Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 0.9188578547635808, 'bad_primes': [14411], 'central_character': '1.1', 'conductor': 14411, 'conductor_radical': 14411, 'degree': 4, 'dirichlet_coefficients': [1, 1, 1, 1, -1, 1, -1, 3, -1, -1, 2, 1, 0, -1, -1, 1, 0, -1, 0, -1, -1, 2, 0, 3, 1, 0, 0, -1, -2, -1, -9, -1, 2, 0, 1, -1, -6, 0, 0, -3, -4, -1, 12, 2, 1, 0, -4, 1, 3, 1, 0, 0, 6, 0, -2, -3, 0, -2, 0, -1, -11, -9, 1, 1, 0, 2, 12, 0, 0, 1, -9, -3, 6, -6, 1, 0, -2, 0, -7, -1, -4, -4, -8, -1, 0, 12, -2, 6, -4, 1, 0, 0, -9, -4, 0, -1, 8, 3, -2, 1], 'euler11': [1, -2, 22, -22, 121], 'euler13': [1, 0, 14, 0, 169], 'euler17': [1, 0, -10, 0, 289], 'euler19': [1, 0, 10, 0, 361], 'euler2': [1, -1, 0, -2, 4], 'euler23': [1, 0, -18, 0, 529], 'euler29': [1, 2, 42, 58, 841], 'euler3': [1, -1, 2, -3, 9], 'euler31': [1, 9, 46, 279, 961], 'euler37': [1, 6, 50, 222, 1369], 'euler41': [1, 4, 70, 164, 1681], 'euler43': [1, -12, 86, -516, 1849], 'euler47': [1, 4, 14, 188, 2209], 'euler5': [1, 1, 0, 5, 25], 'euler53': [1, -6, 2, -318, 2809], 'euler59': [1, 0, -98, 0, 3481], 'euler61': [1, 11, 96, 671, 3721], 'euler67': [1, -12, 154, -804, 4489], 'euler7': [1, 1, -2, 7, 49], 'euler71': [1, 9, 102, 639, 5041], 'euler73': [1, -6, 18, -438, 5329], 'euler79': [1, 7, -2, 553, 6241], 'euler83': [1, 8, 22, 664, 6889], 'euler89': [1, 4, 14, 356, 7921], 'euler97': [1, -8, 86, -776, 9409], 'euler_factors': [[1, -1, 0, -2, 4], [1, -1, 2, -3, 9], [1, 1, 0, 5, 25], [1, 1, -2, 7, 49], [1, -2, 22, -22, 121], [1, 0, 14, 0, 169], [1, 0, -10, 0, 289], [1, 0, 10, 0, 361], [1, 0, -18, 0, 529], [1, 2, 42, 58, 841], [1, 9, 46, 279, 961], [1, 6, 50, 222, 1369], [1, 4, 70, 164, 1681], [1, -12, 86, -516, 1849], [1, 4, 14, 188, 2209], [1, -6, 2, -318, 2809], [1, 0, -98, 0, 3481], [1, 11, 96, 671, 3721], [1, -12, 154, -804, 4489], [1, 9, 102, 639, 5041], [1, -6, 18, -438, 5329], [1, 7, -2, 553, 6241], [1, 8, 22, 664, 6889], [1, 4, 14, 356, 7921], [1, -8, 86, -776, 9409]], 'id': 9402890, 'index': 0, 'instance_types': ['G2Q'], 'instance_urls': ['Genus2Curve/Q/14411/a'], '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': '4-14411-1.1-c1e2-0-0', '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': '4-14411-1.1-c1e2-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 0.9790662568994526, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 51744931218078059, 'z1': {'__RealLiteral__': 0, 'data': '1.86718229714', 'prec': 44}}