 0, -1824, 0, 35464, 0, 0, -5000, 0, 15408, 0, 0, -21072, 0, 41088, 0, 0, 50800, 0, -6344, 0, 0, -9592, 0, 9024, 0, 0, -29160, 0, 51152, 0, 0, 6160, 0, 26416, 0, 0, 45072, 0, -65040, 0, 0, -12432, 0, 9152, 0, 0, -48360, 0, -1032, 0, 0, 36232, 0, -1512, 0, 0, 21264, 0, -80344, 0, 0, -18080, 0, 20596, 0, 0, 21488, 0, -48840, 0, 0, 17856, 0, 20672, 0, 0, -16192, 0, -16264, 0, 0, -67464, 0, 5256, 0, 0, 2376, 0, 79360, 0, 0, 9616, 0, -90176, 0, 0, -19896, 0, 11088, 0, 0, 39912, 0, 17888, 0, 0, 55936, 0, -128208, 0, 0, -69072, 0, 50736, 0, 0, -16632, 0, 75888, 0, 0, -44800, 0, 39472, 0, 0, 145872, 0, -54912, 0, 0, -6864, 0, 3808, 0, 0, 218320, 0, 47392, 0, 0, -48056, 0, 49644, 0, 0, -7776, 0, -182944, 0, 0, -22912, 0, 32384, 0, 0, -52552, 0, 105216, 0, 0, -13392, 0, -133760, 0, 0, -26112, 0, -107520, 0, 0, -4280, 0, 42360, 0, 0, 47784, 0, 150464, 0, 0, -12112, 0, -33984, 0, 0, -43560, 0, 1944, 0, 0, -41928, 0, 120656, 0, 0, -86752, 0, 242776, 0, 0, -92776, 0, -36480, 0, 0, -2376, 0, -704, 0, 0, 18928, 0, -38832, 0, 0, 177952, 0, -77472, 0, 0, 16080, 0, 37584, 0, 0, 11088, 0, 41856, 0, 0, -60204, 0, -23616, 0, 0, 96384, 0, -97504, 0, 0, -31328, 0, -120896, 0, 0, -53072, 0, -24672, 0, 0, 46944, 0, 208584, 0, 0, 125800, 0, -357120, 0, 0, -3872, 0, 17424, 0, 0, -40728, 0, -258432, 0, 0, -80080, 0, -10104, 0, 0, 89624, 0, 43992, 0, 0, 19752, 0, -4336, 0, 0, -38112, 0, 24912, 0, 0, -8008, 0, -83760, 0, 0, -4752, 0, -148000, 0, 0, 17112, 0, -30320, 0, 0, -80496, 0, -23376, 0, 0, 35040, 0, 111440, 0, 0, 169168, 0, -4928, 0, 0, -35320, 0, 432, 0, 0, 102144, 0, 86176, 0, 0, 84480, 0, -31512, 0, 0, -59216, 0, 84504, 0, 0, 10368, 0, 290320, 0, 0, -358512, 0, -113720, 0, 0, -46552, 0, 12072, 0, 0, -39192, 0, 72112, 0, 0, -59520, 0, 143360, 0, 0, 122856, 0, -89136, 0, 0, 3720, 0, 4488, 0, 0, -370192, 0, -52000, 0, 0, -114424, 0, 28320, 0, 0, -1368, 0, 6944, 0, 0, 40704, 0, 82992, 0, 0, 91216, 0, 78768, 0, 0, 126144, 0, 38336, 0, 0, -13552, 0, 252608, 0, 0, 94040, 0, 9216, 0, 0, -140112, 0, 334928, 0, 0, -141480, 0, -336, 0, 0, -302672, 0, 2904, 0, 0, -67068, 0, -46112, 0, 0, 85904, 0, 132152, 0, 0, 52000, 0, -97560, 0, 0, 126144, 0, -117864, 0, 0, -297280, 0, -65224, 0, 0, 203968, 0, -33696, 0, 0, -36432, 0, -367136, 0, 0, 253776, 0, 39152, 0, 0, 80032, 0, -59328, 0, 0, -23544, 0, 517312, 0, 0, -88000, 0, 26840, 0, 0, -584632, 0, 118560, 0, 0, -99744, 0, 334192, 0, 0, 313120, 0, 119256, 0, 0, 235168, 0, -42912, 0, 0, 95616, 0, -36280, 0, 0, -258896, 0, 65368, 0, 0, 71016, 0, 72024, 0, 0, -27576, 0, 113584, 0, 0, -535200, 0, 61392, 0, 0, 129592, 0, -61752, 0, 0, -330576, 0, -110088, 0, 0, -221624, 0, 23676, 0, 0, 178032, 0, 36792, 0, 0, 90432, 0, 231120, 0, 0, -245584, 0, -12952, 0, 0, -108688, 0, -23448, 0, 0, -25272, 0, 318720, 0, 0, 41536, 0, 78024, 0, 0, 29528, 0, -132480, 0, 0, 103776, 0, -211984, 0, 0, 646464, 0, 355896, 0, 0, 176696, 0, 0, 0, 0, 12912, 0, -977528, 0, 0, -109360, 0, 24400, 0, 0, 37664, 0, -66456, 0, 0, -79920, 0, -425960, 0, 0, -185520, 0, 82576, 0, 0, -277816, 0, -61008, 0, 0, -44352, 0, -74240, 0, 0, 247424, 0, -77632, 0, 0, -233504, 0, 88848, 0, 0, -122904, 0, 207232, 0, 0, 767088, 0, -42416, 0, 0, 113072, 0, 75912, 0, 0, 28944, 0, 600352, 0, 0, 191584, 0, 130348, 0, 0, 106096, 0, 5328, 0, 0, 117912, 0, 213488, 0, 0, -137776, 0, -538848, 0, 0, -65824, 0, 55008, 0, 0, -186192, 0, -349792, 0, 0, -21552, 0, -225560, 0, 0, 269872, 0, 159840, 0, 0, -27216, 0], "hecke_cutter_primes": [2, 7], "level_primes": [3, 5, 11], "relative_dim": 92, "hecke_orbit_code": 137506063161, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 3, "prim_orbit_index": 2, "conrey_index": 199, "newforms": ["825.4.c.a", "825.4.c.b", "825.4.c.c", "825.4.c.d", "825.4.c.e", "825.4.c.f", "825.4.c.g", "825.4.c.h", "825.4.c.i", "825.4.c.j", "825.4.c.k", "825.4.c.l", "825.4.c.m", "825.4.c.n", "825.4.c.o", "825.4.c.p", "825.4.c.q", "825.4.c.r", "825.4.c.s"], "oldspaces": [[25, 2, 24, 4]]}