Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 106.20343801033316, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 1800, 'conductor_radical': 30, 'degree': 2, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, -20, 0, 0, 0, 56, 0, 86, 0, 0, 0, -106, 0, 4, 0, 0, 0, 136, 0, 0, 0, 0, 0, 206, 0, -152, 0, 0, 0, 0, 0, -282, 0, 0, 0, 246, 0, -412, 0, 0, 0, 40, 0, 57, 0, 0, 0, -126, 0, 0, 0, 0, 0, -56, 0, -2, 0, 0, 0, 0, 0, 388, 0, 0, 0, 672, 0, -1170, 0, 0, 0, -1120, 0, 408, 0, 0, 0, 668, 0, 0, 0, 0, 0, -66, 0, -1720, 0, 0, 0, 0, 0, 926, 0, 0, 0], 'euler11': [1, -56, 1331], 'euler13': [1, -86, 2197], 'euler17': [1, 106, 4913], 'euler19': [1, -4, 6859], 'euler2': [1, 0, 0], 'euler23': [1, -136, 12167], 'euler29': [1, -206, 24389], 'euler3': [1, 0, 0], 'euler31': [1, 152, 29791], 'euler37': [1, 282, 50653], 'euler41': [1, -246, 68921], 'euler43': [1, 412, 79507], 'euler47': [1, -40, 103823], 'euler5': [1, 0, 0], 'euler53': [1, 126, 148877], 'euler59': [1, 56, 205379], 'euler61': [1, 2, 226981], 'euler67': [1, -388, 300763], 'euler7': [1, 20, 343], 'euler71': [1, -672, 357911], 'euler73': [1, 1170, 389017], 'euler79': [1, -408, 493039], 'euler83': [1, -668, 571787], 'euler89': [1, 66, 704969], 'euler97': [1, -926, 912673], 'euler_factors': [[1, 0, 0], [1, 0, 0], [1, 0, 0], [1, 20, 343], [1, -56, 1331], [1, -86, 2197], [1, 106, 4913], [1, -4, 6859], [1, -136, 12167], [1, -206, 24389], [1, 152, 29791], [1, 282, 50653], [1, -246, 68921], [1, 412, 79507], [1, -40, 103823], [1, 126, 148877], [1, 56, 205379], [1, 2, 226981], [1, -388, 300763], [1, -672, 357911], [1, 1170, 389017], [1, -408, 493039], [1, -668, 571787], [1, 66, 704969], [1, -926, 912673]], 'id': 20924185, 'index': 19, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1800/4/a/f/1/1', 'ModularForm/GL2/Q/holomorphic/1800/4/a/f'], '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': '2-1800-1.1-c3-0-19', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-1800-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 10.305505228291, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 1467563051338596638, 'z1': {'__RealLiteral__': 0, 'data': '0.71893256481158632138902772625', 'prec': 103}}