# Stored data for newform 930.2.bf.a, downloaded from the LMFDB on 23 April 2024. {"label": "930.2.bf.a", "space_label": "930.2.bf", "level": 930, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 2130337334178, "dim": 256, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 465, "char_orbit_label": "bf", "char_is_real": false, "Nk2": 3720, "analytic_conductor": 7.426087387979075, "level_radical": 930, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [930, 12, [311, 187, 871], [6, 3, 8]], "inner_twist_count": 8, "level_primes": [2, 3, 5, 31], "conrey_indexes": [377, 563, 707, 893], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 64, "sato_tate_group": "1.2.3.c12", "trace_display": [0, 8, 0, -4], "traces": [256, 0, 8, 0, 0, 0, -4, 0, 0, -8, 0, -8, 0, 0, 8, -256, 0, 0, 0, 0, 0, -4, 0, 0, -16, 0, -40, -4, 0, -48, 32, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, -12, 0, 0, -40, 16, 0, -8, 0, 0, -16, 0, 0, 0, 20, 0, 40, 56, 0, -8, -32, 0, 56, 0, 0, 32, -24, 0, 0, 24, 0, 0, 8, 0, -4, 16, 0, -88, 0, 0, -48, 0, 0, 0, 64, 0, -20, -4, 0, -8, 0, 0, -68, 0, 0, 0, 152, 0, 0, -8, 0, 40, 60, 0, 0, 16, 0, -40, 0, 0, 56, 4, 0, 0, -96, 0, 32, 12, 0, 24, 168, 0, -72, 0, 0, -48, 52, 0, 0, 0, 0, 8, 8, 0, -24, -8, 0, 28, 0, 0, -72, 16, 0, 0, -20, 0, 8, 8, 0, -12, -128, 0, -48, 0, 0, -32, -96, 0, 0, 8, 0, 0, 16, 0, 40, -40, 0, -12, 0, 0, -96, 0, 0, 0, 44, 0, -12, -32, 0, 4, 224, 0, -4, 0, 0, -32, -256, 0, 0, 112, 0, 8, 164, 0, 56, -144, 0, -24, 0, 0, -160, 104, 0, 0, 32, 0, 20, 0, 0, -32, 80, 0, -152, 0, 0, 0, 52, 0, 0, 28, 0, 12, 92, 0, 112, 24, 0, 40, 0, 0, 48, -56, 0, 0, 168, 0, 44, -16, 0, -8, 128, 0, 48, 0, 0, -80, 16, 0, 0, -48, 0, -56, -160, 0, 164, 256, 0, -80, 0, 0, 0, -24, 0, 0, -104, 0, -44, -24, 0, 0, 16, 0, 4, 0, 0, -88, -112, 0, 0, 56, 0, -36, -256, 0, 116, -16, 0, 0, 0, 0, 192, -8, 0, 0, -216, 0, -100, -172, 0, 4, -48, 0, 60, 0, 0, 64, -200, 0, 0, 128, 0, 88, -356, 0, -108, 40, 0, 128, 0, 0, 256, 168, 0, 0, -464, 0, 116, 0, 0, -32, 64, 0, -96, 0, 0, 0, 312, 0, 0, -32, 0, 8, -504, 0, -264, 40, 0, -20, 0, 0, 160, 4, 0, 0, 152, 0, 48, 60, 0, -64, 176, 0, -180, 0, 0, 104, -128, 0, 0, 160, 0, 68, -192, 0, -356, -16, 0, 64, 0, 0, -272, 104, 0, 0, -40, 0, 88, 152, 0, -56, -104, 0, 48, 0, 0, -112, 32, 0, 0, 16, 0, -144, 536, 0, -112, -96, 0, 40, 0, 0, 240, -60, 0, 0, 160, 0, -252, 256, 0, 52, -80, 0, 92, 0, 0, -256, -200, 0, 0, -176, 0, 40, 16, 0, -304, 64, 0, 360, 0, 0, 24, 64, 0, 0, 208, 0, -40, 4, 0, 352, 80, 0, 108, 0, 0, 8, 288, 0, 0, 8, 0, 244, 312, 0, 348, -48, 0, 32, 0, 0, -72, -12, 0, 0, 32, 