Formats: - HTML - YAML - JSON - 2026-09-22T23:37:20.365817
  • lfunc_lfunctions • Show schema
    {'Lhash': '2987274643542592046004886282110', 'a10': [0.0, 0.0], 'a2': [15.135528725660043, 0.0], 'a3': [-27.0, 0.0], 'a4': [101.08422980528034, 0.0], 'a5': [0.0, 0.0], 'a6': [-408.6592755928212, 0.0], 'a7': [198.8974021592406, 0.0], 'a8': [-407.3844129554437, 0.0], 'a9': [729.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.428876911309143, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 7}, 'bad_lfactors': [[3, [[1.0, 0], [27.0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5], 'central_character': '75.1', 'coefficient_field': 'CDF', 'conductor': 75, 'conductor_radical': 15, 'degree': 2, 'euler_factors': [[[1.0, 0], [-15.135528725660043, 0], [128.0, 0]], [[1.0, 0], [27.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-198.8974021592406, 0], [823543.0, 0]], [[1.0, 0], [5268.050641025572, 0], [19487171.0, 0]], [[1.0, 0], [-1212.883497204627, 0], [62748517.0, 0]], [[1.0, 0], [34583.5184837087, 0], [410338673.0, 0]], [[1.0, 0], 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 23.428876911309143, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 75, 'conductor_radical': 15, 'degree': 2, 'index': 20, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/75/8/a/f/1/2'], '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': '2-75-1.1-c7-0-20', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [7], 'order_of_vanishing': 1, 'prelabel': '2-75-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.84033851205772, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '2.35654417944878452968724239249', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2987274643542592046004886282110', 'Lhash_array': ['2987274643542592046004886282110'], 'factors': ['2-75-1.1-c7-0-20'], 'label': '2-75-1.1-c7-0-20', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/75/8/a/f/1/2'}