Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 34848, 'analytic_conductor': 128.50615999250306, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [11, 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': [2178, 1, [1937, 1333], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-39, -6, 1]], [7, [6, 1]], [17, [225, -60, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789633484930, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 144446, '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': '2178.4.a.bc', 'level': 2178, '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, 3, 11], 'level_radical': 66, 'minimal_twist': '726.4.a.j', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+4q^{4}+(3+4\\beta )q^{5}-6q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2178.4.a', 'trace_display': [-4, 0, 6, -12], 'trace_hash': 1934067333788960736, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.996', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '9.826', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '66.578', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 4}, 'traces': [2, -4, 0, 8, 6, 0, -12, -16, 0, -12, 0, 0, 60, 24, 0, 32, 60, 0, -120, 24, 0, 0, 48, 0, -136, -120, 0, -48, -144, 0, 176, -64, 0, -120, -36, 0, 14, 240, 0, -48, -108, 0, -612, 0, 0, -96, 792, 0, -614, 272, 0, 240, 378, 0, 0, 96, 0, 288, 744, 0, -888, -352, 0, 128, 876, 0, 8, 240, 0, 72, 192, 0, 48, -28, 0, -480, 0, 0, -2040, 96, 0, 216, 672, 0, -180, 1224, 0, 0, -1326, 0, -360, 192, 0, -1584, -552, 0, 1666, 1228, 0, -544, 960, 0, 832, -480, 0, -756, -804, 0, -2196, 0, 0, -192, 654, 0, -96, -576, 0, -1488, -360, 0, 0, 1776, 0, 704, -582, 0, -2232, -256, 0, -1752, 1020, 0, 720, -16, 0, -480, -3156, 0, -1860, -144, 0, -384, 0, 0, -1080, -96, 0, 56, 3960, 0, -4776, 960, 0, 0, -2640, 0, 1508, 4080, 0, -192, -288, 0, -536, -432, 0, -1344, 1428, 0, 2452, 360, 0, -2448, 144, 0, 816, 0, 0, 2652, -3480, 0, 2566, 720, 0, -384, 1338, 0, 0, 3168, 0, 1104, 3000, 0, -696, -3332, 0, -2456, 3888, 0, 3224, 1088, 0, -1920, 864, 0, -2844, -1664, 0, 960, 0, 0, 2820, 1512, 0, 1608, -4716, 0, -1056, 4392, 0, 0, -810, 0, 184, 384, 0, -1308, -5364, 0, 9854, 192, 0, 1152, -6036, 0, 3816, 2976, 0, 720, -5664, 0, 7968, 0, 0, -3552, -1842, 0, -4992, -1408, 0, 1164, -3336, 0, 0, 4464, 0, 512, -1350, 0, -84, 3504, 0, -2040, -6096, 0, 6318, -1440, 0, 32, -7038, 0, -7284, 960, 0, 6312, 0, 0, 3636, 3720, 0, 288, -9240, 0, -12564, 768, 0, 0, 648, 0, -6676, 2160, 0, 192, -2304, 0, 744, -112, 0, -7920, -300, 0, 3672, 9552, 0, -1920, -6216, 0, 8604, 0, 0, 5280, 6840, 0, -3658, -3016, 0, -8160, 228, 0, 0, 384, 0, 576, -2880, 0, 96, 1072, 0, 864, -4752, 0, -10160, 2688, 0, -2856, 1608, 0, -17688, -4904, 0, -720, 0, 0, 7800, 4896, 0, -288, -12432, 0, -12468, -1632, 0, 0, -6126, 0, -14064, -5304, 0, 6960, -804, 0, -6134, -5132, 0, -1440, 3312, 0, -13928, 768, 0, -2676, -2268, 0, 11784, 0, 0, -6336, -9018, 0, -5000, -2208, 0, -6000, -5208, 0, 0, 1392, 0, 6664, -4314, 0, 2340, 4912, 0, -7776, -9288, 