Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 92.80694945139375, 'bad_primes': [3, 7], 'central_character': '1.1', 'conductor': 182284263, 'conductor_radical': 21, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, -3, 0, 3, 3, 0, 0, -6, 0, 3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -3, 0, 6, 0, 0, 0, -9, 0, 15, 0, 0, -9, 12, 0, 12, 0, 0, 0, 0, 0, 6, 0, 0, 0, -12, 0, 18, 9, 0, 0, 18, 0, -3, 0, 0, 1, -9, 0, 6, 0, 0, 0, 0, 0, 9, 0, 0, 0, -18, 0, 6, 0, 0, 0, -12, 0, 9, 0, 0, -18, -15, 0, 9, 0, 0, 0, 0, 0, 12, 0, 0, 0], 'euler11': [1, 6, 36, 126, 396, 726, 1331], 'euler13': [1, -3, 3, 34, 39, -507, 2197], 'euler17': [1, 3, 27, 114, 459, 867, 4913], 'euler19': [1, 0, 9, -56, 171, 0, 6859], 'euler2': [1, 0, 0, -3, 0, 0, 8], 'euler23': [1, -6, 45, -180, 1035, -3174, 12167], 'euler29': [1, 3, 51, 210, 1479, 2523, 24389], 'euler3': [1, 0, 0, 0, 0, 0, 0], 'euler31': [1, -6, 105, -380, 3255, -5766, 29791], 'euler37': [1, -15, 186, -1235, 6882, -20535, 50653], 'euler41': [1, -12, 123, -912, 5043, -20172, 68921], 'euler43': [1, -12, 84, -380, 3612, -22188, 79507], 'euler47': [1, 0, 117, 24, 5499, 0, 103823], 'euler5': [1, 3, 9, 18, 45, 75, 125], 'euler53': [1, 12, 180, 1266, 9540, 33708, 148877], 'euler59': [1, -18, 189, -1572, 11151, -62658, 205379], 'euler61': [1, 3, 105, 178, 6405, 11163, 226981], 'euler67': [1, -6, 132, -542, 8844, -26934, 300763], 'euler7': [1, -3, 3, -1, 0, 0, 0], 'euler71': [1, 0, 132, 108, 9372, 0, 357911], 'euler73': [1, -9, 207, -1298, 15111, -47961, 389017], 'euler79': [1, -6, 168, -686, 13272, -37446, 493039], 'euler83': [1, 12, 249, 1920, 20667, 82668, 571787], 'euler89': [1, 15, 315, 2622, 28035, 118815, 704969], 'euler97': [1, -12, 291, -2144, 28227, -112908, 912673], 'euler_factors': [[1, 0, 0, -3, 0, 0, 8], [1, 0, 0, 0, 0, 0, 0], [1, 3, 9, 18, 45, 75, 125], [1, -3, 3, -1, 0, 0, 0], [1, 6, 36, 126, 396, 726, 1331], [1, -3, 3, 34, 39, -507, 2197], [1, 3, 27, 114, 459, 867, 4913], [1, 0, 9, -56, 171, 0, 6859], [1, -6, 45, -180, 1035, -3174, 12167], [1, 3, 51, 210, 1479, 2523, 24389], [1, -6, 105, -380, 3255, -5766, 29791], [1, -15, 186, -1235, 6882, -20535, 50653], [1, -12, 123, -912, 5043, -20172, 68921], [1, -12, 84, -380, 3612, -22188, 79507], [1, 0, 117, 24, 5499, 0, 103823], [1, 12, 180, 1266, 9540, 33708, 148877], [1, -18, 189, -1572, 11151, -62658, 205379], [1, 3, 105, 178, 6405, 11163, 226981], [1, -6, 132, -542, 8844, -26934, 300763], [1, 0, 132, 108, 9372, 0, 357911], [1, -9, 207, -1298, 15111, -47961, 389017], [1, -6, 168, -686, 13272, -37446, 493039], [1, 12, 249, 1920, 20667, 82668, 571787], [1, 15, 315, 2622, 28035, 118815, 704969], [1, -12, 291, -2144, 28227, -112908, 912673]], 'id': 11368786, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/567/2/a/e'], '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': '6-567e3-1.1-c1e3-0-0', '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}], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '6-567e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.1277964645629526, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 1915819187026688992, 'z1': {'__RealLiteral__': 0, 'data': '0.69247686109260914487240933215', 'prec': 103}}