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lfunc_lfunctions • Show schema
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{'Lhash': '526422967483388676589786955896', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.5485283184221363, 0.0], 'a4': [0.0, 0.0], 'a5': [-0.8185560334171023, 0.0], 'a6': [0.0, 0.0], 'a7': [2.1329008230368958, 0.0], 'a8': [0.0, 0.0], 'a9': [3.4949965897995607, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 67.58538027081175, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 23], 'central_character': '8464.1', 'coefficient_field': 'CDF', 'conductor': 8464, 'conductor_radical': 46, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.5485283184221363, 0], [3.0, 0]], [[1.0, 0], [0.8185560334171023, 0], [5.0, 0]], [[1.0, 0], [-2.1329008230368958, 0], [7.0, 0]], [[1.0, 0], [0.53003126161396, 0], [11.0, 0]], [[1.0, 0], [-1.0209734674170783, 0], [13.0, 0]], [[1.0, 0], [7.451949581350054, 0], [17.0, 0]], [[1.0, 0], [0.3961506805416863, 0], [19.0, 0]], 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'5.11552606128830218691468914199552', '5.74943448214964548910097108972544', '6.19316453336965670002866044273489', '7.28539450317344860358619491921377', '7.38633336699371893440681550568310'], 'prelabel': '2-92e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.221032798305318, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.41527449865807725433507506385', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.61470803360542685265041286214', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.43425615661473001722233202150', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 67.58538027081175, 'bad_primes': [2, 23], 'central_character': '1.1', 'conductor': 8464, 'conductor_radical': 46, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8464/2/a/ch/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': '2-92e2-1.1-c1-0-25', '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': '2-92e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.221032798305318, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.41527449865807725433507506385', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '526422967483388676589786955896', 'Lhash_array': ['526422967483388676589786955896'], 'label': '2-92e2-1.1-c1-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8464/2/a/ch/1/2'}