Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 12240, 'analytic_conductor': 45.13646115439157, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [17, 1]], 'atkin_lehner_string': '--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [765, 1, [596, 307, 496], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 1304, 'field_disc_factorization': [[2, 3], [163, 1]], 'field_poly': [-2, -11, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [12, 1, -6, 1]], [11, [-31128, 3764, -118, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595968185085, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'id': 80806, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '765.4.a.l', 'level': 765, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 17], 'level_radical': 255, 'minimal_twist': '85.4.a.e', 'nf_label': '3.3.1304.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(2+\\beta _{1})q^{2}+(3+4\\beta _{1}+\\beta _{2})q^{4}+5q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '765.4.a', 'trace_display': [6, 0, 15, 8], 'trace_hash': 1892460619168830668, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.887', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.309', 'prec': 10}, {'__RealLiteral__': 0, 'data': '22.407', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.294', 'prec': 14}, {'__RealLiteral__': 0, 'data': '247.748', 'prec': 20}], 'trace_zratio': 0, 'traces': [3, 6, 0, 10, 15, 0, 8, 66, 0, 30, 118, 0, -10, 68, 0, 242, -51, 0, -160, 50, 0, 44, 92, 0, 75, 44, 0, 644, -374, 0, 70, 594, 0, -102, 40, 0, -246, -896, 0, 330, 354, 0, -286, -348, 0, -4, 390, 0, 1091, 150, 0, -76, 1282, 0, 590, 2996, 0, -1356, 304, 0, 246, -532, 0, 1826, -50, 0, -718, -170, 0, 340, 602, 0, 282, -916, 0, -1888, 256, 0, 206, 1210, 0, 1572, 2414, 0, -255, -256, 0, 1412, 870, 0, -1456, -1524, 0, 2224, -800, 0, 2230, 3822, 0, 250, -502, 0, -3650, -1564, 0, -4, 3856, 0, 1078, 220, 0, 6500, -3146, 0, 460, -2580, 0, 4048, -136, 0, 2403, -2276, 0, -5404, 375, 0, -3682, 4002, 0, 220, 34, 0, 3744, 536, 0, -1122, 2674, 0, 2698, 3220, 0, -3036, -1268, 0, -1870, -388, 0, -3580, 4978, 0, -656, -1856, 0, -1448, 350, 0, 2278, -492, 0, 2970, -5336, 0, -2400, 5820, 0, 4032, 6212, 0, -5107, -510, 0, -1816, 294, 0, 200, 4820, 0, 972, 1568, 0, 2038, -2040, 0, -5764, -1230, 0, -2006, 7944, 0, -4480, -5844, 0, 3978, 7180, 0, 5586, -7442, 0, 810, 1650, 0, -6748, 3888, 0, 1770, -5472, 0, -2428, -160, 0, 4594, -9228, 0, 11636, -1430, 0, -15232, 1276, 0, -1740, 170, 0, 3250, 7668, 0, -7116, -5660, 0, 1174, -20, 0, -5892, -1694, 0, 1950, 11760, 0, -1156, 2976, 0, 2470, -11242, 0, -13852, 5455, 0, -5568, -20860, 0, 750, 3288, 0, 4232, -19928, 0, 82, -2846, 0, -6400, -380, 0, 5508, -9226, 0, 6410, -6432, 0, -448, -5518, 0, 8012, -4114, 0, 9932, 2950, 0, 534, 20700, 0, 14980, 5182, 0, -944, -14292, 0, 3544, 7728, 0, 867, -6780, 0, 6356, 6202, 0, 1520, -14764, 0, 7100, 3256, 0, -11080, -14120, 0, -17440, 1230, 0, -2966, 6072, 0, -2660, 12946, 0, -9822, 3684, 0, -6100, -222, 0, -8140, 9130, 0, -14104, 2720, 0, -250, -15244, 0, 20940, 6824, 0, 2332, 10968, 0, 3764, -3590, 0, -2538, -12774, 0, -850, 5852, 0, -21248, -16840, 0, 13348, -5708, 0, -5502, 1700, 0, 900, 7842, 0, 3010, -7020, 0, -7152, -4956, 0, 18527, -11124, 0, 2824, 1410, 0, 4072, -9332, 0, -4580, -15296, 