# Stored data for newform 24.6.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "24.6.a.a", "space_label": "24.6.a", "level": 24, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 100663320, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1903480411181310466, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [34, 1]]], "qexp_display": "q-9q^{3}-34q^{5}-240q^{7}+3^{4}q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 864, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 3.849211675511535, "hecke_ring_index": 1, "level_radical": 6, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [24, 1, [7, 13, 17], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.991", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.947", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.818", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1]], "trace_display": [0, -9, -34, -240], "traces": [0, 1, 0, -9, 0, -34, 0, -240, 0, 81, 0, -124, 0, 46, 0, 306, 0, 1954, 0, -1924, 0, 2160, 0, 2840, 0, -1969, 0, -729, 0, -8922, 0, -4648, 0, 1116, 0, 8160, 0, -4362, 0, -414, 0, -2886, 0, 11332, 0, -2754, 0, 7008, 0, 40793, 0, -17586, 0, -22594, 0, 4216, 0, 17316, 0, -28, 0, -6386, 0, -19440, 0, -1564, 0, -39076, 0, -25560, 0, -54872, 0, 21034, 0, 17721, 0, 29760, 0, 26632, 0, 6561, 0, 56188, 0, -66436, 0, 80298, 0, 64410, 0, -11040, 0, 41832, 0, 65416, 0, -116158, 0, -10044, 0, -66834, 0, 64000, 0, -73440, 0, -15084, 0, -39698, 0, 39258, 0, 155154, 0, -96560, 0, 3726, 0, -468960, 0, -145675, 0, 25974, 0, 173196, 0, 52072, 0, -101988, 0, 159964, 0, 461760, 0, 24786, 0, -262278, 0, 253524, 0, -63072, 0, -5704, 0, 303348, 0, -367137, 0, 355630, 0, -1024, 0, 158274, 0, 158032, 0, -59954, 0, 203346, 0, -681600, 0, -341556, 0, -37944, 0, 5016, 0, -369177, 0, -155844, 0, -228666, 0, 472560, 0, 252, 0, 161388, 0, -291690, 0, 57474, 0, 148308, 0, -242296, 0, 174960, 0, -55680, 0, -176254, 0, 14076, 0, -374610, 0, -637760, 0, 351684, 0, 2141280, 0, 98124, 0, 230040, 0, 238576, 0, -904628, 0, 493848, 0, -385288, 0, 1115520, 0, -189306, 0, 89884, 0, 619048, 0, -159489, 0, -1469748, 0, -3290, 0, -267840, 0, 935402, 0, -238272, 0, -239688, 0, -875600, 0, -959214, 0, -59049, 0, -1386962, 0, -88504, 0, -505692, 0, 318868, 0, -352160, 0, 597924, 0, 1714690, 0, 1046880, 0, -722682, 0, -1110280, 0, 768196, 0, -579690, 0, -398378, 0, 1441976, 0, 99360, 0, 244156, 0, 117238, 0, -376488, 0, -1675142, 0, 1924676, 0, -588744, 0, 692640, 0, 2398259, 0, 1045422, 0, 1280622, 0, 952, 0, 90396, 0, 130640, 0, -2719680, 0, 601506, 0, 217124, 0, -2263188, 0, -576000, 0, 247848, 0, -1823910, 0, 660960, 0, 2856294, 0, 1106328, 0, 135756, 0, -3759496, 0, -90574, 0, 357282, 0, -1681920, 0, -147148, 0, -353322, 0, 1328584, 0, -3247278, 0, -1396386, 0, 576352, 0, -5756640, 0, 869040, 0, -1556748, 0, 4032174, 0, -33534, 0, 1793986, 0, 1865648, 0, 4220640, 0, 1552776, 0, 1225677, 0, 1311075, 0, -715156, 0, -3115448, 0, -233766, 0, 5422560, 0, -630682, 0, -1558764, 0, -410412, 0, 48404, 0, -468648, 0, 1741824, 0, -1011840, 0, 917892, 0, -3068194, 0, 5549360, 0, -1439676, 0, -905488, 0, 5359838, 0, -4155840, 0, -2764734, 0, -213808, 0, -223074, 0, 540888, 0, -1208934, 0, 2360502, 0, 6720, 0, -1910392, 0, -2281716, 0, -4380084, 0, -922810, 0, 567648, 0, -3847426, 0, 1532640, 0, 51336, 0, 6126784, 0, -1763150, 0, -2730132, 0, -5464160, 0, 3859056, 0, 3304233, 0, -4393964, 0, -2189940, 0, -3200670, 0, -793390, 0, 357864, 0, 9216, 0, 375360, 0, 7043018, 0, -1424466, 0, 7430054, 0, -4105672, 0, -1422288, 0, 3398172, 0, 9378240, 0, 539586, 0, -1405168, 0, 3788356, 0, -1830114, 0, 2781328, 0, -200652, 0, 6134400, 0, 3949372, 0, -2067344, 0, 3074004, 0, -7659756, 0, -17433588, 0, 341496, 0, 13169280, 0, -386580, 0, -45144, 0, -2573256, 0, 2272356, 0, 3322593, 0, 360678, 0, -5048160, 0, 1402596, 0, -2176000, 0, -868992, 0, 2057994, 0, -1559078, 0, -9182204, 0, -4253040, 0, -9082192, 