Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 4000, 'analytic_conductor': 14.750477501435153, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 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': [250, 1, [127], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [19, -11, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694479610, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 36282, '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': True, 'label': '250.4.a.b', 'level': 250, '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], 'level_radical': 10, 'minimal_twist': '250.4.a.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+(4+3\\beta )q^{3}+4q^{4}+(-8-6\\beta )q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '250.4.a', 'trace_display': [-4, 11, 0, 3], 'trace_hash': 660149221905096777, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.013', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.276', 'prec': 10}, {'__RealLiteral__': 0, 'data': '10.334', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.098', 'prec': 14}, {'__RealLiteral__': 0, 'data': '74.593', 'prec': 17}], 'trace_zratio': 0, 'traces': [2, -4, 11, 8, 0, -22, 3, -16, 29, 0, 14, 44, 66, -6, 0, 32, 138, -58, 30, 0, -66, -28, 371, -88, 0, -132, 110, 12, -205, 0, -226, -64, -58, -276, 0, 116, 388, -60, 258, 0, 509, 132, 261, 56, 0, -742, -87, 176, -379, 0, 1104, 264, 1016, -220, 0, -24, 900, 410, 890, 0, -131, 452, -864, 128, 0, 116, -852, 552, 2138, 0, -206, -232, -414, -776, 0, 120, 516, -516, 820, 0, 902, -1018, -1499, -264, 0, -522, -2395, -112, -155, 0, 484, 1484, -1438, 174, 0, -352, -842, 758, -1282, 0, -1541, -2208, -624, -528, 0, -2032, -497, 440, -2495, 0, 1954, 48, -314, -1800, 0, -820, -198, -1780, -1058, 0, -1754, 262, 1757, -904, 0, 1728, 1153, -256, 453, 0, 644, -232, -2650, 1704, 0, -1104, 1198, -4276, -420, 0, -861, 412, 1092, 464, 0, 828, -2332, 1552, 435, 0, -3496, -240, 5796, -1032, 0, 1032, -3922, -1640, 4808, 0, 199, -1804, -4309, 2036, 0, 2998, 283, 528, -1726, 0, 8520, 1044, 4546, 4790, 0, 224, 6410, 310, 5350, 0, 1069, -968, -1448, -2968, 0, 2876, -1104, -348, -3795, 0, -4486, 704, 796, 1684, 0, -1516, 1298, 2564, 3750, 0, -5796, 3082, 4340, 4416, 0, 1248, 6452, 1056, -4200, 0, -696, 4064, -7748, 994, 0, -880, 376, 4990, -4782, 0, 2944, -3908, 4861, -96, 0, 628, 3743, 3600, -5655, 0, 2058, 1640, -174, 396, 0, 3560, 1270, 2116, -3380, 0, -6551, 3508, 2486, -524, 0, -3514, -2440, 1808, -6332, 0, 24, -3456, 2012, -2306, 0, 512, -2192, -906, 1242, 0, -16915, -1288, 4701, 464, 0, 5300, 6310, -3408, -9400, 0, 1704, 2208, -218, -2396, 0, 8552, -10642, 840, -5422, 0, -1391, 1722, -3984, -824, 0, -2184, 4586, -928, 4986, 0, -2006, -1656, -9954, 4664, 0, -3104, -5710, -870, 11788, 0, 3994, 6992, -11768, 480, 0, -11592, 1213, 2064, 5568, 0, 10494, -2064, 1596, 7844, 0, 3280, 2208, -9616, 6170, 0, -1181, -398, 13340, 3608, 0, 8618, -10505, -4072, 1272, 0, 7884, -5996, 3646, -566, 0, -1056, -3932, 3452, 9658, 0, -412, -17040, -690, -2088, 0, -9092, 8613, -9580, 2505, 0, -1410, -448, 5406, -12820, 0, -620, -10994, -10700, -3590, 0, 10742, -2138, -11537, 1936, 0, 2896, 193, 5936, -4087, 0, 4384, -5752, -20124, 2208, 0, 696, -850, 7590, 6060, 0, -5981, 8972, 2271, -1408, 0, -1592, -7023, -3368, 4445, 0, 27094, 3032, 9662, -2596, 0, -5128, -4202, -7500, -14710, 0, -17461, 11592, -6548, -6164, 0, -8680, 3796, -8832, -4705, 0, -10256, -2496, -4220, -12904, 0, -2112, -8670, 8400, 5680, 0, 2199, 1392, -5469, -8128, 0, 15496, 2471, -1988, 816, 0, 3844, 1760, 22016, -752, 