Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 11.734613728994807, 'bad_primes': [3, 11, 13], 'central_character': '1.1', 'conductor': 184041, 'conductor_radical': 429, 'degree': 4, 'dirichlet_coefficients': [1, 0, -2, -3, 0, 0, 0, 0, 3, 0, 0, 6, -2, 0, 0, 5, -4, 0, 0, 0, 0, 0, 16, 0, -6, 0, -4, 0, -12, 0, 0, 0, 0, 0, 0, -9, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -10, 2, 0, 8, 6, 12, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -3, 0, 0, 0, 12, -32, 0, 0, 0, 0, 0, 12, 0, 0, 0, -8, 0, 5, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 18], 'euler11': [1, 0, -1, 0, 0], 'euler13': [1, 2, 13, 0, 0], 'euler17': [1, 4, 38, 68, 289], 'euler19': [1, 0, 38, 0, 361], 'euler2': [1, 0, 3, 0, 4], 'euler23': [1, -16, 110, -368, 529], 'euler29': [1, 12, 94, 348, 841], 'euler3': [1, 2, 1, 0, 0], 'euler31': [1, 0, -2, 0, 961], 'euler37': [1, 0, 38, 0, 1369], 'euler41': [1, 0, 78, 0, 1681], 'euler43': [1, 0, 86, 0, 1849], 'euler47': [1, 0, 30, 0, 2209], 'euler5': [1, 0, 6, 0, 25], 'euler53': [1, -12, 142, -636, 2809], 'euler59': [1, 0, 102, 0, 3481], 'euler61': [1, -12, 158, -732, 3721], 'euler67': [1, 0, 118, 0, 4489], 'euler7': [1, 0, -2, 0, 49], 'euler71': [1, 0, 142, 0, 5041], 'euler73': [1, 0, -50, 0, 5329], 'euler79': [1, 8, 174, 632, 6241], 'euler83': [1, 0, 22, 0, 6889], 'euler89': [1, 0, 142, 0, 7921], 'euler97': [1, 0, 190, 0, 9409], 'euler_factors': [[1, 0, 3, 0, 4], [1, 2, 1, 0, 0], [1, 0, 6, 0, 25], [1, 0, -2, 0, 49], [1, 0, -1, 0, 0], [1, 2, 13, 0, 0], [1, 4, 38, 68, 289], [1, 0, 38, 0, 361], [1, -16, 110, -368, 529], [1, 12, 94, 348, 841], [1, 0, -2, 0, 961], [1, 0, 38, 0, 1369], [1, 0, 78, 0, 1681], [1, 0, 86, 0, 1849], [1, 0, 30, 0, 2209], [1, -12, 142, -636, 2809], [1, 0, 102, 0, 3481], [1, -12, 158, -732, 3721], [1, 0, 118, 0, 4489], [1, 0, 142, 0, 5041], [1, 0, -50, 0, 5329], [1, 8, 174, 632, 6241], [1, 0, 22, 0, 6889], [1, 0, 142, 0, 7921], [1, 0, 190, 0, 9409]], 'id': 9443428, 'index': 2, 'instance_types': ['HMF', 'ECNF'], 'instance_urls': ['ModularForm/GL2/TotallyReal/2.2.13.1/holomorphic/2.2.13.1-1089.1-d', 'EllipticCurve/2.2.13.1/1089.1/d'], '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': '4-429e2-1.1-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': 1, 'prelabel': '4-429e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.8508328521811284, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1562487932856054616, 'z1': {'__RealLiteral__': 0, 'data': '1.01190903051797145927138124184629', 'prec': 113}}