Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 35840, 'analytic_conductor': 132.16427841285898, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [7, 1]], 'atkin_lehner_string': '--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2240, 1, [1471, 1541, 897, 1921], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 11045, 'field_disc_factorization': [[5, 1], [47, 2]], 'field_poly': [-54, -31, -1, 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': [[3, [8, -35, 6, 1]], [11, [-24620, -2855, 6, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784044042432, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'id': 146509, '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': '2240.4.a.br', 'level': 2240, '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': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '280.4.a.f', 'nf_label': '3.3.11045.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-2+\\beta _{1})q^{3}+5q^{5}-7q^{7}+(8-7\\beta _{1}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2240.4.a', 'trace_display': [0, -6, 15, -21], 'trace_hash': 856102837439935014, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.921', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '22.634', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '254.454', 'prec': 20}], 'trace_zratio': 0, 'traces': [3, 0, -6, 0, 15, 0, -21, 0, 25, 0, -6, 0, -8, 0, -30, 0, -52, 0, -152, 0, 42, 0, 48, 0, 75, 0, -546, 0, 468, 0, 268, 0, -82, 0, -105, 0, -262, 0, 674, 0, -74, 0, -692, 0, 125, 0, 774, 0, 147, 0, -366, 0, -62, 0, -30, 0, 1432, 0, -1088, 0, -174, 0, -175, 0, -40, 0, 212, 0, 1784, 0, 1056, 0, -194, 0, -150, 0, 42, 0, -362, 0, 2579, 0, -1696, 0, -260, 0, -2158, 0, 158, 0, 56, 0, -1476, 0, -760, 0, 1620, 0, -1272, 0, 966, 0, -1450, 0, 210, 0, 2640, 0, -1120, 0, 2592, 0, 1594, 0, 240, 0, -5926, 0, 364, 0, 1753, 0, 1276, 0, 375, 0, 744, 0, -872, 0, 824, 0, 1064, 0, -2730, 0, 4014, 0, -2372, 0, -3898, 0, 3118, 0, 2340, 0, -294, 0, 6470, 0, -2610, 0, 350, 0, 1340, 0, -238, 0, -1944, 0, -336, 0, -384, 0, -410, 0, -2298, 0, 543, 0, -4776, 0, 3492, 0, -525, 0, 5936, 0, 868, 0, 3006, 0, 6740, 0, -1310, 0, 8094, 0, 3822, 0, 818, 0, 3750, 0, 3370, 0, 2670, 0, 2792, 0, 5592, 0, -3276, 0, -370, 0, -14640, 0, -13984, 0, -6794, 0, 6912, 0, -3460, 0, -1876, 0, 9036, 0, 1862, 0, 4254, 0, 625, 0, -1630, 0, 8466, 0, 574, 0, -4854, 0, 3870, 0, 7022, 0, 8270, 0, -942, 0, -4328, 0, 735, 0, -472, 0, -368, 0, -1708, 0, 3664, 0, -1830, 0, 926, 0, 1834, 0, 18094, 0, -268, 0, -310, 0, -1444, 0, 22226, 0, 1660, 0, -4718, 0, -150, 0, -13354, 0, 5680, 0, -5592, 0, -14842, 0, 7160, 0, 518, 0, -1461, 0, 16218, 0, 9164, 0, -5440, 0, 10210, 0, 16792, 0, 4844, 0, -9264, 0, -870, 0, 1582, 0, 16718, 0, 3528, 0, 11848, 0, -875, 0, 2430, 0, -16634, 0, 2428, 0, -20552, 0, -200, 0, -10450, 0, -5418, 0, 2804, 0, -24806, 0, 1060, 0, 22238, 0, -368, 0, 9804, 0, -1029, 0, 8920, 0, 6028, 0, 10054, 0, 24110, 0, 15668, 0, 5280, 0, 2562, 0, -4696, 0, 31367, 0, 17268, 0, -970, 0, 3742, 0, -366, 0, 434, 0, -13826, 0, -750, 0, -21082, 