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': 6053, 'field_disc_factorization': [[6053, 1]], 'field_poly': [-31, -20, 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': [[3, [-24, -59, 2, 1]], [11, [-41444, -2855, 10, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582926153920, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'id': 146512, '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.bu', '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.h', 'nf_label': '3.3.6053.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+5q^{5}+7q^{7}+(13+\\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, -2, 15, 21], 'trace_hash': 144536849702501188, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.069', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.827', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.289', 'prec': 10}, {'__RealLiteral__': 0, 'data': '22.133', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.742', 'prec': 14}, {'__RealLiteral__': 0, 'data': '255.078', 'prec': 20}], 'trace_zratio': 0, 'traces': [3, 0, -2, 0, 15, 0, 21, 0, 41, 0, -10, 0, 64, 0, -10, 0, 132, 0, -160, 0, -14, 0, 40, 0, 75, 0, -182, 0, -348, 0, 396, 0, 822, 0, 105, 0, 18, 0, -98, 0, 478, 0, 220, 0, 205, 0, -270, 0, 147, 0, 398, 0, -718, 0, -50, 0, 1584, 0, -480, 0, -358, 0, 287, 0, 320, 0, 2172, 0, -1152, 0, 368, 0, 510, 0, -50, 0, -70, 0, -150, 0, 35, 0, -1056, 0, 660, 0, -2266, 0, 422, 0, 448, 0, -332, 0, -800, 0, -1172, 0, -744, 0, -738, 0, -1566, 0, -70, 0, 1296, 0, 1376, 0, -3048, 0, 1282, 0, 200, 0, 5786, 0, 924, 0, 1817, 0, 6572, 0, 375, 0, -4360, 0, 2368, 0, 880, 0, -1120, 0, -910, 0, -2506, 0, -1724, 0, -1226, 0, 1018, 0, -1740, 0, -98, 0, 3734, 0, -4382, 0, 4174, 0, 1980, 0, 1938, 0, 2200, 0, 280, 0, -688, 0, 4110, 0, 3602, 0, 4431, 0, -5544, 0, 1452, 0, 525, 0, -8720, 0, -5652, 0, -290, 0, 1716, 0, 90, 0, 3914, 0, -1274, 0, 286, 0, 1262, 0, -490, 0, -778, 0, 8520, 0, -5192, 0, -2436, 0, 2390, 0, -6336, 0, 10248, 0, 2762, 0, -6272, 0, 1100, 0, 2772, 0, -11436, 0, 9014, 0, 2218, 0, 1025, 0, 1766, 0, 10506, 0, 5754, 0, 7562, 0, -1350, 0, 10086, 0, 12930, 0, 13402, 0, -2696, 0, 735, 0, -5696, 0, -5696, 0, -18772, 0, -10680, 0, 1990, 0, 862, 0, 126, 0, 5182, 0, 1452, 0, -3590, 0, 556, 0, -4894, 0, 4188, 0, -686, 0, -250, 0, 14166, 0, 27200, 0, 17528, 0, 4338, 0, 7920, 0, 3346, 0, -2693, 0, 18630, 0, -2892, 0, -2400, 0, 5898, 0, -16288, 0, 1540, 0, -3048, 0, -1790, 0, -5174, 0, 9214, 0, 3600, 