Query:
/api/mf_newforms/?_offset=0
{'Nk2': 504, 'analytic_conductor': 2.2453734773817287, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [14, 3, [3], [1]], 'cm_discs': [], 'conrey_index': 9, 'dim': 4, 'field_disc': 898704, 'field_disc_factorization': [[2, 4], [3, 2], [79, 2]], 'field_poly': [6241, 0, 79, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [71289, -3738, 463, 14, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137539616782, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'id': 3251, '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': '14.6.c.a', 'level': 14, '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': True, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '14.6.c.a', 'nf_label': '4.0.898704.3', 'prim_orbit_index': 3, 'qexp_display': 'q+4\\beta _{2}q^{2}+(-7-\\beta _{1}-7\\beta _{2})q^{3}+(-2^{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '14.6.c', 'trace_display': [-8, -14, -70, 0], 'trace_hash': 40293881723731585, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.784', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '52.467', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1295.056', 'prec': 27}], 'trace_zratio': 0, 'traces': [4, -8, -14, -32, -70, 112, 0, 256, -244, -280, -62, -224, 3640, 504, -4076, -512, -1694, -976, -826, 2240, 3542, 496, 2734, -896, -6312, -7280, 14308, -2016, -5704, 8152, 2674, -2048, -4858, 13552, -13286, 7808, 9146, -3304, -21588, -4480, 12264, -35392, -32080, -992, 26852, 10936, 25326, 7168, 56644, 50496, -25762, -29120, -14958, -28616, -31052, 0, -37732, 11408, 1106, 32608, 28042, -21392, 77308, 16384, -28308, -19432, 102642, -27104, -188692, -88424, -22112, -15616, -35070, 36584, 132776, 26432, 27062, 172704, -101762, -17920, 23750, -24528, -89264, 84896, 7348, 64160, 170380, -3968, 75474, -214816, -123872, -87488, 53478, 101304, -127502, -14336, -16632, -113288, 139000, -100992, 42098, -103048, -61810, 232960, -61936, 119664, 146262, -114464, 65010, 62104, 31220, 32256, -361528, 75464, -205142, 45632, -345912, -8848, -9394, -260864, 289212, 112168, -69468, 42784, 1420020, 186256, 530944, -32768, -312424, -113232, -419818, 155456, -120498, -821136, -308534, -108416, -523774, 377384, -306768, 566272, -244596, 44224, -118356, -62464, -501844, 280560, 359170, -292672, 10266, 531104, 446034, -52864, 802648, -247744, 90900, -345408, -291886, -407048, 558894, 143360, -698698, -190000, 219734, -98112, 32210, 178528, -911680, 226688, 2074972, -14696, 244300, 256640, 27146, -1363040, -1636376, 31744, 201766, 301896, 1008162, 429632, -498344, 706384, -450732, 174976, 638638, 213912, -149842, -810432, 203504, 1020016, 55374, -57344, -91006, 33264, -3585288, -453152, -1125032, -278000, -178990, -403968, 422086, -336784, 2105824, 824384, -108444, -247240, 1386460, -465920, -293860, -389704, 2248016, -239328, 590576, 585048, 2260216, 915712, -74858, -520080, -1241522, 248416, -1736196, -62440, -286720, -129024, -3414752, 723056, 63714, 301856, -1867110, 1641136, 659974, -365056, -1201742, -1383648, 1106346, 17696, 5556684, -778624, 895392, 521728, -2262526, 1156848, 1895824, -897344, 1238426, 555744, -406588, 171136, -2465848, -2840040, -2922864, -1981952, -1222420, -1061888, 1628858, -131072, -535710, 2499392, -18774, 905856, 2453768, -1679272, -1997694, -310912, 6355860, -898296, -5167164, 1642272, 2065490, -1234136, -3070466, 867328, 3099348, 4190192, 1043048, 1509536, -940078, 613536, -1625736, -850304, -540056, 489192, -330750, 176896, 1014230, 946848, -371616, 