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lfunc_lfunctions • Show schema
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{'Lhash': '3900103844813661363447499626123', 'a10': [0.14985552926084833, -1.2595469609945211], 'a2': [0.960601853200966, -1.0379036947746498], 'a3': [-0.9510565162951535, -0.30901699437494745], 'a4': [-0.1544881592537393, -1.9940244252893171], 'a5': [0.725619971839389, -0.5271937687113685], 'a6': [-1.2343165322618945, 0.6902627747350799], 'a7': [-0.4897895093519935, -1.5074171096137752], 'a8': [-2.218006930555428, -1.7551197269725187], 'a9': [0.8090169943749475, 0.5877852522924731], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.0540253066809016, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.960601853200966, 1.0379036947746498]]], [3, [[1.0, 0], [0.9510565162951535, 0.30901699437494745]]], [11, [[1.0, 0], [-2.621109936254909, -2.0321866799252937]]]], 'bad_primes': [2, 3, 11], 'central_character': '132.7', 'coefficient_field': 'CDF', 'conductor': 132, 'conductor_radical': 66, 'conjugate': 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'0.253724376042', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '3.07663944947565345156821982212', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.67213843164692992893482417079', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.90850261052014054554968038858', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.0540253066809016, 'bad_primes': [2, 3, 11], 'central_character': '44.7', 'conductor': 132, 'conductor_radical': 66, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/132/2/j/a/7/10'], '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': '2-132-44.7-c1-0-11', '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': '2-132-44.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0266573462849724, 'root_angle': 0.25372437604187215, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.07663944947565345156821982212', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3900103844813661363447499626123', 'Lhash_array': ['3900103844813661363447499626123'], 'label': '2-132-44.7-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/132/2/j/a/7/10'}