Formats: - HTML - YAML - JSON - 2026-09-11T04:38:19.449124
  • lfunc_lfunctions • Show schema
    {'Lhash': '703154799678472311630020662665', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-3.119026675525919, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [4.509725948409572, 0.0], 'a8': [0.0, 0.0], 'a9': [6.728327402642266, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 73.46236985957799, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 23], 'central_character': '9200.1', 'coefficient_field': 'CDF', 'conductor': 9200, 'conductor_radical': 230, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [3.119026675525919, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-4.509725948409572, 0], [7.0, 0]], [[1.0, 0], [4.337628129758613, 0], [11.0, 0]], [[1.0, 0], [-3.728327402642266, 0], [13.0, 0]], [[1.0, 0], [1.1190266755259188, 0], [17.0, 0]], [[1.0, 0], [4.509725948409572, 0], [19.0, 0]], [[1.0, 0], 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'6.15261643595461727031474844747448', '6.95279817218185206939090462295776', '7.72425662748401041618429419787391'], 'prelabel': '2-9200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.55469133178485888853076162720', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.57305575735834759362924376693', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.25767281119315646884215174556', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 73.46236985957799, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 9200, 'conductor_radical': 230, 'degree': 2, 'index': 37, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9200/2/a/cf/1/1'], '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': '2-9200-1.1-c1-0-37', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-9200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.55469133178485888853076162720', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '703154799678472311630020662665', 'Lhash_array': ['703154799678472311630020662665'], 'factors': ['2-9200-1.1-c1-0-37'], 'label': '2-9200-1.1-c1-0-37', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9200/2/a/cf/1/1'}