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lfunc_lfunctions • Show schema
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{'Lhash': '561250075475877684185714802589', 'a10': [9692.933757858078, 0.0], 'a2': [17.858376416077448, 0.0], 'a3': [-263.9460210430822, 0.0], 'a4': [-193.0783917816888, 0.0], 'a5': [542.7667964895046, 0.0], 'a6': [-4713.647397313262, 0.0], 'a7': [-12329.898445434894, 0.0], 'a8': [-12591.555323279927, 0.0], 'a9': [49984.502024475216, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 22.14654095504655, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[43, [[1.0, 0], [-3418801.0, 0]]]], 'bad_primes': [43], 'central_character': '43.1', 'coefficient_field': 'CDF', 'conductor': 43, 'conductor_radical': 43, 'degree': 2, 'euler_factors': [[[1.0, 0], [-17.858376416077448, 0], [512.0, 0]], [[1.0, 0], [263.9460210430822, 0], [19683.0, 0]], [[1.0, 0], [-542.7667964895046, 0], [1953125.0, 0]], [[1.0, 0], [12329.898445434894, 0], [40353607.0, 0]], [[1.0, 0], [62214.21424539675, 0], [2357947691.0, 0]], [[1.0, 0], [1612.6981289417845, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 22.14654095504655, 'bad_primes': [43], 'central_character': '1.1', 'conductor': 43, 'conductor_radical': 43, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/43/10/a/b/1/11'], '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': '2-43-1.1-c9-0-2', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-43-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.706011151181705, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.44274824259526206808443981652', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '561250075475877684185714802589', 'Lhash_array': ['561250075475877684185714802589'], 'label': '2-43-1.1-c9-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/43/10/a/b/1/11'}