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lfunc_lfunctions • Show schema
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{'Lhash': '1245097124821571759394254776876', 'a10': [0.40551854277184474, 1.2480577431082054], 'a2': [-2.2206788126087766, 1.6134175984007237], 'a3': [-0.8090169943749475, 0.5877852522924731], 'a4': [1.710264053190473, -5.26365152072694], 'a5': [0.1477347335300504, -0.45468075725440904], 'a6': [0.8482238283197941, -2.6105645122595993], 'a7': [1.127165980320124, 0.8189340208234238], 'a8': [2.998073191863496, 9.227120505844747], 'a9': [0.30901699437494745, -0.9510565162951535], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.4612623569894316, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.8090169943749475, -0.5877852522924731]]], [61, [[1.0, 0], [1.0344168146610804, 7.741445721152246]]]], 'bad_primes': [3, 61], 'central_character': '183.34', 'coefficient_field': 'CDF', 'conductor': 183, 'conductor_radical': 183, 'conjugate': '1847252624183656181750883523855', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.4612623569894316, 'bad_primes': [3, 61], 'central_character': '61.34', 'conductor': 183, 'conductor_radical': 183, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/183/2/h/b/34/1'], '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': '2-183-61.34-c1-0-2', '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': '2-183-61.34-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.208826851533929, 'root_angle': -0.28507869149581694, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.982208444974824225107962005408', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1245097124821571759394254776876', 'Lhash_array': ['1245097124821571759394254776876'], 'label': '2-183-61.34-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/183/2/h/b/34/1'}