Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 39936, 'analytic_conductor': 147.26876737432858, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [13, -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': [2496, 1, [703, 1093, 833, 769], [1, 1, 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, [-8, -4, 1]], [7, [-104, 4, 1]], [11, [-236, -28, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990751373760, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'id': 155238, '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': '2496.4.a.z', 'level': 2496, '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, 13], 'level_radical': 78, 'minimal_twist': '312.4.a.a', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}+(2+\\beta )q^{5}+(-2-3\\beta )q^{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': '2496.4.a', 'trace_display': [0, -6, 4, -4], 'trace_hash': 2190623020654419240, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.979', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.128', 'prec': 10}, {'__RealLiteral__': 0, 'data': '9.913', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.826', 'prec': 10}, {'__RealLiteral__': 0, 'data': '68.088', 'prec': 17}], 'trace_zratio': 0, 'traces': [2, 0, -6, 0, 4, 0, -4, 0, 18, 0, 28, 0, 26, 0, -12, 0, -36, 0, 44, 0, 12, 0, 8, 0, -218, 0, -54, 0, 204, 0, 164, 0, -84, 0, -80, 0, 668, 0, -78, 0, -100, 0, -272, 0, 36, 0, -60, 0, -462, 0, 108, 0, 708, 0, -88, 0, -132, 0, -180, 0, 1068, 0, -36, 0, 52, 0, -420, 0, -24, 0, -436, 0, -412, 0, 654, 0, 376, 0, -672, 0, 162, 0, -124, 0, 552, 0, -612, 0, 140, 0, -52, 0, -492, 0, -752, 0, -188, 0, 252, 0, -2572, 0, 760, 0, 240, 0, 1040, 0, 1324, 0, -2004, 0, 908, 0, -848, 0, 234, 0, -1800, 0, -1406, 0, 300, 0, -840, 0, -2456, 0, 816, 0, 816, 0, 2432, 0, -108, 0, 2460, 0, 72, 0, 180, 0, 364, 0, 984, 0, 1386, 0, -908, 0, -1364, 0, -324, 0, 352, 0, 3508, 0, -2124, 0, 2576, 0, 1076, 0, 264, 0, 244, 0, 338, 0, 396, 0, 3060, 0, 148, 0, 540, 0, 3288, 0, 2788, 0, -3204, 0, 1384, 0, -4248, 0, 108, 0, 1568, 0, -1276, 0, -156, 0, -5564, 0, 4104, 0, 1260, 0, -2136, 0, -2816, 0, 72, 0, 5656, 0, 2984, 0, 1308, 0, 848, 0, -400, 0, 1236, 0, -468, 0, -332, 0, -1962, 0, -6268, 0, 4620, 0, -1128, 0, 2020, 0, 360, 0, 2016, 0, 6828, 0, 3652, 0, -486, 0, -636, 0, 572, 0, 372, 0, -9376, 0, 5296, 0, -1656, 0, 11444, 0, -1480, 0, 1836, 0, 3112, 0, -888, 0, -420, 0, 8012, 0, 12620, 0, 156, 0, -3628, 0, 3252, 0, 1476, 0, 2012, 0, -1648, 0, 2256, 0, 8048, 0, 7046, 0, 564, 0, 3396, 0, 696, 0, -756, 0, 104, 0, -3632, 0, 7716, 0, 1368, 0, -1372, 0, -2280, 0, 9160, 0, -372, 0, -720, 0, -2764, 0, -600, 0, -3120, 0, -22632, 0, -2834, 0, -3972, 0, -1320, 0, 3324, 0, 6012, 0, 3744, 0, 3084, 0, -2724, 0, 2152, 0, 1432, 0, 2544, 0, 4968, 