Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 35.69615555347309, 'bad_primes': [5, 11], 'central_character': '1.1', 'conductor': 605, 'conductor_radical': 55, 'degree': 2, 'dirichlet_coefficients': [1, 4, 2, 8, -5, 8, -6, 0, -23, -20, 0, 16, 38, -24, -10, -64, -26, -92, -100, -40, -12, 0, -78, 0, 25, 152, -100, -48, 50, -40, -108, -256, 0, -104, 30, -184, 266, -400, 76, 0, -22, -48, -442, 0, 115, -312, -514, -128, -307, 100, -52, 304, 2, -400, 0, 0, -200, 200, 500, -80, 518, -432, 138, -512, -190, 0, 126, -208, -156, 120, 412, 0, 878, 1064, 50, -800, 0, 304, -600, 320, 421, -88, -282, -96, 130, -1768, 100, 0, -150, 460, -228, -624, -216, -2056, 500, -512, 386, -1228, 0, 200], 'euler11': [1, 0, 0], 'euler13': [1, -38, 2197], 'euler17': [1, 26, 4913], 'euler19': [1, 100, 6859], 'euler2': [1, -4, 8], 'euler23': [1, 78, 12167], 'euler29': [1, -50, 24389], 'euler3': [1, -2, 27], 'euler31': [1, 108, 29791], 'euler37': [1, -266, 50653], 'euler41': [1, 22, 68921], 'euler43': [1, 442, 79507], 'euler47': [1, 514, 103823], 'euler5': [1, 5, 0], 'euler53': [1, -2, 148877], 'euler59': [1, -500, 205379], 'euler61': [1, -518, 226981], 'euler67': [1, -126, 300763], 'euler7': [1, 6, 343], 'euler71': [1, -412, 357911], 'euler73': [1, -878, 389017], 'euler79': [1, 600, 493039], 'euler83': [1, 282, 571787], 'euler89': [1, 150, 704969], 'euler97': [1, -386, 912673], 'euler_factors': [[1, -4, 8], [1, -2, 27], [1, 5, 0], [1, 6, 343], [1, 0, 0], [1, -38, 2197], [1, 26, 4913], [1, 100, 6859], [1, 78, 12167], [1, -50, 24389], [1, 108, 29791], [1, -266, 50653], [1, 22, 68921], [1, 442, 79507], [1, 514, 103823], [1, -2, 148877], [1, -500, 205379], [1, -518, 226981], [1, -126, 300763], [1, -412, 357911], [1, -878, 389017], [1, 600, 493039], [1, 282, 571787], [1, 150, 704969], [1, -386, 912673]], 'id': 20365320, 'index': 104, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/605/4/a/d/1/1', 'ModularForm/GL2/Q/holomorphic/605/4/a/d'], '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': '2-605-1.1-c3-0-104', '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': '2-605-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 5.974625976031729, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 330689644069627011, 'z1': {'__RealLiteral__': 0, 'data': '2.20888740482190146568794437978', 'prec': 103}}