Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 37.18434761548858, 'bad_primes': [2, 11, 19], 'central_character': '1.1', 'conductor': 73034632, 'conductor_radical': 418, 'degree': 6, 'dirichlet_coefficients': [1, -3, 0, 6, -3, 0, -6, -10, -3, 9, -3, 0, 0, 18, 0, 15, -9, 9, -3, -18, 0, 9, -15, 0, 3, 0, 3, -36, 6, 0, -3, -21, 0, 27, 18, -18, -6, 9, 0, 30, -9, 0, -21, -18, 9, 45, -12, 0, 21, -9, 0, 0, -9, -9, 9, 60, 0, -18, -3, 0, 24, 9, 18, 28, 0, 0, 0, -54, 0, -54, 21, 30, -3, 18, 0, -18, 18, 0, -6, -45, 0, 27, -33, 0, 27, 63, 0, 30, 6, -27, 0, -90, 0, 36, 9, 0, 12, -63, 9, 18], 'euler11': [1, 3, 3, 1, 0, 0, 0], 'euler13': [1, 0, 21, -29, 273, 0, 2197], 'euler17': [1, 9, 69, 302, 1173, 2601, 4913], 'euler19': [1, 3, 3, 1, 0, 0, 0], 'euler2': [1, 3, 3, 1, 0, 0, 0], 'euler23': [1, 15, 135, 766, 3105, 7935, 12167], 'euler29': [1, -6, 63, -201, 1827, -5046, 24389], 'euler3': [1, 0, 3, -3, 9, 0, 27], 'euler31': [1, 3, 42, 52, 1302, 2883, 29791], 'euler37': [1, 6, 87, 348, 3219, 8214, 50653], 'euler41': [1, 9, 78, 616, 3198, 15129, 68921], 'euler43': [1, 21, 222, 1622, 9546, 38829, 79507], 'euler47': [1, 12, 81, 456, 3807, 26508, 103823], 'euler5': [1, 3, 6, 12, 30, 75, 125], 'euler53': [1, 9, 69, 502, 3657, 25281, 148877], 'euler59': [1, 3, 153, 290, 9027, 10443, 205379], 'euler61': [1, -24, 339, -3120, 20679, -89304, 226981], 'euler67': [1, 0, 105, 123, 7035, 0, 300763], 'euler7': [1, 6, 15, 27, 105, 294, 343], 'euler71': [1, -21, 216, -1676, 15336, -105861, 357911], 'euler73': [1, 3, 213, 426, 15549, 15987, 389017], 'euler79': [1, 6, 105, 4, 8295, 37446, 493039], 'euler83': [1, 33, 594, 6582, 49302, 227337, 571787], 'euler89': [1, -6, 231, -924, 20559, -47526, 704969], 'euler97': [1, -12, 195, -2072, 18915, -112908, 912673], 'euler_factors': [[1, 3, 3, 1, 0, 0, 0], [1, 0, 3, -3, 9, 0, 27], [1, 3, 6, 12, 30, 75, 125], [1, 6, 15, 27, 105, 294, 343], [1, 3, 3, 1, 0, 0, 0], [1, 0, 21, -29, 273, 0, 2197], [1, 9, 69, 302, 1173, 2601, 4913], [1, 3, 3, 1, 0, 0, 0], [1, 15, 135, 766, 3105, 7935, 12167], [1, -6, 63, -201, 1827, -5046, 24389], [1, 3, 42, 52, 1302, 2883, 29791], [1, 6, 87, 348, 3219, 8214, 50653], [1, 9, 78, 616, 3198, 15129, 68921], [1, 21, 222, 1622, 9546, 38829, 79507], [1, 12, 81, 456, 3807, 26508, 103823], [1, 9, 69, 502, 3657, 25281, 148877], [1, 3, 153, 290, 9027, 10443, 205379], [1, -24, 339, -3120, 20679, -89304, 226981], [1, 0, 105, 123, 7035, 0, 300763], [1, -21, 216, -1676, 15336, -105861, 357911], [1, 3, 213, 426, 15549, 15987, 389017], [1, 6, 105, 4, 8295, 37446, 493039], [1, 33, 594, 6582, 49302, 227337, 571787], [1, -6, 231, -924, 20559, -47526, 704969], [1, -12, 195, -2072, 18915, -112908, 912673]], 'id': 10295895, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/418/2/a/g'], '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': '6-418e3-1.1-c1e3-0-1', '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': 3, 'prelabel': '6-418e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.826950137384576, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 1607218763882623315, 'z1': {'__RealLiteral__': 0, 'data': '1.77032488513779722631352986231', 'prec': 103}}