0, 7988, 0, -21040, 0, 10760, 0, 210, 0, 3132, 0, 9584, 0, -2712, 0, 22040, 0, -1810, 0, -3748, 0, -10024, 0, 16548, 0, -1028, 0, 12895, 0, 22896, 0, 1046, 0, 26940, 0, 7616, 0, -8480, 0, 23732, 0, -1352, 0, -15080, 0, 26660, 0, -1300, 0, 1218, 0, -5954, 0, -4726, 0, 32326, 0, -10790, 0, 6968, 0, -8372, 0, 1225, 0, -9164, 0, 790, 0, -22716, 0, 23576, 0, -25420, 0, 14902, 0, 280, 0, -8898, 0, 13694, 0, 23118, 0, 6348, 0, -7380, 0, -8570, 0, -1484, 0, 1604, 0, 24320, 0, -3800, 0, 5186, 0, -1480, 0, 31468, 0, -12488, 0, 8100, 0, 28556, 0, -44164, 0, -3842, 0, -24562, 0, -6360, 0, -7392, 0, 19794, 0, 6382, 0, 6890, 0, 4830, 0, -28440, 0, 1562, 0, 1358, 0, 27288, 0, -7250, 0, -10478, 0, -19298, 0, 19706, 0, 28080, 0, 1050, 0, 12588, 0, 7507, 0, -32880, 0, -8200, 0, 13200, 0, -22792, 0, -294, 0, 28172, 0, 34408, 0, -5600, 0, -56960, 0, -25514, 0, 1104, 0, 2534, 0, 12960, 0, 20002, 0, -160, 0, 19438, 0, -10368, 0, 7970, 0, -18053, 0, -14290, 0, -18356, 0, -27110, 0, 1200, 0, -32160, 0, 53788, 0, 11872, 0, 28512, 0, -29630, 0, -14120, 0, -46792, 0, -23012, 0, -46880, 0, 1820, 0, 28632, 0, 43402, 0, 22790, 0, -27812, 0, 8765, 0, 12066, 0, 15106, 0, -26034, 0, -27762, 0, 6380, 0, 20710, 0, -15704, 0, 45784, 0, -1106, 0, 1875, 0, -32568, 0, 26788, 0, 65154, 0, 522, 0, 3720, 0, -392, 0, -69408, 0, -17882, 0, 40586, 0, -4360, 0, -7240, 0, -9104, 0, 10332, 0, 17450, 0, 4120, 0, -70926, 0, 26386, 0, -42, 0, -246, 0, 5320, 0, -33872, 0, -13866, 0, -68084, 0, 21910, 0, -13650, 0, 14712, 0, -11340, 0, -26726, 0, 1624, 0, 20070, 0, -9036, 0, 3236, 0, -8040, 0, 8904, 0, -11860, 0, -36944, 0, 23056, 0, -31764, 0, -18936, 0, -19490, 0, -6762, 0, -34012, 0, -16396, 0, -5112, 0, 15590, 0, -42578, 0, -49408, 0, 10150, 0, -4320, 0, 11700, 0, 20088, 0, 24751, 0, 50848, 0, 16536, 0, -1470, 0, -44040, 0, -45822, 0, -69744, 0, 12192, 0, 32350, 0, -1600, 0, -18480, 0, -3026, 0, -40388, 0, -13050, 0, -21334, 0, -25752, 0, -17582, 0, 7840, 0, 1750, 0, 24208, 0, -35130, 0, -38700, 0, -16168, 0, 6700, 0, -18144, 0, 74312, 0, 33984, 0, -147122, 0, -1190, 0, -13670, 0, -16196, 0, -11158, 0, 3848, 0, -9720, 0, -40748, 0, -16706, 0, 57466, 0, 18060, 0, -1680, 0, -34300, 0, -48996, 0, 33348, 0, 25444, 0, -1920, 0, -40264, 0, 41482, 0, 46208, 0, 812, 0, -2050, 0, 34808, 0, 2050, 0, 29340, 0, -2548, 0, -11490, 0, -51596, 0, -3544, 0, 66487, 0, 67678, 0, 2715, 0, -12271, 0, 31846, 0, 61608, 0, -99046, 0, -23880, 0, 17374, 0, 5296, 0, -8932, 0, 4940, 0, 17460, 0, 67312, 0, -97694, 0, 16480, 0, -145266, 0, -2625, 0, -8294, 0, 75766, 0, 19346, 0, -13768, 0, 29680, 0, 46480, 0, -5208, 0, 27554, 0, -41096, 0, 4340, 0, -94496, 0, 25828, 0, 46508, 0, 6104, 0, 15030, 0, -14140, 0, 27414, 0, -77912, 0, 48512, 0, 33700, 0, -5768, 0, 60398, 0, -63418, 0, 90432, 0, -6550, 0, -107556, 0, 6090, 0, -7448, 0, 94088, 0, 40470, 0, 34460, 0, -31498, 0, -13198, 0, -3064, 0, 19110, 0, -15480, 0, 78600, 0, -24036, 0, -36970, 0, 4090, 0, -14578, 0, -28098, 0, -40365, 0, -9396, 0, 18750, 0, 28652, 0, -42368, 0, 1780, 0, 16604, 0, 16850, 0, -48086, 0, -143948, 0, 