0, -4576, 0, 1435, 0, 4734, 0, -13846, 0, 7164, 0, -2160, 0, 1600, 0, -13846, 0, -1890, 0, 4796, 0, 15930, 0, 10860, 0, 4670, 0, 2408, 0, 5444, 0, 1029, 0, -5760, 0, 9660, 0, 5902, 0, -13982, 0, 21020, 0, 1840, 0, 2786, 0, 5864, 0, 6311, 0, 2124, 0, 2550, 0, 3322, 0, -22238, 0, -5026, 0, 4822, 0, -250, 0, 4958, 0, 4892, 0, 12496, 0, -4536, 0, -350, 0, 9092, 0, 6896, 0, -14544, 0, 31664, 0, -750, 0, 340, 0, 11088, 0, 4804, 0, 51820, 0, 175, 0, -17096, 0, 11430, 0, 1388, 0, -3360, 0, -5280, 0, -11932, 0, -14968, 0, -4696, 0, -18916, 0, 3300, 0, -2506, 0, 49854, 0, -1706, 0, -2922, 0, -11330, 0, -12968, 0, -12716, 0, 2009, 0, -5964, 0, 2110, 0, 9692, 0, -2456, 0, 39348, 0, 18238, 0, 2240, 0, 10902, 0, -10318, 0, 17422, 0, -22900, 0, -1660, 0, -19150, 0, 15204, 0, -10996, 0, 19736, 0, -4000, 0, -40078, 0, 19168, 0, 22644, 0, -8064, 0, -5860, 0, -13388, 0, -4788, 0, 5778, 0, -17882, 0, -3720, 0, 2576, 0, 22750, 0, -6818, 0, -11762, 0, -3690, 0, -5928, 0, 13690, 0, 3570, 0, 23808, 0, -7830, 0, -14486, 0, -55214, 0, 26242, 0, -15168, 0, -350, 0, 46044, 0, 6899, 0, 18704, 0, -26672, 0, 6480, 0, -11432, 0, -490, 0, -964, 0, -9864, 0, 6880, 0, 24264, 0, -8250, 0, -13896, 0, -1050, 0, -15240, 0, -24558, 0, 24408, 0, 55694, 0, 35088, 0, 6410, 0, 245, 0, -25714, 0, -17580, 0, 28882, 0, 1000, 0, 41080, 0, -7060, 0, -7392, 0, 4928, 0, 28930, 0, -26552, 0, -29176, 0, 11484, 0, 19832, 0, 4620, 0, -38968, 0, -8010, 0, 13574, 0, 32948, 0, 9085, 0, 34870, 0, -15862, 0, -40430, 0, -1282, 0, 32860, 0, 28150, 0, -1520, 0, 5712, 0, 2954, 0, 1875, 0, -54896, 0, 2476, 0, -1618, 0, -21550, 0, -21800, 0, 3136, 0, 21872, 0, -21946, 0, 56558, 0, 11840, 0, -1352, 0, -56272, 0, -2324, 0, -23310, 0, 4400, 0, -26814, 0, 48558, 0, -2010, 0, 22478, 0, -5600, 0, -1944, 0, -21290, 0, 10908, 0, -5986, 0, -4550, 0, -17104, 0, -8204, 0, -45542, 0, -34016, 0, -12530, 0, 26468, 0, -70684, 0, 984, 0, -5208, 0, -8620, 0, 26312, 0, -22160, 0, 5564, 0, -41608, 0, -6130, 0, -5166, 0, -16604, 0, -18516, 0, -73544, 0, 5090, 0, -2058, 0, 16360, 0, -10962, 0, -39368, 0, -8700, 0, -39752, 0, -60577, 0, 33720, 0, 12032, 0, -490, 0, -33608, 0, -57330, 0, 97224, 0, 7696, 0, 18670, 0, -65968, 0, 9072, 0, 37074, 0, 2860, 0, -21910, 0, -40438, 0, -43552, 0, 5194, 0, 9632, 0, 20870, 0, 13168, 0, 6022, 0, 50444, 0, 37952, 0, 9900, 0, -21336, 0, 64488, 0, -39808, 0, -11254, 0, 9690, 0, 9854, 0, 5196, 0, 8974, 0, -9920, 0, 11000, 0, 23004, 0, -41086, 0, -31798, 0, -94332, 0, 