Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 96.64512858940317, 'bad_primes': [2, 3, 7, 13], 'central_character': '1.1', 'conductor': 1638, 'conductor_radical': 546, 'degree': 2, 'dirichlet_coefficients': [1, -2, 0, 4, 14, 0, -7, -8, 0, -28, -8, 0, 13, 14, 0, 16, 98, 0, -28, 56, 0, 16, 52, 0, 71, -26, 0, -28, 2, 0, -168, -32, 0, -196, -98, 0, -146, 56, 0, -112, 514, 0, -236, -32, 0, -104, 216, 0, 49, -142, 0, 52, 66, 0, -112, 56, 0, -4, 84, 0, 446, 336, 0, 64, 182, 0, 292, 392, 0, 196, -100, 0, 450, 292, 0, -112, 56, 0, 392, 224, 0, -1028, 292, 0, 1372, 472, 0, 64, 402, 0, -91, 208, 0, -432, -392, 0, 314, -98, 0, 284], 'euler11': [1, 8, 1331], 'euler13': [1, -13, 0], 'euler17': [1, -98, 4913], 'euler19': [1, 28, 6859], 'euler2': [1, 2, 0], 'euler23': [1, -52, 12167], 'euler29': [1, -2, 24389], 'euler3': [1, 0, 0], 'euler31': [1, 168, 29791], 'euler37': [1, 146, 50653], 'euler41': [1, -514, 68921], 'euler43': [1, 236, 79507], 'euler47': [1, -216, 103823], 'euler5': [1, -14, 125], 'euler53': [1, -66, 148877], 'euler59': [1, -84, 205379], 'euler61': [1, -446, 226981], 'euler67': [1, -292, 300763], 'euler7': [1, 7, 0], 'euler71': [1, 100, 357911], 'euler73': [1, -450, 389017], 'euler79': [1, -392, 493039], 'euler83': [1, -292, 571787], 'euler89': [1, -402, 704969], 'euler97': [1, -314, 912673], 'euler_factors': [[1, 2, 0], [1, 0, 0], [1, -14, 125], [1, 7, 0], [1, 8, 1331], [1, -13, 0], [1, -98, 4913], [1, 28, 6859], [1, -52, 12167], [1, -2, 24389], [1, 168, 29791], [1, 146, 50653], [1, -514, 68921], [1, 236, 79507], [1, -216, 103823], [1, -66, 148877], [1, -84, 205379], [1, -446, 226981], [1, -292, 300763], [1, 100, 357911], [1, -450, 389017], [1, -392, 493039], [1, -292, 571787], [1, -402, 704969], [1, -314, 912673]], 'id': 20926199, 'index': 25, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1638/4/a/h/1/1', 'ModularForm/GL2/Q/holomorphic/1638/4/a/h'], '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': '2-1638-1.1-c3-0-25', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-1638-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 9.830825427674075, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 930585527852407965, 'z1': {'__RealLiteral__': 0, 'data': '0.77008412537397593343811959902', 'prec': 103}}