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lfunc_lfunctions • Show schema
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{'Lhash': '2539721011853436489987912377792', 'a10': [2.2002033845223714, -2.271366343577429], 'a2': [-1.2229361366400364, 0.7102303891695583], 'a3': [-0.7071067811865476, -0.7071067811865476], 'a4': [0.9911455886001155, -1.7371328165107385], 'a5': [-2.151950814517878, 0.6075423375336418], 'a6': [1.3669551595628033, 0.3625377107896926], 'a7': [2.252862188523152, 0.0], 'a8': [0.021656759339192568, 2.8283442125694185], 'a9': [0.0, 1.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.9164096485107303, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.2229361366400364, -0.7102303891695583]]], [3, [[1.0, 0], [0.7071067811865476, 0.7071067811865476]]], [5, [[1.0, 0], [2.151950814517878, -0.6075423375336418]]]], 'bad_primes': [2, 3, 5], 'central_character': '240.229', 'coefficient_field': 'CDF', 'conductor': 240, 'conductor_radical': 30, 'conjugate': '471421569581633598973047683948', 'degree': 2, 'euler_factors': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.9164096485107303, 'bad_primes': [2, 3, 5], 'central_character': '80.69', 'conductor': 240, 'conductor_radical': 30, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/240/2/bl/a/229/4'], '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': '2-240-80.69-c1-0-15', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-240-80.69-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.384344483324411, 'root_angle': 0.3087487039043113, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.00348661641952596292371807994', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2539721011853436489987912377792', 'Lhash_array': ['2539721011853436489987912377792'], 'label': '2-240-80.69-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/240/2/bl/a/229/4'}