0, 1258, -6448, 0, -2176, -5994, 0, -17688, 3840, 0, -1728, 0, 0, -9888, 5688, 0, 3328, -4464, 0, -6048, -1920, 0, 0, -14616, 0, 20378, -5640, 0, -3024, -6240, 0, 5328, -3216, 0, 9432, -3276, 0, 4018, 2112, 0, -8784, -2400, 0, -6552, 0, 0, 1620, -3792, 0, 3750, -368, 0, -768, -534, 0, 0, 2616, 0, 10728, -5256, 0, -18576, -19708, 0, -384, 7416, 0, 1624, -2304, 0, 12072, 1968, 0, -48, -7632, 0, -5952, 0, 0, 7008, -1440, 0, 11328, 13668, 0, 9816, -15936, 0, 0, -6522, 0, -23440, 7104, 0, 3684, 2688, 0, -1890, 9984, 0, 2816, -1152, 0, -25504, -2328, 0, 6672, -12156, 0, -8640, 0, 0, -8928, -34548, 0, -288, -1024, 0, 2700, 12432, 0, 0, 168, 0, -7008, -14700, 0, -8160, 4080, 0, 12192, 17160, 0, -22582, -12636, 0, 2880, -21510, 0, 15732, -64, 0, 14076, 0, 0, -14424, 14568, 0, -1920, -7572, 0, 2400, -12624, 0, 0, 9936, 0, 12240, -7272, 0, -7440, -26352, 0, -39240, -576, 0, 18480, 8388, 0, 20058, 25128, 0, -1536, 22488, 0, -18852, 0, 0, -1296, -4704, 0, 15386, 13352, 0, -4320, -4032, 0, 0, -384, 0, 4608, 4248, 0, -4224, -1488, 0, 224, -11700, 0, 1080, 15840, 0, 600, -17928, 0, 3888, -7344, 0, -19104, 0, 0, 4920, 3840, 0, 12432, 34200, 0, -9948, -17208, 0, 0, 40518, 0, -2840, -10560, 0, -13680, 7956, 0, -1546, 7316, 0, 6032, -4440, 0, -25240, 16320, 0, -456, -5640, 0, -18420, 0, 0, -768, -46398, 0, -30416, -1152, 0, 5760, 6360, 0, 0, -192, 0, -2144, -2436, 0, -3276, -1728, 0, 9504, 45144, 0, 4562, 20320, 0, -5376, 3312, 0, -1836, 5712, 0, -3216, 0, 0, -12000, 35376, 0, 9808, 17832, 0, -9996, 1440, 0, 0, -8496, 0, -27708, -15600, 0, -9792, 48924, 0, 17464, 576, 0, 24864, 18708, 0, 6210, 24936, 0, 3264, 14160, 0, -3432, 0, 0, 12252, -5760, 0, -4900, 28128, 0, 10608, 12144, 0, 0, -13920, 0, 1608, 49992, 0, -4992, 12268, 0, 10264, 5904, 0, -8416, 2880, 0, -6624, -7560, 0, 27468, 27856, 0, -1536, 0, 0, -20952, 5352, 0, 4536, -16812, 0, 14544, -23568, 0, 0, 4824, 0, -16408, 12672, 0, 18036, -21720, 0, -14854, 10000, 0, 4416, 20604, 0, 13176, 12000, 0, 10416, 11532, 0, 11976, 0, 0, -2784, -9972, 0, -30976, -13328, 0, 8628, 11520, 0, 0, -4680, 0, -9824, -6420, 0, 23664, 15552, 0, 18576, -3924, 0, -52392, -2516, 0, 12896, -24828, 0, 18360, 4352, 0, 11988, 0, 0, 576, 35376, 0, -7680, 47688, 0, 32400, 3456, 0, 0, -34872, 0, 42480, 19776, 0, -11376, 5712, 0, -9176, -6656, 0, 8928, -11244, 0, 33106, 12096, 0, 3840, -18420, 0, 540, 0, 0, 29232, 68016, 0, -34036, -40756, 0, 11280, 49116, 0, 0, 6048, 0, 12480, -2904, 0, 27924, -10656, 0, 6432, 3000, 0, -35024, -18864, 0, 6552, -42264, 0, 56016, -8036, 0, -4224, 0, 0, 11724, 17568, 0, 4800, 3492, 0, 83532, 13104, 0, 0, 33870, 0, -33592, -3240, 0, 7584, 1932, 0, 13392, -7500, 0, 736, -50400, 0, -42504, 1536, 0, 1068, 8712, 0, -8100, 0, 0, -5232, -28446, 0, 23344, -21456, 0, 10512, -32904, 0, 0, 37152, 0, 39416, -6120, 0, 28476, 768, 0, -14832, -100380, 0, 6824, -3248, 0, 4608, 14310, 0, 36840, -24144, 0, -3936, 0, 0, 45264, 96, 0, 15264, -61128, 0, 3708, 11904, 0, 0, -71520, 0, 24408, -14016, 0, 2880, 37644, 0, 38568, -22656, 0, -27336, 