Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 18.585601651808304, 'bad_primes': [3, 5, 7], 'central_character': '1.1', 'conductor': 315, 'conductor_radical': 105, 'degree': 2, 'dirichlet_coefficients': [1, 3, 0, 1, 5, 0, 7, -21, 0, 15, 60, 0, 38, 21, 0, -71, -84, 0, 110, 5, 0, 180, 120, 0, 25, 114, 0, 7, 162, 0, 236, -45, 0, -252, 35, 0, -376, 330, 0, -105, -126, 0, -34, 60, 0, 360, -6, 0, 49, 75, 0, 38, 582, 0, 300, -147, 0, 486, 492, 0, -880, 708, 0, 433, 190, 0, -826, -84, 0, 105, -666, 0, -826, -1128, 0, 110, 420, 0, -592, -355, 0, -378, 792, 0, -420, -102, 0, -1260, 1002, 0, 266, 120, 0, -18, 550, 0, 1442, 147, 0, 25], 'euler11': [1, -60, 1331], 'euler13': [1, -38, 2197], 'euler17': [1, 84, 4913], 'euler19': [1, -110, 6859], 'euler2': [1, -3, 8], 'euler23': [1, -120, 12167], 'euler29': [1, -162, 24389], 'euler3': [1, 0, 0], 'euler31': [1, -236, 29791], 'euler37': [1, 376, 50653], 'euler41': [1, 126, 68921], 'euler43': [1, 34, 79507], 'euler47': [1, 6, 103823], 'euler5': [1, -5, 0], 'euler53': [1, -582, 148877], 'euler59': [1, -492, 205379], 'euler61': [1, 880, 226981], 'euler67': [1, 826, 300763], 'euler7': [1, -7, 0], 'euler71': [1, 666, 357911], 'euler73': [1, 826, 389017], 'euler79': [1, 592, 493039], 'euler83': [1, -792, 571787], 'euler89': [1, -1002, 704969], 'euler97': [1, -1442, 912673], 'euler_factors': [[1, -3, 8], [1, 0, 0], [1, -5, 0], [1, -7, 0], [1, -60, 1331], [1, -38, 2197], [1, 84, 4913], [1, -110, 6859], [1, -120, 12167], [1, -162, 24389], [1, -236, 29791], [1, 376, 50653], [1, 126, 68921], [1, 34, 79507], [1, 6, 103823], [1, -582, 148877], [1, -492, 205379], [1, 880, 226981], [1, 826, 300763], [1, 666, 357911], [1, 826, 389017], [1, 592, 493039], [1, -792, 571787], [1, -1002, 704969], [1, -1442, 912673]], 'id': 20363430, 'index': 12, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/315/4/a/e/1/1', 'ModularForm/GL2/Q/holomorphic/315/4/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': '2-315-1.1-c3-0-12', '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': '2-315-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 4.311102138874502, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 7513478356611133, 'z1': {'__RealLiteral__': 0, 'data': '1.26757353380453565560981955821', 'prec': 103}}