499712, 1099008, -2007376, -623084, -561120, -2545704, 1586032, 1474772, 585344, -120022, 41064, 3540852, -4248832, -5945856, -3568272, -1409186, -211456, 865182, -1605296, 4500048, 557984, -5023636, -181800, 3579842, -1381632, -890190, 2335088, 1700524, 3256384, 2100522, 2235576, 1141324, -286720, 1376508, -1416856, 314732, 380000, -3266480, 878936, -571298, 784896, -1210650, -257680, -2370490, 714112, 964, 1823360, -9556204, -2265088, 8376712, -4149944, -4158476, -58784, 326214, -1954400, 0, -2053120, -2259490, 108584, 3635346, 2726080, 4547256, 9909760, 12613272, -63488, 1417794, 807064, -1665776, -2415168, 6051430, -8065296, -2980162, 1718528, 3649788, 996688, -3500392, -843584, -5513356, 901464, -3764446, 699904, -1119720, -5109104, -5587554, -1711296, 556602, -599368, 1301898, 1620864, -9402288, 1395800, 932688, -2040032, 601440, 221496, 6668494, 458752, -1070608, 728048, -3988976, 133056, 2940722, 7170576, -7940548, 3625216, 643228, 2250064, 4702362, -1112000, -6369398, 1431920, -1238720, 3231744, 6511362, 1688344, 2919980, 673568, -1733284, -4930352, 547796, -1648768, -3093118, -433776, -6276578, 1977920, -1288490, -11091680, 12675208, -1863680, -3721928, 587720, 14984592, 2549792, 12630808, -4496032, 2319996, -957312, -1453144, -4724608, -1970150, -4680384, -5128620, 9040864, -4817742, -1831424, -2928184, 1946560, 3706552, 1040160, -1803970, -4966088, -3145058, -1987328, -11259220, 13889568, 369142, -249760, -5579466, 573440, 20348244, 0, 11301704, 6829504, -375900, 2892224, 3781414, -509712, -12152196, -2414848, -8119086, -7468440, -5739646, -3282272, -208264, 191464, -30013248, 730112, -2481486, -4806968, -5871754, 11069184, 8541302, -8850768, 10754798, 70784, -2475688, -11113368, 19016592, 3264800, -14931048, -1790784, -1691102, 2086912, 7208012, 18100208, 19465600, -9254784, 3016244, 7583296, 4622402, 1794688, 9319772, -12883864, 2640912, -1111488, 5724796, -1626352, 823564, -1369088, 7184576, 19726784, -9962634, -11360160, 10826704, 5845728, -8887200, 4947712, -16577836, 2444840, -23365762, -4247552, -4329654, -13030864, 4762814, 1048576, -3521506, -2142840, -13941302, -4998784, -800436, 4534488, -5003756, -1811712, 15796578, 9815072, 3042326, 13434176, -3073784, 15981552, 3029598, -1243648, 185556, -12711720, -5702536, 5521152, 11903472, 10334328, 11967522, 6569088, 7282758, -16523920, 3023986, 9873088, -162998, -12281864, -1901172, -1734656, -12761644, -35675136, -17613392, -8380384, 3828132, 4172192, -4688348, -12076288, 20873062, 7520624, -9877198, 2454144, 1858802, 3251472, -17301088, -5659136, 10454092, 1080112, 5295346, 1956768, 28022036, 2646000, 1558186, -1415168, 1945458, 4056920, -3217598, -1893696, -38494260, 2288496, 24859472, -999424, -6486270, 4396032, 2734046, 16059008, -38895808, 4984672, 4181502, -2244480, 24417624, 5091408, 22983856, -12090848, 502556, -2949544, 27411356, 2341376, 11439330, 960176, 23164064, -328512, -20825338, 14163408, -7896510, 8497664, -59848600, 7849632, -16745224, 7136544, 11219572, -5636744, 5782798, 1691648, -2945068, -6921456, 22276884, -6421184, 3779602, -9000096, -12125400, 1731968, 2449000, 10047272, -9270702, -727200, 8049734, -28638736, -19141710, 11053056, -30213222, -3560760, -34514, -4670176, -11989516, -70784, 11090528, -6512768, -20662264, 8402088, -19130496, -17884608, 51546040, -9130592, 8533408, -1146880, -2342654, -2753016, 56937104, 16846592, 38635376, -629464, -13473726, 1520000, 1392454, 26131840, -10987242, -7031488, 12405642, -2285192, -25162078, -1569792, 36445976, 