75110, 0, -1326, 0, 13350, 0, 27286, 0, -35512, 0, 91016, 0, -31928, 0, 13960, 0, -36772, 0, 144128, 0, -21826, 0, -9968, 0, 27960, 0, -83088, 0, 36468, 0, -96740, 0, 36522, 0, -16380, 0, -47190, 0, 20180, 0, -33758, 0, 21188, 0, -1850, 0, -16362, 0, 2058, 0, -1934, 0, 1190, 0, -73200, 0, -111664, 0, 19632, 0, 47352, 0, -45290, 0, -69920, 0, 108672, 0, -117790, 0, -127054, 0, -91728, 0, -33970, 0, 18270, 0, -53614, 0, 42512, 0, -145704, 0, 34560, 0, 44982, 0, -79382, 0, -2450, 0, -141076, 0, -17300, 0, -138752, 0, 5776, 0, -45896, 0, -20246, 0, -9380, 0, 17508, 0, -148983, 0, 59908, 0, 64066, 0, 45180, 0, 57726, 0, 1666, 0, 91686, 0, 61084, 0, 9310, 0, -9468, 0, -92794, 0, 101280, 0, 13608, 0, 21270, 0, -12646, 0, 109244, 0, 117792, 0, -53038, 0, 3125, 0, 2352, 0, 44780, 0, 195666, 0, -14678, 0, -8150, 0, -101704, 0, -83888, 0, 2688, 0, 210744, 0, 42330, 0, -3352, 0, -118528, 0, -106924, 0, -4114, 0, 2870, 0, -104824, 0, 230280, 0, 115416, 0, 85740, 0, -24270, 0, -12682, 0, 16086, 0, -34626, 0, -24656, 0, 19350, 0, -80668, 0, -197176, 0, -30334, 0, -3801, 0, 35110, 0, 113308, 0, 47112, 0, -2938, 0, -9016, 0, 41350, 0, 33432, 0, 28090, 0, -14360, 0, -119294, 0, -4710, 0, -3264, 0, 92484, 0, -24444, 0, -26810, 0, -21640, 0, 30788, 0, -16032, 0, 4592, 0, 43726, 0, 3675, 0, 150564, 0, -61826, 0, 82668, 0, -243286, 0, -2360, 0, -120622, 0, -41552, 0, -4784, 0, 116192, 0, -1840, 0, -140664, 0, -99318, 0, -138896, 0, -6076, 0, -8540, 0, -42792, 0, -200472, 0, 177006, 0, -39306, 0, 18320, 0, -21042, 0, -217478, 0, -58624, 0, 149184, 0, -9150, 0, -160868, 0, -91844, 0, -47180, 0, -69840, 0, 4630, 0, -33644, 0, 56438, 0, 53516, 0, 81738, 0, 9170, 0, -12546, 0, -147372, 0, -30454, 0, -14308, 0, 90470, 0, -29318, 0, -56658, 0, -133128, 0, 10020, 0, -1340, 0, -123692, 0, 23956, 0, 10646, 0, -26754, 0, -1550, 0, -6448, 0, -136584, 0, 38226, 0, -4792, 0, -7220, 0, -5726, 0, 98086, 0, 146162, 0, -148042, 0, 111130, 0, 694, 0, -50496, 0, -26250, 0, -49740, 0, 8300, 0, 50272, 0, -147804, 0, 10470, 0, 185134, 0, -23590, 0, -11128, 0, 22325, 0, 113676, 0, 13150, 0, -750, 0, 49924, 0, -18690, 0, 79070, 0, -97184, 0, -66770, 0, 52192, 0, 107060, 0, 1796, 0, -19544, 0, 28400, 0, -184976, 0, 112636, 0, 15166, 0, 63016, 0, -27960, 0, -39144, 0, 125668, 0, 103344, 0, -57506, 0, -74210, 0, -77070, 0, 84840, 0, 22932, 0, 100452, 0, 35800, 0, -87278, 0, 120118, 0, 16360, 0, -117492, 0, 2590, 0, -92168, 0, -38086, 0, 89344, 0, -205064, 0, -7305, 0, 48734, 0, 102480, 0, 82300, 0, -133906, 0, 81090, 0, 73844, 0, -23780, 0, -124980, 0, 97888, 0, 45820, 0, 352684, 0, 96956, 0, 71600, 0, -121942, 0, -27200, 0, 47558, 0, -84638, 0, 79156, 0, 63866, 0, 51050, 0, -85506, 0, 117686, 0, -48384, 0, 78162, 0, 83960, 0, -98714, 0, 109350, 0, 308864, 0, -103092, 0, 24220, 0, 52884, 0, -76102, 0, -1104, 0, -190112, 0, -46320, 0, -74628, 0, 13132, 0, 164043, 0, 62244, 0, -4350, 0, -27188, 0, -55604, 0, -86696, 0, -63252, 0, 7910, 0, -61748, 0, -341480, 0, 86112, 0, -206002, 0, 83590, 0, -13034, 0, -5250, 0, 3754, 0, -88480, 0, 17640, 0, 198018, 