# Stored data for newspace 756.4.f, downloaded from the LMFDB on 23 October 2025.
{"Nk2": 12096, "analytic_conductor": 44.605443964339905, "char_conductor": 21, "char_degree": 1, "char_is_real": true, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 2, "char_parity": 1, "char_values": [756, 2, [379, 29, 325], [2, 1, 1]], "conrey_index": 377, "cusp_dim": 414, "dim": 32, "eis_dim": 36, "eis_new_dim": 0, "hecke_cutter_primes": [5, 13], "hecke_orbit_code": 343664493300, "hecke_orbit_dims": [2, 2, 4, 8, 16], "label": "756.4.f", "level": 756, "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, 3, 7], "level_radical": 42, "mf_dim": 450, "mf_new_dim": 32, "num_forms": 5, "prim_orbit_index": 3, "relative_dim": 32, "sturm_bound": 576, "trace_bound": 7, "trace_display": [0, 0, 0, 10], "traces": [32, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -760, 0, 0, 0, 0, 0, -1276, 0, 0, 0, 0, 0, 476, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 916, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1120, 0, 0, 0, 0, 0, -2352, 0, 0, 0, 0, 0, 2964, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2612, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -464, 0, 0, 0, 0, 0, -1388, 0, 0, 0, 0, 0, 3534, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1148, 0, 0, 0, 0, 0, -11752, 0, 0, 0, 0, 0, 2776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 860, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -924, 0, 0, 0, 0, 0, -9196, 0, 0, 0, 0, 0, 4734, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12192, 0, 0, 0, 0, 0, -12780, 0, 0, 0, 0, 0, 17164, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13412, 0, 0, 0, 0, 0, -3768, 0, 0, 0, 0, 0, -16556, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28012, 0, 0, 0, 0, 0, 30596, 0, 0, 0, 0, 0, -38048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19480, 0, 0, 0, 0, 0, 55112, 0, 0, 0, 0, 0, 16506, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41004, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15708, 0, 0, 0, 0, 0, -38432, 0, 0, 0, 0, 0, -37560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -113436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26612, 0, 0, 0, 0, 0, 58828, 0, 0, 0, 0, 0, 19850, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 59868, 0, 0, 0, 0, 0, -11298, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14144, 0, 0, 0, 0, 0, -76784, 0, 0, 0, 0, 0, -34534, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51844, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16524, 0, 0, 0, 0, 0, 93564, 0, 0, 0, 0, 0, -28824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34160, 0, 0, 0, 0, 0, 50620, 0, 0, 0, 0, 0, 146298, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 241236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28980, 0, 0, 0, 0, 0, -210940, 0, 0, 0, 0, 0, -116358, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -131352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -109840, 0, 0, 0, 0, 0, 161640, 0, 0, 0, 0, 0, -100182, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -95408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39332, 0, 0, 0, 0, 0, 81572, 0, 0, 0, 0, 0, 143500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 163908, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116436, 0, 0, 0, 0, 0, -321600, 0, 0, 0, 0, 0, 9144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -151268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -158088, 0, 0, 0, 0, 0, 146092, 0, 0, 0, 0, 0, 23264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -49104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136876, 0, 0, 0, 0, 0, 3020, 0, 0, 0, 0, 0, 218102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 215672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33428, 0, 0, 0, 0, 0, -452716, 0, 0, 0, 0, 0, -108804, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -51196, 0, 0, 0, 0, 0, 248380, 0, 0, 0, 0, 0, -73542, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27860, 0, 0, 0, 0, 0, 0, 0, 0, 0], "weight": 4, "weight_parity": 1, "newforms": ["756.4.f.a", "756.4.f.b", "756.4.f.c", "756.4.f.d", "756.4.f.e"], "oldspaces": [[21, 3, 20, 9], [42, 4, 41, 6], [63, 3, 62, 6], [84, 6, 41, 3], [126, 4, 125, 4], [189, 3, 188, 3], [252, 6, 125, 2], [378, 4, 377, 2]]}