Formats: - HTML - YAML - JSON - 2026-09-20T17:57:27.118251
  • lfunc_lfunctions • Show schema
    {'Lhash': '694400822100034305229442803740', 'a10': [4.0, -6.223015277861142e-61], 'a2': [-0.5, 0.8660254037844386], 'a3': [1.5, 0.8660254037844386], 'a4': [-0.5, -0.8660254037844386], 'a5': [-2.0, -3.4641016151377544], 'a6': [-1.5, 0.8660254037844386], 'a7': [-2.0, 3.4641016151377544], 'a8': [1.0, 0.0], 'a9': [1.5, 2.598076211353316], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.168190985510838, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0.5, -0.8660254037844386]]], [3, [[1.0, 0], [-1.5, -0.8660254037844386]]], [29, [[1.0, 0], [-0.5, 0.8660254037844386]]]], 'bad_primes': [2, 3, 29], 'central_character': '522.349', 'coefficient_field': 'CDF', 'conductor': 522, 'conductor_radical': 174, 'conjugate': '2428555383267229048189107361440', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [-1.5, -0.8660254037844386]], [[1.0, 0], [2.0, 3.4641016151377544], [-2.5, 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 4.168190985510838, 'bad_primes': [2, 3, 29], 'central_character': '9.7', 'conductor': 522, 'conductor_radical': 174, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/522/2/e/b/349/1'], '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': '2-522-9.7-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-522-9.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.041614798513872, 'root_angle': -0.3888888888888889, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.54778566110804784192606160938', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '694400822100034305229442803740', 'Lhash_array': ['694400822100034305229442803740'], 'factors': ['2-522-9.7-c1-0-1'], 'label': '2-522-9.7-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/522/2/e/b/349/1'}