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lfunc_lfunctions • Show schema
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{'Lhash': '1323318954427302164360241729464', 'a10': [-1.8125056178542633, 0.0], 'a2': [-2.7064980141521215, 0.0], 'a3': [0.21763207181731306, 0.0], 'a4': [5.325131500609378, 0.0], 'a5': [0.6696866609089592, 0.0], 'a6': [-0.5890207701893697, 0.0], 'a7': [-0.5814497647621476, 0.0], 'a8': [-8.999461803193945, 0.0], 'a9': [-2.952636281316504, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.28553810226827, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [], 'bad_primes': [6047], 'central_character': '6047.1', 'coefficient_field': 'CDF', 'conductor': 6047, 'conductor_radical': 6047, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.7064980141521215, 0], [2.0, 0]], [[1.0, 0], [-0.21763207181731306, 0], [3.0, 0]], [[1.0, 0], [-0.6696866609089592, 0], [5.0, 0]], [[1.0, 0], [0.5814497647621476, 0], [7.0, 0]], [[1.0, 0], [2.0947042344221942, 0], [11.0, 0]], [[1.0, 0], [1.2750550565393794, 0], [13.0, 0]], [[1.0, 0], [-6.5915354052246, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.28553810226827, 'bad_primes': [6047], 'central_character': '1.1', 'conductor': 6047, 'conductor_radical': 6047, 'degree': 2, 'index': 275, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6047/2/a/a/1/5'], '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': '2-6047-1.1-c1-0-275', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-6047-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.9487796124404655, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.04391458828564445333921804387', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1323318954427302164360241729464', 'Lhash_array': ['1323318954427302164360241729464'], 'label': '2-6047-1.1-c1-0-275', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6047/2/a/a/1/5'}