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lfunc_lfunctions • Show schema
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{'Lhash': '2569846658124359889237237506947', 'a10': [2.8783797420595882, 1.3095533820738194], 'a2': [-1.2323681208400312, 0.6937354068643247], 'a3': [-0.8283038269543651, -0.8283038269543651], 'a4': [1.0374623705255799, -1.7098747994351646], 'a5': [-1.3193699427312275, -1.8053428910368792], 'a6': [1.595398923107821, 0.4461515383088937], 'a7': [2.9408386230710555, 2.9408386230710555], 'a8': [-0.09233486233364353, 2.8269195731746293], 'a9': [0.0, -1.6278255405055064], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.2323681208400312, -0.6937354068643247]]], [5, [[1.0, 0], [1.3193699427312275, 1.8053428910368792]]], [13, [[1.0, 0], [1.9912512145232217, 3.0058141327533536]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.207', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '627575286356567227986864682611', 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0.6102594820225038, 'root_number': '-0.3395048012076088 + 0.9406043216767516*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.305129741011', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.02725156100717459431274891057', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.79273450411814582949833001450', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.77377289733053947479211254920', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '260.207', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/p/d/207/6'], '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': '2-260-260.207-c1-0-21', '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': '2-260-260.207-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': 0.3051297410112519, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.02725156100717459431274891057', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2569846658124359889237237506947', 'Lhash_array': ['2569846658124359889237237506947'], 'label': '2-260-260.207-c1-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/p/d/207/6'}