# Stored data for newform 287.3.d.d, downloaded from the LMFDB on 19 April 2024. {"label": "287.3.d.d", "space_label": "287.3.d", "level": 287, "weight": 3, "hecke_orbit": 4, "hecke_orbit_code": 13511005090873631, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-229, 665, -350, -249, 174, 29, -24, -1, 1]], [3, [94792, 0, -1062538, 0, 3004768, 0, -1600486, 0, 366775, 0, -43071, 0, 2678, 0, -83, 0, 1]]], "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 287, "char_orbit_label": "d", "char_is_real": true, "Nk2": 2583, "analytic_conductor": 7.820183587140521, "level_radical": 287, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [287, 2, [206, 211], [1, 1]], "inner_twist_count": 4, "level_primes": [7, 41], "conrey_indexes": [286], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 32, "sato_tate_group": "2.2.3.c2", "trace_display": [4, 0, 0, 0], "traces": [32, 4, 0, 68, 0, 0, 0, -88, 44, 0, 0, 0, 0, 0, 0, -92, 0, -48, 0, 0, -72, 0, 140, 0, -500, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, -284, 312, 0, 140, 0, 0, 8, -120, 0, 0, -344, 0, 0, -552, 416, -364, 0, 0, 0, 0, 0, -316, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 972, 0, 680, 0, 0, 428, 1144, 0, 0, -240, 0, 0, 640, 0, 260, 0, 0, 0, 0, -160, 676, 0, 0, 0, 0, 0, 532, 0, -1180, 0, 1704, 0, 0, -944, 0, 128, 0, 0, 0, 0, 0, 72, 556, 0, 0, 0, 0, -416, 0, -944, 0, 352, 0, 0, 0, 248, -1476, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, 0, 0, 1320, 0, 0, -2536, 0, 0, 0, 264, 0, 0, 0, 0, 0, 696, 1140, 316, 0, 0, 0, 0, 0, -2928, -1080, 0, -748, 0, 0, 1444, -1376, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1312, 0, 340, 0, 0, 0, 0, 356, 0, 0, 0, 0, 0, 0, -2872, 1684, 0, 0, 1228, 0, 0, 396, -1628, 1476, 0, 644, 0, 0, 2416, 0, 0, 0, -1808, 0, 0, 0, 0, 0, 0, 608, 0, 0, 0, -6100, 812, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1012, 0, 0, 0, -176, 0, 0, -1516, -1312, 1844, 0, 0, 0, 0, 0, 0, -2276, 0, -556, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 4404, 0, 0, 0, 0, 0, 0, 0, 0, 0, -912, 0, 0, 0, 0, -2408, 0, 0, 0, 0, 1560, 2964, -1072, 0, 3148, 0, 0, 0, 1532, 3128, 0, 0, 0, 0, 0, 0, 3196, 0, 1100, 0, 0, -1980, 0, 2252, 0, -3132, 0, 0, 0, 0, 0, 0, -908, 0, 0, 0, 204, 1024, 0, 5256, 0, 0, -120, -180, 0, 0, 5376, 0, 0, -736, -272, 2400, 0, 0, 0, 0, 0, -2304, 0, 0, 0, 0, 0, 0, 1488, 0, 0, 0, 0, 0, 0, 0, -1880, 0, -8332, 0, 0, 1120, -3404, 0, 0, 2616, 0, 0, -1876, 0, 452, 0, 0, 0, 0, -4436, -832, 0, 0, 0, 0, 0, 4652, 0, -84, 0, -940, 0, 0, 340, 0, -2232, 0, 0, 0, 0, 0, 176, -2336, 0, 0, 0, 0, 1276, 0, -4004, 0, 96, 0, 0, 0, -5452, -7468, 0, 0, 0, 0, 656, 0, 0, 0, 0, 0, 0, 0, 7176, 0, 0, 1864, 0, 0, 0, 8708, 0, 0, 0, 0, 0, -444, 5004, 668, 0, 0, 0, 0, 0, -1064, 5836, 