# Stored data for newform 966.2.s.b, downloaded from the LMFDB on 19 April 2024.
{"label": "966.2.s.b", "space_label": "966.2.s", "level": 966, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504836611507142, "dim": 160, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [4529399265708580274176, 0, -6342096584883003628716032, 0, 2551590775481800166020808704, 0, 982364185142282852308437237760, 0, 270434479902984504682817468497920, 0, -2754589985895473837179434575480832, 0, 499204281561048245923742676784795136, 0, -7344610151413333573983315054354582208, 0, 294846525155527149039401670153718978096, 0, -1162927173091604395401840611586196944196, 0, 2878333926182045830184243283539470405969, 0, 34937457691780648604568890917555848006862, 0, 365579755701823381532954608159800688967739, 0, 4853406940163709692728024218293565596833523, 0, 30857552918329567029020862453933349834788669, 0, 174319702000021173985362298089762738003496266, 0, 973600307567829431976385151998988514965409442, 0, 3971873024721326199318678188585395315925182002, 0, 11183736577765821589047186916716439874496601328, 0, 22829022548323840202096090739610145524340578792, 0, 36122181894393806661461362200065653887300816625, 0, 47491778351058690308692055489211642149094426332, 0, 54529376599652314246914935270795871341538662114, 0, 54932510661839815771629506506036850703801293256, 0, 47761115478520800859340617860012072047017339570, 0, 35797939184167658403833238394333191334854120132, 0, 24106837982461327555732087127523177104090211448, 0, 15956539702679610880651022908297666981958825668, 0, 11285733319468518097688889903967074671914572366, 0, 8390800105810727670806991485054545564662586862, 0, 5897268975319906880869012369169549240407920646, 0, 3562391851988814190977071074514565996204373480, 0, 1842413691817125974992197626249100527337184232, 0, 803975852525616910568694314641996344925222216, 0, 308953834713820938538340895870264743448622269, 0, 106536765847916983310469374063889494987519070, 0, 34352839444167582494482667459765429484389083, 0, 9831363931552475827712952483372531611700691, 0, 2457166463979496920891029651203823257152651, 0, 614591742514720057110918732886489614255456, 0, 147615974174560842176383677429618864566005, 0, 29493612794329359618486702450245313793468, 0, 6050117231123276946975620180831954753548, 0, 1366872686270358502571167808934628244045, 0, 278224624800343474536109070942199838752, 0, 47508540359236507632975944545419663403, 0, 8973080907015499024322536484072391877, 0, 1759685831355918240273496767241115015, 0, 239245875584920915791892145931349768, 0, 22389978275152802511624030791230815, 0, 2605800924620339728122568269858092, 0, 403118557277810656444515741799408, 0, 