18936, 0, 60450, -19632, 0, 31872, 25584, 0, 25068, 0, 0, 13044, 3360, 0, 11160, 46880, 0, -14208, 94566, 0, 0, -7368, 0, -5376, 28488, 0, 48312, 3780, 0, -19968, -7488, 0, 45704, -5632, 0, 2304, 27096, 0, 34668, 51008, 0, 4656, 0, 0, 27900, -13344, 0, 24312, -33048, 0, 15072, 17280, 0, 0, -27732, 0, 6480, 17856, 0, 69096, 25548, 0, 46852, 576, 0, 2048, -7776, 0, -84168, -5400, 0, -24864, 23352, 0, 25656, 0, 0, -336, -13320, 0, 26320, 14016, 0, 29400, -23760, 0, 0, 16320, 0, -8160, 29406, 0, 51120, -24384, 0, -34320, -6900, 0, 28656, 45164, 0, 25272, -38478, 0, -8988, -5760, 0, 43020, 0, 0, -2340, -31464, 0, 128, -9756, 0, 24336, -28152, 0, 0, -38304, 0, 15408, 28848, 0, -29136, 15840, 0, -48760, 3840, 0, 15144, -56328, 0, -9748, -4800, 0, 25248, -30060, 0, -9048, 0, 0, -19872, 29280, 0, 7650, -24480, 0, 14544, 8172, 0, 0, 14880, 0, 52704, 2856, 0, 22308, 78480, 0, 1152, -41664, 0, 56752, -36960, 0, -16776, -14736, 0, -52944, -40116, 0, -50256, 0, 0, -58428, 3072, 0, -44976, -5700, 0, 3216, 37704, 0, 0, 46698, 0, -41536, 2592, 0, 9408, 88344, 0, 44036, -30772, 0, -26704, 16248, 0, 60384, 8640, 0, 8064, 118776, 0, -33444, 0, 0, 768, -8568, 0, -48280, -9216, 0, -8496, -45216, 0, 0, 8448, 0, 2976, -54954, 0, -14712, -448, 0, 23400, -15108, 0, 24786, -2160, 0, -31680, -60054, 0, 32832, -1200, 0, 35856, 0, 0, 17760, -7776, 0, 14688, -14592, 0, 60660, 38208, 0, 0, -864, 0, 8812, -9840, 0, -7680, -69420, 0, -3888, -24864, 0, -68400, -29976, 0, 41752, 19896, 0, 34416, 23760, 0, 55020, 0, 0, -81036, -62496, 0, 44854, 5680, 0, 21120, -10440, 0, 0, 27360, 0, -15912, 63504, 0, -408, 3092, 0, -14632, 20880, 0, -28968, -12064, 0, 8880, 72744, 0, -33540, 50480, 0, -32640, 0, 0, -15396, 912, 0, 11280, 73656, 0, -3648, 36840, 0, 0, 67308, 0, -45896, 1536, 0, 92796, -26676, 0, 85374, 60832, 0, 2304, 77316, 0, 102056, -11520, 0, -12720, -8028, 0, -36024, 0, 0, 384, 7674, 0, 22064, 4288, 0, 4872, -105696, 0, 0, 6552, 0, 3456, -54720, 0, -11376, -19008, 0, -90288, -384, 0, 38678, -9124, 0, -40640, 5400, 0, 95688, 10752, 0, -6624, 0, 0, 41184, 3672, 0, -11424, -18000, 0, 96996, 6432, 0, 0, -49320, 0, -28026, 24000, 0, -70752, 17760, 0, 4176, -19616, 0, -35664, 24708, 0, 21576, 19992, 0, -2880, -5880, 0, -66744, 0, 0, 16992, 74088, 0, -83712, 55416, 0, 31200, -120702, 0, 0, 19584, 0, -97848, -23328, 0, -54300, -34928, 0, -1152, 81156, 0, -9216, -49728, 0, -37416, 107424, 0, -19344, -12420, 0, -49872, 0, 0, 24012, -6528, 0, -28320, -12432, 0, -53064, 6864, 0, 0, 25710, 0, 50400, -24504, 0, 11520, -51420, 0, -73014, 9800, 0, -56256, 44208, 0, -162968, -21216, 0, -24288, -178920, 0, -14244, 0, 0, 27840, 3294, 0, 17064, -3216, 0, -99984, -39168, 0, 0, 9984, 0, -24536, -41628, 0, -34152, -20528, 0, -11808, 98496, 0, 123178, 16832, 0, -5760, 22176, 0, -42696, 13248, 0, 15120, 0, 0, -10728, -54936, 0, -55712, 150816, 0, -68472, 3072, 0, 0, -59520, 0, -16920, 41904, 0, -10704, -40908, 0, -24832, -9072, 0, 33624, 5028, 0, -39100, -29088, 0, 47136, -14808, 0, 8604, 0, 0, -9648, 99816, 0, 