Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 12022753.901702773, 'bad_primes': [31], 'central_character': '1.1', 'conductor': 727423121747185263828481, 'conductor_radical': 31, 'degree': 16, 'dirichlet_coefficients': [1, -8, 0, 40, 0, 0, 2, -146, -2, 0, 0, 0, 0, -16, 0, 434, 0, 16, -2, 0, 0, 0, 0, 0, -20, 0, 0, 80, 0, 0, 0, -1092, 0, 0, 0, -80, 0, 16, 0, 0, 14, 0, 0, 0, 0, 0, 36, 0, 15, 160, 0, 0, 0, 0, 0, -292, 0, 0, -46, 0, 0, 0, -4, 2411, 0, 0, 48, 0, 0, 0, -26, 292, 0, 0, 0, -80, 0, 0, 0, 0, -11, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 14, -120, 0, -800], 'euler11': [1, 0, -4, 0, -105, 0, 904, 0, 9089, 0, 109384, 0, -1537305, 0, -7086244, 0, 214358881], 'euler13': [1, 0, 46, 0, 1047, 0, 17438, 0, 244505, 0, 2947022, 0, 29903367, 0, 222033214, 0, 815730721], 'euler17': [1, 0, -12, 0, 575, 0, -13122, 0, 166429, 0, -3792258, 0, 48024575, 0, -289650828, 0, 6975757441], 'euler19': [1, 2, -35, -110, 860, 536, -24013, 3460, 653335, 65740, -8668693, 3676424, 112076060, -272370890, 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728320, -12855456, 120735269, -604206432, 1608858880, -4937406588, 73444078731, -869676266544, 5583633540422, -18238432336668, 23811286661761], 'euler5': [1, 0, 20, 0, 250, 0, 2000, 0, 11875, 0, 50000, 0, 156250, 0, 312500, 0, 390625], 'euler53': [1, 0, 182, 0, 16635, 0, 1141492, 0, 65975189, 0, 3206451028, 0, 131258151435, 0, 4033913725478, 0, 62259690411361], 'euler59': [1, 46, 909, 10446, 84476, 634968, 6101651, 66790348, 599587527, 3940630532, 21239847131, 130409092872, 1023626187836, 7468099227354, 38342105079669, 114477968301674, 146830437604321], 'euler61': [1, 0, 60, 0, 1024, 0, 226980, 0, 34393326, 0, 844592580, 0, 14178141184, 0, 3091222461660, 0, 191707312997281], 'euler67': [1, -48, 1544, -34608, 621628, -9012528, 110335736, -1138037424, 10094145958, -76248507408, 495297118904, -2710634958864, 12526501044988, -46725129703056, 139667742068936, -290914157055504, 406067677556641], 'euler7': [1, -2, -11, 38, 68, -32, -949, -436, 12223, -3052, -46501, -10976, 163268, 638666, -1294139, -1647086, 5764801], 'euler71': [1, 26, 165, -750, -8260, -37632, -544237, 8859980, 189297375, 629058580, -2743498717, -13468906752, -209900485060, -1353172013250, 21136546846965, 236473124118166, 645753531245761], 'euler73': [1, 0, -128, 0, 11055, 0, -732928, 0, 34902689, 0, -3905773312, 0, 313942554255, 0, -19370780964992, 0, 806460091894081], 'euler79': [1, 0, -230, 0, 13719, 0, 1400990, 0, -238413799, 0, 8743578590, 0, 534356161239, 0, -55910114769830, 0, 1517108809906561], 'euler83': [1, 0, -156, 0, 17447, 0, -1647048, 0, 136747105, 0, -11346513672, 0, 828005326487, 0, -51002698245564, 0, 2252292232139041], 'euler89': [1, 0, 182, 0, 24303, 0, 2899174, 0, 320768105, 0, 22964357254, 0, 1524824683023, 0, 90450594954902, 0, 3936588805702081], 'euler97': [1, -14, -47, 2702, -16804, 133756, -1016305, -20877724, 515718439, -2025139228, -9562413745, 122075489788, -1487646037924, 23202993374414, -39149684231663, -1131175982693582, 7837433594376961], 'euler_factors': [[1, 8, 24, 18, -82, -252, -199, 374, 1053, 748, -796, -2016, -1312, 576, 1536, 1024, 256], [1, 0, 2, 0, 15, 0, 22, 0, 169, 0, 198, 0, 1215, 0, 1458, 0, 6561], [1, 0, 20, 0, 250, 0, 2000, 0, 11875, 0, 50000, 0, 156250, 0, 312500, 0, 390625], [1, -2, -11, 