0, 142136, 0, -29778, 0, -138112, 0, 59240, 0, -5832, 0, -165576, 0, 99404, 0, 177090, 0, -4375, 0, -55696, 0, 211358, 0, 13364, 0, -181704, 0, 12150, 0, -125934, 0, 11410, 0, 100416, 0, 269456, 0, -83170, 0, 193594, 0, -33420, 0, 39502, 0, -59262, 0, 12140, 0, 54568, 0, -65086, 0, 51852, 0, 56946, 0, -102760, 0, -4018, 0, 141810, 0, 184966, 0, -127502, 0, -1000, 0, -3912, 0, -201490, 0, 33978, 0, 242496, 0, -52250, 0, -60232, 0, -74604, 0, 125012, 0, 59008, 0, -27090, 0, 54604, 0, -35130, 0, -274208, 0, 408760, 0, 14020, 0, -26744, 0, -49154, 0, 170378, 0, -14664, 0, -124030, 0, -186744, 0, 147950, 0, 73360, 0, -57890, 0, 5300, 0, -74880, 0, 196176, 0, -85495, 0, -155612, 0, 111190, 0, 6594, 0, -118760, 0, 316232, 0, 46976, 0, -1840, 0, -194226, 0, 26784, 0, 30296, 0, 240072, 0, 49020, 0, 90996, 0, -182896, 0, -196048, 0, -71200, 0, -5145, 0, 147756, 0, 135628, 0, 84622, 0, 124700, 0, 44600, 0, 142228, 0, 3304, 0, 118558, 0, -142526, 0, 30140, 0, -392126, 0, -168176, 0, 68098, 0, 2576, 0, 50270, 0, 93576, 0, 71944, 0, -48970, 0, 72268, 0, 120550, 0, 11956, 0, -216024, 0, 236920, 0, -99616, 0, 78340, 0, 128552, 0, 75880, 0, -25648, 0, 95194, 0, 26400, 0, 117694, 0, 159278, 0, 297992, 0, -199202, 0, 12810, 0, -180364, 0, 169734, 0, -245072, 0, -78380, 0, -23480, 0, -194246, 0, -6482, 0, 45724, 0, 80380, 0, 156835, 0, 111668, 0, 24584, 0, -70516, 0, -12838, 0, 86340, 0, 28048, 0, -174540, 0, 100794, 0, -13498, 0, -4850, 0, -126658, 0, -147328, 0, -29858, 0, 312542, 0, 18710, 0, 217130, 0, -58404, 0, 1876, 0, -6504, 0, -1830, 0, 211776, 0, 51071, 0, -236564, 0, 100410, 0, 2170, 0, 14864, 0, 122148, 0, 60090, 0, -218176, 0, -69130, 0, 238842, 0, 10108, 0, 20586, 0, 298186, 0, -3750, 0, -142342, 0, -50344, 0, 393072, 0, -155582, 0, -105410, 0, 65992, 0, -148150, 0, -182864, 0, -182478, 0, 39940, 0, -11620, 0, 125712, 0, -1416, 0, -242830, 0, -105200, 0, -55402, 0, -60976, 0, 33026, 0, -115882, 0, 53800, 0, 105600, 0, -360648, 0, 121204, 0, 169620, 0, 1050, 0, 1588, 0, 44506, 0, -195468, 0, 97658, 0, 15660, 0, -133312, 0, 93478, 0, -71624, 0, 67664, 0, 47920, 0, -44208, 0, 20730, 0, 265164, 0, -39760, 0, -13560, 0, 248056, 0, -155032, 0, 73972, 0, 191294, 0, 110200, 0, 39144, 0, 327640, 0, 286852, 0, -43184, 0, -9050, 0, 44142, 0, 73160, 0, 103894, 0, 195416, 0, -18740, 0, -164198, 0, -69616, 0, -215632, 0, 172284, 0, -50120, 0, -50162, 0, -96598, 0, 501272, 0, -133836, 0, 82740, 0, 193276, 0, -3626, 0, 38518, 0, -186628, 0, -5140, 0, -26534, 0, 119740, 0, -163496, 0, 10227, 0, 64475, 0, 9124, 0, -49914, 0, 117498, 0, 116656, 0, 114480, 0, -113526, 0, 286432, 0, 103784, 0, 197572, 0, 5230, 0, -164792, 0, 217276, 0, -64148, 0, -172126, 0, 134700, 0, -61562, 0, -87936, 0, 32198, 0, 285064, 0, 38080, 0, 47672, 0, -102356, 0, -126240, 0, -156128, 0, -42400, 0, -103888, 0, -71470, 0, -118946, 0, 339112, 0, 118660, 0, -262184, 0, -144458, 0, -85724, 0, -117544, 0, -6760, 0, -145166, 0, -190964, 0, 172358, 0, 333402, 0, -75400, 0, -33908, 0, -412200, 0, 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