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': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[5, [-3, 1]], [7, [-10, 1]], [17, [-42, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193732409474, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 144435, '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.r', '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': '22.4.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{2}+4q^{4}+3q^{5}+10q^{7}+8q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2178.4.a', 'trace_display': [2, 0, 3, 10], 'trace_hash': 1265337902473070502, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '0.952', 'prec': 10}, 0, {'__RealLiteral__': 0, 'data': '1.878', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '4.643', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 4}, 'traces': [1, 2, 0, 4, 3, 0, 10, 8, 0, 6, 0, 0, 16, 20, 0, 16, 42, 0, -116, 12, 0, 0, -189, 0, -116, 32, 0, 40, -120, 0, -163, 32, 0, 84, 30, 0, -409, -232, 0, 24, 468, 0, -110, 0, 0, -378, -144, 0, -243, -232, 0, 64, -90, 0, 0, 80, 0, -240, 453, 0, -20, -326, 0, 64, 48, 0, -97, 168, 0, 60, 465, 0, -848, -818, 0, -464, 0, 0, 742, 48, 0, 936, 438, 0, 126, -220, 0, 0, 273, 0, 160, -756, 0, -288, -348, 0, 761, -486, 0, -464, -1578, 0, 1208, 128, 0, -180, -1446, 0, 1342, 0, 0, 160, -1761, 0, -567, -480, 0, 906, 420, 0, 0, -40, 0, -652, -723, 0, -2132, 128, 0, 96, 1782, 0, -1160, -194, 0, 336, -921, 0, -1442, 120, 0, 930, 0, 0, -360, -1696, 0, -1636, -1806, 0, 1402, -928, 0, 0, -489, 0, -2947, 1484, 0, 96, -1890, 0, 332, 1872, 0, 876, 1920, 0, -1941, 252, 0, -440, 1986, 0, -1160, 0, 0, 546, -111, 0, 899, 320, 0, -1512, -1227, 0, 0, -576, 0, -696, 1509, 0, -20, 1522, 0, -972, 1254, 0, 4688, -928, 0, -3156, -1200, 0, 1404, 2416, 0, 256, 0, 0, -4868, -360, 0, -2892, -330, 0, -1630, 2684, 0, 0, 672, 0, -4663, 320, 0, -3522, -5862, 0, 5051, -1134, 0, -960, -720, 0, -432, 1812, 0, 840, -522, 0, 5632, 0, 0, -80, -729, 0, -1856, -1304, 0, -1446, 6345, 0, 0, -4264, 0, 256, -1494, 0, -4090, 192, 0, 3564, 1254, 0, -270, -2320, 0, -388, -5442, 0, -2432, 672, 0, -1842, 0, 0, 1666, -2884, 0, 240, -3258, 0, 7804, 1860, 0, 0, 4680, 0, -3149, -720, 0, -3392, 12, 0, 1359, -3272, 0, -3612, -3024, 0, -1100, 2804, 0, -1856, -60, 0, -5852, 0, 0, -978, -2652, 0, -7153, -5894, 0, 2968, -6129, 0, 0, 192, 0, -3780, -4872, 0, -1856, 664, 0, 3744, -1440, 0, -823, 1752, 0, 3840, -291, 0, -5270, -3882, 0, 504, 0, 0, -5860, -880, 0, 3972, 6576, 0, 6286, -2320, 0, 0, 10701, 0, 1395, 1092, 0, -222, 8328, 0, 6597, 1798, 0, 640, -2544, 0, -3643, -3024, 0, -2454, -900, 0, 7942, 0, 0, -1152, -1920, 0, -9331, -1392, 0, 3018, 7731, 0, 0, -40, 0, 3044, -1461, 0, -7938, -1944, 0, 2508, 2226, 0, -6466, 9376, 0, -1856, -2010, 0, -2608, -6312, 0, -2400, 0, 0, 12622, 2808, 0, 4832, 4530, 0, 1314, 512, 0, 0, -10980, 0, -538, -9736, 0, -720, -4872, 0, -200, -5784, 0, -660, 5022, 0, -2587, -3260, 0, 5368, 21924, 0, -704, 