Formats: - HTML - YAML - JSON - 2026-01-01T21:38:04.729308
Query: /api/lfunc_search/?_offset=0
Show schema

{'algebraic': True, 'analytic_conductor': 8.401705687623501, 'bad_primes': [3, 11], 'central_character': '1.1', 'conductor': 131769, 'conductor_radical': 33, 'degree': 4, 'dirichlet_coefficients': [1, 0, -2, -1, -6, 0, 0, 0, 3, 0, 0, 2, 0, 0, 12, -3, 0, 0, 0, 6, 0, 0, -12, 0, 17, 0, -4, 0, 0, 0, 8, 0, 0, 0, 0, -3, -22, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 6, -2, 0, 0, 0, -18, 0, 0, 0, 0, 0, -12, -12, 0, 0, 0, 7, 0, 0, -4, 0, 24, 0, -12, 0, 0, 0, -34, 0, 0, 0, 0, 18, 5, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 12, -16, 0, 0, 0, -14, 0, 0, -17], 'euler11': [1, 0, 0, 0, 0], 'euler13': [1, 0, 23, 0, 169], 'euler17': [1, 0, 31, 0, 289], 'euler19': [1, 0, -10, 0, 361], 'euler2': [1, 0, 1, 0, 4], 'euler23': [1, 12, 82, 276, 529], 'euler29': [1, 0, 55, 0, 841], 'euler3': [1, 2, 1, 0, 0], 'euler31': [1, -8, 78, -248, 961], 'euler37': [1, 22, 195, 814, 1369], 'euler41': [1, 0, 79, 0, 1681], 'euler43': [1, 0, 74, 0, 1849], 'euler47': [1, 0, 94, 0, 2209], 'euler5': [1, 6, 19, 30, 25], 'euler53': [1, 18, 187, 954, 2809], 'euler59': [1, 12, 154, 708, 3481], 'euler61': [1, 0, 122, 0, 3721], 'euler67': [1, 4, 138, 268, 4489], 'euler7': [1, 0, 2, 0, 49], 'euler71': [1, 12, 178, 852, 5041], 'euler73': [1, 0, 98, 0, 5329], 'euler79': [1, 0, 158, 0, 6241], 'euler83': [1, 0, 166, 0, 6889], 'euler89': [1, -18, 259, -1602, 7921], 'euler97': [1, 14, 243, 1358, 9409], 'euler_factors': [[1, 0, 1, 0, 4], [1, 2, 1, 0, 0], [1, 6, 19, 30, 25], [1, 0, 2, 0, 49], [1, 0, 0, 0, 0], [1, 0, 23, 0, 169], [1, 0, 31, 0, 289], [1, 0, -10, 0, 361], [1, 12, 82, 276, 529], [1, 0, 55, 0, 841], [1, -8, 78, -248, 961], [1, 22, 195, 814, 1369], [1, 0, 79, 0, 1681], [1, 0, 74, 0, 1849], [1, 0, 94, 0, 2209], [1, 18, 187, 954, 2809], [1, 12, 154, 708, 3481], [1, 0, 122, 0, 3721], [1, 4, 138, 268, 4489], [1, 12, 178, 852, 5041], [1, 0, 98, 0, 5329], [1, 0, 158, 0, 6241], [1, 0, 166, 0, 6889], [1, -18, 259, -1602, 7921], [1, 14, 243, 1358, 9409]], 'id': 10052286, 'index': 14, 'instance_types': ['BMF', 'ECNF', 'CMF'], 'instance_urls': ['ModularForm/GL2/ImaginaryQuadratic/2.0.11.1/1089.2/a', 'EllipticCurve/2.0.11.1/1089.2/a', 'ModularForm/GL2/Q/holomorphic/363/2/a/f'], 'is_instance_Artin': False, 'is_instance_BMF': True, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': True, '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': '4-363e2-1.1-c1e2-0-14', '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': 2, 'prelabel': '4-363e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.7025186029446138, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1059301991538034721, 'z1': {'__RealLiteral__': 0, 'data': '1.70975558990753806142579652840', 'prec': 103}}