0, 1629257, 0, -2268, 0, -132756, 0, 512856, 0, -1452492, 0, -5058332, 0, -6677730, 0, 2625210, 0, 1349732, 0, 8896556, 0, -517266, 0, 17165928, 0, -6391680, 0, -1334772, 0, -4460698, 0, 521272, 0, 2180664, 0, 6376604, 0, -5275236, 0, -1574640, 0, 5511434, 0, 1354308, 0, 501120, 0, -5591960, 0, -5007358, 0, 1586286, 0, -13485120, 0, 2801656, 0, -126684, 0, 2699636, 0, 8942752, 0, 3371490, 0, 13103474, 0, 15944640, 0, 5739840, 0, -5228040, 0, 10224826, 0, -3165156, 0, 4952950, 0, 8816840, 0, -19271520, 0, 322368, 0, 11359958, 0, -883116, 0, -4773558, 0, -2559308, 0, -2070360, 0, -15458400, 0, 264461, 0, -2147184, 0, -8523348, 0, -8419808, 0, 8141652, 0, -1770448, 0, 1876478, 0, -4444632, 0, -12149422, 0, -10896756, 0, 3467592, 0, 13216552, 0, 3472, 0, -10039680, 0, 16591494, 0, -5438776, 0, 1703754, 0, -2293716, 0, -719194, 0, -808956, 0, -15699840, 0, -25338480, 0, -5571432, 0, 791864, 0, 8646946, 0, 1435401, 0, -16959202, 0, 27877920, 0, 13227732, 0, 18710468, 0, 8917452, 0, 29610, 0, -1039324, 0, -11620420, 0, 2410560, 0, -8619816, 0, -5639244, 0, -8418618, 0, 22349670, 0, 8392488, 0, 2144448, 0, 16040160, 0, 10235270, 0, 2157192, 0, -13200320, 0, 193936, 0, 7880400, 0, -17033920, 0, -15360000, 0, 8632926, 0, 17567418, 0, -16228032, 0, 531441, 0, 22142728, 0, -21749506, 0, 12482658, 0, 4845424, 0, 19619996, 0, 796536, 0, 17401784, 0, -12091420, 0, 4551228, 0, 3620160, 0, -26269272, 0, -2869812, 0, 34816, 0, -5703562, 0, 3169440, 0, -21376214, 0, 9527520, 0, -5381316, 0, -1288, 0, -2015230, 0, -15432210, 0, -12767442, 0, 9151912, 0, -9421920, 0, 5552664, 0, 6804128, 0, 6504138, 0, 2038436, 0, -27238436, 0, 9992520, 0, -37236960, 0, -293756, 0, -6913764, 0, -7667242, 0, 13693632, 0, 5217210, 0, -2608216, 0, 23174400, 0, 3585402, 0, -10554086, 0, -1328828, 0, -12977784, 0, 11612904, 0, -21802768, 0, -894240, 0, -6159330, 0, 10073408, 0, -2197404, 0, -6491516, 0, -19353602, 0, -1055142, 0, 79709522, 0, -170544, 0, 3388392, 0, -27862200, 0, 59090935, 0, 15076278, 0, 12552018, 0, 34962000, 0, -17322084, 0, -12388080, 0, 10765094, 0, 5298696, 0, 12243882, 0, -1386636, 0, -6233760, 0, -10985632, 0, 7774644, 0, -21584331, 0, -3302368, 0, -1797496, 0, -9408798, 0, -41567040, 0, 8177982, 0, -11525598, 0, 4665202, 0, 38220092, 0, -8568, 0, -7721720, 0, -12497280, 0, -813564, 0, -13483392, 0, -5487192, 0, -1175760, 0, 41469456, 0, -44148676, 0, 24477120, 0, 9917460, 0, 43313668, 0, -5413554, 0, 3444560, 0, -6967312, 0, -1954116, 0, -38391360, 0, -43707296, 0, 20368692, 0, -2524112, 0, 8588778, 0, 5184000, 0, -41302190, 0, -78485732, 0, -2230632, 0, 8238064, 0, 9574602, 0, 16415190, 0, 8716230, 0, -8196240, 0, -5948640, 0, -13060500, 0, 967564, 0, -25706646, 0, 11387466, 0, 1893120, 0, -9956952, 0, 62946720, 0, -7025247, 0, -1221804, 0, 5992636, 0, 46271072, 0, 33835464, 0, 16320612, 0, -60845760, 0, 815166, 0, -19521342, 0, -7986840, 0, -3215538, 0, -43396248, 0, 12736740, 0, 15137280, 0, 32182880, 0, 38351800, 0, 1324332, 0, 21683840, 0, -7822058, 0, 3179898, 0], "weight_parity": 1, "has_non_self_twist": 0, "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]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "24.6.a.a", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [0], [-9], [0], [-34], [0], [-240], [0], [81], [0], [-124], [0], [46], [0], [306], [0], [1954], [0], [-1924], [0], [2160], [0], [2840], [0], [-1969], [0], [-729], [0], [-8922], [0], [-4648], [0], [1116], [0], [8160], [0], [-4362], [0], [-414], [0], [-2886], [0], [11332], [0], [-2754], [0], [7008], [0], [40793], [0], [-17586], [0], [-22594], [0], [4216], [0], [17316], [0], [-28], [0], [-6386], [0], [-19440], [0], [-1564], [0], [-39076], [0], [-25560], [0], [-54872], [0], [21034], [0], [17721], [0], [29760], [0], [26632], [0], [6561], [0], [56188], [0], [-66436], [0], [80298], [0], [64410], [0], [-11040], [0], [41832], [0], [65416], [0], [-116158], [0], [-10044], [0]]}