Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 0.010775586528002578, 'bad_primes': [13], 'central_character': '1.1', 'conductor': 169, 'conductor_radical': 13, 'degree': 4, 'dirichlet_coefficients': [1, -3, -2, 4, 0, 6, 0, -3, 3, 0, 0, -8, -5, 0, 0, 3, 3, -9, -6, 0, 0, 0, 6, 6, 7, 15, -10, 0, -3, 0, 0, -6, 0, -9, 0, 12, 15, 18, 10, 0, -9, 0, -8, 0, 0, -18, 0, -6, -7, -21, -6, -20, -6, 30, 0, 0, 12, 9, 12, 0, -1, 0, 0, 5, 0, 0, 6, 12, -12, 0, 6, -9, 0, -45, -14, -24, 0, -30, 8, 0, 20, 27, 0, 0, 0, 24, 6, 0, -12, 0, 0, 24, 0, 0, 0, 12, 12, 21, 0, 28], 'euler11': [1, 0, 11, 0, 121], 'euler13': [1, 5, 13, 0, 0], 'euler17': [1, -3, -8, -51, 289], 'euler19': [1, 6, 31, 114, 361], 'euler2': [1, 3, 5, 6, 4], 'euler23': [1, -6, 13, -138, 529], 'euler29': [1, 3, -20, 87, 841], 'euler3': [1, 2, 1, 6, 9], 'euler31': [1, 0, -50, 0, 961], 'euler37': [1, -15, 112, -555, 1369], 'euler41': [1, 9, 68, 369, 1681], 'euler43': [1, 8, 21, 344, 1849], 'euler47': [1, 0, -82, 0, 2209], 'euler5': [1, 0, -7, 0, 25], 'euler53': [1, 6, 115, 318, 2809], 'euler59': [1, -12, 107, -708, 3481], 'euler61': [1, 1, -60, 61, 3721], 'euler67': [1, -6, 79, -402, 4489], 'euler7': [1, 0, 7, 0, 49], 'euler71': [1, -6, 83, -426, 5041], 'euler73': [1, 0, -143, 0, 5329], 'euler79': [1, -8, 174, -632, 6241], 'euler83': [1, 0, 26, 0, 6889], 'euler89': [1, 12, 137, 1068, 7921], 'euler97': [1, -12, 145, -1164, 9409], 'euler_factors': [[1, 3, 5, 6, 4], [1, 2, 1, 6, 9], [1, 0, -7, 0, 25], [1, 0, 7, 0, 49], [1, 0, 11, 0, 121], [1, 5, 13, 0, 0], [1, -3, -8, -51, 289], [1, 6, 31, 114, 361], [1, -6, 13, -138, 529], [1, 3, -20, 87, 841], [1, 0, -50, 0, 961], [1, -15, 112, -555, 1369], [1, 9, 68, 369, 1681], [1, 8, 21, 344, 1849], [1, 0, -82, 0, 2209], [1, 6, 115, 318, 2809], [1, -12, 107, -708, 3481], [1, 1, -60, 61, 3721], [1, -6, 79, -402, 4489], [1, -6, 83, -426, 5041], [1, 0, -143, 0, 5329], [1, -8, 174, -632, 6241], [1, 0, 26, 0, 6889], [1, 12, 137, 1068, 7921], [1, -12, 145, -1164, 9409]], 'id': 9589453, 'index': 0, 'instance_types': ['G2Q', 'CMF'], 'instance_urls': ['Genus2Curve/Q/169/a', 'ModularForm/GL2/Q/holomorphic/13/2/e/a'], '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': True, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-13e2-1.1-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': '4-13e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.3221886444734894, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1456780685049277288, 'z1': {'__RealLiteral__': 0, 'data': '5.06823463540602925038855173519', 'prec': 103}}