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lfunc_lfunctions • Show schema
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{'Lhash': '348132042171346695615429081513', 'a10': [-2.505669687993451, -2.025096599694946], 'a2': [-1.337603810271226, -0.4591470861803414], 'a3': [0.0, 0.0], 'a4': [1.5783679065042044, 1.2283137838995113], 'a5': [2.140705262462403, 0.779152995873333], 'a6': [0.0, 0.0], 'a7': [-3.5505736498611826, -2.049924652524946], 'a8': [-1.547254230957232, -2.3677002227446247], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.461767498255581, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.337603810271226, 0.4591470861803414]]], [3, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [0.45828014816856266, -4.334740973321774]]]], 'bad_primes': [2, 3, 19], 'central_character': '684.523', 'coefficient_field': 'CDF', 'conductor': 684, 'conductor_radical': 114, 'conjugate': '2200238653047949279909071607957', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.337603810271226, 0.4591470861803414]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.461767498255581, 'bad_primes': [2, 3, 19], 'central_character': '76.67', 'conductor': 684, 'conductor_radical': 114, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/684/2/cf/a/523/1'], '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': '2-684-76.67-c1-0-2', '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': '2-684-76.67-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.337042468218235, 'root_angle': -0.32611574509878055, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.27462775792372801053390827594', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '348132042171346695615429081513', 'Lhash_array': ['348132042171346695615429081513'], 'label': '2-684-76.67-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/684/2/cf/a/523/1'}