Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 47.23226499125163, 'bad_primes': [2, 3, 19], 'central_character': '1.1', 'conductor': 740772, 'conductor_radical': 114, 'degree': 4, 'dirichlet_coefficients': [1, 2, 1, 3, 0, 2, -8, 4, 1, 0, 0, 3, 0, -16, 0, 5, 0, 2, 1, 0, -8, 0, 0, 4, -10, 0, 1, -24, 12, 0, 0, 6, 0, 0, 0, 3, 0, 2, 0, 0, 12, -16, -8, 0, 0, 0, 0, 5, 34, -20, 0, 0, 12, 2, 0, -32, 1, 24, -24, 0, 28, 0, -8, 7, 0, 0, 0, 0, 0, 0, 0, 4, 28, 0, -10, 3, 0, 0, 0, 0, 1, 24, 0, -24, 0, -16, 12, 0, -12, 0, 0, 0, 0, 0, 0, 6, 0, 68, 0, -30], 'euler11': [1, 0, 22, 0, 121], 'euler13': [1, 0, 10, 0, 169], 'euler17': [1, 0, -2, 0, 289], 'euler19': [1, -1, 0, 0, 0], 'euler2': [1, -2, 1, 0, 0], 'euler23': [1, 0, 10, 0, 529], 'euler29': [1, -12, 94, -348, 841], 'euler3': [1, -1, 0, 0, 0], 'euler31': [1, 0, 58, 0, 961], 'euler37': [1, 0, 58, 0, 1369], 'euler41': [1, -12, 118, -492, 1681], 'euler43': [1, 8, 102, 344, 1849], 'euler47': [1, 0, 58, 0, 2209], 'euler5': [1, 0, 10, 0, 25], 'euler53': [1, -12, 142, -636, 2809], 'euler59': [1, 24, 262, 1416, 3481], 'euler61': [1, -28, 318, -1708, 3721], 'euler67': [1, 0, 70, 0, 4489], 'euler7': [1, 8, 30, 56, 49], 'euler71': [1, 0, 142, 0, 5041], 'euler73': [1, -28, 342, -2044, 5329], 'euler79': [1, 0, 58, 0, 6241], 'euler83': [1, 0, 22, 0, 6889], 'euler89': [1, 12, 214, 1068, 7921], 'euler97': [1, 0, 94, 0, 9409], 'euler_factors': [[1, -2, 1, 0, 0], [1, -1, 0, 0, 0], [1, 0, 10, 0, 25], [1, 8, 30, 56, 49], [1, 0, 22, 0, 121], [1, 0, 10, 0, 169], [1, 0, -2, 0, 289], [1, -1, 0, 0, 0], [1, 0, 10, 0, 529], [1, -12, 94, -348, 841], [1, 0, 58, 0, 961], [1, 0, 58, 0, 1369], [1, -12, 118, -492, 1681], [1, 8, 102, 344, 1849], [1, 0, 58, 0, 2209], [1, -12, 142, -636, 2809], [1, 24, 262, 1416, 3481], [1, -28, 318, -1708, 3721], [1, 0, 70, 0, 4489], [1, 0, 142, 0, 5041], [1, -28, 342, -2044, 5329], [1, 0, 58, 0, 6241], [1, 0, 22, 0, 6889], [1, 12, 214, 1068, 7921], [1, 0, 94, 0, 9409]], 'id': 9515319, 'index': 2, 'instance_types': ['HMF', 'ECNF'], 'instance_urls': ['ModularForm/GL2/TotallyReal/2.2.57.1/holomorphic/2.2.57.1-228.1-h', 'EllipticCurve/2.2.57.1/228.1/h'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': False, 'is_instance_ECNF': True, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': True, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-740772-1.1-c1e2-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 0, 'prelabel': '4-740772-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.621559343081027, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1714777017372120298, 'z1': {'__RealLiteral__': 0, 'data': '0.71601333078884782271989244338836', 'prec': 113}}