0, -176, 256, 0, 48, -32, 0, 372, 0, 0, -40, -28, 0, 0, 40, 0, 72, 192, 0, 120, -32, 0, 32, 0, 0, -16, -272, 0, 0, 12, 0, -444, 52, 0, 12, -400, 0, -20, 0, 0, 48, -208, 0, 0, 32, 0, 144, -224, 0, 352, -272, 0, 8, 0, 0, 928, -8, 0, 0, 16, 0, -272, -136, 0, 160, -352, 0, -304, 0, 0, 48, 64, 0, 0, 72, 0, -28, -304, 0, 120, 64, 0, -56, 0, 0, 304, 288, 0, 0, -256, 0, 352, 16, 0, 100, 16, 0, -608, 0, 0, 0, -264, 0, 0, 12, 0, 176, 76, 0, 392, 192, 0, 8, 0, 0, -240, -8, 0, 0, -152, 0, -208, 152, 0, -24, -344, 0, 104, 0, 0, 0, -232, 0, 0, 32, 0, 48, -320, 0, -264, -96, 0, 184, 0, 0, -416, -384, 0, 0, 8, 0, 100, -96, 0, 132, -408, 0, -16, 0, 0, 80, -296, 0, 0, 0, 0, 48, 608, 0, 52, 224, 0, 0, 0, 0, 16, -16, 0, 0, 480, 0, 260, 72, 0, 84, -528, 0, 224, 0, 0, -304, -112, 0, 0, 224, 0, 12, 396, 0, -308, -96, 0, -40, 0, 0, -112, 88, 0, 0, 448, 0, -64, 0, 0, -240, 672, 0, 320, 0, 0, 72, -288, 0, 0, 4, 0, -140, -32, 0, 472, 232, 0, -12, 0, 0, -96, 32, 0, 0, 576, 0, -760, -280, 0, 40, -768, 0, -20, 0, 0, 32, 188, 0, 0, -264, 0, 4, -152, 0, 156, -16, 0, -56, 0, 0, -432, -488, 0, 0, 520, 0, -268, -256, 0, -116, -104, 0, -12, 0, 0, 200, 0, 0, 0, -112, 0, -108, -80, 0, 12, 8, 0, 8, 0, 0, 288, -164, 0, 0, -808, 0, 872, -216, 0, -152, 272, 0, -256, 0, 0, 128, 416, 0, 0, -384, 0, 24, -560, 0, -172, -56, 0, 128, 0, 0, -360, 240, 0, 0, -256, 0, 968, 104, 0, -472, -224, 0, -348, 0, 0, 16, 592, 0, 0, -64, 0, -384, 100, 0, -228, -120, 0, 20, 0, 0, 24, 0, 0, 0, -800, 0, 40, 88, 0, -88, -352, 0, 16, 0, 0, -56, 488, 0, 0, -360, 0, 152, 336, 0, -528, 24, 0, 48, 0, 0, 48, 280, 0, 0, -144, 0, 32, 52, 0, 96, -112, 0, 68, 0, 0, 208, -512, 0, 0, -20, 0, -232, 688, 0, 116, -64, 0, 12, 0, 0, 304, -92, 0, 0, -712, 0, 552, -96, 0, 8, 1088, 0, 776, 0, 0, -48, 1248, 0, 0, 192, 0, -40, -116, 0, 136, -32, 0, 384, 0, 0, 40, -40, 0, 0, 360, 0, 268, -56, 0, 120, 1312, 0, 688, 0, 0, -120, -40, 0, 0, -192, 0, -380, 296, 0, 920, -560, 0, 44, 0, 0, -336, 16, 0, 0, -160, 0, -504, -8, 0, 8, -56, 0, 408, 0, 0, -144, -296, 0, 0, -412, 0, -48, -464, 0, -192, 32, 0, -320, 0, 0, 24, -156, 0, 0, 408, 0, 720, 16, 0, -344, 320, 0, 664, 0, 0, 256, -64, 0, 0, 256], "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, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 15, 5, 1, 4, 0], [1, 1, 31, 3, 1, 3, 0], [1, 1, 93, 8, -1, 6, 0], [1, 1, 155, 15, -1, 12, 0], [1, 1, 465, 31, 1, 12, 0]], "char_orbit_index": 32, "prim_orbit_index": 31, "minimal_twist": "930.2.bf.a", "char_is_minimal": true, "conrey_index": 377, "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}