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lfunc_lfunctions • Show schema
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{'Lhash': '1742218165442319545830005016469,2024800298275148068543707989157', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 2, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.4080695489894464, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [1]], [5, [1, -2, 1]]], 'bad_primes': [2, 5], 'central_character': '1280.1', 'coefficient_field': '1.1.1.1', 'conductor': 1638400, 'conductor_radical': 10, 'degree': 4, 'euler_factors': [[1], [1, 0, 0, 0, 1], [1, -2, 1], [1, 0, 0, 0, 1], [1, 0, -2, 0, 1], [1, -2, 2, -2, 1], [1, 2, 2, 2, 1], [1, 0, 2, 0, 1], [1, 0, 0, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 2, 2, 2, 1], [1, 0, 2, 0, 1], [1, 0, 0, 0, 1], [1, 0, 0, 0, 1], [1, -2, 2, -2, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1], [1, 0, 0, 0, 1], [1, 0, 2, 0, 1], [1, 2, 2, 2, 1], [1, 0, -2, 0, 1], [1, 0, 0, 0, 1], [1, 0, -2, 0, 1], [1, -2, 2, -2, 1], [1, 0, 2, 0, 1], [1, 0, 0, 0, 1], [1, 0, 0, 0, 1], [1, 4, 6, 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3.6461723316076817, 2.741541015484335, 1.8850516550054295, 1.1324537735179068, 0.5341916085443139, 0.13003620657010662], 'positive_zeros': ['1.37436779908331870438816338532412', '1.59728579618910801388038849944621', '2.56382699017365319480480876622723', '2.57835656525677766203580935029344', '3.74021845670869840604791606180547', '3.80848993559041850282377922753811', '4.75463737771097494376872630461901', '4.97789828717673226204301224536964', '5.74474983610210005102651214318519', '5.79187168655000644734836805733903', '6.42925465942160716011031093663066', '6.58780435151141343806501754820010', '7.04457857340801992451861750460198', '7.49173514819837414169334955314916', '8.438466821913513519585770745763121', '8.590450849705363797826252254668907', '8.947732681856564842015412916729116', '9.017766454665096541390124675676436', '9.709306267011088429070222059351827', '10.07403066264750029921991646453336'], 'prelabel': '4-1280e2-1.1-c0e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.7992516600985219, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c0e2-0', 'trace_hash': 174087380052724788, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.37436779908331870438816338532', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.59728579618910801388038849945', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.56382699017365319480480876623', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.4080695489894464, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 1638400, 'conductor_radical': 10, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], 'euler11': [1, 0, -2, 0, 1], 'euler13': [1, -2, 2, -2, 1], 'euler17': [1, 2, 2, 2, 1], 'euler19': [1, 0, 2, 0, 1], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 0, 0, 0, 1], 'euler29': [1, 0, 2, 0, 1], 'euler3': [1, 0, 0, 0, 1], 'euler31': [1, 0, 2, 0, 1], 'euler37': [1, 2, 2, 2, 1], 'euler41': [1, 0, 2, 0, 1], 'euler43': [1, 0, 0, 0, 1], 'euler47': [1, 0, 0, 0, 1], 'euler5': [1, -2, 1, 0, 0], 'euler53': [1, -2, 2, -2, 1], 'euler59': [1, 0, 2, 0, 1], 'euler61': [1, 0, -2, 0, 1], 'euler67': [1, 0, 0, 0, 1], 'euler7': [1, 0, 0, 0, 1], 'euler71': [1, 0, 2, 0, 1], 'euler73': [1, 2, 2, 2, 1], 'euler79': [1, 0, -2, 0, 1], 'euler83': [1, 0, 0, 0, 1], 'euler89': [1, 0, -2, 0, 1], 'euler97': [1, -2, 2, -2, 1], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 0, 0, 1], [1, -2, 1, 0, 0], [1, 0, 0, 0, 1], [1, 0, -2, 0, 1], [1, -2, 2, -2, 1], [1, 2, 2, 2, 1], [1, 0, 2, 0, 1], [1, 0, 0, 0, 1], [1, 0, 2, 0, 1], [1, 0, 2, 0, 1], [1, 2, 2, 2, 1], [1, 0, 2, 0, 1], [1, 0, 0, 0, 1], [1, 0, 0, 0, 1], [1, -2, 2, -2, 1], [1, 0, 2, 0, 1], [1, 0, -2, 0, 1], [1, 0, 0, 0, 1], [1, 0, 2, 0, 1], [1, 2, 2, 2, 1], [1, 0, -2, 0, 1], [1, 0, 0, 0, 1], [1, 0, -2, 0, 1], [1, -2, 2, -2, 1]], 'index': 7, 'instance_types': ['CMF', 'Artin'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1280/1/m/b', 'ArtinRepresentation/2.1280.8t17.b'], 'is_instance_Artin': True, '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': '4-1280e2-1.1-c0e2-0-7', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0, 0], 'order_of_vanishing': 0, 'prelabel': '4-1280e2-1.1-c0e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.7992516600985219, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e2-0', 'trace_hash': 174087380052724788, 'z1': {'__RealLiteral__': 0, 'data': '1.37436779908331870438816338532', 'prec': 103}}
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lfunc_instances • Show schema
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-
id: 24604419
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