0, 6924, 0, -702, 0, 17372, 0, -1688, 0, 5400, 0, 948, 0, 16650, 0, 4218, 0, -6440, 0, -17904, 0, -900, 0, 5496, 0, -1828, 0, 2520, 0, 2652, 0, 18444, 0, 7368, 0, 14172, 0, 32, 0, -2448, 0, -2628, 0, -22608, 0, -2448, 0, 3744, 0, 6556, 0, -7296, 0, 9084, 0, 2132, 0, 324, 0, 9064, 0, 9604, 0, -7380, 0, -2808, 0, -5816, 0, -216, 0, 24144, 0, -7060, 0, -540, 0, 6420, 0, 168, 0, -1092, 0, 8540, 0, -6964, 0, -2952, 0, 30416, 0, -22520, 0, -4158, 0, 21408, 0, 4240, 0, 2724, 0, 7260, 0, 14296, 0, 4092, 0, -1040, 0, 28244, 0, 972, 0, 8724, 0, -3924, 0, -1056, 0, 22672, 0, -12912, 0, -10524, 0, -12160, 0, -8156, 0, 6372, 0, 15684, 0, 8684, 0, -7728, 0, 9848, 0, -11452, 0, -3228, 0, 10032, 0, 11304, 0, -792, 0, 3320, 0, 4476, 0, -732, 0, 10888, 0, -2696, 0, -1014, 0, -5996, 0, 17672, 0, -1188, 0, -1600, 0, -3720, 0, -9180, 0, 444, 0, 19672, 0, -444, 0, -2328, 0, 6802, 0, -1620, 0, -1300, 0, -3488, 0, -9864, 0, -8196, 0, 31356, 0, -8364, 0, 4280, 0, 5880, 0, 9612, 0, -15672, 0, -13920, 0, -4152, 0, 35684, 0, -3536, 0, 12744, 0, -40248, 0, -5768, 0, -324, 0, 8884, 0, 80, 0, -4704, 0, -4328, 0, 4244, 0, 3828, 0, 16952, 0, 23736, 0, 468, 0, 36564, 0, 2768, 0, 16692, 0, -40756, 0, -3552, 0, -12312, 0, -27640, 0, -2676, 0, -3780, 0, -6844, 0, -30208, 0, 6408, 0, -780, 0, 5580, 0, 8448, 0, -23668, 0, -13036, 0, -216, 0, -12160, 0, 20146, 0, -16968, 0, -10776, 0, 6492, 0, -8952, 0, -3328, 0, -6006, 0, -3924, 0, -12964, 0, -43108, 0, -2544, 0, 432, 0, -8856, 0, 1200, 0, 13596, 0, 17088, 0, -3708, 0, 40456, 0, 41516, 0, 1404, 0, 4960, 0, -19920, 0, 996, 0, 19560, 0, -5532, 0, 5886, 0, -9852, 0, -30296, 0, 18804, 0, -26100, 0, 9216, 0, -13860, 0, 9204, 0, -31780, 0, 3384, 0, -3408, 0, -66216, 0, -6060, 0, 9532, 0, 13016, 0, -1080, 0, -2200, 0, -14996, 0, -6048, 0, -208, 0, -1144, 0, -20484, 0, 47400, 0, 7840, 0, -10956, 0, -19932, 0, 10312, 0, 1458, 0, 41088, 0, 14380, 0, 1908, 0, -33384, 0, -50188, 0, -1716, 0, 9772, 0, 7952, 0, -1116, 0, 14624, 0, -21544, 0, 28128, 0, -8800, 0, -4276, 0, -15888, 0, 14028, 0, -7544, 0, 4968, 0, -2340, 0, 23444, 0, -34332, 0, -2364, 0, -17780, 0, 4440, 0, 89360, 0, -1208, 0, -5508, 0, 17672, 0, -60300, 0, -9336, 0, 20936, 0, 13884, 0, 2664, 0, 31036, 0, 13560, 0, 1260, 0, 27928, 0, 6592, 0, -24036, 0, -26340, 0, -45188, 0, -37860, 0, -3344, 0, -54704, 0, -468, 0, -50044, 0, 36664, 0, 10884, 0, 39596, 0, -31812, 0, -9756, 0, 15804, 0, 23432, 0, -4428, 0, -30156, 0, -14146, 0, -6036, 0, 676, 0, 14908, 0, 4944, 0, 944, 0, 844, 0, -6768, 0, -5100, 0, 21784, 0, -24144, 0, -7796, 0, -6888, 0, -21138, 0, -39936, 0, -5460, 0, -1692, 0, 17952, 0, -64180, 0, -10188, 0, -15900, 0, -61632, 0, -2088, 0, -8304, 0, 160, 0, 2268, 0, -18120, 0, 10896, 0, -312, 0, 17304, 0, -72648, 0, 10896, 0, -8728, 0, 29360, 