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lfunc_lfunctions • Show schema
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{'Lhash': '834385595248379430242756092975', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 2.6514406889297364], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0.8959885938194068, 0], 'a8': [0, 0], 'a9': [1.9698622730878053, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 84.46888195169205, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [31, [[1.0, 0], [-5.19546415844971, 30.56153059285913]]]], 'bad_primes': [2, 5, 31], 'central_character': '3100.1301', 'coefficient_field': 'CDF', 'conductor': 3100, 'conductor_radical': 310, 'conjugate': '1178517456936503319473820892276', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -2.6514406889297364], [-9.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.8959885938194068, 0], [49.0, 0]], [[1.0, 0], [0, 1.975395676271358], [-121.0, 0]], [[1.0, 0], [0, -4.582745900383044], [-169.0, 0]], [[1.0, 0], [0, -13.542633483224177], [-289.0, 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{'__RealLiteral__': 0, 'data': '2.54311232482411135059669849951', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 84.46888195169205, 'bad_primes': [2, 5, 31], 'central_character': '31.30', 'conductor': 3100, 'conductor_radical': 310, 'degree': 2, 'index': 46, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3100/3/d/e/1301/16'], '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': '2-3100-31.30-c2-0-46', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-3100-31.30-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.190695400876479, 'root_angle': -0.2231998540905757, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.65821417597100936394006908643', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '834385595248379430242756092975', 'Lhash_array': ['834385595248379430242756092975'], 'label': '2-3100-31.30-c2-0-46', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3100/3/d/e/1301/16'}