Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 0.04998851975120723, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 784, 'conductor_radical': 14, 'degree': 4, 'dirichlet_coefficients': [1, -1, -2, 1, 2, 2, 0, -1, -2, -2, -4, -2, -2, 0, -4, 1, 0, 2, 10, 2, 0, 4, 0, 2, -6, 2, 10, 0, 0, 4, 4, -1, 8, 0, 0, -2, 0, -10, 4, -2, 8, 0, 4, -4, -4, 0, -20, -2, 1, 6, 0, -2, 12, -10, -8, 0, -20, 0, -6, -4, 2, -4, 0, 1, -4, -8, -8, 0, 0, 0, -8, 2, 12, 0, 12, 10, 0, -4, 24, 2, -5, -8, 2, 0, 0, -4, 0, 4, -12, 4, 0, 0, -8, 20, 20, 2, -16, -1, 8, -6], 'euler11': [1, 4, 22, 44, 121], 'euler13': [1, 2, 18, 26, 169], 'euler17': [1, 0, -2, 0, 289], 'euler19': [1, -10, 54, -190, 361], 'euler2': [1, 1, 0, 0, 0], 'euler23': [1, 0, 46, 0, 529], 'euler29': [1, 0, 22, 0, 841], 'euler3': [1, 2, 6, 6, 9], 'euler31': [1, -4, 30, -124, 961], 'euler37': [1, 0, 70, 0, 1369], 'euler41': [1, -8, 94, -328, 1681], 'euler43': [1, -4, 54, -172, 1849], 'euler47': [1, 20, 190, 940, 2209], 'euler5': [1, -2, 10, -10, 25], 'euler53': [1, -12, 142, -636, 2809], 'euler59': [1, 6, 118, 354, 3481], 'euler61': [1, -2, 74, -122, 3721], 'euler67': [1, 8, 150, 536, 4489], 'euler7': [1, 0, -1, 0, 0], 'euler71': [1, 8, 142, 568, 5041], 'euler73': [1, -12, 166, -876, 5329], 'euler79': [1, -24, 286, -1896, 6241], 'euler83': [1, -2, 118, -166, 6889], 'euler89': [1, 12, 214, 1068, 7921], 'euler97': [1, 16, 254, 1552, 9409], 'euler_factors': [[1, 1, 0, 0, 0], [1, 2, 6, 6, 9], [1, -2, 10, -10, 25], [1, 0, -1, 0, 0], [1, 4, 22, 44, 121], [1, 2, 18, 26, 169], [1, 0, -2, 0, 289], [1, -10, 54, -190, 361], [1, 0, 46, 0, 529], [1, 0, 22, 0, 841], [1, -4, 30, -124, 961], [1, 0, 70, 0, 1369], [1, -8, 94, -328, 1681], [1, -4, 54, -172, 1849], [1, 20, 190, 940, 2209], [1, -12, 142, -636, 2809], [1, 6, 118, 354, 3481], [1, -2, 74, -122, 3721], [1, 8, 150, 536, 4489], [1, 8, 142, 568, 5041], [1, -12, 166, -876, 5329], [1, -24, 286, -1896, 6241], [1, -2, 118, -166, 6889], [1, 12, 214, 1068, 7921], [1, 16, 254, 1552, 9409]], 'id': 9398099, 'index': 0, 'instance_types': ['G2Q'], 'instance_urls': ['Genus2Curve/Q/784/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': '4-28e2-1.1-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': '4-28e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.47284365879176726, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 312369878683860827, 'z1': {'__RealLiteral__': 0, 'data': '2.79183800613', 'prec': 44}}