Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 0.7998163160193157, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 12544, 'conductor_radical': 14, 'degree': 4, 'dirichlet_coefficients': [1, 0, -1, 0, -1, 0, -4, 0, -1, 0, -3, 0, 0, 0, 1, 0, -1, 0, 1, 0, 4, 0, -1, 0, -7, 0, 0, 0, 4, 0, -5, 0, 3, 0, 4, 0, -7, 0, 0, 0, 0, 0, 4, 0, 1, 0, -3, 0, 9, 0, 1, 0, -3, 0, 3, 0, -1, 0, 7, 0, 11, 0, 4, 0, 0, 0, 17, 0, 1, 0, -8, 0, 3, 0, 7, 0, 12, 0, -17, 0, -4, 0, 4, 0, 1, 0, -4, 0, 3, 0, 0, 0, 5, 0, -1, 0, 0, 0, 3, 0], 'euler11': [1, 3, 2, 33, 121], 'euler13': [1, 0, 6, 0, 169], 'euler17': [1, 1, 12, 17, 289], 'euler19': [1, -1, -6, -19, 361], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 1, -22, 23, 529], 'euler29': [1, -4, 30, -116, 841], 'euler3': [1, 1, 2, 3, 9], 'euler31': [1, 5, 42, 155, 961], 'euler37': [1, 7, 36, 259, 1369], 'euler41': [1, 0, 30, 0, 1681], 'euler43': [1, -4, 6, -172, 1849], 'euler47': [1, 3, -6, 141, 2209], 'euler5': [1, 1, 8, 5, 25], 'euler53': [1, 3, -20, 159, 2809], 'euler59': [1, -7, 114, -413, 3481], 'euler61': [1, -11, 56, -671, 3721], 'euler67': [1, -17, 154, -1139, 4489], 'euler7': [1, 4, 7, 0, 0], 'euler71': [1, 8, 30, 568, 5041], 'euler73': [1, -3, -36, -219, 5329], 'euler79': [1, 17, 186, 1343, 6241], 'euler83': [1, -4, 38, -332, 6889], 'euler89': [1, -3, 44, -267, 7921], 'euler97': [1, 0, 110, 0, 9409], 'euler_factors': [[1, 0, 0, 0, 0], [1, 1, 2, 3, 9], [1, 1, 8, 5, 25], [1, 4, 7, 0, 0], [1, 3, 2, 33, 121], [1, 0, 6, 0, 169], [1, 1, 12, 17, 289], [1, -1, -6, -19, 361], [1, 1, -22, 23, 529], [1, -4, 30, -116, 841], [1, 5, 42, 155, 961], [1, 7, 36, 259, 1369], [1, 0, 30, 0, 1681], [1, -4, 6, -172, 1849], [1, 3, -6, 141, 2209], [1, 3, -20, 159, 2809], [1, -7, 114, -413, 3481], [1, -11, 56, -671, 3721], [1, -17, 154, -1139, 4489], [1, 8, 30, 568, 5041], [1, -3, -36, -219, 5329], [1, 17, 186, 1343, 6241], [1, -4, 38, -332, 6889], [1, -3, 44, -267, 7921], [1, 0, 110, 0, 9409]], 'id': 9402185, 'index': 15, 'instance_types': ['G2Q'], 'instance_urls': ['Genus2Curve/Q/12544/e'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': True, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-112e2-1.1-c1e2-0-15', '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': 1, 'prelabel': '4-112e2-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 0.9456873175835345, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1029275938529393352, 'z1': {'__RealLiteral__': 0, 'data': '2.4132536686', 'prec': 40}}