# Stored data for newspace 405.4.b, downloaded from the LMFDB on 25 April 2024. {"label": "405.4.b", "level": 405, "weight": 4, "char_conductor": 5, "char_degree": 1, "char_parity": 1, "sturm_bound": 216, "dim": 68, "eis_dim": 24, "eis_new_dim": 8, "cusp_dim": 150, "mf_dim": 174, "char_order": 2, "char_orbit_label": "b", "char_is_real": true, "trace_bound": 5, "num_forms": 6, "Nk2": 6480, "analytic_conductor": 23.89577355232495, "level_radical": 15, "mf_new_dim": 76, "char_values": [405, 2, [326, 82], [2, 1]], "hecke_orbit_dims": [4, 8, 8, 16, 16, 16], "trace_display": [0, 0, 0, 0], "traces": [68, 0, 0, -252, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 868, 0, 0, -8, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 76, 0, 0, -424, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, -508, 0, 0, -1180, 0, 0, 0, 0, 0, 1182, 0, 0, 0, 0, 0, 1444, 0, 0, -3028, 0, 0, 0, 0, 0, 1356, 0, 0, 0, 0, 0, -2232, 0, 0, 1444, 0, 0, 0, 0, 0, -410, 0, 0, 0, 0, 0, 204, 0, 0, -6340, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 3032, 0, 0, -5408, 0, 0, 0, 0, 0, 3922, 0, 0, 0, 0, 0, 6272, 0, 0, -10440, 0, 0, 0, 0, 0, -4056, 0, 0, 0, 0, 0, 14824, 0, 0, 220, 0, 0, 0, 0, 0, -5568, 0, 0, 0, 0, 0, 2020, 0, 0, 10680, 0, 0, 0, 0, 0, -19836, 0, 0, 0, 0, 0, 19940, 0, 0, 4148, 0, 0, 0, 0, 0, 10158, 0, 0, 0, 0, 0, -9620, 0, 0, 23116, 0, 0, 0, 0, 0, -9580, 0, 0, 0, 0, 0, -17208, 0, 0, -80, 0, 0, 0, 0, 0, 3138, 0, 0, 0, 0, 0, -12668, 0, 0, 6236, 0, 0, 0, 0, 0, -29916, 0, 0, 0, 0, 0, 25160, 0, 0, 3100, 0, 0, 0, 0, 0, 6730, 0, 0, 0, 0, 0, 28444, 0, 0, 3708, 0, 0, 0, 0, 0, -9788, 0, 0, 0, 0, 0, 10692, 0, 0, -11448, 0, 0, 0, 0, 0, -1976, 0, 0, 0, 0, 0, 2800, 0, 0, -36544, 0, 0, 0, 0, 0, -23496, 0, 0, 0, 0, 0, 19128, 0, 0, 3624, 0, 0, 0, 0, 0, -30342, 0, 0, 0, 0, 0, 43212, 0, 0, 13328, 0, 0, 0, 0, 0, -2788, 0, 0, 0, 0, 0, -30744, 0, 0, 20316, 0, 0, 0, 0, 0, -43260, 0, 0, 0, 0, 0, -33836, 0, 0, -26644, 0, 0, 0, 0, 0, 17532, 0, 0, 0, 0, 0, -59008, 0, 0, -6224, 0, 0, 0, 0, 0, -22248, 0, 0, 0, 0, 0, 26628, 0, 0, -23760, 0, 0, 0, 0, 0, 84240, 0, 0, 0, 0, 0, 139324, 0, 0, -1088, 0, 0, 0, 0, 0, 35634, 0, 0, 0, 0, 0, -28432, 0, 0, -30016, 0, 0, 0, 0, 0, 11860, 0, 0, 0, 0, 0, 80772, 0, 0, -94208, 0, 0, 0, 0, 0, -14366, 0, 0, 0, 0, 0, 31360, 0, 0, -63152, 0, 0, 0, 0, 0, -65712, 0, 0, 0, 0, 0, 162684, 0, 0, 67540, 0, 0, 0, 0, 0, 2322, 0, 0, 0, 0, 0, -65892, 0, 0, 94136, 0, 0, 0, 0, 0, -120060, 0, 0, 0, 0, 0, -142480, 