# Stored data for newform 950.2.bg.a, downloaded from the LMFDB on 23 April 2024.
{"label": "950.2.bg.a", "space_label": "950.2.bg", "level": 950, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 2199056810934, "dim": 1200, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 90, "char_parity": 1, "char_degree": 24, "char_conductor": 475, "char_orbit_label": "bg", "char_is_real": false, "Nk2": 3800, "analytic_conductor": 7.585788192021637, "level_radical": 190, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [950, 90, [77, 401], [63, 40]], "inner_twist_count": 4, "level_primes": [2, 5, 19], "conrey_indexes": [9, 119, 139, 169, 289, 309, 329, 339, 359, 389, 479, 519, 529, 579, 669, 689, 709, 719, 739, 769, 859, 879, 909, 929], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 50, "sato_tate_group": "1.2.3.c90", "trace_display": [0, 0, 0, 0], "traces": [1200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 90, 0, 0, 0, 0, 12, 0, -60, -60, 0, -96, 0, 0, 0, -36, 0, 0, 0, -60, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, -60, -60, 0, 660, -24, 120, 0, 0, 36, 36, 48, 0, 0, -36, -30, -144, 0, 0, -150, 120, 96, 0, 0, 48, -60, -120, 0, 0, 0, 0, 0, 0, 0, -48, 0, -96, 0, -30, 78, -192, 0, 60, 0, -72, -36, 0, 60, 0, -96, -24, 0, -180, -240, -192, -24, -60, 0, 0, 0, 156, 0, 0, 0, 144, -60, -60, 0, 0, -48, -72, -24, 240, 0, -108, -36, 60, 0, 60, 0, -102, 288, 240, 0, -54, 48, 144, 0, -540, 48, 408, 0, -90, -180, -54, -30, -12, 0, 0, -150, 72, 0, 180, 0, 0, -132, -72, 0, 300, 72, -216, -24, 0, -120, 0, 0, 48, 0, -120, 48, -84, -48, -150, 0, 216, -240, 0, 300, 0, 0, -240, 0, -1020, 0, 12, -54, -120, 0, 0, 0, 18, 90, -360, 0, -516, -12, -48, 0, 0, -72, 282, 0, 420, 0, -144, -12, -120, 0, -480, 60, -468, 90, 0, 0, -72, 48, -120, 90, 240, 0, 126, 0, 0, 0, -180, 36, -48, -240, -180, 0, 252, 144, 0, 0, -96, -348, -456, 0, 180, 0, 246, 0, 210, -60, 84, 0, -288, 0, 0, 48, -288, 144, -120, 0, -360, -72, 336, 0, -180, 54, -678, 0, 0, -60, 6, 144, 438, 270, 450, -96, 300, -78, -360, 0, -168, -174, 96, 0, 0, -360, -240, 48, -180, 0, 612, 12, -60, 0, -600, 0, -492, 216, -240, 0, 12, -48, -96, 0, 0, -336, 6, 0, 0, 60, -84, 72, -48, -630, -480, 72, 24, 180, 0, -240, -48, -276, -102, 0, -660, -174, 48, 0, 120, 0, 60, 0, 474, 0, 420, -1152, 120, 0, 180, 0, 228, 378, -216, 0, -90, 0, -138, 0, -600, -420, -354, -108, -48, 840, 0, 0, 858, -72, -330, 450, 180, 24, 312, 0, 30, 96, -396, 54, 0, 240, -402, 72, -288, -600, -120, 0, 18, -108, 540, 0, 84, 204, -108, 0, 0, 0, 162, -48, 180, -420, 144, 72, -240, 0, 240, 0, -1002, 360, -300, 0, -420, -42, 366, 60, 0, 114, 18, 144, 210, 300, -300, -12, 408, 240, -420, -90, 1260, 60, 0, 0, 24, -552, -96, 60, 450, 360, -624, 0, -240, 0, -24, 24, -432, 0, 0, 0, 36, 696, 0, 90, -324, 108, 264, 0, 1080, -72, -432, 72, 270, 240, 240, -30, -660, 360, 0, 72, 282, -300, 990, -30, -144, 36, -288, 420, -90, 288, 1152, 144, 0, 300, 654, 294, 378, 720, 390, 36, 774, -216, 270, 0, 552, 