0, -7788, 0, 0, 1924, -3148, 0, 0, -584, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5912, 0, 3712, 0, 0, 0, 0, -1688, 0, 0, 0, 0, 0, 0, 700, -2608, 0, 0, 6720, 0, 0, 2648, -4436, -1240, 0, -1416, 0, 0, 1040, 0, 0, 0, -852, 0, 0, 0, 0, 0, 0, 4476, 0, 0, 0, 4144, -2092, 0, 3872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1544, 0, 0, 0, -4020, 0, 0, -372, 2512, -5076, 0, 0, 0, 0, 0, 0, 1180, 0, -4056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2488, 9308, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5016, 0, 0, 0, 0, 1748, 0, 0, 0, 0, -3756, -14060, 2068, 0, -16680, 0, 0, 0, 5668, -628, 0, 0, 0, 0, 0, 0, -13076, 0, 3632, 0, 0, -624, 0, 4220, 0, -8576, 0, 0, 0, 0, 0, 0, 7848, 0, 0, 0, -4848, -2744, 0, 6628, 0, 0, 6684, 2136, 0, 0, 7256, 0, 0, -7184, -3048, 1928, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 0, -3188, 0, 0, 0, 0, 0, 0, 0, 6048, 0, -4272, 0, 0, -208, -4128, 0, 0, 9284, 0, 0, -1284, 0, 12320, 0, 0, 0, 0, 3368, -6024, 0, 0, 0, 0, 0, -6516, 0, 2760, 0, -4312, 0, 0, 204, 0, 2420, 0, 0, 0, 0, 0, -2632, 2284, 0, 0, 0, 0, 10980, 0, -11156, 0, -5272, 0, 0, 0, 4268, 1804, 0, 0, 0, 0, 916, 0, 0, 0, 0, 0, 0, 0, 4044, 0, 0, -1672, 0, 0, 0, -3248, 0, 0, 0, 0, 0, 148, -1204, 6640, 0, 0, 0, 0, 0, 5300, 3372, 0, 5732, 0, 0, 2492, -2196, 0, 0, 9432, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2004, 0, 4848, 0, 0, 0, 0, -3136, 0, 0, 0, 0, 0, 0, -3048, 6772, 0, 0, -2056, 0, 0, 2700, 1196, 2792, 0, -7904, 0, 0, -204, 0, 0, 0, 5132, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 928, -4732, 0, 9808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4556, 0, 0, 0, 6680, 0, 0, -4172, 3100, 14928, 0, 0, 0, 0, 0, 0, -8328, 0, 9480, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5700, 3468, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5104, 0, 0, 0, 0, 536, 0, 0, 0, 0, -5720, -14884, 608, 0, -11212, 0, 0, 0, 11776, -16296, 0, 0, 0, 0, 0, 0, -1188, 0, 16508, 0, 0, 172, 0, -16892, 0, -11528, 0, 0, 0, 0, 0, 0, 800, 0, 0, 0, -10948, 2280, 0, 11312, 0, 0, 8824, 17936, 0, 0, 12492, 0, 0, -15472, 384, 2828, 0, 0, 0, 0, 0, 5140, 0, 0, 0, 0, 0, 0, -16608, 0, 0, 0, 0, 0, 0, 0, -11264, 0, -27052, 0, 0, 12192, -16772, 0, 0, -20880, 0, 0, -15940, 0, 10092, 0, 0, 0, 0, 4688, -10372, 0, 0, 0, 0, 0, 9348, 0, -19380, 0, -13200, 0, 0, -2680, 0, 16024, 0, 0, 0, 0, 0, -4056, -7204, 0, 0, 0, 0, 13196, 0, -6228, 0, 48, 0, 0, 0, 8572, -5956, 0, 0, 0, 0, 9636, 0, 0, 0, 0, 0, 0], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 41, 2, 1, 2, 0], [1, 1, 287, 4, -1, 2, 0]], "char_orbit_index": 4, "prim_orbit_index": 4, "minimal_twist": "287.3.d.d", "char_is_minimal": true, "conrey_index": 286, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}