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lfunc_lfunctions • Show schema
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{'Lhash': '1783422983822277757062498852376', 'a10': [0.031623802278582996, 3.162119532074878], 'a2': [1.3206000808286704, 0.5059796700612673], 'a3': [-0.6581435994453974, 0.6581435994453974], 'a4': [1.4879691469693823, 1.3363935863611471], 'a5': [0.8208652966893711, 2.0799471543025008], 'a6': [-1.202151771924781, 0.5361372093241469], 'a7': [-1.8912392084625549, -1.8912392084625549], 'a8': [1.2888241898593271, 2.5177236162123613], 'a9': [0.0, 2.133694005018113], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.3206000808286704, -0.5059796700612673]]], [5, [[1.0, 0], [-0.8208652966893711, -2.0799471543025008]]], [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': '3422833319263084224306059458541', 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'root_angle': -0.460508273626334, 'root_number': '0.12374887691959864 - 0.9923135671052462*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.230254136813', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.40687266940999992406502657897', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.09028342377420926082120740966', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.53922403749489977976799126104', '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': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/o/a/183/33'], '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-c1-0-17', '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': '2-260-20.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': -0.230254136813167, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.40687266940999992406502657897', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1783422983822277757062498852376', 'Lhash_array': ['1783422983822277757062498852376'], 'label': '2-260-20.3-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/o/a/183/33'}