7921704, -47831216, 515360, 5350002, -9481960, -32300268, -5712896, -21379834, -7712, -21798188, 7293440, 28237664, 19112408, -2145612, 5433344, -36630712, -16753424, -26648104, -16599776, -24892518, 33267808, -9538144, 470272, 46623078, 1304856, 32068674, 3908800, 15782900, 22745016, 31620244, 4106240, -4321380, -9037960, 20599670, -868672, -11396224, -29082768, 24550904, 10904320, -5777772, -9094512, 79769060, -13457024, 11730104, -25226544, 6882946, -253952, -26192082, -11342352, 14579278, -6456512, -15582598, -6663104, -41339076, 4830336, 15583596, 11221672, -26116104, 16130592, -26306784, -11920648, 9580158, -13748224, -16717386, -29198304, -27274354, 3986752, -33115568, 7000784, 55046880, -7927808, -22820668, 11026712, 4242392, 3605856, -9732758, 30115568, -57720236, -5599232, 1107046, -4478880, 7004194, 10218208, -31858680, 37161600, 81997728, 3422592, 41343246, 2226408, -33450704, 4794944, 2770110, -10415184, 17763694, 6483456, -8695848, 18804576, -25948972, -8839264, -18606440, -1865376, 12657526, -8160128, -11301710, -4811520, 11280206, -1771968, 22715836, 26673976, 3722796, -917504, -40327224, -1771336, 22554180, -1456096, -29875342, -15955904, -1293656, -1064448, 32657968, -23525776, -1497300, 28682304, 3935024, 15881096, -13484072, -7250432, 122816020, -1286456, -44565710, 9000256, 5353446, -37618896, -75933536, 8896000, 25925228, -25477592, 19887402, -2863840, -4901064, -2276792, -40482948, -6463488, 37981524, 26045448, -8059394, -13506752, -7159474, -23359840, 8321710, 2694272, 38133698, 3466568, -54598992, -13971776, 26656908, -1095592, 32482786, -6595072, 23187976, 24744944, 85710408, 3470208, -35170502, -25106312, 8341698, -3955840, 2350096, 10865344, -93525648, 22183360, -16069326, 50700832, 29439662, 14909440, -11725406, 29775424, -14588896, 2350880, 8765418, -29969184, -94811360, -3963904, -2312676, -25261616, -38394748, -17984128, 28101430, -18559968, -16300340, 7658496, -59624378, -5812576, -3026374, 9449216, 26407640, 6252568, -22278344, 9360768, -21172158, -20514480, 26061686, -72326912, 10488156, 38541936, -24686434, -7325696, -8297314, 5856368, 31720640, -6588512, 35233356, -7413104, 89254508, 4160640, -8523592, 14431760, 87807552, 39728704, 9997866, -12580232, 44585100, 3974656, -17330040, 17394608, 86199632, -27779136, 231154, 1476568, 55520094, 1998080, 34436416, 44635728, 674314, 2293760, 12604014, -40696488, -68766348, 2064384, -210640920, -22603408, -12086004, 27318016, 1929774, 3007200, -34352696, -23137792, 23302524, 15125656, -4725230, 1019424, 37436504, -62876016, 15166656, 4829696, -18064312, -32476344, -28371294, 59747520, 8128750, 45917168, -22339362, -13129088, -60414872, 416528, -34491072, -11325440, -102323472, 60026496, 33682012, 2920448, 258594, 19851888, 10042550, 38455744, 5689990, -23487016, 11468138, -22138368, 189290024, -16598848, 99061828, 17701536, 44924978, 43019192, 11541180, -566272, -47422270, 19805504, -66920458, -44453472, -45858148, -38033184, -141369900, -601216, -63033368, 29862096, -73499958, -7163136, 18960788, 13528816, -14726642, -16695296, 51771364, 28832048, -6125268, -36200416, 33339124, -62706392, 76972064, 18509568, 14032942, 12064976, 50973510, -60666368, -67138624, -36979216, 110243952, 7178752, 5801538, -18639544, -33453084, 31720640, 12875864, -5281824, 54508818, -4445952, -74206916, -45798368, 106653792, 13010816, 28613096, 3294256, -14838046, 2738176, 72551612, -17155264, -144049964, -39453568, -663502, -39850536, 34546778, 90881280], 'weight': 6, 'weight_parity': 1}