0, -12338, -748, 0, 23896, -5580, 0, 10418, -9440, 0, -12672, 7574, 0, 1280, 31708, 0, 31700, -7986, 0, -1564, 7818, 0, -2860, 1030, 0, -25762, 15676, 0, 6050, -9350, 0, 8876, -26532, 0, -10376, -6924, 0, 8930, 7860, 0, -9256, -10816, 0, 12070, 5508, 0, -23392, 2762, 0, 8450, 19956, 0, -9148, -1275, 0, -20112, 33492, 0, -1280, 3918, 0, 5214, -46312, 0, 6788, -14368, 0, 26794, 7060, 0, -748, 25490, 0, 4350, -17368, 0, 28388, 9418, 0, 7332, -15588, 0, -31332, -7280, 0, 5726, 4572, 0, -7620, 5206, 0, -20138, -33892, 0, 25300, 39122, 0, -29656, 11120, 0, 12688, -16220, 0, -4000, -10948, 0, -29392, -6858, 0, 3380, -31044, 0, -48230, 11150, 0, 13520, -35564, 0, 19110, -14340, 0, 6358, -384, 0, -44268, 672, 0, 41390, 1250, 0, 5624, 16812, 0, -2510, 4200, 0, -55840, -12794, 0, 45920, -5838, 0, -28212, -18250, 0, 3212, -27032, 0, -7820, 25378, 0, 5558, 7788, 0, -20664, -1190, 0, -18717, -20, 0, -87776, -2460, 0, 19280, -37648, 0, 26004, 23542, 0, -21450, -9328, 0, -10098, 5390, 0, 3856, 19332, 0, 1100, 53568, 0, -16208, 11964, 0, 58340, -3870, 0, 10724, 32500, 0, -8908, 40150, 0, -15730, 26628, 0, -12468, 13750, 0, 29810, 7368, 0, 40920, 2300, 0, 10622, 1734, 0, -12900, 36168, 0, 70308, 54884, 0, -10612, 10098, 0, -24864, 20240, 0, -42572, -28478, 0, -680, 29364, 0, 7544, 5656, 0, 26174, -22608, 0, -73192, 12015, 0, 21052, -99072, 0, -11380, 1004, 0, 54014, 51624, 0, 70264, -15010, 0, -3570, -27020, 0, 21588, -32688, 0, 1875, -21700, 0, 5132, 4182, 0, 7528, -20820, 0, 34548, -18410, 0, 21366, -28376, 0, 20010, 9898, 0, -38204, -4632, 0, 15232, -37778, 0, -22016, 1100, 0, -28204, 26238, 0, 170, 64044, 0, 51600, 7852, 0, -8466, -5040, 0, 84168, 18720, 0, -22712, -15900, 0, 2680, 30988, 0, 2890, 48028, 0, -29226, -11062, 0, 75600, -5610, 0, 4872, 33324, 0, 13370, -11592, 0, -38248, -1628, 0, -51918, 86796, 0, -52148, 13490, 0, -6018, -10348, 0, 16100, 10086, 0, 10944, 29588, 0, 55412, -16496, 0, 3678, -15180, 0, -27324, 43848, 0, -6340, -56592, 0, 13048, 37918, 0, -29912, 40446, 0, -78700, -9350, 0, -38998, -792, 0, -1940, 4862, 0, -50154, -40860, 0, -3780, -51932, 0, -6112, -17900, 0, -65528, 28848, 0, 24890, 5372, 0, 5916, 38920, 0, 63710, 78552, 0, -3800, -3280, 0, -63562, 11900, 0, -9280, 88798, 0, 35568, -33168, 0, 60888, 24800, 0, -22430, -7240, 0, 99572, -6974, 0, 1750, 148420, 0, -10604, -28224, 0, 62500, 68, 0, 79930, 11390, 0, 31952, 14556, 0, -2460, -18240, 0, 2508, -53508, 0, 51140, -53822, 0, -6630, 14850, 0, -10092, 28884, 0, -26680, 19544, 0, -62548, -3558, 0, -69306, -136200, 0, -6760, -12000, 0, -24000, -436, 0, 29100, 50386, 0, -3524, -93912, 0, 52864, 51220, 0, 57718, 20160, 0, -412, -18547, 0, 31060, -42528, 0, 42204, 18730, 0, 10493, 67788, 0, 74204, -25535, 0, 30120, 1124, 0, -2550, 8408, 0, -22446, -97688, 0, 141956, 29062, 0, 46128, -9080, 0, 90668, -59142, 0, 1470, -33484, 0, -67592, 13068, 0, 34052, 57844, 0, -13664, 1000, 0, 16606, 107932, 0, 24100, 44402, 0, -103578, 1292, 0, 35864, -96716, 0, 11064, 4860, 0, -122128, -51968, 0, 7840, 137908, 0, -47372, -34412, 0, -21794, 18504, 0, -85812, 10190, 0, -12700, -116148, 0, -10200, -26442, 0, 108220, 31972, 0, 55460, -64896, 0, 54616, -28820, 0, 66988, -21612, 0, -6150, -28064, 0, -145188, 14922, 0, -171936, 103020, 0, 74176, -10030, 0, 58798, -36288, 0, 39720, -75806, 0, -8856, 