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lfunc_lfunctions • Show schema
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{'Lhash': '5915072919548733318390461689767', 'a10': [18123.299007915186, -2.517668654726037e-58], 'a2': [-12.82699705938556, -22.217010615392375], 'a3': [-90.7998074624054, -106.95043227958506], 'a4': [-73.06370712297162, 126.55005292631894], 'a5': [-353.2256794791713, 611.804823395964], 'a6': [-1211.4300259632953, 3389.1531666180963], 'a7': [2284.2076858614378, 3956.363766951339], 'a8': [-9386.093163154153, 0.0], 'a9': [-3193.7899295802176, 19422.1573180147], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.63532252547486, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [90.7998074624054, 106.95043227958506]]]], 'bad_primes': [3], 'central_character': '9.4', 'coefficient_field': 'CDF', 'conductor': 9, 'conductor_radical': 3, 'conjugate': '282708401303403563369223970500', 'degree': 2, 'euler_factors': [[[1.0, 0], [12.82699705938556, 22.217010615392375], [-256.0, 443.40500673763256]], [[1.0, 0], [90.7998074624054, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.63532252547486, 'bad_primes': [3], 'central_character': '9.4', 'conductor': 9, 'conductor_radical': 3, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9/10/c/a/4/2'], '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': '2-3e2-9.4-c9-0-7', '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': '2-3e2-9.4-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.152979917573515, 'root_angle': -0.33517173097606157, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '4.66616977776350690224064257483', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5915072919548733318390461689767', 'Lhash_array': ['5915072919548733318390461689767'], 'label': '2-3e2-9.4-c9-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9/10/c/a/4/2'}