Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 26720.146887634422, 'bad_primes': [2, 3, 13], 'central_character': '1.1', 'conductor': 52481654784, 'conductor_radical': 78, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -6, 0, 8, 0, 0, 0, 0, 0, 2, 0, 0, 0, -10, 0, -4, 0, 0, 0, -8, 0, -5, 0, 0, 0, -14, 0, -8, 0, 0, 0, 20, 0, 2, 0, 0, 0, -6, 0, 16, 0, 0, 0, -8, 0, 22, 0, 0, 0, 0, 0, 36, 0, 0, 0, 4, 0, 12, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0], 'euler11': [1, -4, 17, -56, 187, -484, 1331], 'euler13': [1, -3, 3, -1, 0, 0, 0], 'euler17': [1, 6, 63, 212, 1071, 1734, 4913], 'euler19': [1, 0, 41, -16, 779, 0, 6859], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 5, 128, 115, 0, 12167], 'euler29': [1, 6, 99, 356, 2871, 5046, 24389], 'euler3': [1, 0, 0, 0, 0, 0, 0], 'euler31': [1, -8, 61, -224, 1891, -7688, 29791], 'euler37': [1, -2, 59, -108, 2183, -2738, 50653], 'euler41': [1, 10, 143, 812, 5863, 16810, 68921], 'euler43': [1, 4, 49, 280, 2107, 7396, 79507], 'euler47': [1, 8, 141, 720, 6627, 17672, 103823], 'euler5': [1, 2, 3, 12, 15, 50, 125], 'euler53': [1, 14, 171, 1332, 9063, 39326, 148877], 'euler59': [1, -20, 273, -2328, 16107, -69620, 205379], 'euler61': [1, -2, 35, -780, 2135, -7442, 226981], 'euler67': [1, -16, 137, -1104, 9179, -71824, 300763], 'euler7': [1, 0, 5, 16, 35, 0, 343], 'euler71': [1, 8, 197, 976, 13987, 40328, 357911], 'euler73': [1, -22, 327, -3220, 23871, -117238, 389017], 'euler79': [1, -36, 669, -7416, 52851, -224676, 493039], 'euler83': [1, -4, 217, -696, 18011, -27556, 571787], 'euler89': [1, -6, 159, -852, 14151, -47526, 704969], 'euler97': [1, 2, 239, 348, 23183, 18818, 912673], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, 2, 3, 12, 15, 50, 125], [1, 0, 5, 16, 35, 0, 343], [1, -4, 17, -56, 187, -484, 1331], [1, -3, 3, -1, 0, 0, 0], [1, 6, 63, 212, 1071, 1734, 4913], [1, 0, 41, -16, 779, 0, 6859], [1, 0, 5, 128, 115, 0, 12167], [1, 6, 99, 356, 2871, 5046, 24389], [1, -8, 61, -224, 1891, -7688, 29791], [1, -2, 59, -108, 2183, -2738, 50653], [1, 10, 143, 812, 5863, 16810, 68921], [1, 4, 49, 280, 2107, 7396, 79507], [1, 8, 141, 720, 6627, 17672, 103823], [1, 14, 171, 1332, 9063, 39326, 148877], [1, -20, 273, -2328, 16107, -69620, 205379], [1, -2, 35, -780, 2135, -7442, 226981], [1, -16, 137, -1104, 9179, -71824, 300763], [1, 8, 197, 976, 13987, 40328, 357911], [1, -22, 327, -3220, 23871, -117238, 389017], [1, -36, 669, -7416, 52851, -224676, 493039], [1, -4, 217, -696, 18011, -27556, 571787], [1, -6, 159, -852, 14151, -47526, 704969], [1, 2, 239, 348, 23183, 18818, 912673]], 'id': 20203053, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3744/2/a/ba'], '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': '6-3744e3-1.1-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': '6-3744e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.467722607884144, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 1976398056785780110, 'z1': {'__RealLiteral__': 0, 'data': '0.48808188129536633221085891707', 'prec': 103}}