Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 209676.67819583448, 'bad_primes': [2, 3, 5, 31], 'central_character': '1.1', 'conductor': 411830784000, 'conductor_radical': 930, 'degree': 6, 'dirichlet_coefficients': [1, 0, 3, 0, 3, 0, -2, 0, 6, 0, -2, 0, -4, 0, 9, 0, -12, 0, -4, 0, -6, 0, 10, 0, 6, 0, 10, 0, -6, 0, -3, 0, -6, 0, -6, 0, -20, 0, -12, 0, -10, 0, 4, 0, 18, 0, 4, 0, -11, 0, -36, 0, -10, 0, -6, 0, -12, 0, -2, 0, -4, 0, -12, 0, -12, 0, -6, 0, 30, 0, -10, 0, -6, 0, 18, 0, 4, 0, 8, 0, 15, 0, 8, 0, -36, 0, -18, 0, -16, 0, 8, 0, -9, 0, -12, 0, -6, 0, -12, 0], 'euler11': [1, 2, 17, 28, 187, 242, 1331], 'euler13': [1, 4, 37, 100, 481, 676, 2197], 'euler17': [1, 12, 99, 472, 1683, 3468, 4913], 'euler19': [1, 4, 1, -104, 19, 1444, 6859], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, -10, 73, -372, 1679, -5290, 12167], 'euler29': [1, 6, 33, 132, 957, 5046, 24389], 'euler3': [1, -3, 3, -1, 0, 0, 0], 'euler31': [1, 3, 3, 1, 0, 0, 0], 'euler37': [1, 20, 237, 1724, 8769, 27380, 50653], 'euler41': [1, 10, 127, 732, 5207, 16810, 68921], 'euler43': [1, -4, 65, -216, 2795, -7396, 79507], 'euler47': [1, -4, 129, -360, 6063, -8836, 103823], 'euler5': [1, -3, 3, -1, 0, 0, 0], 'euler53': [1, 10, 127, 708, 6731, 28090, 148877], 'euler59': [1, 2, 43, 420, 2537, 6962, 205379], 'euler61': [1, 4, 27, -200, 1647, 14884, 226981], 'euler67': [1, 6, 147, 588, 9849, 26934, 300763], 'euler7': [1, 2, 15, 20, 105, 98, 343], 'euler71': [1, 10, 111, 732, 7881, 50410, 357911], 'euler73': [1, 6, 197, 892, 14381, 31974, 389017], 'euler79': [1, -8, 193, -1280, 15247, -49928, 493039], 'euler83': [1, -8, 253, -1296, 20999, -55112, 571787], 'euler89': [1, 16, 161, 1316, 14329, 126736, 704969], 'euler97': [1, 6, 191, 820, 18527, 56454, 912673], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0], [1, -3, 3, -1, 0, 0, 0], [1, -3, 3, -1, 0, 0, 0], [1, 2, 15, 20, 105, 98, 343], [1, 2, 17, 28, 187, 242, 1331], [1, 4, 37, 100, 481, 676, 2197], [1, 12, 99, 472, 1683, 3468, 4913], [1, 4, 1, -104, 19, 1444, 6859], [1, -10, 73, -372, 1679, -5290, 12167], [1, 6, 33, 132, 957, 5046, 24389], [1, 3, 3, 1, 0, 0, 0], [1, 20, 237, 1724, 8769, 27380, 50653], [1, 10, 127, 732, 5207, 16810, 68921], [1, -4, 65, -216, 2795, -7396, 79507], [1, -4, 129, -360, 6063, -8836, 103823], [1, 10, 127, 708, 6731, 28090, 148877], [1, 2, 43, 420, 2537, 6962, 205379], [1, 4, 27, -200, 1647, 14884, 226981], [1, 6, 147, 588, 9849, 26934, 300763], [1, 10, 111, 732, 7881, 50410, 357911], [1, 6, 197, 892, 14381, 31974, 389017], [1, -8, 193, -1280, 15247, -49928, 493039], [1, -8, 253, -1296, 20999, -55112, 571787], [1, 16, 161, 1316, 14329, 126736, 704969], [1, 6, 191, 820, 18527, 56454, 912673]], 'id': 21863396, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7440/2/a/bv'], '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': '6-7440e3-1.1-c1e3-0-10', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 3, 'prelabel': '6-7440e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.707703880133994, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 2050874444207888339, 'z1': {'__RealLiteral__': 0, 'data': '1.41018763255481810499867960162', 'prec': 100}}