# Stored data for newform 230.3.f.b, downloaded from the LMFDB on 25 May 2022.
{"level_primes": [2, 5, 23], "sato_tate_group": "2.2.3.c4", "rm_discs": [], "conrey_indexes": [47, 93], "cm_discs": [], "level_radical": 230, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 3, "is_cm": false, "hecke_orbit": 2, "analytic_conductor": 6.267046080286828, "inner_twist_count": 2, "is_rm": false, "char_order": 4, "level_is_square": false, "weight_parity": -1, "label": "230.3.f.b", "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "230.3.f.b", "dim": 24, "traces": [24, 24, 0, 0, 4, 0, 8, -48, 0, 16, -8, 0, -24, 0, -24, -96, -12, 88, 0, 24, -24, -8, 0, 0, -48, -48, 60, -16, 0, 12, 12, -96, 92, 0, 48, 176, -100, 56, 0, 16, 116, -24, -120, 0, -204, 0, 56, 0, 0, -104, 176, -48, -192, 0, 180, -32, 0, 28, 0, 72, -152, 12, 364, 0, 40, 184, 72, 24, 0, -100, -28, 176, -364, 0, 276, 112, -92, -32, 0, -16, -440, 116, 360, 0, 232, -240, 176, 16, 0, -84, -432, 0, 192, 0, 144, 0, -432, -484, 0, -112, -92, 176, -436, 0, -652, -384, -140, -120, 0, -112, -184, 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-5628, 0, 5748, 4224, -6880, 2952, 0, -720, -8880, 2908, 2072, 0, 3724, -4776, 8356, 368, 0, 64, 8696, -2160, -2848, 0, 9384, 128, -184, 3324, 0, -3384, 6844, -968, -2992, 0, 5924, -2376, 5468, 632, 0, -4440, 976, 0, 3772, 0, -4868, 1616, -8924, 1352, 0, 0, -2776, -2384, 932, 0, -9948, -1464, 5368, -112, 0, -3596, 9008, 1912, 60, 0, 2416, -496, 4888, 1772, 0, -288, -11528, 1672, 920, 0, -21168, -112, 4064, -2128, 0, 5720, -4184, 488, -4268, 0, 5548, 1368, -12044, -1248, 0, -288, 5372, -2952, 2236, 0, 3348, 0, -7536, -944, 0, -6848, 7816, -1240, -216, 0, -716, 608, -5068, 3280, 0, 1864, -13592, -532, -5020, 0, 2592, -1744, -4052, -4928, 0, 5040, 3588, -48, -9880, 0, -320, -5344, -3076, -4100, 0, -1904], "has_non_self_twist": 1, "char_values": [230, 4, [47, 51], [1, 4]], "Nk2": 2070, "analytic_rank": 0, "char_orbit_label": "f", "weight": 3, "trace_display": [24, 0, 4, 8], "analytic_rank_proved": true, "char_parity": -1, "level_is_squarefree": true, "level_is_prime": false, "char_is_minimal": true, "self_twist_discs": [], "char_is_real": false, "level_is_prime_power": false, "relative_dim": 12, "hecke_cutters": [[3, [12544000000, 2437120000, 236748800, 2233292800, 27434060900, 10370986200, 1695962632, -2822103268, 2980539441, 409116628, 98882296, -181578172, 127798336, -7051316, 358072, -641452, 804846, -32292, 200, -308, 1676, -20, 0, 0, 1]]], "space_label": "230.3.f", "level": 230, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0]], "char_degree": 2, "char_conductor": 5, "char_orbit_index": 6, "hecke_orbit_code": 4503943275086054, "id": null, "is_polredabs": null, "trace_hash": null, "projective_field": null, "hecke_ring_index_proved": null, "embedded_related_objects": null, "field_disc_factorization": null, "field_poly_is_real_cyclotomic": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "trace_zratio": null, "hecke_ring_index_factorization": null, "artin_image": null, "nf_label": null, "field_poly": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "field_poly_root_of_unity": null, "hecke_ring_index": null, "artin_field": null, "qexp_display": null, "field_disc": null, "hecke_ring_generator_nbound": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "trace_moments": null, "artin_degree": null}