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lfunc_lfunctions • Show schema
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{'Lhash': '2882467083538864926109483899996', 'a10': [-0.16080198999305456, 3.1581866189340797], 'a2': [-1.0873406769656335, -0.9042622695965579], 'a3': [1.7878197026591849, -1.7878197026591849], 'a4': [0.3646194955681641, 1.966482296755203], 'a5': [-1.3404912275951706, -1.7897159743211748], 'a6': [-3.5606269877379733, 0.3273111838258978], 'a7': [2.3445942976252856, 2.3445942976252856], 'a8': [1.3817501356393562, -2.467947844396356], 'a9': [0.0, -3.3925985784327524], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0873406769656335, 0.9042622695965579]]], [5, [[1.0, 0], [1.3404912275951706, 1.7897159743211748]]], [13, [[1.0, 0], [0.7071067811865476, 0.7071067811865476]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.183', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '1481516922954566189423050988528', 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1.4408714212424685, 'root_angle': 0.663222568919425, 'root_number': '-0.49060056182004846 + 0.8713845814230665*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.33161128446', 'prec': 44}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.27386559279023884245628996018', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.07964965733386882527448880138', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.81101443620526088706915947704', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '20.3', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/o/a/183/9'], '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': '2-260-20.3-c1-0-26', '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': '2-260-20.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.3316112844597125, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.27386559279023884245628996018', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2882467083538864926109483899996', 'Lhash_array': ['2882467083538864926109483899996'], 'label': '2-260-20.3-c1-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/o/a/183/9'}