# Stored data for newform 310.3.i.a, downloaded from the LMFDB on 07 June 2024.
{"Nk2": 2790, "analytic_conductor": 8.446888195169205, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 155, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 9, "char_orbit_label": "i", "char_order": 6, "char_parity": -1, "char_values": [310, 6, [187, 251], [3, 5]], "cm_discs": [], "conrey_index": 99, "dim": 64, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 549806145846, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 31, 5, -1, 6, 0], [1, 1, 155, 9, -1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "310.3.i.a", "level": 310, "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": true, "level_primes": [2, 5, 31], "level_radical": 310, "minimal_twist": "310.3.i.a", "prim_orbit_index": 9, "related_objects": [], "relative_dim": 32, "rm_discs": [], "sato_tate_group": "2.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "310.3.i", "trace_display": [0, 0, 6, 0], "traces": [64, 0, 0, -128, 6, 0, 0, 0, -56, -16, 0, 0, 0, 0, 0, 256, 0, 0, -8, -12, -72, 0, 0, 0, -22, 0, 0, 0, 0, 0, 72, 0, 0, -48, 12, 112, 0, 0, -400, 32, -8, 0, 0, 0, 92, 0, 0, 0, 24, 16, 164, 0, 0, 0, 162, 0, 0, 0, 48, 0, 0, 0, 0, -512, -54, -64, 0, 0, -32, 352, -128, 0, 0, 144, 942, 16, 0, 0, -768, 24, -168, 0, 0, 144, 0, -336, 0, 0, 0, -272, 0, 0, 0, 176, -292, 0, 0, 0, -168, 44, 496, 0, 0, 0, -774, 192, 0, 0, -48, 480, -28, 0, 0, 480, -120, 0, 0, 0, 504, 0, 928, 0, 0, -144, -840, -768, 0, 0, 1676, 0, 84, 0, 0, -72, -978, 96, 0, 0, 0, -24, -312, 0, 0, -224, -840, -576, 0, 0, 252, -240, 0, 0, 0, 0, 70, 800, 0, 0, 792, -64, -72, 0, 0, 16, -434, 144, 0, 0, -112, 0, -8, 0, 0, -128, -154, 0, 0, 0, 2124, -184, 672, 0, 0, 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-3656, -472, 0, 0, 2160, 7392, 12328, 0, 0, 8544, 10936, 576, 0, 0, 4152, 0, -20628, 0, 0, 0, -3474, 0, 0, 0, 1400, 2904, -9720, 0, 0, -2688, 3640, 3216, 0, 0, -7872, 648, -20628, 0, 0, 4480, 10686, -6392, 0, 0, -14328, 10176, 0, 0, 0, 3720, 0, 0, 0, 0, -9144, -2064, 3160, 0, 0, 896, -1626, -512, 0, 0, -11192, -3696, -3528, 0, 0, 0, 9088, -2328, 0, 0, 3164, -1440, -16356, 0, 0, -1392, -1302, 0, 0, 0, 0, -896, 7328, 0, 0, -16, 2274, 3744, 0, 0, 684, -2936, 6360, 0, 0, 192, 0, -9280, 0, 0, -1132, 3376, 23868, 0, 0, -8448, 2542, -1824, 0, 0, 0, 0, 12256, 0, 0, 5904, 13876, -3808, 0, 0, 2608, 4400, 15356, 0, 0, -1584, -3342, 0, 0, 0, -1532, 2048, -12032, 0, 0, 0, 7938, -160, 0, 0, -6068, 0, 0, 0, 0, 4704, 12294, -8320, 0, 0, -88, -2176], "weight": 3, "weight_parity": -1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}