38, 68, -32, -949, -436, 12223, -3052, -46501, -10976, 163268, 638666, -1294139, -1647086, 5764801], [1, 0, -4, 0, -105, 0, 904, 0, 9089, 0, 109384, 0, -1537305, 0, -7086244, 0, 214358881], [1, 0, 46, 0, 1047, 0, 17438, 0, 244505, 0, 2947022, 0, 29903367, 0, 222033214, 0, 815730721], [1, 0, -12, 0, 575, 0, -13122, 0, 166429, 0, -3792258, 0, 48024575, 0, -289650828, 0, 6975757441], [1, 2, -35, -110, 860, 536, -24013, 3460, 653335, 65740, -8668693, 3676424, 112076060, -272370890, -1646605835, 1787743478, 16983563041], [1, 0, -64, 0, 1047, 0, 18958, 0, -981475, 0, 10028782, 0, 292993527, 0, -9474296896, 0, 78310985281], [1, 0, -36, 0, 1895, 0, -82914, 0, 2002669, 0, -69730674, 0, 1340297495, 0, -21413639556, 0, 500246412961], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 224, 0, 24292, 0, 1622432, 0, 72597670, 0, 2221109408, 0, 45527119012, 0, 574722715616, 0, 3512479453921], [1, -14, 105, -1170, 14180, -109332, 691343, -5609540, 43250535, -229991140, 1162147583, -7535270772, 40069290980, -135551755170, 498760945305, -2726559834334, 7984925229121], [1, 0, -144, 0, 6287, 0, 99078, 0, -15616595, 0, 183195222, 0, 21494001887, 0, -910276279056, 0, 11688200277601], [1, -36, 518, -3792, 15051, -47556, 728320, -12855456, 120735269, -604206432, 1608858880, -4937406588, 73444078731, -869676266544, 5583633540422, -18238432336668, 23811286661761], [1, 0, 182, 0, 16635, 0, 1141492, 0, 65975189, 0, 3206451028, 0, 131258151435, 0, 4033913725478, 0, 62259690411361], [1, 46, 909, 10446, 84476, 634968, 6101651, 66790348, 599587527, 3940630532, 21239847131, 130409092872, 1023626187836, 7468099227354, 38342105079669, 114477968301674, 146830437604321], [1, 0, 60, 0, 1024, 0, 226980, 0, 34393326, 0, 844592580, 0, 14178141184, 0, 3091222461660, 0, 191707312997281], [1, -48, 1544, -34608, 621628, -9012528, 110335736, -1138037424, 10094145958, -76248507408, 495297118904, -2710634958864, 12526501044988, -46725129703056, 139667742068936, -290914157055504, 406067677556641], [1, 26, 165, -750, -8260, -37632, -544237, 8859980, 189297375, 629058580, -2743498717, -13468906752, -209900485060, -1353172013250, 21136546846965, 236473124118166, 645753531245761], [1, 0, -128, 0, 11055, 0, -732928, 0, 34902689, 0, -3905773312, 0, 313942554255, 0, -19370780964992, 0, 806460091894081], [1, 0, -230, 0, 13719, 0, 1400990, 0, -238413799, 0, 8743578590, 0, 534356161239, 0, -55910114769830, 0, 1517108809906561], [1, 0, -156, 0, 17447, 0, -1647048, 0, 136747105, 0, -11346513672, 0, 828005326487, 0, -51002698245564, 0, 2252292232139041], [1, 0, 182, 0, 24303, 0, 2899174, 0, 320768105, 0, 22964357254, 0, 1524824683023, 0, 90450594954902, 0, 3936588805702081], [1, -14, -47, 2702, -16804, 133756, -1016305, -20877724, 515718439, -2025139228, -9562413745, 122075489788, -1487646037924, 23202993374414, -39149684231663, -1131175982693582, 7837433594376961]], 'id': 18340197, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/961/2/d/h'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '16-31e16-1.1-c1e8-0-5', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '16-31e16-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.77013061682027, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 1411802808557552564, 'z1': {'__RealLiteral__': 0, 'data': '0.17935042567853505727369995285', 'prec': 103}}