0, -9980, 8750, 9564, 8310, 0, -8218, -5888, 15001, 7816, 0, -9722, 4680, 192, -9280, 0, 9818, -1256, -18478, -7486, 0, -7200, -9392, 11310, 24150, 0, 9599, -4116, 5431, -3280, 0, 348, 12733, -792, 2792, 0, -12016, -7120, 7722, -2540, 0, -4232, 6152, 6760, -4960, 0, 13644, 13102, -14063, -7016, 0, -4972, -6077, 1048, -23812, 0, -18126, 7028, -33580, 4880, 0, -3616, 23946, 12664, 17790, 0, 6409, -48, -6219, 6912, 0, -4024, -16423, 4612, -17280, 0, 8564, -1024, 36930, 4384, 0, 1812, 1686, -2484, 16528, 0, 26419, 33830, -22239, 2576, 0, -9402, -18584, -928, 44909, 0, 29570, -10600, 21662, -12620, 0, 6816, 41230, 18800, -1168, 0, -20311, -3408, 22447, -4416, 0, 436, -1167, 4792, -9902, 0, -44480, -17104, 13110, 21284, 0, -1680, 29598, 10844, 13198, 0, -12972, 2782, 44496, -3444, 0, 7968, -462, 1648, -15525, 0, 23484, 4368, -12088, -9172, 0, 1856, 19948, -9972, -17522, 0, -9261, 4012, 11792, 3312, 0, 19908, -19032, -9328, -9760, 0, 404, 6208, -6444, 11420, 0, 1740, -3480, -23576, -14500, 0, -1031, -7988, -24564, -13984, 0, 23536, 43788, -960, 30425, 0, -1086, 23184, 6736, -2426, 0, -4128, -14382, -11136, -11490, 0, 25085, -20988, -26495, 4128, 0, -3192, -19980, -15688, 24012, 0, -30186, -6560, 9222, -4416, 0, 19232, -11352, -12340, -75752, 0, -12871, 2362, 22521, 796, 0, -26680, -8792, -7216, -2860, 0, 11098, -17236, -364, 21010, 0, 8144, -33558, -2544, -41370, 0, 9559, -15768, 20332, 11992, 0, -7292, -43520, 1132, 17563, 0, 3448, 2112, -20974, 7864, 0, -6904, 10708, -19316, -10888, 0, 2744, 824, -13449, 34080, 0, 1380, -24900, 4176, 37168, 0, 25024, 18184, -1098, -17226, 0, 19160, 19136, -5010, 33348, 0, -24396, 2820, -60, 896, 0, -10812, 9761, 25640, -4895, 0, -23750, 1240, -42768, 21988, 0, 21400, -24530, 7180, 1700, 0, -33936, -21484, -9218, 4276, 0, 23074, -6617, -3872, -26971, 0, 2944, -5792, 10786, -386, 0, -11872, 696, 8174, 35480, 0, 9260, -8768, -32744, 11504, 0, 40248, -698, -4416, -6438, 0, -59036, -1392, 5532, 1700, 0, -15180, 56698, -12120, -13294, 0, -301, 11962, -15540, -17944, 0, -4542, 22300, 2816, -31595, 0, -40136, 3184, -12244, 14046, 0, 6736, -9444, -8890, -26420, 0, 38248, -54188, -72115, -6064, 0, -19324, 14053, 5192, 38883, 0, -42216, 10256, -928, 8404, 0, 15000, -55742, 29420, -11868, 0, 76540, 34922, 12132, -23184, 0, 13096, -43570, 12328, -32815, 0, 12634, 17360, 17592, -7592, 0, 17664, -28180, 9410, -24662, 0, -65991, 20512, 57516, 4992, 0, 8440, -12632, 25808, 15405, 0, -73576, 4224, -29946, 17340, 0, -16800, -21790, -11360, -41760, 0, 43637, -4398, -27938, -2784, 0, 10938, 4299, 16256, -37572, 0, 71194, -30992, 18876, -4942, 0, 3976, -87262, -1632, 55060, 0, 2663, -7688, -11829, -3520, 0, -44032, 75033, 1504, 25180, 0, -22936, 19960, 16666, -17500, 0, -19128, 28028, -16620, -52122, 0, -9971, 16436, -4919, 11776, 0, -30002, 23813, -15632, 46912, 0, 3344, 19444, -13800, -9360, 0, -384, 48574, 18560, 34150, 0, 58144, -19636, 9727, 2512, 0, 36956, 67743, 14972, -58562, 0, 12734, 14400, -21968, 18784, 0, -22620, -21474, -48300, -33650, 0, 43084, -19198, 24072, 8232, 0, -10862, 89952, 6560, 26435, 0, -13770, -696, 76722, -25466, 0, 1584, -25952, -5584, 48708, 0, 54684, 24032, 89902, 14240, 0, -15444, 34413, 5080, -1972, 0, -8766, 8464, -20864, -12304, 0, -13520, 38900, 9920, 63562, 0, -32354, -27288, 9871, -26204, 0, 28126, -50717, 14032, 129260, 0, 15984, 9944, 22690, 12154, 0, -2096, -3682, 47624, -44060, 0, -785, 36252, 24156, -14056, 0, 67160, 10011, -9760, 44158, 0, 16564, 7232, 42102, -47892, 0, -25328, -33322, -35580, 12700, 0], 'weight': 4, 'weight_parity': 1}