128736, 32816, 0, -25344, 28296, 0, 0, -36072, 0, 43440, -113520, 0, -68760, 29708, 0, -20000, -34776, 0, -54032, -8832, 0, -41208, -3912, 0, 39072, -26352, 0, -24000, 0, 0, 34464, -20832, 0, -23064, -30444, 0, -62208, -23952, 0, 0, -3768, 0, 7832, 5568, 0, 19944, 4860, 0, 31442, 61952, 0, 26656, 21912, 0, 58536, -17256, 0, -23040, 154956, 0, -1104, 0, 0, 9360, -128766, 0, -93976, 19648, 0, 12840, -71496, 0, 0, -47328, 0, -31104, -24192, 0, -164880, -37152, 0, 7848, 90132, 0, -83220, 104784, 0, 5032, 32184, 0, -43164, -25792, 0, 49656, 0, 0, -108360, -36720, 0, -8704, 55788, 0, -59124, -23976, 0, 0, -20904, 0, 23774, -1152, 0, -70752, 8976, 0, 7200, 15360, 0, -95376, 50100, 0, -49718, -64800, 0, -6912, -139260, 0, -108432, 0, 0, 69744, 36216, 0, 41208, -84960, 0, -39552, 89286, 0, 0, 22752, 0, -11424, -137808, 0, -22896, 18352, 0, 13312, 93180, 0, -59304, -17856, 0, 22488, 19344, 0, 76176, -66212, 0, -24192, 0, 0, -59928, -7680, 0, 36840, 21684, 0, -132036, -1080, 0, 0, 33984, 0, 8960, -58464, 0, -136032, -6768, 0, -65860, 68072, 0, 81512, -81552, 0, -47808, -22560, 0, -98232, 64104, 0, 68712, 0, 0, -12096, 46602, 0, 67088, -24960, 0, 5808, -15336, 0, 0, -55848, 0, 21312, 167892, 0, -43524, -12864, 0, -6000, 23400, 0, 72000, 70048, 0, 37728, 152340, 0, -176976, -13104, 0, 84528, 0, 0, 29952, -112032, 0, 16072, -113232, 0, -13680, 8448, 0, 0, 24984, 0, 97762, -23448, 0, -35136, -33636, 0, -26816, -9600, 0, -6984, -12300, 0, 80570, -167064, 0, -26208, 20016, 0, 87720, 0, 0, -67740, 108648, 0, 10758, 67184, 0, 6480, 87912, 0, 0, -15168, 0, -3864, -100896, 0, 156096, -26784, 0, 15000, -226920, 0, -41824, -1472, 0, 100800, -5448, 0, -184284, 85008, 0, -3072, 0, 0, -53388, -2136, 0, -17424, 8100, 0, -113040, 16200, 0, 0, 4638, 0, 120288, 10464, 0, 56892, -43284, 0, -4298, -46688, 0, 42912, -41040, 0, -92160, -21024, 0, 65808, -256908, 0, 15744, 0, 0, -74304, 114576, 0, 149360, -78832, 0, 12240, -70440, 0, 0, -56952, 0, -1536, 36576, 0, -76920, 29664, 0, 200760, 51144, 0, 114658, -13648, 0, 6496, -62190, 0, -37908, -9216, 0, -28620, 0, 0, 97932, -73680, 0, 48288, -13032, 0, 17916, 7872, 0, 0, 31560, 0, -56900, -90528, 0, -192, -73104, 0, -103096, -30528, 0, 122256, 42228, 0, -96606, -7416, 0, -23808, 158316, 0, 39072, 0, 0, 143040, -111912, 0, 43704, -48816, 0, 28032, 22182, 0, 0, -5760, 0, -75288, 76176, 0, 36288, -77136, 0, 45312, 19644, 0, -108024, 54672, 0, -37872, -34560, 0, -48240, -120900, 0, 39264, 0, 0, -80568, -63744, 0, -51168, -241656, 0, -104184, -50136, 0, 0, 138114, 0, -21816, -26088, 0, -6720, -11268, 0, 11346, -22320, 0, -93760, -42480, 0, 91880, 28416, 0, -189132, -8820, 0, -69792, 0, 0, 14736, 72630, 0, -196872, 10752, 0, -56976, 55440, 0, 0, -96624, 0, -7560, 254298, 0, 119712, 39936, 0, 14976, -54264, 0, 75384, -91408, 0, 11264, 136398, 0, 36888, -4608, 0, -54192, 0, 0, -26544, -69336, 0, -102016, 11304, 0, -205236, -9312, 0, 0, -11376, 0, -11502, -55800, 0, 26688, 33156, 0, -92704, -48624, 0, 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