Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 409524.7621012392, 'bad_primes': [2, 3, 5, 31], 'central_character': '1.1', 'conductor': 804357000000, 'conductor_radical': 930, 'degree': 6, 'dirichlet_coefficients': [1, 0, -3, 0, 0, 0, 0, 0, 6, 0, -5, 0, -2, 0, 0, 0, 5, 0, -5, 0, 0, 0, 1, 0, 0, 0, -10, 0, 3, 0, 3, 0, 15, 0, 0, 0, 0, 0, 6, 0, -18, 0, 16, 0, 0, 0, 2, 0, -13, 0, -15, 0, -3, 0, 0, 0, 15, 0, 24, 0, -12, 0, 0, 0, 0, 0, 29, 0, -3, 0, -6, 0, 8, 0, 0, 0, 0, 0, -8, 0, 15, 0, -19, 0, 0, 0, -9, 0, -17, 0, 0, 0, -9, 0, 0, 0, -17, 0, -30, 0], 'euler11': [1, 5, 36, 103, 396, 605, 1331], 'euler13': [1, 2, 21, 70, 273, 338, 2197], 'euler17': [1, -5, 40, -173, 680, -1445, 4913], 'euler19': [1, 5, 44, 181, 836, 1805, 6859], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, -1, 20, 101, 460, -529, 12167], 'euler29': [1, -3, 24, 69, 696, -2523, 24389], 'euler3': [1, 3, 3, 1, 0, 0, 0], 'euler31': [1, -3, 3, -1, 0, 0, 0], 'euler37': [1, 0, 73, 86, 2701, 0, 50653], 'euler41': [1, 18, 127, 662, 5207, 30258, 68921], 'euler43': [1, -16, 193, -1392, 8299, -29584, 79507], 'euler47': [1, -2, 121, -196, 5687, -4418, 103823], 'euler5': [1, 0, 0, 0, 0, 0, 0], 'euler53': [1, 3, 124, 195, 6572, 8427, 148877], 'euler59': [1, -24, 325, -2998, 19175, -83544, 205379], 'euler61': [1, 12, 199, 1368, 12139, 44652, 226981], 'euler67': [1, -29, 412, -3897, 27604, -130181, 300763], 'euler7': [1, 0, 13, -4, 91, 0, 343], 'euler71': [1, 6, 193, 764, 13703, 30246, 357911], 'euler73': [1, -8, 211, -1056, 15403, -42632, 389017], 'euler79': [1, 8, 31, -510, 2449, 49928, 493039], 'euler83': [1, 19, 344, 3213, 28552, 130891, 571787], 'euler89': [1, 17, 314, 3059, 27946, 134657, 704969], 'euler97': [1, 17, 226, 2181, 21922, 159953, 912673], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0], [1, 3, 3, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, 0, 13, -4, 91, 0, 343], [1, 5, 36, 103, 396, 605, 1331], [1, 2, 21, 70, 273, 338, 2197], [1, -5, 40, -173, 680, -1445, 4913], [1, 5, 44, 181, 836, 1805, 6859], [1, -1, 20, 101, 460, -529, 12167], [1, -3, 24, 69, 696, -2523, 24389], [1, -3, 3, -1, 0, 0, 0], [1, 0, 73, 86, 2701, 0, 50653], [1, 18, 127, 662, 5207, 30258, 68921], [1, -16, 193, -1392, 8299, -29584, 79507], [1, -2, 121, -196, 5687, -4418, 103823], [1, 3, 124, 195, 6572, 8427, 148877], [1, -24, 325, -2998, 19175, -83544, 205379], [1, 12, 199, 1368, 12139, 44652, 226981], [1, -29, 412, -3897, 27604, -130181, 300763], [1, 6, 193, 764, 13703, 30246, 357911], [1, -8, 211, -1056, 15403, -42632, 389017], [1, 8, 31, -510, 2449, 49928, 493039], [1, 19, 344, 3213, 28552, 130891, 571787], [1, 17, 314, 3059, 27946, 134657, 704969], [1, 17, 226, 2181, 21922, 159953, 912673]], 'id': 22721567, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9300/2/a/s'], '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': '6-9300e3-1.1-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': '6-9300e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.61747491320925, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 602856454915816913, 'z1': {'__RealLiteral__': 0, 'data': '1.02938230697506083335543850570', 'prec': 103}}