65129705205632362615771101916357, 0, 8337618964520744531695414741708, 0, 847693843372841480527658457193, 0, 78959041443359064842752532592, 0, 8478677035771333129605165487, 0, 1061734895282874778666161480, 0, 125834723141412202147249020, 0, 12919702697768331271578790, 0, 1207791320273428039271901, 0, 107082458738739320067840, 0, 10111631996524135144156, 0, 973504480572869404019, 0, 92133320064638887057, 0, 8227383255745571521, 0, 693597129453377933, 0, 55589326531980967, 0, 4279627644628890, 0, 320773572699935, 0, 23702316110051, 0, 1725815359200, 0, 123509486830, 0, 8294635989, 0, 515317500, 0, 28776270, 0, 1436477, 0, 62448, 0, 2282, 0, 64, 0, 1]]], "char_order": 22, "char_parity": 1, "char_degree": 10, "char_conductor": 161, "char_orbit_label": "s", "char_is_real": false, "Nk2": 3864, "analytic_conductor": 7.713548835255685, "level_radical": 966, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [966, 22, [323, 829, 925], [22, 11, 1]], "inner_twist_count": 4, "level_primes": [2, 3, 7, 23], "conrey_indexes": [97, 181, 433, 475, 517, 559, 727, 769, 895, 937], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c22", "trace_display": [16, 0, 0, 0], "traces": [160, 16, 0, -16, 0, 0, 0, 16, 16, 0, 0, 0, 0, 22, 0, -16, 0, -16, 0, 0, 0, 0, -52, 0, -48, 0, 0, 22, -12, 0, 0, 16, 0, 0, 22, 16, 22, 0, -4, 0, 0, 0, 154, 0, 0, 8, 0, 0, 0, 4, 22, 0, 88, 0, 0, 0, 22, 56, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 16, -16, 0, 22, 0, 0, -72, 4, 88, 0, -16, 0, 0, -22, -68, -44, 0, 44, 0, 0, 0, -8, -8, 0, -66, 0, 0, 66, -66, -4, 0, 88, 0, 0, 82, -44, 176, 0, 220, 0, 0, 0, -88, 0, 0, 76, 0, 0, 66, 0, -8, 0, 128, 0, 0, 22, -328, 16, 0, 88, 0, 0, 106, -88, 0, 0, 0, 0, 0, 22, -68, -16, 0, 16, 0, 0, 0, 44, -198, 0, -388, 0, 0, -126, -88, -4, 0, -132, 0, 0, 116, -160, -124, 0, 22, 0, 0, 0, -236, -86, 0, -88, 0, 0, -110, 0, -154, 0, -70, 0, 0, -132, 0, -36, 0, 8, 0, 0, 0, -44, 0, 0, -30, 0, 0, 22, -64, 0, 0, -18, 0, 0, -132, -22, 154, 0, 8, 0, 0, 28, 132, -44, 0, 0, 0, 0, -198, 0, 8, 0, -286, 0, 0, 0, 48, -44, 0, -22, 0, 0, 16, 56, 216, 0, 88, 0, 0, -88, 424, 0, 0, -80, 0, 0, -198, 136, 0, 0, -88, 0, 0, 0, 332, -24, 0, -16, 0, 0, -138, 132, -10, 0, -308, 0, 0, 48, 242, 0, 0, -22, 0, 0, -66, 0, 0, 0, 124, 0, 0, 22, 132, 24, 0, 16, 0, 0, 154, -16, -108, 0, -220, 0, 0, 0, -44, 0, 0, 0, 0, 0, 322, -52, -132, 0, 244, 0, 0, 38, -44, 22, 0, 4, 0, 0, -44, 0, -364, 0, -44, 0, 0, 126, -144, -16, 0, -118, 0, 0, -176, 132, -160, 0, -44, 0, 0, 0, 44, -204, 0, 86, 0, 0, 66, 0, -72, 0, -304, 0, 0, -110, 4, -66, 0, 0, 0, 0, -32, 92, 374, 0, 24, 0, 0, -88, 132, 44, 0, -8, 0, 0, -82, 14, -176, 0, 264, 0, 0, 0, -264, 198, 0, -22, 0, 0, -66, 30, 44, 0, 0, 0, 0, 44, -72, 240, 0, 0, 0, 