# Stored data for newform 99.3.l.a, downloaded from the LMFDB on 24 April 2024.
{"label": "99.3.l.a", "space_label": "99.3.l", "level": 99, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 755964575843, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 10, "char_parity": -1, "char_degree": 4, "char_conductor": 33, "char_orbit_label": "l", "char_is_real": false, "Nk2": 891, "analytic_conductor": 2.697554617166939, "level_radical": 33, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [99, 10, [56, 46], [5, 2]], "inner_twist_count": 4, "level_primes": [3, 11], "conrey_indexes": [26, 53, 71, 80], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "2.2.3.c10", "trace_display": [0, 0, 0, -16], "traces": [32, 0, 0, 16, 0, 0, -16, 0, 0, 48, 0, 0, 8, 0, 0, 96, 0, 0, -40, 0, 0, -60, 0, 0, -188, 0, 0, -348, 0, 0, -164, 0, 0, 296, 0, 0, -36, 0, 0, 48, 0, 0, 544, 0, 0, 296, 0, 0, 196, 0, 0, -640, 0, 0, -440, 0, 0, -208, 0, 0, -432, 0, 0, -328, 0, 0, 48, 0, 0, 112, 0, 0, 712, 0, 0, 2104, 0, 0, 432, 0, 0, 676, 0, 0, -68, 0, 0, -176, 0, 0, 64, 0, 0, -1360, 0, 0, 132, 0, 0, -1120, 0, 0, -736, 0, 0, 260, 0, 0, 680, 0, 0, 332, 0, 0, -500, 0, 0, -1604, 0, 0, -1352, 0, 0, -780, 0, 0, -284, 0, 0, -1028, 0, 0, -344, 0, 0, 1524, 0, 0, -512, 0, 0, 1488, 0, 0, 2064, 0, 0, 416, 0, 0, 1552, 0, 0, -20, 0, 0, -432, 0, 0, -1172, 0, 0, -676, 0, 0, 1752, 0, 0, -780, 0, 0, 1260, 0, 0, 1104, 0, 0, -1660, 0, 0, 452, 0, 0, 564, 0, 0, 656, 0, 0, 364, 0, 0, 816, 0, 0, 916, 0, 0, -1080, 0, 0, 2552, 0, 0, 940, 0, 0, -2976, 0, 0, 392, 0, 0, -244, 0, 0, 788, 0, 0, -372, 0, 0, -792, 0, 0, -228, 0, 0, -1684, 0, 0, -432, 0, 0, -1856, 0, 0, -4700, 0, 0, -3112, 0, 0, -824, 0, 0, -1476, 0, 0, -1584, 0, 0, -928, 0, 0, 1024, 0, 0, 1992, 0, 0, 3540, 0, 0, 520, 0, 0, -100, 0, 0, 2276, 0, 0, 2216, 0, 0, 544, 0, 0, -344, 0, 0, 3036, 0, 0, 5780, 0, 0, 2188, 0, 0, 2632, 0, 0, 2408, 0, 0, -3744, 0, 0, -2328, 0, 0, -548, 0, 0, -6224, 0, 0, -5756, 0, 0, -2280, 0, 0, -1660, 0, 0, -1580, 0, 0, 1292, 0, 0, 4200, 0, 0, -2252, 0, 0, 1904, 0, 0, 1168, 0, 0, -1416, 0, 0, -4656, 0, 0, 464, 0, 0, 3300, 0, 0, 2356, 0, 0, 4484, 0, 0, 804, 0, 0, 2428, 0, 0, 1304, 0, 0, 7656, 0, 0, -2760, 0, 0, 928, 0, 0, -1064, 0, 0, -1952, 0, 0, -2880, 0, 0, 108, 0, 0, -172, 0, 0, 2860, 0, 0, 2984, 0, 0, 3836, 0, 0, -1448, 0, 0, 932, 0, 0, -580, 0, 0, -7232, 0, 0, 796, 0, 0, -2868, 0, 0, 308, 0, 0, -2832, 0, 0, -300, 0, 0, -1016, 0, 0, -2372, 0, 0, -3544, 0, 0, -2332, 0, 0, -9184, 0, 0, -2768, 0, 0, -3064, 0, 0, 2856, 0, 0, -2964, 0, 0, 4676, 0, 0, -2292, 0, 0, -352, 