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lfunc_lfunctions • Show schema
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{'Lhash': '1608906867767635108358261239303', 'a10': [-1.2756843176006212, -1.4722181832902874], 'a2': [-0.7367411378764049, 0.6761749002740194], 'a3': [-0.8090169943749475, -0.5877852522924731], 'a4': [0.08557500847883974, -0.9963317308626913], 'a5': [-0.05562786754774147, 1.9472294157943506], 'a6': [0.9934817353485502, -0.11399140989054063], 'a7': [-0.28841626719239954, -0.5466096121263397], 'a8': [0.6106478796354381, 0.7919022459222751], 'a9': [0.30901699437494745, 0.9510565162951535], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.449284796686239, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.7367411378764049, -0.6761749002740194]]], [3, [[1.0, 0], [0.8090169943749475, 0.5877852522924731]]], [11, [[1.0, 0], [0.6548607339452851, 0.7557495743542583]]]], 'bad_primes': [2, 3, 11], 'central_character': '2904.1853', 'coefficient_field': 'CDF', 'conductor': 2904, 'conductor_radical': 66, 'conjugate': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.449284796686239, 'bad_primes': [2, 3, 11], 'central_character': '2904.1853', 'conductor': 2904, 'conductor_radical': 66, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2904/1/cj/b/1853/1'], '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': '2-2904-2904.1853-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-2904-2904.1853-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2038624492383834, 'root_angle': 0.30247933884297523, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.26920372812347937287392529768', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1608906867767635108358261239303', 'Lhash_array': ['1608906867767635108358261239303'], 'label': '2-2904-2904.1853-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2904/1/cj/b/1853/1'}