80816, 0, 18592, 54088, 0, -41644, -22400, 0, -50932, -42494, 0, -29220, -142992, 0, -68172, -27872, 0, 29599, 4888, 0, -123388, 19890, 0, -15874, -11758, 0, 35900, 48524, 0, -36848, 66036, 0, -91724, -7086, 0, 34284, 27930, 0, -70384, -17944, 0, -37210, 23052, 0, 47296, 17296, 0, 5990, -64764, 0, -76600, 4050, 0, -7054, 40900, 0, 8250, -60928, 0, -5168, 58104, 0, -72996, -36544, 0, 10830, -33740, 0, -34776, -30506, 0, 19440, -128816, 0, -89156, 44324, 0, 8414, 85960, 0, 38082, 8850, 0, 8380, -52284, 0, -27360, -101818, 0, 33990, 35744, 0, -100952, -4182, 0, -34628, -12140, 0, 49396, 131392, 0, -800, 77944, 0, -45684, -104702, 0, 18430, -80352, 0, 9044, 22970, 0, -113424, -34610, 0, -46140, -59830, 0, -15126, -282528, 0, -8184, 76620, 0, 33210, 58180, 0, -72016, 27212, 0, -7150, 128172, 0, 89276, -35652, 0, -6544, -34148, 0, -135040, -76160, 0, -37942, -31042, 0, 6380, 21570, 0, 30054, -15204, 0, 43412, -90198, 0, 10336, -8700, 0, 147200, -75578, 0, 850, -51000, 0, 38852, 129850, 0, 30068, 95268, 0, -35212, 16250, 0, -93378, 1152, 0, 38340, -161600, 0, -148354, -89412, 0, 59424, 85196, 0, -20570, -35580, 0, 52388, -164420, 0, -28300, -54404, 0, 17364, 12206, 0, 91016, 20340, 0, -61688, 5870, 0, 40404, 169176, 0, -100, 5402, 0, 92342, -4572, 0, 2890, 21420, 0, 19520, -29460, 0, 103568, -90264, 0, -8470, -22792, 0, 99460, -1928, 0, -95476, -15708, 0, 127984, 9750, 0, 121296, 26656, 0, 58800, -135218, 0, -25992, -98316, 0, -175660, -32880, 0, -52836, -5780, 0, 234692, 2518, 0, 14880, -7656, 0, 42048, 57036, 0, -58346, -110308, 0, -40112, 12350, 0, -10234, -222728, 0, -56210, 187424, 0, -27330, 96364, 0, -198880, -71698, 0, 94136, -69260, 0, -12192, 4026, 0, 27275, 71028, 0, 245360, 91034, 0, 5666, 113336, 0, -112236, -27840, 0, -98514, -28220, 0, -104300, -4794, 0, -118132, 2556, 0, -73272, -8484, 0, -51382, 3750, 0, -70924, -109440, 0, 16440, 50172, 0, 15572, 132732, 0, -50100, -13272, 0, -41764, 21160, 0, -133232, 98508, 0, -99640, -51324, 0, -104064, 18044, 0, -20808, -92198, 0, -64680, 410, 0, 39444, -135186, 0, -14230, -62116, 0, 19880, -62150, 0, -33760, 32096, 0, -48528, -32000, 0, -57130, 111552, 0, -1900, -21690, 0, 22972, 3524, 0, 69972, -50622, 0, -4352, 27540, 0, 171180, -13772, 0, -46130, 233904, 0, 48376, -5662, 0, 49678, -118892, 0, 68576, 32050, 0, -101262, 241192, 0, -32160, 89844, 0, 61124, -17144, 0, 64244, -65328, 0, 37084, -2240, 0, -40392, -3502, 0, -27590, 95148, 0, 325604, 104352, 0, -9120, -142050, 0, -119868, 40060, 0, 31296, 260360, 0, -20570, 50122, 0, -80940, -91560, 0, 35524, 115968, 0, -112235, 49660, 0, 155896, -199726, 0, 14750, -19656, 0, 57400, -51488, 0, 21982, -87340, 0, 304444, 2670, 0, 142656, -113796, 0, 103500, -16928, 0, -22704, -26724, 0, -64852, -25060, 0, -39446, 74900, 0, -34460, 68184, 0, 25910, 101888, 0, 121348, 150826, 0, -41038, 230028, 0, -164200, -4720, 0, -33972, 195916, 0, -71460, -262262, 0, -85112, -25116, 0, 109480, 7134, 0, 155802, 17720, 0, -161520, -27214, 0, 38640, 113352, 0, 162100, 74602, 0, -61708, -89104, 0, -27438, 4335, 0, -41594, -209724, 0, -33900, -64578, 0, -74106, -65280, 0, -48696, -51604, 0, 172642, 31780, 0, 4352, 227968, 0, 31010, -84972, 0, -153052, 14412, 0, 43856, -17396, 0, 80368, 7600, 0, 102112, 164880, 0, -73820, -219558, 0, 82326, -312, 0, 122548, -16942, 