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lfunc_lfunctions • Show schema
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{'Lhash': '1964635228626077410007463475230', 'a10': [0.5081796851349933, -3.356768734637083], 'a2': [0.2793212970391495, 1.3863547933412887], 'a3': [0.0, 0.0], 'a4': [-1.8439592260407345, 0.7744768380650616], 'a5': [-2.2558635083107195, -0.8210671695924298], 'a6': [0.0, 0.0], 'a7': [1.9547428710772907, 0.3446739085184549], 'a8': [-1.5887567594883074, -2.3400538368123525], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.174306050978972, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.2793212970391495, -1.3863547933412887]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '648.35', 'coefficient_field': 'CDF', 'conductor': 648, 'conductor_radical': 6, 'conjugate': '661557785468634949570119210281', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.2793212970391495, -1.3863547933412887]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.2558635083107195, 0.8210671695924298], [3.83022221559489, 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'data': '2.88401679536777123415913706418', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.10137186795255877633992144922', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.174306050978972, 'bad_primes': [2, 3], 'central_character': '216.11', 'conductor': 648, 'conductor_radical': 6, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/648/2/v/b/35/17'], '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': '2-648-216.11-c1-0-19', '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': '2-648-216.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2747101026238425, 'root_angle': 0.07758131333376217, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.54982392488305691111267717627', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1964635228626077410007463475230', 'Lhash_array': ['1964635228626077410007463475230'], 'label': '2-648-216.11-c1-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/648/2/v/b/35/17'}