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lfunc_lfunctions • Show schema
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{'Lhash': '1577700990554758827850138814249', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.5277495773373686, 1.6496909964051536], 'a4': [0.0, 0.0], 'a5': [-0.22011376537064894, -1.2483271957941595], 'a6': [0.0, 0.0], 'a7': [-2.0665913467765114, -1.734076036874329], 'a8': [0.0, 0.0], 'a9': [-2.4429607672404576, 1.7412474521801646], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.899074734638629, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-0.5277495773373686, -1.6496909964051536]]]], 'bad_primes': [2, 3], 'central_character': '864.385', 'coefficient_field': 'CDF', 'conductor': 864, 'conductor_radical': 6, 'conjugate': '1213359570104982843452803693762', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.5277495773373686, -1.6496909964051536]], [[1.0, 0], [0.22011376537064894, 1.2483271957941595], [-4.698463103929542, 1.7101007166283437]], [[1.0, 0], [2.0665913467765114, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.899074734638629, 'bad_primes': [2, 3], 'central_character': '27.7', 'conductor': 864, 'conductor_radical': 6, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/864/2/y/b/385/6'], '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': '2-864-27.7-c1-0-17', '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': '2-864-27.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6266089801564734, 'root_angle': 0.0003156717507740434, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.24458663157711404531697947455', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1577700990554758827850138814249', 'Lhash_array': ['1577700990554758827850138814249'], 'label': '2-864-27.7-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/864/2/y/b/385/6'}