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lfunc_lfunctions • Show schema
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{'Lhash': '970768286909509697971364724304', 'a10': [-95884.77668031228, 0.0], 'a2': [-39.10653893480452, 0.0], 'a3': [-17.28885788409017, 0.0], 'a4': [1017.3213874593815, 0.0], 'a5': [2451.8860347156824, 0.0], 'a6': [676.1073939824743, 0.0], 'a7': [9795.996809704382, 0.0], 'a8': [-19761.37051326974, 0.0], 'a9': [-19384.095393063733, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 108.67256143057726, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[211, [[1.0, 0], [-1982119441.0, 0]]]], 'bad_primes': [211], 'central_character': '211.1', 'coefficient_field': 'CDF', 'conductor': 211, 'conductor_radical': 211, 'degree': 2, 'euler_factors': [[[1.0, 0], [39.10653893480452, 0], [512.0, 0]], [[1.0, 0], [17.28885788409017, 0], [19683.0, 0]], [[1.0, 0], [-2451.8860347156824, 0], [1953125.0, 0]], [[1.0, 0], [-9795.996809704382, 0], [40353607.0, 0]], [[1.0, 0], [-66296.15285579392, 0], [2357947691.0, 0]], [[1.0, 0], [9579.513839016203, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 108.67256143057726, 'bad_primes': [211], 'central_character': '1.1', 'conductor': 211, 'conductor_radical': 211, 'degree': 2, 'index': 56, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/211/10/a/b/1/7'], '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': '2-211-1.1-c9-0-56', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-211-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.424613250887404, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.76580114957128672517428908450', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '970768286909509697971364724304', 'Lhash_array': ['970768286909509697971364724304'], 'label': '2-211-1.1-c9-0-56', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/211/10/a/b/1/7'}