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lfunc_lfunctions • Show schema
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{'Lhash': '1979143820412471392743006329251', 'a10': [-2.070415287603338, 0.8446185747770327], 'a2': [-0.9396926207859084, 0.3420201433256687], 'a3': [0.3623697706755305, -0.9956027624239698], 'a4': [0.766044443118978, -0.6427876096865394], 'a5': [2.234430533723954, -0.08555810868693924], 'a6': [4.646639089486561e-61, 1.059498329987205], 'a7': [1.0618539668965883, -0.18723350393618174], 'a8': [-0.5, 0.8660254037844386], 'a9': [1.438220319510131, 1.2068101396526207], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.9396926207859084, -0.3420201433256687]]], [5, [[1.0, 0], [-2.234430533723954, 0.08555810868693924]]], [37, [[1.0, 0], [-4.8663135626479095, -3.6495194628867247]]]], 'bad_primes': [2, 5, 37], 'central_character': '370.289', 'coefficient_field': 'CDF', 'conductor': 370, 'conductor_radical': 370, 'conjugate': 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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.56126918573315380508468459800', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.96073790367735540272843749188', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.39023360288806083654100335434', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'bad_primes': [2, 5, 37], 'central_character': '185.104', 'conductor': 370, 'conductor_radical': 370, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/370/2/v/a/289/6'], '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': '2-370-185.104-c1-0-8', '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': '2-370-185.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7188556875978203, 'root_angle': 0.042082985109924545, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.56126918573315380508468459800', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1979143820412471392743006329251', 'Lhash_array': ['1979143820412471392743006329251'], 'label': '2-370-185.104-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/370/2/v/a/289/6'}