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lfunc_lfunctions • Show schema
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{'Lhash': '1724646562811339932100065064363', 'a10': [-284.9127885854521, -493.48342555613317], 'a2': [-11.110344580963826, -6.414560434608965], 'a3': [-14.046987132318726, 23.058233941576535], 'a4': [50.2931711385015, 87.11032768564128], 'a5': [38.465880132144726, 22.208286248909634], 'a6': [303.9753024980203, -166.07967663495805], 'a7': [-244.85438302382337, -240.19852437936166], 'a8': [0.0, -469.3706072342494], 'a9': [-334.3643050089442, -647.797430942641], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.831135756016872, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [14.046987132318726, -23.058233941576535]]], [7, [[1.0, 0], [244.85438302382337, 240.19852437936166]]]], 'bad_primes': [3, 7], 'central_character': '21.2', 'coefficient_field': 'CDF', 'conductor': 21, 'conductor_radical': 21, 'conjugate': '922948513582471595264268843680', 'degree': 2, 'euler_factors': [[[1.0, 0], [11.110344580963826, 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.99047306310285389375177778975', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.831135756016872, 'bad_primes': [3, 7], 'central_character': '21.2', 'conductor': 21, 'conductor_radical': 21, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/21/7/h/a/2/2'], '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': '2-21-21.2-c6-0-3', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-21-21.2-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1979844758361855, 'root_angle': 0.20046815077049154, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '1.36050624872566021364316224502', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1724646562811339932100065064363', 'Lhash_array': ['1724646562811339932100065064363'], 'label': '2-21-21.2-c6-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/21/7/h/a/2/2'}