Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 4704, 'analytic_conductor': 17.34656154168774, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [294, 3, [197, 199], [3, 2]], 'cm_discs': [], 'conrey_index': 67, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64, 8, 1]], [11, [1600, 40, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518273081868582, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 40700, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '294.4.e.f', 'level': 294, '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, 7], 'level_radical': 42, 'minimal_twist': '294.4.a.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+2\\zeta_{6}q^{2}+(-3+3\\zeta_{6})q^{3}+(-4+4\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '294.4.e', 'trace_display': [2, -3, -8, 0], 'trace_hash': 2036671872401980991, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.008', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.255', 'prec': 10}, {'__RealLiteral__': 0, 'data': '12.393', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.187', 'prec': 14}, {'__RealLiteral__': 0, 'data': '116.479', 'prec': 20}], 'trace_zratio': 0, 'traces': [2, 2, -3, -4, -8, -12, 0, -16, -9, 16, -40, -12, 8, 0, 48, -16, 84, 18, -148, 64, 0, -160, -84, 24, 61, 8, 54, 0, 116, 48, 136, 32, -120, 336, 0, 72, 222, 296, -12, 64, 840, 0, -328, -160, -72, 168, -488, 96, 0, 244, 252, -16, -478, 54, 640, 0, 888, 116, -548, -96, -692, 544, 0, 128, -32, 240, 908, 336, 504, 0, -1048, 72, -440, -444, 183, 1184, 0, -48, -1216, -128, -81, 840, -1368, 0, -1344, -328, -174, 320, -604, -288, 0, 672, 408, 976, -1184, 96, -1664, 0, 720, 244, -464, -504, 632, -64, 0, -1912, 160, -108, 2198, 640, -1332, 0, 1540, 888, -672, -232, -36, -2192, 0, -384, -269, 1384, -1260, 544, -2976, 0, -368, 128, 492, 64, 1452, 960, 0, 3632, -216, -672, -646, 504, -6024, 0, 2928, -1048, -160, -144, -464, -1760, 0, -1776, 3170, -366, 1880, 1184, -1512, 0, -2176, -48, -604, 2432, -1434, -512, 0, -324, -1116, -1680, -960, -1368, -3568, 0, -4362, -1344, -1332, 656, 344, -696, 0, 1280, -1644, 1208, -1392, -288, 8104, 0, 4152, 672, 1776, -816, 3360, 3904, 0, -4736, 3108, -192, -50, -1664, 192, 0, -324, 720, -1544, -488, 2724, -1856, 0, -2016, -3360, -1264, -756, -64, 11840, 0, -2408, -1912, 1572, -320, 1312, -432, 0, 8792, -1320, -1280, 336, -1332, 4000, 0, -1098, 1540, -388, -1776, -4180, -2688, 0, -928, 1322, 72, -3904, -2192, 7296, 0, 4824, -384, 4336, 538, -243, 5536, 0, -5040, -592, -1088, 2052, -2976, 1528, 0, 6720, -368, 2016, -256, -4300, 1968, 0, 256, -522, -2904, 3860, 960, 7648, 0, 3624, 3632, 2800, 432, 4880, -2688, 0, -2584, 2440, -1008, 6674, -6024, -2448, 0, -18804, 2928, 9100, 2096, -3552, -640, 0, -576, -2143, 928, 2496, -1760, 11904, 0, 8768, -1776, -1080, -6340, -336, -1464, 0, 7520, -1392, -2368, -5536, -1512, -6008, 0, -3792, -2176, -688, 96, -5592, -2416, 0, 9728, 2922, 2868, -2320, -512, -960, 0, -24864, -324, 244, 2232, 6594, -6720, 0, -3840, 7492, 2736, 1998, -3568, -14528, 0, 21532, -4362, -2310, 2688, 5440, -5328, 0, 2624, -2016, -688, 3984, -696, -360, 0, 216, 1280, 10428, 3288, 4192, 4832, 0, -5568, -8684, 576, -15045, 8104, 1614, 0, 7040, 4152, -5648, -1344, -3780, 7104, 0, -3264, 2546, -6720, 4464, 3904, 464, 0, 16536, -4736, 552, -6216, 10872, -768, 0, -200, 1476, 3328, -10434, 192, -14112, 0, -8712, -324, -9728, -1440, 3044, -6176, 0, -1952, -8910, -5448, 544, -1856, 1296, 0, -17760, -2016, -5616, 6720, -1938, -5056, 0, -3024, 5472, 128, 9036, 11840, -17864, 0, -11076, -2408, -4392, 3824, -5124, 6288, 0, -1280, -480, -2624, 6700, -432, -10096, 