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lfunc_lfunctions • Show schema
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{'Lhash': '831884433376748359139605805197', 'a10': [218.00780913711563, 0.0], 'a2': [-8.25035148941462, 0.0], 'a3': [-30.339043027891684, 0.0], 'a4': [36.068299698886015, 0.0], 'a5': [-26.424063194983198, 0.0], 'a6': [250.30776883258036, 0.0], 'a7': [-114.99392008336989, 0.0], 'a8': [-33.56490248008927, 0.0], 'a9': [677.457531848263, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 87.72994943770043, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[547, [[1.0, 0], [299209.0, 0]]]], 'bad_primes': [547], 'central_character': '547.1', 'coefficient_field': 'CDF', 'conductor': 547, 'conductor_radical': 547, 'degree': 2, 'euler_factors': [[[1.0, 0], [8.25035148941462, 0], [32.0, 0]], [[1.0, 0], [30.339043027891684, 0], [243.0, 0]], [[1.0, 0], [26.424063194983198, 0], [3125.0, 0]], [[1.0, 0], [114.99392008336989, 0], [16807.0, 0]], [[1.0, 0], [-428.7072467695994, 0], [161051.0, 0]], [[1.0, 0], [862.7282753899581, 0], [371293.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 87.72994943770043, 'bad_primes': [547], 'central_character': '1.1', 'conductor': 547, 'conductor_radical': 547, 'degree': 2, 'index': 66, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/547/6/a/a/1/18'], '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': '2-547-1.1-c5-0-66', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-547-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.366426716613995, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.65624110715285019706264244095', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '831884433376748359139605805197', 'Lhash_array': ['831884433376748359139605805197'], 'label': '2-547-1.1-c5-0-66', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/547/6/a/a/1/18'}