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lfunc_lfunctions • Show schema
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{'Lhash': '2370636340794298390867754386286', 'a10': [1.3265768018950126, -0.40919475129928934], 'a2': [0.8262387743159949, -0.5633200580636221], 'a3': [-0.7330518718298263, 0.6801727377709194], 'a4': [0.36534102436639504, -0.9308737486442042], 'a5': [1.3265768018950126, 0.40919475129928934], 'a6': [-0.2225209339563144, 0.9749279121818236], 'a7': [0.6626522011813163, -2.5614238345634166], 'a8': [-0.2225209339563144, -0.9749279121818236], 'a9': [0.07473009358642425, -0.9972037971811801], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.3476018194256443, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8262387743159949, 0.5633200580636221]]], [3, [[1.0, 0], [0.7330518718298263, -0.6801727377709194]]], [7, [[1.0, 0], [-0.6626522011813163, 2.5614238345634166]]]], 'bad_primes': [2, 3, 7], 'central_character': '294.37', 'coefficient_field': 'CDF', 'conductor': 294, 'conductor_radical': 42, 'conjugate': 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'root_number': '0.8299411368454763 + 0.5578509741603382*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0941869671963', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.87010232974881726511358218096', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.49247793250402337078209655880', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.25259765570898974681113890043', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.3476018194256443, 'bad_primes': [2, 3, 7], 'central_character': '49.37', 'conductor': 294, 'conductor_radical': 42, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/294/2/m/b/37/2'], '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': '2-294-49.37-c1-0-3', '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': '2-294-49.37-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5321885717579427, 'root_angle': 0.09418696719625493, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.87010232974881726511358218096', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2370636340794298390867754386286', 'Lhash_array': ['2370636340794298390867754386286'], 'label': '2-294-49.37-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/294/2/m/b/37/2'}