0, 0, 1344, -4203, 0, 819, -9326, 0, 640, 933, 0, 0, -7044, 0, -11724, 480, 0, -10316, 10102, 0, -2268, 132, 0, 7823, -1920, 0, -1440, -723, 0, -970, -864, 0, 3624, 0, 0, 13456, 1680, 0, -1044, -7416, 0, -6544, 11264, 0, 0, 2283, 0, -7171, -160, 0, -1458, -12264, 0, -5040, -3712, 0, -2608, 4650, 0, -11860, -2892, 0, 12690, 15450, 0, -4734, 0, 0, -8528, 17181, 0, -8480, 512, 0, -2988, 3624, 0, 0, -8180, 0, 384, 2763, 0, 772, 7128, 0, 2508, -6846, 0, 23554, -540, 0, -4640, 7488, 0, -4338, -776, 0, -10884, 0, 0, -19388, -4864, 0, 1344, 4026, 0, -1568, -3684, 0, 0, 13920, 0, 7420, 3332, 0, -5768, -4806, 0, -1760, 480, 0, -6516, 9972, 0, -5283, 15608, 0, 3720, -456, 0, -11132, 0, 0, 9360, 21924, 0, 11657, -6298, 0, -1440, 4380, 0, 0, -6784, 0, 24, 15204, 0, 18908, 2718, 0, -6544, -4884, 0, 1260, -7224, 0, -6048, -22008, 0, -19526, -2200, 0, 5608, 0, 0, -4934, -3712, 0, -120, -2304, 0, 20608, -11704, 0, 0, 7038, 0, 14609, -1956, 0, -5304, 2730, 0, 12331, -14306, 0, -11788, -17178, 0, 15365, 5936, 0, -12258, -6396, 0, -3888, 0, 0, 384, 6753, 0, 5123, -7560, 0, -9744, -18075, 0, 0, -3712, 0, 1328, -15387, 0, 5346, 7488, 0, -2880, 24222, 0, -12967, -1646, 0, 3504, -3480, 0, 22680, 7680, 0, -582, 0, 0, -17870, -10540, 0, -7764, 12978, 0, 7610, 1008, 0, 0, 28488, 0, -2763, -11720, 0, -1760, -1440, 0, 17855, 7944, 0, 13152, -4326, 0, 19656, 12572, 0, -4640, -31674, 0, 47444, 0, 0, 21402, -15780, 0, 371, 2790, 0, 2184, 30807, 0, 0, -444, 0, 16656, -27069, 0, 12080, 13194, 0, 3596, 13920, 0, -20095, 1280, 0, -5088, -4620, 0, 12220, -7286, 0, -6048, 0, 0, 32818, -4908, 0, -1800, 24396, 0, -5418, 15884, 0, 0, -14460, 0, -2485, -2304, 0, -3840, 4206, 0, -14254, -18662, 0, -2784, 17232, 0, 13420, 6036, 0, 15462, 7248, 0, -25520, 0, 0, -80, -14994, 0, 18908, 6088, 0, -2922, -54288, 0, 0, -15876, 0, -3888, -8841, 0, 35224, 5016, 0, 4452, -17610, 0, -320, -12932, 0, 18752, -18609, 0, -6048, -3712, 0, -4020, 0, 0, -5670, -5216, 0, -12624, 16476, 0, 2722, -4800, 0, 0, 996, 0, 12760, 25244, 0, 5616, -18402, 0, -39763, 9664, 0, 9060, -1248, 0, -8659, 2628, 0, 1024, -10206, 0, 5760, 0, 0, -21960, 41271, 0, -9989, -1076, 0, -19472, -5823, 0, 0, -1440, 0, -9744, 77301, 0, -2198, -400, 0, -11568, 27192, 0, 27095, -1320, 0, 10044, 16008, 0, 5958, -5174, 0, -6520, 0, 0, -1552, 10736, 0, 43848, -7230, 0, -22424, -1408, 0, 0, 11427, 0, 30020, 2688, 0, -8406, 11958, 0, -21320, 1638, 0, -18652, 16704, 0, -333, 1280, 0, 1866, 19560, 0, -3780, 0, 0, -14088, 2697, 0, -13060, -23448, 0, 960, -10188, 0, 0, -20632, 0, 20204, 17820, 0, 43738, -4536, 0, 264, 7440, 0, 47444, 15646, 0, -3840, 16470, 0, 28188, -2880, 0, -1446, 0, 0, -23876, -1940, 0, -1728, 22218, 0, -88452, 7248, 0, 0, 9909, 0, -13568, 26912, 0, 3360, -45858, 0, 4527, -2088, 0, -14832, -9210, 0, -3222, -13088, 0, 22528, -60, 0, 33352, 0, 0, 4566, -37665, 0, -14420, -14342, 0, -320, 35715, 0, 0, -2916, 0, -24528, -5949, 0, 3762, -10080, 0, -7424, 20790, 0, -23560, -5216, 0, 