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lfunc_lfunctions • Show schema
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{'Lhash': '1527314815401512468909721402217', 'a10': [0.25445856280643275, -0.33046798477943823], 'a2': [-0.7050520664371155, -1.225928865641377], 'a3': [3.065585653392704, 1.269807154251644], 'a4': [-1.0058031672255066, 1.7286873600507235], 'a5': [0.11286185309107731, 0.2724726164070386], 'a6': [-0.6047042555694777, -4.653470100671951], 'a7': [-1.8085689169726753, 1.8085689169726753], 'a8': [2.8283913358369093, 0.014228540427785005], 'a9': [5.66408484573887, 5.66408484573887], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.3217767240852654, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.7050520664371155, 1.225928865641377]]], [13, [[1.0, 0], [0.3826834323650898, -0.9238795325112867]]]], 'bad_primes': [2, 13], 'central_character': '416.157', 'coefficient_field': 'CDF', 'conductor': 416, 'conductor_radical': 26, 'conjugate': '2811865792387725624062216783035', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'4.02501046614192924067452124004', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.3217767240852654, 'bad_primes': [2, 13], 'central_character': '32.29', 'conductor': 416, 'conductor_radical': 26, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/416/2/bf/a/157/18'], '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': '2-416-32.29-c1-0-13', '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': '2-416-32.29-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.822574202628048, 'root_angle': -0.07158226654866169, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.20483894783509966937687639681', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1527314815401512468909721402217', 'Lhash_array': ['1527314815401512468909721402217'], 'label': '2-416-32.29-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/416/2/bf/a/157/18'}