Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 13677797.495393548, 'bad_primes': [2, 7, 17], 'central_character': '1.1', 'conductor': 3364400907943936, 'conductor_radical': 238, 'degree': 8, 'dirichlet_coefficients': [1, 0, 3, 0, -5, 0, -4, 0, 2, 0, 0, 0, -8, 0, -15, 0, 4, 0, 0, 0, -12, 0, -6, 0, 4, 0, -4, 0, -8, 0, 7, 0, 0, 0, 20, 0, -8, 0, -24, 0, 15, 0, -9, 0, -10, 0, -6, 0, 10, 0, 12, 0, -17, 0, 0, 0, 0, 0, 0, 0, -5, 0, -8, 0, 40, 0, -9, 0, -18, 0, 12, 0, -11, 0, 12, 0, 0, 0, 6, 0, -9, 0, -6, 0, -20, 0, -24, 0, 2, 0, 32, 0, 21, 0, 0, 0, 9, 0, 0, 0], 'euler11': [1, 0, 16, 0, 142, 0, 1936, 0, 14641], 'euler13': [1, 8, 76, 344, 1654, 4472, 12844, 17576, 28561], 'euler17': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler19': [1, 0, 76, 0, 2166, 0, 27436, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 6, 72, 286, 2126, 6578, 38088, 73002, 279841], 'euler29': [1, 8, 84, 504, 3110, 14616, 70644, 195112, 707281], 'euler3': [1, -3, 7, -11, 16, -33, 63, -81, 81], 'euler31': [1, -7, 21, 229, -2220, 7099, 20181, -208537, 923521], 'euler37': [1, 8, 144, 808, 7854, 29896, 197136, 405224, 1874161], 'euler41': [1, -15, 177, -1413, 10020, -57933, 297537, -1033815, 2825761], 'euler43': [1, 9, 117, 561, 5196, 24123, 216333, 715563, 3418801], 'euler47': [1, 6, 64, 78, 2238, 3666, 141376, 622938, 4879681], 'euler5': [1, 5, 21, 67, 156, 335, 525, 625, 625], 'euler53': [1, 17, 235, 2023, 16792, 107219, 660115, 2530909, 7890481], 'euler59': [1, 0, 124, 0, 8182, 0, 431644, 0, 12117361], 'euler61': [1, 5, 245, 907, 22444, 55327, 911645, 1134905, 13845841], 'euler67': [1, 9, 215, 1833, 19912, 122811, 965135, 2706867, 20151121], 'euler7': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler71': [1, -12, 140, -1148, 7238, -81508, 705740, -4294932, 25411681], 'euler73': [1, 11, 193, 1857, 20804, 135561, 1028497, 4279187, 28398241], 'euler79': [1, -6, 192, -654, 18494, -51666, 1198272, -2958234, 38950081], 'euler83': [1, 6, 0, -554, 686, -45982, 0, 3430722, 47458321], 'euler89': [1, -2, 180, -1054, 18198, -93806, 1425780, -1409938, 62742241], 'euler97': [1, -9, 265, -1795, 34052, -174115, 2493385, -8214057, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -3, 7, -11, 16, -33, 63, -81, 81], [1, 5, 21, 67, 156, 335, 525, 625, 625], [1, 4, 6, 4, 1, 0, 0, 0, 0], [1, 0, 16, 0, 142, 0, 1936, 0, 14641], [1, 8, 76, 344, 1654, 4472, 12844, 17576, 28561], [1, -4, 6, -4, 1, 0, 0, 0, 0], [1, 0, 76, 0, 2166, 0, 27436, 0, 130321], [1, 6, 72, 286, 2126, 6578, 38088, 73002, 279841], [1, 8, 84, 504, 3110, 14616, 70644, 195112, 707281], [1, -7, 21, 229, -2220, 7099, 20181, -208537, 923521], [1, 8, 144, 808, 7854, 29896, 197136, 405224, 1874161], [1, -15, 177, -1413, 10020, -57933, 297537, -1033815, 2825761], [1, 9, 117, 561, 5196, 24123, 216333, 715563, 3418801], [1, 6, 64, 78, 2238, 3666, 141376, 622938, 4879681], [1, 17, 235, 2023, 16792, 107219, 660115, 2530909, 7890481], [1, 0, 124, 0, 8182, 0, 431644, 0, 12117361], [1, 5, 245, 907, 22444, 55327, 911645, 1134905, 13845841], [1, 9, 215, 1833, 19912, 122811, 965135, 2706867, 20151121], [1, -12, 140, -1148, 7238, -81508, 705740, -4294932, 25411681], [1, 11, 193, 1857, 20804, 135561, 1028497, 4279187, 28398241], [1, -6, 192, -654, 18494, -51666, 1198272, -2958234, 38950081], [1, 6, 0, -554, 686, -45982, 0, 3430722, 47458321], [1, -2, 180, -1054, 18198, -93806, 1425780, -1409938, 62742241], [1, -9, 265, -1795, 34052, -174115, 2493385, -8214057, 88529281]], 'id': 21867703, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7616/2/a/bo'], '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': '8-7616e4-1.1-c1e4-0-5', '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}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 4, 'prelabel': '8-7616e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.7983373984078925, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 691644132640484076, 'z1': {'__RealLiteral__': 0, 'data': '0.874295096268019284418240540795', 'prec': 107}}