9300, 14064, 0, -26786, -23720, 0, -5784, 0, 0, 19026, 25380, 0, 30900, 10440, 0, 5362, -9468, 0, 0, -22035, 0, -3600, -17056, 0, 34362, -16950, 0, -61378, -16960, 0, 1024, -54288, 0, 11872, -5976, 0, 7248, 21324, 0, -9020, 0, 0, -16360, -840, 0, 53039, 768, 0, 5526, -18060, 0, 0, 1544, 0, 14256, 26655, 0, -9986, 5016, 0, -13692, -14604, 0, 14020, 47108, 0, -1080, 14985, 0, -43220, -9280, 0, 14976, 0, 0, 55588, -8676, 0, -1552, 49080, 0, 12760, -21768, 0, 0, 7008, 0, 27216, -38776, 0, -9728, -4890, 0, 4424, 2688, 0, 8052, -27846, 0, 41897, -3136, 0, -7368, -35106, 0, -29470, 0, 0, 27840, -14631, 0, 2016, 14840, 0, 6664, -48930, 0, 0, -11536, 0, -9612, -13989, 0, 29284, -3520, 0, 960, -52548, 0, -34384, -13032, 0, 19944, 45927, 0, 19546, -10566, 0, 31216, 0, 0, -17586, 7440, 0, -912, -4074, 0, 3320, -22264, 0, 0, 15153, 0, 66667, 18720, 0, 43848, 60534, 0, -8743, 23314, 0, -12596, 4368, 0, 2320, -2880, 0, 8760, -17814, 0, -2160, 0, 0, -13568, 19200, 0, 11723, 48, 0, 30408, 16704, 0, 0, 37816, 0, 5436, -47430, 0, -19410, -13088, 0, -9768, 40656, 0, -56160, 2520, 0, -14448, -36363, 0, -1566, -12096, 0, -44016, 0, 0, -45326, -39052, 0, -4400, 16896, 0, 19530, 11216, 0, 0, 19860, 0, 53483, -9868, 0, -7424, 81918, 0, 17010, -240, 0, -4608, 64158, 0, 28188, 41216, 0, -23408, -21576, 0, -19250, 0, 0, 14076, -5568, 0, 2186, 29218, 0, -3912, -35616, 0, 0, -10608, 0, 5460, 13200, 0, 23344, 24662, 0, -28612, -1110, 0, 19035, -23576, 0, -34356, -24681, 0, 12176, 30730, 0, 11872, 0, 0, 8990, -24516, 0, -12792, -76284, 0, 11252, -7776, 0, 0, -24213, 0, -68221, 768, 0, 13506, -81300, 0, -4482, 10246, 0, -15120, 3240, 0, -21232, -19488, 0, -36150, -12270, 0, -3344, 0, 0, -7424, 13617, 0, -46555, 2656, 0, -30774, -17052, 0, 0, 10692, 0, 14976, -25248, 0, 3762, -5760, 0, 48444, -10494, 0, -34153, -25934, 0, -3292, 10440, 0, -32792, 7008, 0, -6960, 0, 0, 17930, 45360, 0, 15360, 15090, 0, 19328, -1164, 0, 0, 31164, 0, -16326, -35740, 0, -21080, -53940, 0, -200, -15528, 0, 25956, -7296, 0, -85617, 15220, 0, 2016, 71220, 0, 17280, 0, 0, 56976, 55296, 0, 116628, -5526, 0, -23440, 53733, 0, 0, -3520, 0, -2880, 12540, 0, 41296, 35710, 0, 15888, 4998, 0, 98368, 26304, 0, -8652, -23136, 0, 46880, 39312, 0, 25144, 0, 0, -2360, -9280, 0, -63348, 3780, 0, -9774, 94888, 0, 0, -85329, 0, 18396, 42804, 0, -31560, 23412, 0, 21472, 742, 0, 5580, 29160, 0, 89087, 4368, 0, 61614, -59328, 0, 35926, 0, 0, -888, 77274, 0, 14040, 33312, 0, -54138, 67560, 0, 0, 24160, 0, 26388, -9447, 0, -55856, 7192, 0, 27840, 64416, 0, -19699, -40190, 0, 2560, 23472, 0, 85216, -10176, 0, -9240, 0, 0, 36, 24440, 0, -14572, -28176, 0, -27770, -12096, 0, 0, -52548, 0, -48680, 65636, 0, -9816, 5160, 0, -89065, -3600, 0, 48792, 83694, 0, -14599, -10836, 0, 31768, 41784, 0, -9072, 0, 0, -28920, -9153, 0, -86072, -4970, 0, -4608, -3300, 0, 0, -7680, 0, 8412, 54177, 0, 11466, -28508, 0, -37324, -191412, 0, 39609, -5568, 0, 34464, 9903, 0, 2320, 26840, 0, 12072, 0, 