0, -23148, 0, 3856, 0, 31672, 0, -4104, 0, -48000, 0, -68784, 0, 4116, 0, -5668, 0, -72620, 0, 6840, 0, 24316, 0, -20244, 0, -27480, 0, 2832, 0, 9548, 0, 1116, 0, 19012, 0, 93776, 0, 2160, 0, 36876, 0, -5356, 0, 8292, 0, -2316, 0, -12320, 0, 1800, 0, -17808, 0, -46110, 0, 9360, 0, -10712, 0, -24892, 0, 67896, 0, 33288, 0, 10512, 0, 8502, 0, 5244, 0, -21800, 0, 11916, 0, -50588, 0, -5248, 0, 3960, 0, -51200, 0, 5200, 0, -9972, 0, -4224, 0, -1084, 0, -18036, 0, 4888, 0, 30696, 0, -11232, 0, 96216, 0, -12716, 0, -9252, 0, 6948, 0, -12768, 0, 8172, 0, 48132, 0, 22524, 0, -6456, 0, 436, 0, -8736, 0, -4296, 0, 75800, 0, 39684, 0, -7632, 0, -39192, 0, 76232, 0, -14904, 0, -27488, 0, -3616, 0, -20772, 0, -79932, 0, -39020, 0, 2106, 0, 9424, 0, 20944, 0, -52116, 0, 107364, 0, -1448, 0, 5064, 0, -63976, 0, -14996, 0, -16200, 0, 69288, 0, 35216, 0, -2844, 0, -1612, 0, -17520, 0, -49950, 0, -6752, 0, -63044, 0, -12654, 0, 46136, 0, -7540, 0, 19320, 0, -87908, 0, -38984, 0, 53712, 0, 59988, 0, 7176, 0, 2700, 0, -37284, 0, -50696, 0, -16488, 0, 24608, 0, 34868, 0, 5484, 0, -40920, 0, -74900, 0, -7560, 0, -12216, 0, -8652, 0, -7956, 0, 29360, 0, -13448, 0, -55332, 0, 126744, 0, 14336, 0, -22104, 0, -1416, 0, 54824, 0, -42516, 0, 91860, 0, -98636, 0, -96, 0, 1820, 0, 50376, 0, 7344, 0, 28516, 0, -2920, 0, 7884, 0, -69320, 0, -68312, 0, 67824, 0, 8460, 0, 47968, 0, 7344, 0, -29740, 0, -676, 0, -11232, 0, -41080, 0, -72984, 0, -19668, 0, -55980, 0, -792, 0, 21888, 0, 8744, 0, -107660, 0, -27252, 0, 18584, 0, -13368, 0, -6396, 0, 32904, 0, -91828, 0, -972, 0, -67764, 0, 85776, 0, -27192, 0, 55472, 0, 51510, 0, -28812, 0, -59308, 0, -26000, 0, 22140, 0, -9776, 0, 45580, 0, 8424, 0, -138600, 0, 58216, 0, 17448, 0, 5664, 0, 5908, 0, 648, 0, -19536, 0, -39392, 0, -72432, 0, 99260, 0, -2444, 0, 21180, 0, -2080, 0, 37336, 0, 1620, 0, -10816, 0, -169680, 0, -19260, 0, 113028, 0, -13148, 0, -504, 0, -47968, 0, 25048, 0, 3276, 0, 51612, 0, 120064, 0, -25620, 0, -27104, 0, -31412, 0, 20892, 0, 60244, 0, -89328, 0, 8856, 0, 55180, 0, -25488, 0, -91248, 0, -33436, 0, -5392, 0, 67560, 0, -9540, 0, 14276, 0, 12474, 0, -86388, 0, -45520, 0, -64224, 0, -32760, 0, -20912, 0, -12720, 0, 43232, 0, 9880, 0, -8172, 0, 144384, 0, -3368, 0, -21780, 0, 18968, 0, 27032, 0, -42888, 0, 15952, 0, -38736, 0, -12276, 0, -49212, 0, 5400, 0, 3120, 0, 92700, 0, 121902, 0, -84732, 0, 47268, 0, 20784, 0, -2916, 0, -6512, 0, 74948, 0, -26172, 0, 54120, 0, 187496, 0, 11772, 0, 13520, 0, 29088, 0, 3168, 0, -43888, 0, -158996, 0, -68016, 0, 31920, 0, -15296, 0, 38736, 0, 23404, 0, -142536, 0, 31572, 0, -12272, 0, 17212, 0, 36480, 0, -40212, 0, -60188, 0, 24468, 0, -144288, 0, 16500, 0, -19116, 0, -16924, 0, 24928, 0, -47052, 0, 95384, 0, -81312, 0, -26052, 0, -8372, 