Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 477.2944672800165, 'bad_primes': [2, 3, 19], 'central_character': '1.1', 'conductor': 7485696, 'conductor_radical': 114, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, 2, 0, -6, 0, 0, 0, 4, 0, 1, 0, 0, 0, 6, 0, 8, 0, 0, 0, 4, 0, 5, 0, 0, 0, -2, 0, -14, 0, 0, 0, -12, 0, 2, 0, 0, 0, -8, 0, 7, 0, 0, 0, -8, 0, 13, 0, 0, 0, 8, 0, 8, 0, 0, 0, 12, 0, -5, 0, 0, 0, 2, 0, -9, 0, 0, 0, -2, 0, 15, 0, 0, 0, -24, 0, 11, 0, 0, 0, 12, 0, 12, 0, 0, 0, 0, 0, -6, 0, 0, 0, 16, 0, 14, 0, 0, 0], 'euler11': [1, -4, 26, -44, 121], 'euler13': [1, -1, -12, -13, 169], 'euler17': [1, -6, 19, -102, 289], 'euler19': [1, -8, 19, 0, 0], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, -4, -7, -92, 529], 'euler29': [1, 2, -25, 58, 841], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, 14, 111, 434, 961], 'euler37': [1, -2, 75, -74, 1369], 'euler41': [1, 8, 23, 328, 1681], 'euler43': [1, -7, 6, -301, 1849], 'euler47': [1, 8, 17, 376, 2209], 'euler5': [1, -2, -1, -10, 25], 'euler53': [1, -8, 11, -424, 2809], 'euler59': [1, -12, 85, -708, 3481], 'euler61': [1, 5, -36, 305, 3721], 'euler67': [1, 9, 14, 603, 4489], 'euler7': [1, 6, 23, 42, 49], 'euler71': [1, 2, -67, 142, 5041], 'euler73': [1, -15, 152, -1095, 5329], 'euler79': [1, -11, 42, -869, 6241], 'euler83': [1, -12, 202, -996, 6889], 'euler89': [1, 0, -89, 0, 7921], 'euler97': [1, -14, 99, -1358, 9409], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, -2, -1, -10, 25], [1, 6, 23, 42, 49], [1, -4, 26, -44, 121], [1, -1, -12, -13, 169], [1, -6, 19, -102, 289], [1, -8, 19, 0, 0], [1, -4, -7, -92, 529], [1, 2, -25, 58, 841], [1, 14, 111, 434, 961], [1, -2, 75, -74, 1369], [1, 8, 23, 328, 1681], [1, -7, 6, -301, 1849], [1, 8, 17, 376, 2209], [1, -8, 11, -424, 2809], [1, -12, 85, -708, 3481], [1, 5, -36, 305, 3721], [1, 9, 14, 603, 4489], [1, 2, -67, 142, 5041], [1, -15, 152, -1095, 5329], [1, -11, 42, -869, 6241], [1, -12, 202, -996, 6889], [1, 0, -89, 0, 7921], [1, -14, 99, -1358, 9409]], 'id': 23579175, 'index': 27, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2736/2/s/o'], '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': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-2736e2-1.1-c1e2-0-27', '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': '4-2736e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.67408493643647, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1046259808370964646, 'z1': {'__RealLiteral__': 0, 'data': '0.58593917508299354324145172196', 'prec': 103}}