# Stored data for newform 124.5.b.a, downloaded from the LMFDB on 25 April 2024.
{"label": "124.5.b.a", "space_label": "124.5.b", "level": 124, "weight": 5, "hecke_orbit": 1, "hecke_orbit_code": 68803362940, "dim": 60, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 4, "char_orbit_label": "b", "char_is_real": true, "Nk2": 3100, "analytic_conductor": 12.817875422396696, "level_radical": 62, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [124, 2, [63, 65], [1, 2]], "inner_twist_count": 2, "level_primes": [2, 31], "conrey_indexes": [63], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 60, "sato_tate_group": "4.2.3.c2", "trace_display": [6, 0, 24, 0], "traces": [60, 6, 0, -6, 24, 0, 0, 45, -1732, 53, 0, 130, 120, -231, 0, -590, -648, 230, 0, 1113, 608, 1080, 0, -1028, 8340, -1554, 0, -165, -168, -2238, 0, -1674, -1120, 1844, 0, 1966, -2248, -5055, 0, -1716, 6072, 5794, 0, -120, -4040, 8850, 0, 2276, -17604, -4539, 0, 5896, 3480, 5148, 0, -396, -10912, -7484, 0, 22812, 2200, 0, 0, -19299, -9168, -468, 0, -21930, 6496, -9615, 0, -10079, 13752, -2106, 0, 20099, 16608, 39460, 0, -5787, 20732, -30525, 0, -21760, -21200, -13398, 0, 34690, 22296, -25419, 0, -18852, 0, 3196, 0, 20790, 12120, 21921, 0, 26297, 10872, -25428, 0, -38982, -40864, 66920, 0, -33880, -41448, -27774, 0, -21247, 31992, 20990, 0, -35562, -16200, -30021, 0, 119698, -20772, -51126, 0, 0, 18960, 147961, 0, 55866, -11584, 104334, 0, 68336, -24736, -52404, 0, 94888, -13224, -148432, 0, -109593, 38624, 43947, 0, -15646, -12688, -20448, 0, -136538, 23256, -28762, 0, -22704, -115048, 45702, 0, -83992, 107000, -63120, 0, -104223, 45120, -3282, 0, 183819, 18368, -85096, 0, -193922, 85300, 62142, 0, 121688, -127080, 11544, 0, 1608, 41792, 4498, 0, 135645, 154520, -218166, 0, 39478, -93648, 0, 0, -158616, -84736, 84317, 0, -168744, 71416, 54093, 0, 153637, -227592, -191020, 0, 240477, 117248, 143189, 0, -69976, -150768, 63459, 0, -92254, 154176, 279382, 0, -45948, 74816, 121193, 0, 48252, 0, 338523, 0, 157282, 172752, 151104, 0, 76011, -391244, -532799, 0, 204596, 110328, 483090, 0, 61074, 222264, -551974, 0, 49017, -70880, -336830, 0, -285474, -178632, 85866, 0, 330952, -195432, -10798, 0, -43245, -14688, 294601, 0, -244033, 53376, 20226, 0, -214910, -244872, -344468, 0, 209280, 229368, -297096, 0, -253700, 100048, 34647, 0, -215004, 297912, 542748, 0, -113472, 451296, -17284, 0, -637028, 299768, -127464, 0, -557412, -404520, -381172, 0, -303687, -200736, 65936, 0, 1046714, -126188, -514704, 0, -451580, -347880, -345338, 0, 665988, 367168, 33084, 0, 1227566, -172608, 451512, 0, 2601, -406896, 25196, 0, -274350, 125600, 158565, 0, -365552, 177016, 184887, 0, -127234, -88776, 101076, 0, 848832, 393536, -53046, 0, -29938, -475064, 268665, 0, -618200, 126912, 276948, 0, -711048, -381320, 215436, 0, 141718, -211432, 839886, 0, 549960, 0, 1126209, 0, 710352, -208352, 330804, 0, -61256, 657304, -1386828, 0, 597652, 512280, 611554, 0, 204252, -361888, -913248, 0, -478896, -288708, -1423794, 0, -330120, 795216, -434380, 0, 125430, 772952, 255586, 0, -121086, -3528, 475920, 0, -267984, 54192, 150716, 0, -244413, 631488, -1209963, 0, 100536, -659744, -169803, 0, 11501, -306792, 327608, 0, 333531, -918240, 1229272, 0, -204196, -792200, 202494, 0, -1045871, -731880, -781000, 0, -1718343, 808888, -414120, 0, -930408, 855480, 37245, 0, 1335013, -109440, -718718, 0, -1660596, -54944, -278094, 0, 1679956, -253448, 180123, 0, 1458288, -393528, 705186, 0, -381765, -141952, -117456, 0, -366244, 83256, 43245, 0, -557353, 790464, 440824, 0, 257712, 779612, -222864, 0, 1148508, -674032, -858936, 0, 1647048, 921912, 106621, 0, 682605, -105184, 463532, 0, -521118, 143864, 285282, 0, -576292, 459768, 1782988, 0, 138792, 0, 729565, 0, 310828, -442336, 981648, 0, -492436, -1391520, -1891652, 0, 1043088, -1510024, 738928, 0, -412164, 238160, -448680, 0, -780882, 759792, -1413240, 0, -926826, -1681440, -708652, 0, 162624, -485808, 923934, 0, 15376, 1149600, 1196412, 0, -395931, -1015680, 1568082, 0, -95536, 