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lfunc_lfunctions • Show schema
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{'Lhash': '1556332409793179864005529946727', 'a10': [-2.6274608838682076, 1.7596730672890624], 'a2': [1.3834634535432335, -0.2933067894035684], 'a3': [-1.300635745499793, 1.300635745499793], 'a4': [1.8279422545795416, -0.8115584476318773], 'a5': [-2.075560083106276, 0.8318956313239474], 'a6': [-1.4178967255748607, 2.180867314966983], 'a7': [2.448501999929125, 2.448501999929125], 'a8': [2.290855701709967, -1.6589093266188282], 'a9': [0.0, -0.3833066849436045], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.3834634535432335, 0.2933067894035684]]], [5, [[1.0, 0], [2.075560083106276, -0.8318956313239474]]], [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': '3002494292392366618922916057309', 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1.4408714212424685, 'root_angle': -0.32813150127602314, 'root_number': '0.514085225527228 - 0.8577391100414037*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.164065750638', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.22772979361424656605635614740', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.56511259113644279521187385679', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.53772243849666052155033443927', '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': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/o/a/183/35'], '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-c1-0-11', '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': -0.16406575063801157, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.22772979361424656605635614740', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1556332409793179864005529946727', 'Lhash_array': ['1556332409793179864005529946727'], 'label': '2-260-20.3-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/o/a/183/35'}