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lfunc_lfunctions • Show schema
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{'Lhash': '2763864318902795307453791396646', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.5961260682162763, 0.6725931715089373], 'a4': [0.0, 0.0], 'a5': [-0.8822984195600635, -2.424094984961775], 'a6': [0.0, 0.0], 'a7': [-0.8189350661466374, -4.644411552084851], 'a8': [0.0, 0.0], 'a9': [2.0952368512790986, -2.147086988699351], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.899074734638629, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [1.5961260682162763, -0.6725931715089373]]]], 'bad_primes': [2, 3], 'central_character': '864.49', 'coefficient_field': 'CDF', 'conductor': 864, 'conductor_radical': 6, 'conjugate': '212701345760869500616642472298', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.5961260682162763, -0.6725931715089373]], [[1.0, 0], [0.8822984195600635, 2.424094984961775], [-3.83022221559489, 3.2139380484326967]], [[1.0, 0], [0.8189350661466374, 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'data': '4.61396910383645046922311184258', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.899074734638629, 'bad_primes': [2, 3], 'central_character': '216.157', 'conductor': 864, 'conductor_radical': 6, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/864/2/bf/a/49/4'], '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': '2-864-216.157-c1-0-30', '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': '2-864-216.157-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6266089801564734, 'root_angle': -0.4543943019106786, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.18030450851771435630151542794', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2763864318902795307453791396646', 'Lhash_array': ['2763864318902795307453791396646'], 'label': '2-864-216.157-c1-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/864/2/bf/a/49/4'}