0, -258, -48, 176, 0, -118, 0, 0, 220, -276, 0, 0, 440, 0, 0, 0, -8, 208, 0, 4, 0, 0, -6, -264, 132, 0, 88, 0, 0, 292, 0, 308, 0, 858, 0, 0, 22, 352, 0, 0, -96, 0, 0, 66, -286, -460, 0, 714, 0, 0, 22, -484, 18, 0, 0, 0, 0, 540, 0, -308, 0, 0, 0, 0, -16, -104, -12, 0, 224, 0, 0, -258, -220, -22, 0, 112, 0, 0, -44, -22, -424, 0, 0, 0, 0, 226, -228, 224, 0, 80, 0, 0, -110, 56, 18, 0, 0, 0, 0, 418, 44, 292, 0, 0, 0, 0, -22, 0, 284, 0, -328, 0, 0, 154, 16, 0, 0, 56, 0, 0, 6, -276, 88, 0, 32, 0, 0, -22, 264, 44, 0, -76, 0, 0, 194, 680, 242, 0, 22, 0, 0, -66, 0, 532, 0, -264, 0, 0, -154, 404, 0, 0, -132, 0, 0, 56, 360, 238, 0, -66, 0, 0, -88, -100, -44, 0, -68, 0, 0, 0, 6, 176, 0, 440, 0, 0, 0, -344, -160, 0, -288, 0, 0, -32, -88, 68, 0, 132, 0, 0, 44, 88, 132, 0, 0, 0, 0, -154, 198, 0, 0, -408, 0, 0, 140, -88, 52, 0, 0, 0, 0, 22, 196, 36, 0, -616, 0, 0, -38, -88, -22, 0, 0, 0, 0, 186, -4, -76, 0, 284, 0, 0, 44, 352, -44, 0, -230, 0, 0, -44, 0, -38, 0, 616, 0, 0, 182, 184, 232, 0, 16, 0, 0, 44, 8, -108, 0, 132, 0, 0, 22, 242, -88, 0, 160, 0, 0, -286, 0, -148, 0, 56, 0, 0, 0, 12, -66, 0, 28, 0, 0, 150, 68, -352, 0, 40, 0, 0, -66, -154, 88, 0, 160, 0, 0, 72, -92, 308, 0, 154, 0, 0, -176, -44, -26, 0, 0, 0, 0, -286, 0, 176, 0, 44, 0, 0, 32, -484, 40, 0, 374, 0, 0, -202, -24, 132, 0, -556, 0, 0, -198, 16, 88, 0, 0, 0, 0, 0, 8, 240, 0, -352, 0, 0, -292, -132, -14, 0, 0, 0, 0, 24, 110, -176, 0, 110, 0, 0, -22, -792, 0, 0, -88, 0, 0, -114, -22, -152, 0, 62, 0, 0, -66, 96, -96, 0, -154, 0, 0, -196, -44, -660, 0, 0, 0, 0, 22, 72, -192, 0, 24, 0, 0, -88, -66, 132, 0, -328, 0, 0, -72, -352, 48, 0, 132, 0, 0, -174, -256, -168, 0, -1352, 0, 0, -154, -24, -164, 0, -88, 0, 0, 22, 22, 20, 0, 216, 0, 0, -264, 0, -36, 0, -780, 0, 0, -880, -92, -528, 0, 8, 0, 0, -38, 664, 0, 0, 22, 0, 0, -924, -44, -308, 0, -544, 0, 0, -182, -44, 0, 0, 88, 0, 0, -154, 286, 800, 0, -528, 0, 0, -198, 516, -264, 0, 0, 0, 0, 240, 8, 572, 0, -132, 0, 0, 0, 780, 154, 0, -376, 0, 0, 308, 386, 44, 0, 836, 0, 0, 0, -300, 264, 0, 4, 0, 0, 130, 264, -452, 0, -176, 0, 0, 208, 0, 0, 0, 154, 0, 0, 0, 88, 0, 0, -180, 0, 0, 104, 66, -160, 0, -10, 0, 0, 484, -224, 168, 0, -198, 0, 0, 258, 0, -44, 0, 0, 0, 0, -38, 108, -16, 0, 624, 0, 0, -44, -308, 0, 0, -38, 0, 0, 416, -22, -762, 0, 176, 0, 0, 236, -800, -80, 0, 128, 0, 0, 440, 316, 136, 0, 0, 0, 0, 264, 22, 384, 0, -18, 0, 0, -66, 0, -228, 0, -476, 0, 0, 418, 354, 0, 0, 236, 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, 23, 4, -1, 22, 0], [1, 1, 161, 11, 1, 22, 0]], "char_orbit_index": 19, "prim_orbit_index": 11, "minimal_twist": "966.2.s.b", "char_is_minimal": true, "conrey_index": 97, "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}