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lfunc_lfunctions • Show schema
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{'Lhash': '842450602559865133951202204364', 'a10': [-0.2081269591330715, -1.296758886897438e-60], 'a2': [0.03401797803190182, 0.058920866322015875], 'a3': [0.0, 0.0], 'a4': [0.9976855543412421, -1.7280420700965513], 'a5': [-1.5295365213791623, 2.6492349670608695], 'a6': [0.0, 0.0], 'a7': [-2.6065368086616436, -0.4538346230643647], 'a8': [0.27182889320891196, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.5397479255428665, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [2.6065368086616436, 0.4538346230643647]]], [13, [[1.0, 0], [1.7995241444268901, -3.1243739938785606]]]], 'bad_primes': [3, 7, 13], 'central_character': '819.100', 'coefficient_field': 'CDF', 'conductor': 819, 'conductor_radical': 273, 'conjugate': '1884989073871618682920802841924', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.03401797803190182, -0.058920866322015875], [-1.0, 1.7320508075688772]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.5397479255428665, 'bad_primes': [3, 7, 13], 'central_character': '91.9', 'conductor': 819, 'conductor_radical': 273, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/819/2/n/e/100/5'], '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': '2-819-91.9-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': '2-819-91.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.5572930855775735, 'root_angle': -0.19012894740113165, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.66457634493936205488864598850', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '842450602559865133951202204364', 'Lhash_array': ['842450602559865133951202204364'], 'label': '2-819-91.9-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/819/2/n/e/100/5'}