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lfunc_lfunctions • Show schema
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{'Lhash': '1254834959363868679715811440638', 'a10': [15.0, 25.98076211353316], 'a2': [-1.0, 1.7320508075688772], 'a3': [0, 0], 'a4': [-2.0, -3.4641016151377544], 'a5': [7.5, -12.99038105676658], 'a6': [0, 0], 'a7': [0, 0], 'a8': [8.0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 52.039684625063245, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, -1.7320508075688772]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 7], 'central_character': '882.667', 'coefficient_field': 'CDF', 'conductor': 882, 'conductor_radical': 42, 'conjugate': '1104594082901590172063325754149', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, -1.7320508075688772]], [[1.0, 0], [0, 0]], [[1.0, 0], [-7.5, 12.99038105676658], [-62.5, -108.25317547305482]], [[1.0, 0], [0, 0]], [[1.0, 0], [4.5, 7.794228634059948], [-665.5, 1152.6798124370878]], [[1.0, 0], [-88.0, 0], [2197.0, 0]], [[1.0, 0], [-42.0, 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'sign_arg': {'__RealLiteral__': 0, 'data': '0.020172953053946122', 'prec': 67}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.989890241946753010844531822044', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.20253531835108513668716009281', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.16705677521830510990103354373', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 52.039684625063245, 'bad_primes': [2, 3, 7], 'central_character': '7.2', 'conductor': 882, 'conductor_radical': 42, 'degree': 2, 'index': 33, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/882/4/g/l/667/1'], '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': '2-882-7.2-c3-0-33', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-882-7.2-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.213853659803701, 'root_angle': 0.020172953053946126, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.989890241946753010844531822044', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1254834959363868679715811440638', 'Lhash_array': ['1254834959363868679715811440638'], 'label': '2-882-7.2-c3-0-33', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/882/4/g/l/667/1'}