0, 0, -42024, 0, 0, 0, 0, 0, 55336, 0, 0, 0, 0, 0, -53892, 0, 0, -99612, 0, 0, 0, 0, 0, -23252, 0, 0, 0, 0, 0, 102560, 0, 0, 2452, 0, 0, 0, 0, 0, 163614, 0, 0, 0, 0, 0, 54864, 0, 0, 133952, 0, 0, 0, 0, 0, 21552, 0, 0, 0, 0, 0, 5216, 0, 0, -116244, 0, 0, 0, 0, 0, 50980, 0, 0, 0, 0, 0, 23032, 0, 0, -164736, 0, 0, 0, 0, 0, -81384, 0, 0, 0, 0, 0, -22536, 0, 0, -80796, 0, 0, 0, 0, 0, -64568, 0, 0, 0, 0, 0, 168772, 0, 0, 203700, 0, 0, 0, 0, 0, 55836, 0, 0, 0, 0, 0, -187672, 0, 0, 141344, 0, 0, 0, 0, 0, -89544, 0, 0, 0, 0, 0, -177512, 0, 0, 25416, 0, 0, 0, 0, 0, 93044, 0, 0, 0, 0, 0, -324312, 0, 0, -62348, 0, 0, 0, 0, 0, -41956, 0, 0, 0, 0, 0, 95680, 0, 0, 101912, 0, 0, 0, 0, 0, 237256, 0, 0, 0, 0, 0, 126232, 0, 0, 122460, 0, 0, 0, 0, 0, -4638, 0, 0, 0, 0, 0, -31856, 0, 0, -151340, 0, 0, 0, 0, 0, -74580, 0, 0, 0, 0, 0, -57276, 0, 0, -111876, 0, 0, 0, 0, 0, -9020, 0, 0, 0, 0, 0, 19588, 0, 0, -95800, 0, 0, 0, 0, 0, -255420, 0, 0, 0, 0, 0, 335264, 0, 0, 171580, 0, 0, 0, 0, 0, 96666, 0, 0, 0, 0, 0, 6036, 0, 0, 418428, 0, 0, 0, 0, 0, -287712, 0, 0, 0, 0, 0, -195300, 0, 0, -71720, 0, 0, 0, 0, 0, 89052, 0, 0, 0, 0, 0, -202532, 0, 0, 196680, 0, 0, 0, 0, 0, -16628, 0, 0, 0, 0, 0, -125248, 0, 0, -163652, 0, 0, 0, 0, 0, 245482, 0, 0, 0, 0, 0, 216864, 0, 0, 324280, 0, 0, 0, 0, 0, 33320, 0, 0, 0, 0, 0, -178704, 0, 0, -298432, 0, 0, 0, 0, 0, -162750, 0, 0, 0, 0, 0, 67960, 0, 0, -257472, 0, 0, 0, 0, 0, -42984, 0, 0, 0, 0, 0, 113088, 0, 0, -53108, 0, 0, 0, 0, 0, -139070, 0, 0, 0, 0, 0, 37376, 0, 0, 512712, 0, 0, 0, 0, 0, 100400, 0, 0, 0, 0, 0, -279764, 0, 0, 309604, 0, 0, 0, 0, 0, -157844, 0, 0, 0, 0, 0, -235212, 0, 0, 6616, 0, 0, 0, 0, 0, 618900, 0, 0, 0, 0, 0, -410548, 0, 0, 109620, 0, 0, 0, 0, 0, 199152, 0, 0, 0, 0, 0, 184160, 0, 0, -392864, 0, 0, 0, 0, 0, 334632, 0, 0, 0, 0, 0, -148140, 0, 0, 132976, 0, 0, 0, 0, 0, 34074, 0, 0, 0, 0, 0, 104416, 0, 0, -468712, 0, 0, 0, 0, 0, -88200, 0, 0, 0, 0, 0, -196680, 0, 0, -451548, 0, 0, 0, 0, 0, 22782, 0, 0, 0, 0, 0, 135720, 0, 0, -516852, 0, 0, 0, 0, 0, -216372, 0, 0, 0, 0, 0, 223124, 0, 0, 56808, 0, 0, 0, 0, 0, 183298, 0, 0, 0, 0, 0, -159632, 0, 0, 950184, 0, 0, 0, 0, 0, -207004], "hecke_cutter_primes": [2, 11], "level_primes": [3, 5], "relative_dim": 68, "hecke_orbit_code": 68786586005, "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": 244, "newforms": ["405.4.b.a", "405.4.b.b", "405.4.b.c", "405.4.b.d", "405.4.b.e", "405.4.b.f"], "oldspaces": []}