1400, 0, 32348, 0, 6396, 0, 19340, 0, -44964, 0, -3440, 0, 15576, 0, 40502, 0, 66448, 0, -92660, 0, 20550, 0, 40440, 0, -7750, 0, 30820, 0, 6468, 0, 18010, 0, -67940, 0, 67056, 0, 32023, 0, -7030, 0, 22155, 0, 12719, 0, -110330, 0, -9704, 0, 53530, 0, -27720, 0, -101522, 0, 25104, 0, 46004, 0, 24588, 0, 7260, 0, 71344, 0, 68242, 0, 41632, 0, -56514, 0, 2625, 0, 20258, 0, 88922, 0, -71726, 0, 31040, 0, -43600, 0, -32656, 0, -30520, 0, -65826, 0, 3072, 0, -28260, 0, -61944, 0, 6036, 0, -61044, 0, 16576, 0, -1450, 0, -100332, 0, -72186, 0, -48936, 0, -60592, 0, 8580, 0, 6160, 0, -42110, 0, 63814, 0, 23456, 0, 450, 0, -11452, 0, 32666, 0, -7840, 0, -94864, 0, 19570, 0, -17020, 0, -7494, 0, 76474, 0, 3912, 0, -6370, 0, -784, 0, -89976, 0, -34716, 0, -41506, 0, 1430, 0, -48250, 0, -17542, 0, 157971, 0, -50748, 0, 6310, 0, 868, 0, 73816, 0, -64748, 0, -12068, 0, -2450, 0, -64462, 0, -7788, 0, -4586, 0, -32762, 0, -3890, 0, -8582, 0, -58776, 0, -7960, 0, -152504, 0, 42600, 0, -50844, 0, -47640, 0, 7126, 0, -44688, 0, -25960, 0, 68464, 0, 38852, 0, 58100, 0, -30790, 0, -12180, 0, -70790, 0, -57764, 0, 37010, 0, 253236, 0, 11950, 0, -6174, 0, -686, 0, 25230, 0, 51446, 0, -31680, 0, -10872, 0, -5704, 0, 54688, 0, 26138, 0, 51240, 0, -58696, 0, 99234, 0, -70258, 0, -82456, 0, 13810, 0, -30674, 0, 37950, 0, 87824, 0, -29000, 0, -31360, 0, 121298, 0, -49182, 0, 29218, 0, 85108, 0, 5500, 0, -71936, 0, -144800, 0, 74256, 0, -188498, 0, 13860, 0, 2468, 0, 122601, 0, 49012, 0, -24934, 0, -57180, 0, -85618, 0, 13566, 0, -96266, 0, 18076, 0, 45070, 0, 62996, 0, -60546, 0, -44200, 0, 15400, 0, 11090, 0, -64614, 0, 144748, 0, -88288, 0, 55526, 0, 5125, 0, 1960, 0, 30028, 0, -148450, 0, 68450, 0, 8830, 0, -106824, 0, 76208, 0, -4816, 0, -21592, 0, 52530, 0, 97992, 0, -104400, 0, 67268, 0, -42754, 0, 28770, 0, -63616, 0, 37448, 0, -12944, 0, 9132, 0, 37810, 0, -92990, 0, 25214, 0, 16354, 0, -101704, 0, -6750, 0, 31732, 0, -41336, 0, -41638, 0, 31017, 0, 50430, 0, 83524, 0, -237424, 0, 47386, 0, 4160, 0, 64650, 0, -38808, 0, -107194, 0, -25672, 0, 144038, 0, 67010, 0, 480, 0, -38804, 0, 10164, 0, -50450, 0, -13480, 0, -103108, 0, 74432, 0, 86216, 0, 83626, 0, 3675, 0, -113156, 0, -110210, 0, -11660, 0, 13594, 0, -28480, 0, -25918, 0, -61040, 0, -92880, 0, -9784, 0, -28480, 0, -53232, 0, 126338, 0, 125872, 0, -39564, 0, -93860, 0, -188840, 0, -54176, 0, -52450, 0, 97426, 0, -53400, 0, -2030, 0, 39802, 0, -92480, 0, -160608, 0, 9950, 0, -68524, 0, 