Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 70.80229200688878, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 1200, 'conductor_radical': 30, 'degree': 2, 'dirichlet_coefficients': [1, 0, 3, 0, 0, 0, 13, 0, 9, 0, -6, 0, 5, 0, 0, 0, -78, 0, -65, 0, 39, 0, -138, 0, 0, 0, 27, 0, 66, 0, -299, 0, -18, 0, 0, 0, -214, 0, 15, 0, 360, 0, -203, 0, 0, 0, -78, 0, -174, 0, -234, 0, 636, 0, 0, 0, -195, 0, -786, 0, 467, 0, 117, 0, 0, 0, 217, 0, -414, 0, 360, 0, -286, 0, 0, 0, -78, 0, -272, 0, 81, 0, -498, 0, 0, 0, 198, 0, 0, 0, 65, 0, -897, 0, 0, 0, -511, 0, -54, 0], 'euler11': [1, 6, 1331], 'euler13': [1, -5, 2197], 'euler17': [1, 78, 4913], 'euler19': [1, 65, 6859], 'euler2': [1, 0, 0], 'euler23': [1, 138, 12167], 'euler29': [1, -66, 24389], 'euler3': [1, -3, 0], 'euler31': [1, 299, 29791], 'euler37': [1, 214, 50653], 'euler41': [1, -360, 68921], 'euler43': [1, 203, 79507], 'euler47': [1, 78, 103823], 'euler5': [1, 0, 0], 'euler53': [1, -636, 148877], 'euler59': [1, 786, 205379], 'euler61': [1, -467, 226981], 'euler67': [1, -217, 300763], 'euler7': [1, -13, 343], 'euler71': [1, -360, 357911], 'euler73': [1, 286, 389017], 'euler79': [1, 272, 493039], 'euler83': [1, 498, 571787], 'euler89': [1, 0, 704969], 'euler97': [1, 511, 912673], 'euler_factors': [[1, 0, 0], [1, -3, 0], [1, 0, 0], [1, -13, 343], [1, 6, 1331], [1, -5, 2197], [1, 78, 4913], [1, 65, 6859], [1, 138, 12167], [1, -66, 24389], [1, 299, 29791], [1, 214, 50653], [1, -360, 68921], [1, 203, 79507], [1, 78, 103823], [1, -636, 148877], [1, 786, 205379], [1, -467, 226981], [1, -217, 300763], [1, -360, 357911], [1, 286, 389017], [1, 272, 493039], [1, 498, 571787], [1, 0, 704969], [1, 511, 912673]], 'id': 20166623, 'index': 54, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1200/4/a/bi/1/1', 'ModularForm/GL2/Q/holomorphic/1200/4/a/bi'], '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': '2-1200-1.1-c3-0-54', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-1200-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 8.414409783632408, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 427289506175585437, 'z1': {'__RealLiteral__': 0, 'data': '1.66105556554310891302434905547', 'prec': 103}}