48, -972, 120, 840, 960, 666, -192, 1200, 720, 414, 18, 138, 0, 420, 300, 600, 0, -60, -120, 366, 942, 0, 360, 0, -18, 192, 0, 660, 480, 1896, 180, -192, 300, 360, 0, 288, -198, 0, 300, 294, 714, -456, 0, -90, 384, 192, -36, 630, 0, 0, -120, -192, -1140, -90, -60, -6, 48, 30, 60, 72, 372, 756, 0, 780, -90, 330, 54, 1740, 480, -252, -30, 336, 0, 0, 24, -1212, 408, -1500, -90, 132, 408, 132, 0, -360, 48, -408, -36, 0, -420, -60, -60, 204, 180, 0, -72, -480, 12, -450, 0, 48, 288, -180, -240, -540, 360, 0, 0, -450, 0, -108, 324, -246, 0, 300, 0, -132, 48, 780, 480, -180, -684, -36, -60, 0, -216, 0, 156, -390, 120, 144, -72, 0, 0, -180, -84, -246, 696, 0, 0, 720, -48, 240, 0, -720, 0, -726, -48, 0, 0, 54, -108, 504, 300, 180, -48, 768, -1728, -150, -60, -96, -996, 144, 0, -1110, -96, 228, 312, -600, -240, -252, 0, 786, -240, 0, 72, -1296, 204, 480, 0, -1008, 1170, -3084, -270, -360, -48, -960, 0, 0, 0, -120, -330, 144, -930, 1350, -120, 312, 780, 360, 0, 1104, 312, 852, 0, -420, -168, 330, -696, -150, -840, -672, -12, -432, 0, -300, -60, 984, -108, -1590, 0, -144, -732, -276, 180, 0, 288, 468, -72, -60, -630, -432, -210, 0, 0, 0, -24, -1242, 180, 0, 120, -390, 0, -168, -120, 1020, -72, 216, -24, -390, 0, -72, -96, 660, 0, -1740, 120, 144, -216, 180, -150, 174, -360, -546, 0, 120, 450, 1206, 0, -210, 600, -462, -288, -558, -540, 0, 60, -564, -192, 570, -90, -828, 108, -396, 0, 0, 168, 426, 60, 0, -390, -576, 84, 528, 180, -600, 60, 852, 96, 0, 0, -72, -144, -120, 0, 1860, 12, -306, 96, -1320, -900, -486, -48, -792, 0, 870, 0, -840, -144, -810, -90, -144, 180, 132, 240, 0, -30, -306, 144, -600, -210, 240, 12, 1188, 600, 420, -120, 624, -348, 0, -30, 108, 372, -684, 150, -2520, 168, -348, 48, -1080, 0, 132, -186, -36, -240, 1260, 0, 420, 408, -840, 300, -156, -318, -1062, 0, -780, -480, -1488, 72, -1980, -900, 888, -264, 708, -840, 0, -84, 372, 564, -150, 0, -360, -576, 180, -120, -1020, -168, -480, -336, 0, 960, -288, -318, -888, 0, -630, -54, -1428, 72, 90, 0, -654, 198, 468, 0, 960, -528, 600, -120, 1080, -660, -990, 72, 246, 0, 900, -264, -738, 132, -210, 0, 1080, -366, -516, -1080, 0, -1092, 18, 0, 480, 60, 576, 30, 624, 720, -60, 0, -330, 132, 0, 180, 336, 294, -672, -120, -600, 168, 366, 36, -420, 0, 18, 60, 192, 360, 0, 0, 264, -144, 2880, 0, 852, 672, -636, 0, 1740, -180, 1170, 0, 1320, 300, 420, 228, -162, -420, 0, 24, 966, -96, 510, 210, 936, -1188, 0, -60, 150, -396, 792, 108, 0, 0, 792, 60, 282, -600, 1320, -144, 1530, -84, -540, 0, 336, 312, -912, -450, -330, 192, -948, -12, 1290, 120, 186, 66, -36, 0, -450, 24, 582, -384, 3840, 0, 132, 1212, 120, -60, 0, -240, -456, -342, -1830, -810, 960, -180], "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, 19, 5, 1, 9, 0], [1, 1, 25, 5, 1, 10, 0], [1, 1, 475, 33, 1, 90, 0]], "char_orbit_index": 33, "prim_orbit_index": 33, "minimal_twist": "950.2.bg.a", "char_is_minimal": true, "conrey_index": 9, "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}