# Stored data for newspace 176.4.e, downloaded from the LMFDB on 20 January 2026. {"Nk2": 2816, "analytic_conductor": 10.384336161010348, "char_conductor": 44, "char_degree": 1, "char_is_real": true, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 2, "char_parity": 1, "char_values": [176, 2, [111, 133, 145], [1, 2, 1]], "conrey_index": 175, "cusp_dim": 66, "dim": 18, "eis_dim": 12, "eis_new_dim": 0, "hecke_cutter_primes": [3, 7], "hecke_orbit_code": 274945015984, "hecke_orbit_dims": [2, 2, 2, 4, 8], "label": "176.4.e", "level": 176, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 11], "level_radical": 22, "mf_dim": 78, "mf_new_dim": 18, "num_forms": 5, "prim_orbit_index": 3, "relative_dim": 18, "sturm_bound": 96, "trace_bound": 7, "trace_display": [0, 0, 0, 0], "traces": [18, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 492, 0, 0, 0, -30, 0, 0, 0, -1380, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2748, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 1218, 0, 0, 0, 0, 0, 0, 0, -768, 0, 0, 0, -3636, 0, 0, 0, 3072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2688, 0, 0, 0, 0, 0, 0, 0, -726, 0, 0, 0, 2316, 0, 0, 0, 0, 0, 0, 0, 1536, 0, 0, 0, 1920, 0, 0, 0, -6144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5376, 0, 0, 0, 0, 0, 0, 0, -4356, 0, 0, 0, -3078, 0, 0, 0, 0, 0, 0, 0, -4764, 0, 0, 0, -3840, 0, 0, 0, 8436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17964, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 13020, 0, 0, 0, 0, 0, 0, 0, 5376, 0, 0, 0, 24246, 0, 0, 0, -4608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14592, 0, 0, 0, 0, 0, 0, 0, -6528, 0, 0, 0, -34620, 0, 0, 0, 0, 0, 0, 0, 2304, 0, 0, 0, -26964, 0, 0, 0, 7680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6798, 0, 0, 0, 0, 0, 0, 0, 39444, 0, 0, 0, 36096, 0, 0, 0, 0, 0, 0, 0, -7680, 0, 0, 0, 21888, 0, 0, 0, -3072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11820, 0, 0, 0, 0, 0, 0, 0, -35328, 0, 0, 0, -64332, 0, 0, 0, 0, 0, 0, 0, -10752, 0, 0, 0, -36096, 0, 0, 0, 12090, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34944, 0, 0, 0, 0, 0, 0, 0, 26880, 0, 0, 0, 61440, 0, 0, 0, 0, 0, 0, 0, 15468, 0, 0, 0, 84900, 0, 0, 0, -39048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64572, 0, 0, 0, 0, 0, 0, 0, -40320, 0, 0, 0, -94848, 0, 0, 0, 0, 0, 0, 0, 5802, 0, 0, 0, -101556, 0, 0, 0, 15360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -70236, 0, 0, 0, 0, 0, 0, 0, 66240, 0, 0, 0, 157836, 0, 0, 0, 0, 0, 0, 0, 16380, 0, 0, 0, 76416, 0, 0, 0, -30720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68352, 0, 0, 0, 0, 0, 0, 0, -112644, 0, 0, 0, -112896, 0, 0, 0, 0, 0, 0, 0, -29694, 0, 0, 0, -84480, 0, 0, 0, 96180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110592, 0, 0, 0, 0, 0, 0, 0, 64512, 0, 0, 0, 170844, 0, 0, 0, 0, 0, 0, 0, 31116, 0, 0, 0, 162816, 0, 0, 0, -86784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 154368, 0, 0, 0, 0, 0, 0, 0, -54144, 0, 0, 0, -187392, 0, 0, 0, 0, 0, 0, 0, -59628, 0, 0, 0, -279252, 0, 0, 0, 80802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124032, 0, 0, 0, 0, 0, 0, 0, 114624, 0, 0, 0, 175872, 0, 0, 0, 0, 0, 0, 0, 15360, 0, 0, 0, 144384, 0, 0, 0, -102324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 205740, 0, 0, 0, 0, 0, 0, 0, -140928, 0, 0, 0, -202752, 0, 0, 0, 0, 0, 0, 0, -13080, 0, 0, 0, -163584, 0, 0, 0, 177588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -268386, 0, 0, 0, 0, 0, 0, 0, 80832, 0, 0, 0, 261120, 0, 0, 0, 0, 0, 0, 0, 41472, 0, 0, 0, 363588, 0, 0, 0, -245796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 198972, 0, 0, 0, 0, 0, 0, 0, -107904, 0, 0, 0, -302460, 0, 0, 0, 0, 0, 0, 0, -76416, 0, 0, 0, -299520, 0, 0, 0, 109572, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -244608, 0, 0, 0, 0, 0, 0, 0, 267924, 0, 0, 0, 295680, 0, 0, 0, 0, 0, 0, 0, 207228, 0, 0, 0, 216666, 0, 0, 0, -112128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 297216, 0, 0, 0, 0, 0, 0, 0, -203520, 0, 0, 0, -469260, 0, 0, 0, 0, 0, 0, 0, -27648, 0, 0, 0, -236004, 0, 0, 0, 208896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -172332, 0, 0, 0, 0, 0, 0, 0, 145728, 0, 0, 0, 410112, 0, 0, 0, 0, 0, 0, 0, -88308, 0, 0, 0, 499812, 0, 0, 0, -209664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224256, 0, 0, 0, 0, 0, 0, 0, -191616, 0, 0, 0, -369966, 0, 0, 0, 0, 0, 0, 0, -127488, 0, 0, 0, -434688, 0, 0, 0, 92544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -471708, 0, 0, 0, 0, 0, 0, 0], "weight": 4, "weight_parity": 1, "newforms": ["176.4.e.a", "176.4.e.b", "176.4.e.c", "176.4.e.d", "176.4.e.e"], "oldspaces": [[44, 3, 43, 3]]}