235504, -321468, 0, 1208390, 270840, -2370200, 0, 203661, 1048416, 886121, 0, 116964, 1560448, -174318, 0, -70858, 1747992, 497048, 0, -509112, 1610016, -1032610, 0, -445036, -2058020, -391344, 0, 124703, -1524624, -572752, 0, 1994256, -815040, -256788, 0, -1337432, 297816, 451512, 0, 305510, 861456, 1817960, 0, 219930, 2247800, 235838, 0, 1620804, 436000, -1436208, 0, -646212, 940728, -192200, 0, -2721495, -856512, -994379, 0, -1942148, -1710640, 593460, 0, -218048, 2253144, -1369562, 0, 1209444, -2174144, 581071, 0, 403937, -367880, -1107138, 0, -985870, -776064, -463402, 0, -681162, -581424, 1490520, 0, 420066, 0, -125973, 0, -1150842, -2206056, -1020736, 0, 1481292, 2686336, -1643504, 0, -530814, -277384, 1577292, 0, -235254, 502488, -314726, 0, -620229, -1527328, 317442, 0, -327642, 2677336, 345225, 0, -391380, -103272, 1773946, 0, 181629, -2440384, 2422143, 0, 2179316, 3634796, -892212, 0, 1175811, -2153232, 887441, 0, 1765410, 1420992, -2404139, 0, -1496156, -1282280, -2261964, 0, 353209, -3277416, 317766, 0, 1801440, -4402336, 49610, 0, -76207, -212992, 891720, 0, 1591603, 2378712, 3278942, 0, 2177283, -291336, -1182544, 0, 1979496, 1591064, 1259148, 0, 1047342, 571872, 3571578, 0, -2223096, 636736, 2896996, 0, 56472, 408664, -1504806, 0, 610126, -547656, 1443014, 0, -2501766, -1804896, -399776, 0, -2675401, 1054320, -675669, 0, -1986194, -298416, -1304432, 0, -2212644, -1534656, -2234284, 0, 1245972, 3370640, 948300, 0, 1066444, 372408, -2344440, 0, 506550, 2200000, -3769370, 0, -1542412, 690680, -1071585, 0, 673384, 0, -1634112, 0, -1768686, 5520224, -1344997, 0, 2895461, -2725664, -542415, 0, -1829504, -947160, -1516332, 0, -2491290, -521284, 829902, 0, -4968400, 1668248, -347322, 0, 932628, -971808, -2713661, 0, -2001774, 179104, 492476, 0, 849524, -729648, 2814675, 0, 2498180, -5208960, 2954802, 0, -662844, 1783232, 1690080, 0, 2101200, -1556616, 495132, 0, -1045532, 4198968, -1981068, 0, 5187123, 4327312, -384966, 0, 5358346, 4907128, 4696122, 0, -2269135, -435336, -2270818, 0, -124236, -1260672, 4264648, 0, 4642876, -1521216, -2110632, 0, 302669, 1678320, 1623912, 0, 567108, 1408672, 1658116, 0, -1781362, -4744400, 4322577, 0, -724882, -3654216, -2805530, 0, -2189067, -860616, 6612910, 0, -4654280, 3665312, -443982, 0, 2195332, -5090472, -6539467, 0, -480006, -1892896, 829112, 0, -1460596, -2377376, 489504, 0, 1009313, -4879848, -1499764, 0, 7237428, -3785632, -2195903, 0, 67956, -1719464, -8781234, 0, -2069890, 11640, 3997172, 0, 2380494, 0, -2678349, 0, -11035798, -894988, -3387507, 0, 2709625, 4802472, -253380, 0, -1831032, 3715360, -3327938, 0, -1642852, 883224, 7313214, 0, -6139420, -4098792, -2519028, 0, 6879870, 34016, -84488, 0, -8577224, 975440, 3814506, 0, 1225275, 3778176, -1410244, 0, 2657484, 7604856, 2116834, 0, -1471740, -3338536, 2650731, 0, 1014690, 2367000, -580535, 0, 3289884, -3817344, -3744211, 0, 1714344, -5183744, -3106584, 0, 7312416, -1545792, 6961760, 0, -2799219, -2821856, -2371784, 0, 6924545, 1923952, 4196370, 0, 2535464, 5571312, -2489492, 0, 2057232, -1865704, 3176230, 0, 4700082, -623776, 3786474, 0, -6989786, 1519872, 9149888, 0, 3569094, 3242112, -5242730, 0, 418936, 3052008, 8121642, 0, -9148238, -2441256, -1504926, 0, -1156659, 5928832, -6793741, 0, -2826306, 6207832, 2994492, 0, -587540, -1992, -1138810, 0, -1384533, 6556640, -2294640, 0, 4875956, 5193648, -4937736, 0, 2780482, -2701416, -8447324, 0, -7509306, -3731360, 2635805, 0, 6165050, -1787460, -6567528, 0, -10848036, 4239024, -8639704, 0, 2693517, -3884960, -3880377, 0, -3835074, -4952800, -2723022, 0, -860066, -3485256, 7229406, 0, -10368780, 2474808, -2196394, 0, 5410602, -1909488, 3129588, 0, -9584716, 47520, 17346266, 0, 634260, 571808, -2857571, 0, 9647112, -11021384, 1725960, 0, -610534], "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, 4, 2, -1, 2, 0]], "char_orbit_index": 2, "prim_orbit_index": 2, "minimal_twist": "124.5.b.a", "char_is_minimal": true, "conrey_index": 63, "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}