0, 71710, 35500, 0, 76196, -4918, 0, 16280, -24004, 0, 232024, -64082, 0, -28256, 201308, 0, 246168, -55400, 0, 56004, 56472, 0, -70600, -51824, 0, -14790, -12420, 0, -77980, -57060, 0, 152390, -87200, 0, 199596, 277624, 0, 6150, 78056, 0, -193968, -43484, 0, 86136, 165360, 0, -17888, -14830, 0, -129316, -193404, 0, 30360, 45376, 0, -25306, 201604, 0, 70404, 24752, 0, 44014, -13300, 0, 397860, 113674, 0, 64730, -128868, 0, -161664, 137422, 0, -202648, -101800, 0, 25908, -49110, 0, 63220, 407898, 0, 18420, 894, 0, -104010, 187420, 0, -131956, -19392, 0, -36152, -30500, 0, -110120, -97690, 0, -1110, 45688, 0, -77596, -121272, 0, 43916, 69508, 0, -116276, -40700, 0, -28322, -37808, 0, 45650, -72142, 0, 218608, 34380, 0, -84232, -43070, 0, 58438, -70520, 0, -8120, 36778, 0, 13600, -210548, 0, 98372, -65444, 0, -144682, -7252, 0, -500840, -1250, 0, -28968, -21720, 0, -76220, -6256, 0, 31064, 70080, 0, -50620, 58966, 0, 245700, 104700, 0, 84324, 196868, 0, 34120, -37004, 0, -295320, -37910, 0, -64740, 397632, 0, 241932, 11660, 0, 47238, 192116, 0, 54840, 69696, 0, -44224, -83036, 0, -64974, -170682, 0, -65026, 18820, 0, 136736, -85088, 0, -17950, 89508, 0, 287196, -106504, 0, -119679, 101754, 0, 138116, -12690, 0, 32176, 271356, 0, -63870, -119232, 0, -108050, -227164, 0, -46620, 66810, 0, 242380, -4250, 0, 44760, 77988, 0, 29260, 204876, 0, -244760, -21762, 0, -196192, 467444, 0, 105764, -106240, 0, 8534, 108592, 0, -84200, 25922, 0, 103248, 373380, 0, -113888, 98476, 0, 110144, 66740, 0, -55492, -27838, 0, -28540, -166600, 0, 2616, -65500, 0, -3538, -6480, 0, 137940, -27510, 0, -33918, 169824, 0, 8500, 62050, 0, -124450, -137028, 0, 307364, 262576, 0, -109028, 4500, 0, -102588, -47892, 0, 39210, -132200, 0, 26588, 308, 0, -152112, -58176, 0, -276572, 15050, 0, 39430, -298848, 0, -35100, 41092, 0, 239154, -320512, 0, -207744, 23962, 0, 146910, -35760, 0, 282596, 21168, 0, -24780, -326100, 0, 55720, 206304, 0, 3750, 68, 0, 58392, 92635, 0, 99700, -295060, 0, -55620, -133220, 0, -60374, 33636, 0, -368004, 52056, 0, -65552, 14120, 0, 98988, 71762, 0, 7050, -27232, 0, 77996, 40320, 0, -45010, 297300, 0, -29048, 20360, 0, 320312, -62784, 0, -46660, -230568, 0, -13120, 167412, 0, 48584, 48976, 0, -144757, -22900, 0, 94904, -18326, 0, -76480, -331972, 0, 162948, -179798, 0, -289326, -418304, 0, 127036, -61690, 0, 79632, 130728, 0, -3740, 53988, 0, -349326, 66044, 0, 15328, 1070, 0, -106172, 119480, 0, -329084, 14352, 0, -27900, -60504, 0, 462672, 110674, 0, 189868, 61872, 0, 41668, 52090, 0, -305680, -23240, 0, -47200, -141302, 0, -68500, -110500, 0, -228820, -30752, 0, -1360, -63360, 0, -251152, -136054, 0, 37870, -259092, 0, 78952, 172736, 0, 53482, 176014, 0, 13384, 6400, 0, 108420, -123660, 0, 158540, 229302, 0, 106286, 98104, 0, -135934, -124796, 0, -20240, 158500, 0, 37920, -68676, 0, -39930, 282584, 0, 31892, 53818, 0, 326020, -275148, 0, 168532, -7820, 0, 78208, 41496, 0, 39090, -25284, 0, 30048, -132576, 0, -5260, -153440, 0, 133600, -14300, 0, 43860, 35850, 0, 5150, 89856, 0, 57776, 69090, 0, -266648, 161644, 0, -193452, -128810, 0, 45054, -295704, 0, 78380, 192268, 0, 13742, -167508, 0, -45796, -9054, 0, -153554, 30250, 0, -28880, -129604, 0, -46750, -68816, 0, 371384, 132450, 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