21668, 0, 12012, 0, -34712, 0, 4310, 0, -99156, 0, -131306, 0, -45412, 0, -43502, 0, 630, 0, -57226, 0, -74308, 0, -886, 0, 120524, 0, 25910, 0, 74286, 0, 27398, 0, -5624, 0, -150564, 0, 7260, 0, 51108, 0, -50308, 0, 207230, 0, -8918, 0, -17950, 0, -55928, 0, 116736, 0, 64302, 0, 121528, 0, 2780, 0, 2002, 0, 11002, 0, 198514, 0, 34690, 0, -24470, 0, 68690, 0, -95552, 0, 8834, 0, -8004, 0, 20940, 0, 42592, 0, -6916, 0, -142370, 0, 19226, 0, -3430, 0, -111856, 0, -30251, 0, 185836, 0, 76558, 0, -1250, 0, -86804, 0, -5446, 0, 74350, 0, -253312, 0, 70830, 0, -145392, 0, -171476, 0, -85188, 0, 59640, 0, 136000, 0, 97520, 0, 73124, 0, 108254, 0, -15608, 0, 87640, 0, -36344, 0, -46284, 0, -155712, 0, 110686, 0, 21690, 0, -56214, 0, 120128, 0, -17052, 0, -46708, 0, 39600, 0, 119286, 0, -5178, 0, 112696, 0, -13516, 0, 16730, 0, 58080, 0, -92762, 0, 215784, 0, -198432, 0, -13465, 0, 2938, 0, -44352, 0, -194972, 0, 194630, 0, 93150, 0, -193764, 0, 3508, 0, 113244, 0, 71736, 0, -14460, 0, -114300, 0, -139484, 0, 206096, 0, 22434, 0, -12000, 0, 19334, 0, -191250, 0, -39900, 0, 60078, 0, 29490, 0, 59114, 0, -13794, 0, -43904, 0, -135182, 0, -81440, 0, 7950, 0, 58010, 0, 129992, 0, 161204, 0, 7700, 0, 22228, 0, -34726, 0, 32760, 0, -26216, 0, -15240, 0, -243540, 0, 19404, 0, 77739, 0, 100396, 0, -8950, 0, 136036, 0, -40372, 0, -35304, 0, -80052, 0, -25870, 0, -16020, 0, -80304, 0, 75648, 0, 954, 0, 46070, 0, 63098, 0, 106366, 0, -186266, 0, 140088, 0, 18000, 0, 49442, 0, -228064, 0, 15526, 0, -232200, 0, -22880, 0, 101624, 0, -84808, 0, 129956, 0, 244306, 0, 7175, 0, -1168, 0, -128846, 0, 127484, 0, 175360, 0, 23670, 0, 138726, 0, 12362, 0, -16736, 0, -66608, 0, -69230, 0, -16302, 0, 426596, 0, 113502, 0, 73542, 0, 35820, 0, -157592, 0, 186514, 0, -163324, 0, 19170, 0, -10800, 0, 40278, 0, -38498, 0, 213366, 0, 52806, 0, 8000, 0, -244360, 0, 31086, 0, 52934, 0, 37568, 0, -69230, 0, -217184, 0, 126044, 0, 66604, 0, -341344, 0, -9450, 0, 35820, 0, 7478, 0, 11744, 0, 67888, 0, 23980, 0, 1936, 0, 70602, 0, 144586, 0, -107856, 0, 79650, 0, 8632, 0, 206334, 0, -267728, 0, 90510, 0, 54300, 0, 137608, 0, 304512, 0, 380873, 0, 31324, 0, 23350, 0, 93814, 0, -100264, 0, -216, 0, 233272, 0, 12040, 0, 31438, 0, 62952, 0, -18872, 0, 8800, 0, 27220, 0, -86052, 0, 233776, 0, 265296, 0, -75280, 0, 5145, 0, -137692, 0, -257452, 0, -31986, 0, -149036, 0, -28800, 0, -49556, 0, -39872, 0, -42926, 0, 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