0, -142856, 0, 23184, 0, 154060, 0, 46260, 0, -29544, 0, -4440, 0, 11512, 0, 34356, 0, 33472, 0, 18768, 0, 9684, 0, 11804, 0, 33060, 0, -30096, 0, 23844, 0, -16336, 0, -33912, 0, -13140, 0, -105416, 0, 2376, 0, -62324, 0, -57964, 0, -9960, 0, -133836, 0, -11024, 0, -13428, 0, 70296, 0, -192864, 0, 2196, 0, -256, 0, 8664, 0, -32664, 0, 31200, 0, 100440, 0, 8088, 0, -38632, 0, -37596, 0, 3042, 0, -75660, 0, -119484, 0, 17988, 0, 22320, 0, 91072, 0, -53016, 0, 45856, 0, 16920, 0, 3564, 0, -166704, 0, -72016, 0, 4800, 0, -23400, 0, 50092, 0, 11160, 0, 40860, 0, 29936, 0, 27540, 0, -142584, 0, -75152, 0, -1332, 0, 37080, 0, 138620, 0, -59016, 0, -82820, 0, -18278, 0, 1332, 0, 192152, 0, 55804, 0, 6984, 0, 131176, 0, -7712, 0, -20406, 0, 15272, 0, -88064, 0, 4860, 0, -7824, 0, -19204, 0, 3900, 0, -19620, 0, 22728, 0, 10464, 0, -81916, 0, -8612, 0, 29592, 0, -110004, 0, -16416, 0, 24588, 0, -8500, 0, 23036, 0, -94068, 0, -10920, 0, -62820, 0, 25092, 0, 16840, 0, 27632, 0, -12840, 0, 65468, 0, -71320, 0, -17640, 0, 55752, 0, -1440, 0, -28836, 0, 269208, 0, -31928, 0, 47016, 0, 2880, 0, 74532, 0, 41760, 0, 17336, 0, 200984, 0, 12456, 0, 11304, 0, 149340, 0, -107052, 0, 29688, 0, 64116, 0, 10608, 0, 200528, 0, 152302, 0, -38232, 0, 19896, 0, -41144, 0, 120744, 0, -135520, 0, 41876, 0, 17304, 0, 5948, 0, 56600, 0, 972, 0, 10608, 0, -7168, 0, -26652, 0, -21900, 0, 6984, 0, -240, 0, 43616, 0, 109944, 0, 14112, 0, 33756, 0, -226524, 0, 12984, 0, -14824, 0, 31616, 0, -12732, 0, -78540, 0, -12816, 0, -11484, 0, -19080, 0, 172652, 0, -50856, 0, 19944, 0, -177268, 0, -71208, 0, -94800, 0, 10068, 0, -1404, 0, 80672, 0, -80696, 0, -109692, 0, -138128, 0, 39040, 0, -8304, 0, 90504, 0, 27424, 0, -50076, 0, 44260, 0, -25156, 0, 122268, 0, 31980, 0, 120820, 0, 10656, 0, -93612, 0, 22380, 0, 36936, 0, 48040, 0, 7368, 0, 82920, 0, -29368, 0, -116780, 0, 8028, 0, -3660, 0, 936, 0, 11340, 0, 66096, 0, -153732, 0, 20532, 0, -185856, 0, -163488, 0, 90624, 0, 147936, 0, 22444, 0, -19224, 0, -13704, 0, -49684, 0, 2340, 0, -61920, 0, -134248, 0, -16740, 0, 28624, 0, -361976, 0, -25344, 0, 116304, 0, -41286, 0, 71004, 0, 18600, 0, -9888, 0, 39108, 0, 4732, 0, 156220, 0, 648, 0, -21704, 0, 45412, 0, 36480, 0, -49584, 0, -115220, 0, -60438, 0, -72076, 0, 179868, 0, 50904, 0, 42152, 0, 12792, 0, 32328, 0, 29028, 0, 86808, 0, -19476, 0, 69168, 0, 2624, 0, 26856, 0, 208500, 0, 120888, 0, 9984, 0, -113640, 0, 199952, 0, 18018, 0, 84284, 0, 43512, 0, 11772, 0, -142264, 0, -213528, 0, 38892, 0, -43864, 0, -49320, 0, 129324, 0, 47644, 0, 21652, 0, 7632, 0, -11804, 0, -149352, 0, -1296, 0, 67176, 0, -3192, 0, 26568, 0, -92436, 0, -76832, 0, -3600, 0, -27168, 0, 125920, 0, -40788, 0, 231864, 0, -17732, 0, 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