Formats: - HTML - YAML - JSON - 2025-12-07T03:43:45.844353
Query: /api/lfunc_search/?_offset=0
Show schema

{'algebraic': True, 'analytic_conductor': 292.5453147140025, 'bad_primes': [2, 3, 7, 17], 'central_character': '1.1', 'conductor': 4588164, 'conductor_radical': 714, 'degree': 4, 'dirichlet_coefficients': [1, 2, 0, 3, 4, 0, 2, 4, 0, 8, 4, 0, 0, 4, 0, 5, 2, 0, 4, 12, 0, 8, 0, 0, 2, 0, 0, 6, 0, 0, 4, 6, 0, 4, 8, 0, 8, 8, 0, 16, 0, 0, 0, 12, 0, 0, -8, 0, 3, 4, 0, 0, -4, 0, 16, 8, 0, 0, 4, 0, -4, 8, 0, 7, 0, 0, -8, 6, 0, 16, -16, 0, 16, 16, 0, 12, 8, 0, 16, 20, 0, 0, -4, 0, 8, 0, 0, 16, -12, 0, 0, 0, 0, -16, 16, 0, 4, 6, 0, 6], 'euler11': [1, -4, 16, -44, 121], 'euler13': [1, 0, 16, 0, 169], 'euler17': [1, -2, 1, 0, 0], 'euler19': [1, -4, 32, -76, 361], 'euler2': [1, -2, 1, 0, 0], 'euler23': [1, 0, 46, 0, 529], 'euler29': [1, 0, -32, 0, 841], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, -4, 26, -124, 961], 'euler37': [1, -8, 80, -296, 1369], 'euler41': [1, 0, 82, 0, 1681], 'euler43': [1, 0, 86, 0, 1849], 'euler47': [1, 8, 110, 376, 2209], 'euler5': [1, -4, 14, -20, 25], 'euler53': [1, 4, 110, 212, 2809], 'euler59': [1, -4, 112, -236, 3481], 'euler61': [1, 4, -34, 244, 3721], 'euler67': [1, 8, 110, 536, 4489], 'euler7': [1, -2, 1, 0, 0], 'euler71': [1, 16, 166, 1136, 5041], 'euler73': [1, -16, 210, -1168, 5329], 'euler79': [1, -16, 182, -1264, 6241], 'euler83': [1, 4, -80, 332, 6889], 'euler89': [1, 12, 174, 1068, 7921], 'euler97': [1, -4, 38, -388, 9409], 'euler_factors': [[1, -2, 1, 0, 0], [1, 0, 0, 0, 0], [1, -4, 14, -20, 25], [1, -2, 1, 0, 0], [1, -4, 16, -44, 121], [1, 0, 16, 0, 169], [1, -2, 1, 0, 0], [1, -4, 32, -76, 361], [1, 0, 46, 0, 529], [1, 0, -32, 0, 841], [1, -4, 26, -124, 961], [1, -8, 80, -296, 1369], [1, 0, 82, 0, 1681], [1, 0, 86, 0, 1849], [1, 8, 110, 376, 2209], [1, 4, 110, 212, 2809], [1, -4, 112, -236, 3481], [1, 4, -34, 244, 3721], [1, 8, 110, 536, 4489], [1, 16, 166, 1136, 5041], [1, -16, 210, -1168, 5329], [1, -16, 182, -1264, 6241], [1, 4, -80, 332, 6889], [1, 12, 174, 1068, 7921], [1, -4, 38, -388, 9409]], 'id': 20377616, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2142/2/a/ba'], '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': '4-2142e2-1.1-c1e2-0-10', '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': 0, 'prelabel': '4-2142e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.13569294229616, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 230503920047056191, 'z1': {'__RealLiteral__': 0, 'data': '1.21008405321955923840890489064', 'prec': 103}}