# Stored data for newspace 800.3.b, downloaded from the LMFDB on 25 April 2024.
{"label": "800.3.b", "level": 800, "weight": 3, "char_conductor": 4, "char_degree": 1, "char_parity": -1, "sturm_bound": 360, "dim": 38, "eis_dim": 48, "eis_new_dim": 0, "cusp_dim": 216, "mf_dim": 264, "char_order": 2, "char_orbit_label": "b", "char_is_real": true, "trace_bound": 17, "num_forms": 9, "Nk2": 7200, "analytic_conductor": 21.798421148823753, "level_radical": 10, "mf_new_dim": 38, "char_values": [800, 2, [351, 101, 577], [1, 2, 2]], "hecke_orbit_dims": [2, 4, 4, 4, 4, 4, 4, 6, 6], "trace_display": [0, 0, 0, 0], "traces": [38, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, -4, 0, 0, 0, 12, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -64, 0, 0, 0, -100, 0, 0, 0, -116, 0, 0, 0, 0, 0, 0, 0, -218, 0, 0, 0, -100, 0, 0, 0, 160, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -20, 0, 0, 0, 32, 0, 0, 0, 358, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, -224, 0, 0, 0, -340, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -404, 0, 0, 0, 76, 0, 0, 0, -260, 0, 0, 0, -314, 0, 0, 0, 0, 0, 0, 0, 736, 0, 0, 0, 256, 0, 0, 0, 492, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -404, 0, 0, 0, -564, 0, 0, 0, 1212, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, -238, 0, 0, 0, -4, 0, 0, 0, -1248, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, -1984, 0, 0, 0, 652, 0, 0, 0, -1348, 0, 0, 0, 1072, 0, 0, 0, 0, 0, 0, 0, 1456, 0, 0, 0, 1120, 0, 0, 0, 1248, 0, 0, 0, 424, 0, 0, 0, 0, 0, 0, 0, 1756, 0, 0, 0, -180, 0, 0, 0, 1472, 0, 0, 0, -660, 0, 0, 0, 0, 0, 0, 0, -1232, 0, 0, 0, -1568, 0, 0, 0, -1588, 0, 0, 0, -868, 0, 0, 0, 0, 0, 0, 0, -212, 0, 0, 0, 1312, 0, 0, 0, -1540, 0, 0, 0, -1092, 0, 0, 0, 0, 0, 0, 0, 2322, 0, 0, 0, 540, 0, 0, 0, 2432, 0, 0, 0, -672, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, -564, 0, 0, 0, 2204, 0, 0, 0, 1424, 0, 0, 0, 0, 0, 0, 0, -2528, 0, 0, 0, 796, 0, 0, 0, -1620, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -196, 0, 0, 0, 876, 0, 0, 0, -3360, 0, 0, 0, -1434, 0, 0, 0, 0, 0, 0, 0, 732, 0, 0, 0, 1276, 0, 0, 0, 2680, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 3820, 0, 0, 0, -2240, 0, 0, 0, 1340, 0, 0, 0, -196, 0, 0, 0, 0, 0, 0, 0, -2692, 0, 0, 0, -2752, 0, 0, 0, -3424, 0, 0, 0, 3516, 0, 0, 0, 0, 0, 0, 0, -2464, 0, 0, 0, 428, 0, 0, 0, -2688, 0, 0, 0, 2118, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, 0, 96, 0, 0, 0, 