0, -57008, 30924, 0, 14496, -17556, 0, 10800, -51040, 0, 0, 18333, 0, -71620, -160, 0, -29988, 6720, 0, 104645, 37816, 0, 12176, -96024, 0, -7956, -5844, 0, -108576, 55380, 0, -46630, 0, 0, -31752, -21459, 0, 67196, -7776, 0, -17682, -5964, 0, 0, 70448, 0, 10032, -50808, 0, -98030, 8904, 0, -35220, -2706, 0, -18387, -640, 0, -25864, -58620, 0, 44990, 37504, 0, -37218, 0, 0, -4736, -12096, 0, -7424, -68730, 0, 50510, -8040, 0, 0, -17019, 0, -29842, -11340, 0, -10432, 63702, 0, -14616, -25248, 0, 32952, 49836, 0, -99970, 5444, 0, -9600, -11568, 0, -80894, 0, 0, 1992, -7200, 0, -87885, 25520, 0, 50488, 39939, 0, 0, 11232, 0, -36804, 14670, 0, -4320, -79526, 0, 19328, 31962, 0, -34112, 18120, 0, -2496, -2469, 0, -16226, -17318, 0, 5256, 0, 0, 87532, 2048, 0, -20412, -121068, 0, 40210, 11520, 0, 0, -5220, 0, 11252, -43920, 0, 82542, 160272, 0, 150103, -19978, 0, -2152, -15810, 0, 56320, -38944, 0, -11646, -31668, 0, 24178, 0, 0, -2880, -110958, 0, -112720, -19488, 0, 154602, 28512, 0, 0, -4396, 0, -800, -103167, 0, -54360, -23136, 0, 54384, -17580, 0, -66276, 54190, 0, -2640, -72069, 0, 15850, 20088, 0, 32016, 0, 0, -18560, 11916, 0, -10348, 79770, 0, 19728, -13040, 0, 0, 58896, 0, 3917, -3104, 0, 21472, 18858, 0, 61745, 87696, 0, -14460, 50736, 0, -25654, -44848, 0, -2816, 63450, 0, 44044, 0, 0, 22854, -51480, 0, 32103, 60040, 0, 5376, 2400, 0, 0, -16812, 0, 23916, -53940, 0, -27212, -42640, 0, 3276, -14736, 0, -10591, -37304, 0, 33408, 42111, 0, -98858, -666, 0, 2560, 0, 0, 24984, 3732, 0, 39120, -14940, 0, -19256, -7560, 0, 0, 19791, 0, -23072, -28176, 0, 5394, 91752, 0, 99387, -26120, 0, -46896, -140238, 0, -60732, 1920, 0, -20376, -140772, 0, 98368, 0, 0, -41264, -73839, 0, -52033, 40408, 0, 35640, -10929, 0, 0, 87476, 0, -9072, 12540, 0, -88276, 528, 0, 14880, 35640, 0, -67407, 94888, 0, 31292, 56364, 0, -2700, -7680, 0, 32940, 0, 0, 65554, 56376, 0, -5760, 23826, 0, 48724, -2892, 0, 0, -88167, 0, 7514, -47752, 0, -3880, -107634, 0, -106225, -3456, 0, 44436, -54420, 0, -5760, -176904, 0, 14496, 14394, 0, 3260, 0, 0, 19818, -27993, 0, -24320, -27136, 0, 53824, -25665, 0, 0, 6720, 0, -91716, 41604, 0, -82782, 9054, 0, -4176, -93588, 0, 23193, -29664, 0, -18420, 183048, 0, -73962, -6444, 0, -26176, 0, 0, -67392, 45056, 0, -120, 1230, 0, -91658, 66704, 0, 0, -28896, 0, 16660, 9132, 0, -75330, 11640, 0, -4383, -28840, 0, -28684, -7716, 0, 19787, -640, 0, 71430, -23814, 0, -140128, 0, 0, -5832, 36810, 0, 22432, -49056, 0, -11898, -32580, 0, 0, 7524, 0, -20160, -154515, 0, -86072, -14848, 0, 41580, 23694, 0, 78040, -47120, 0, -10432, -19398, 0, -161294, 18600, 0, 28128, 0, 0, -31994, -53572, 0, -47440, -127404, 0, -26780, -11568, 0, 0, -162252, 0, -6030, 38052, 0, 50760, -113724, 0, 20693, 61800, 0, 20880, -7824, 0, -75385, 10724, 0, -18936, 15840, 0, -31490, 0, 0, -44070, 16191, 0, 45713, -7200, 0, -34112, 167736, 0, 0, 68724, 0, -33900, 177300, 0, 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