0, 0, 5528, 0, 0, 4328, 0, 0, 4292, 0, 0, 3540, 0, 0, 4864, 0, 0, 1472, 0, 0, 232, 0, 0, 5300, 0, 0, 364, 0, 0, -4416, 0, 0, -2132, 0, 0, -1540, 0, 0, -696, 0, 0, -980, 0, 0, 3140, 0, 0, -7064, 0, 0, -3932, 0, 0, -1680, 0, 0, -1120, 0, 0, -6892, 0, 0, 2888, 0, 0, 2188, 0, 0, -9584, 0, 0, -1336, 0, 0, 620, 0, 0, -3944, 0, 0, 3976, 0, 0, 3596, 0, 0, 7040, 0, 0, 2240, 0, 0, 9404, 0, 0, 6860, 0, 0, -2416, 0, 0, 4256, 0, 0, 5776, 0, 0, 1256, 0, 0, 8680, 0, 0, 12520, 0, 0, 1728, 0, 0, -3572, 0, 0, 1876, 0, 0, 2960, 0, 0, -7200, 0, 0, 1976, 0, 0, 2508, 0, 0, -2888, 0, 0, 2684, 0, 0, 4220, 0, 0, 4560, 0, 0, 1672, 0, 0, -472, 0, 0, -4932, 0, 0, -16604, 0, 0, -6984, 0, 0, -7196, 0, 0, -10308, 0, 0, -13168, 0, 0, -344, 0, 0, -11868, 0, 0, -8896, 0, 0, 4284, 0, 0, -3596, 0, 0, -5412, 0, 0, -2248, 0, 0, 336, 0, 0, -6052, 0, 0, 9800, 0, 0, 624, 0, 0, -4576, 0, 0, 5404, 0, 0, 18448, 0, 0, 8672, 0, 0, -4932, 0, 0, 460, 0, 0, 1784, 0, 0, 1500, 0, 0, -940, 0, 0, -2324, 0, 0, -6736, 0, 0, 2940, 0, 0, 10764, 0, 0, 6096, 0, 0, 544, 0, 0, 9460, 0, 0, -3560, 0, 0, -8588, 0, 0, 8480, 0, 0, -6104, 0, 0, -13984, 0, 0, 1656, 0, 0, -2524, 0, 0, -1000, 0, 0, 2048, 0, 0, -4396, 0, 0, 11092, 0, 0, -3036, 0, 0, 6968, 0, 0, -2000, 0, 0, -2180, 0, 0, 2012, 0, 0, 10192, 0, 0, 1620, 0, 0, -376, 0, 0, 13976, 0, 0, 4196, 0, 0, -9288, 0, 0, 4548, 0, 0, -3668, 0, 0, -6152, 0, 0, -4532, 0, 0, 5832, 0, 0, -10296, 0, 0, 4916, 0, 0, 3324, 0, 0, -184, 0, 0, 3272, 0, 0, 904, 0, 0, 2768, 0, 0, -15916, 0, 0, -1944, 0, 0, -4748, 0, 0, -1648, 0, 0, -1512, 0, 0, 1340, 0, 0, -9464, 0, 0, 1072, 0, 0, 7540, 0, 0, 11948, 0, 0, -7716, 0, 0, 17656, 0, 0, -5388, 0, 0, 3764, 0, 0, 1092, 0, 0, 13672, 0, 0, -2000, 0, 0, 7880, 0, 0, 24504, 0, 0, -6888, 0, 0, -7816, 0, 0, -6676, 0, 0, -4572, 0, 0, 128, 0, 0, -4440, 0, 0, -4284, 0, 0, 2024, 0, 0, -4876, 0, 0, 7700, 0, 0, -14104, 0, 0, 424, 0, 0, -952, 0, 0, -408, 0, 0, -8028, 0, 0, -6180, 0, 0, -6064, 0, 0, -18652, 0, 0, 104, 0, 0, -1764, 0, 0, -17064, 0, 0, -9704, 0, 0, 540, 0, 0, 5692, 0, 0, -2140, 0, 0, 5952, 0, 0, 2132, 0, 0, -2164, 0, 0, 14196, 0, 0, 8024, 0, 0, 12732, 0, 0, 10940, 0, 0, 2056, 0, 0, 2212, 0, 0, 1672, 0, 0, 10072, 0, 0, 7776, 0, 0, -6300, 0, 0, 6016, 0, 0, 6528, 0, 0, 6552, 0, 0, -2756, 0, 0, -1956, 0, 0, -13904], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 11, 3, 1, 5, 0], [1, 1, 33, 8, -1, 10, 0]], "char_orbit_index": 12, "prim_orbit_index": 8, "minimal_twist": "99.3.l.a", "char_is_minimal": true, "conrey_index": 26, "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}