0, 2784, 8792, -12432, 2640, 1344, -5120, 0, 1344, 4392, 2664, -4832, 4000, -19020, 0, 7332, -1098, -16800, -3080, 5640, -1552, 0, -7104, -26, 8360, 2268, -2688, 15312, 0, 25216, -928, 3264, -2644, 3068, 288, 0, -15616, -1812, 4384, 6560, 7296, -18056, 0, 8604, 4824, -6456, 768, 888, 17344, 0, 2152, 6656, 486, -11896, 5536, 6696, 0, -528, -5040, 4872, 1184, -2880, -4352, 0, 8208, 2628, 5952, 5352, 1528, -27136, 0, 7424, 6720, 6543, 736, -20656, 8064, 0, -1024, -3996, 8600, 5056, 1968, 39040, 0, -2064, 256, -3628, 1044, -4852, -11616, 0, 15440, -11424, -1920, 5111, 7648, 9864, 0, 3360, 3624, 1280, -7264, -4176, 11200, 0, 1728, 7130, -9760, -12156, -2688, -35168, 0, -25576, -2584, -6228, -4880, -8584, -4032, 0, 26696, 5328, 12048, -2406, -2448, -1312, 0, -20160, -18804, 25412, -5856, -6160, 36400, 0, 8384, 9690, 7104, -5604, -640, -18648, 0, -10248, -576, 21568, 4286, -150, 3712, 0, 9984, -19120, 3520, -288, 11904, 40600, 0, -40256, 8768, 486, 3552, -13812, -4320, 0, -25360, -4632, 672, 21996, -1464, 16736, 0, -16344, 7520, -2152, 2784, -21504, -9472, 0, -22144, -1952, 3024, 10270, -6008, 20160, 0, 56716, -3792, -16292, 4352, -2268, -2752, 0, 384, 4279, 11184, -17760, -2416, 37296, 0, 22512, 9728, 3612, -5844, 1472, 11472, 0, -9280, 4716, 1024, -15518, -960, -20904, 0, -7872, -24864, -72, 648, -21920, 976, 0, 8928, -11962, -13188, 11616, -6720, 7920, 0, -12032, -3840, -26068, -14984, 1008, 10944, 0, 7992, -4872, 7136, -6000, -14528, 55360, 0, -41060, 21532, 1647, 8724, 10056, -9240, 0, 10752, -1164, -10880, -6152, -5328, 10336, 0, 25080, 2624, -1912, 4032, 14716, -2752, 0, 15936, 24096, 1392, 35280, -360, -7932, 0, 56404, 216, 32856, -2560, -11712, 41712, 0, 13152, -22114, -8384, -10944, 4832, -22848, 0, 2560, -5568, -7236, 17368, 9288, 2304, 0, -60180, 13008, -16208, 3538, 1614, 47696, 0, 1458, 7040, -13776, -8304, 34756, -22592, 0, -5376, 36320, 7560, -26044, 7104, 3552, 0, 72408, -3264, 25360, -5092, 6156, -26880, 0, 17856, 11424, -7808, -2292, 464, -30080, 0, -33244, 16536, -10080, 9472, 38524, 2208, 0, -24864, 6048, -21744, -2192, -768, -36880, 0, 25800, -200, 13968, -2952, -8296, 13312, 0, -41736, -62160, -384, 20960, -14112, 3132, 0, 9664, -8712, -10916, 648, 11580, -38912, 0, -5760, -2768, -6088, -11472, -6176, 24720, 0, -81984, -1952, -5436, 17820, -17600, -21792, 0, 2176, 8400, 3712, -3402, 1296, 584, 0, -29280, -17760, -8928, 4032, 24272, -22464, 0, 26880, -6910, 3876, -568, -5056, -14640, 0, -24288, -3024, -14828, -10944, 20022, 512, 0, 36144, 14272, -23680, 3672, -17864, -45648, 0, -42050, -11076, 28206, 4816, 17448, -17568, 0, 15296, 27300, 10248, 18648, 6288, -83560, 0, 21312, -1280, 21420, 960, 18132, -10496, 0, 26800, -24036, 864, 2752, -10096, 12858, 0, 97280, 2784, 3632, -17584, 7488, -49728, 0, 10560, 4374, -2688, -17856, -5120, -92696, 0, -41320, 1344, -13152, -8784, 1800, 10656, 0, -19328, -3240, -8000, -72224, -19020, 22272, 0, 2016, 7332, 7888, 2196, 40152, -67200, 0, -12320, -32416, -11280, 41996, -1552, 8352, 0, -82616, -7104, 27360, 52, -16608, 33440, 0, 9072, -3936, 5376, 9012, 15312, -4192, 0, 27084, 25216, 5688, 1856, 7212, 13056, 0, -10576, -2064, -6136, 26880, 288, -77952, 0, 33552, -15616, -53544, 3624, -35280, 17536, 0, 26240, 21392, -14592, -1760, -18056, -17532, 0, 42324, 8604, 24864, -9648, -6960, -25824, 0, 3072, 11295, -1776, 1440, 17344, 800, 0, 16448, 2152, 37296, -13312, 8140, 1944, 0, -47584, 732, -11072, -32158, 6696, 48320, 0, -39564, -528, 41416, 10080, 1296, 19488, 0, 4736, 13776, 5760, -12296, -4352, -44952, 0, 24704, 8208, -57652, -5256, 5994, 23808], 'weight': 4, 'weight_parity': 1}