3532, 0, 0, 0, -4020, 0, 0, 0, 0, 0, 0, 0, -1056, 0, 0, 0, 256, 0, 0, 0, 4764, 0, 0, 0, 424, 0, 0, 0, 0, 0, 0, 0, -4944, 0, 0, 0, 1304, 0, 0, 0, -2976, 0, 0, 0, -2432, 0, 0, 0, 0, 0, 0, 0, -3300, 0, 0, 0, 448, 0, 0, 0, -2080, 0, 0, 0, -1764, 0, 0, 0, 0, 0, 0, 0, 2662, 0, 0, 0, 728, 0, 0, 0, 2144, 0, 0, 0, 4620, 0, 0, 0, 0, 0, 0, 0, 956, 0, 0, 0, -832, 0, 0, 0, 2076, 0, 0, 0, 2800, 0, 0, 0, 0, 0, 0, 0, -260, 0, 0, 0, -5536, 0, 0, 0, -2484, 0, 0, 0, 5024, 0, 0, 0, 0, 0, 0, 0, -7200, 0, 0, 0, 300, 0, 0, 0, -5824, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 6720, 0, 0, 0, -580, 0, 0, 0, 1228, 0, 0, 0, -6688, 0, 0, 0, 0, 0, 0, 0, 2312, 0, 0, 0, -3904, 0, 0, 0, 6044, 0, 0, 0, -1828, 0, 0, 0, 0, 0, 0, 0, -896, 0, 0, 0, 3740, 0, 0, 0, -5204, 0, 0, 0, 1564, 0, 0, 0, 0, 0, 0, 0, -2144, 0, 0, 0, 3116, 0, 0, 0, -580, 0, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 7848, 0, 0, 0, 6176, 0, 0, 0, 5304, 0, 0, 0, 4156, 0, 0, 0, 0, 0, 0, 0, 2332, 0, 0, 0, -608, 0, 0, 0, 2240, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 214, 0, 0, 0, -7236, 0, 0, 0, -4096, 0, 0, 0, -6112, 0, 0, 0, 0, 0, 0, 0, -2272, 0, 0, 0, 1984, 0, 0, 0, -3780, 0, 0, 0, -4388, 0, 0, 0, 0, 0, 0, 0, -2676, 0, 0, 0, -3012, 0, 0, 0, 5792, 0, 0, 0, -2272, 0, 0, 0, 0, 0, 0, 0, 10560, 0, 0, 0, -2024, 0, 0, 0, 1884, 0, 0, 0, -3428, 0, 0, 0, 0, 0, 0, 0, -3780, 0, 0, 0, 3680, 0, 0, 0, -3104, 0, 0, 0, -2724, 0, 0, 0, 0, 0, 0, 0, 1036, 0, 0, 0, -1556, 0, 0, 0, -1344, 0, 0, 0, 10114, 0, 0, 0, 0, 0, 0, 0, -2160, 0, 0, 0, 5628, 0, 0, 0, 44, 0, 0, 0, 4928, 0, 0, 0, 0, 0, 0, 0, -2240, 0, 0, 0, 1772, 0, 0, 0, 764, 0, 0, 0, 7228, 0, 0, 0, 0, 0, 0, 0, -9568, 0, 0, 0, -3904, 0, 0, 0, -672, 0, 0, 0, 1512, 0, 0, 0, 0, 0, 0, 0, -1972, 0, 0, 0, 4160, 0, 0, 0, -4640, 0, 0, 0, -3792, 0, 0, 0, 0, 0, 0, 0, -2036, 0, 0, 0, -608, 0, 0, 0, 972, 0, 0, 0, 2476, 0, 0, 0, 0, 0, 0, 0, 936, 0, 0, 0, 588, 0, 0, 0, 3968, 0, 0, 0, 3110, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 5696, 0, 0, 0, 3628, 0, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, -1696, 0, 0, 0, 2560, 0, 0, 0, -676, 0, 0, 0], "hecke_cutter_primes": [3, 13], "level_primes": [2, 5], "relative_dim": 38, "hecke_orbit_code": 68769809184, "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": 351, "newforms": ["800.3.b.a", "800.3.b.b", "800.3.b.c", "800.3.b.d", "800.3.b.e", "800.3.b.f", "800.3.b.g", "800.3.b.h", "800.3.b.i"], "oldspaces": [[16, 3, 15, 6], [32, 3, 31, 3]]}