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lfunc_lfunctions • Show schema
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{'Lhash': '566360296876630169256946977616', 'a10': [0.0, 3.4844202372651996], 'a2': [0.0, -1.0], 'a3': [-0.4367616762196456, -1.676078529838565], 'a4': [-1.0, 0.0], 'a5': [-3.4844202372651996, 0.0], 'a6': [-1.676078529838565, 0.4367616762196456], 'a7': [-1.8251962749856783, 1.9153742604980377], 'a8': [0.0, 1.0], 'a9': [-2.6184784763716107, 1.464093736336102], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.713548835255689, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 1.0]]], [3, [[1.0, 0], [0.4367616762196456, 1.676078529838565]]], [7, [[1.0, 0], [1.8251962749856783, -1.9153742604980377]]], [23, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [2, 3, 7, 23], 'central_character': '966.461', 'coefficient_field': 'CDF', 'conductor': 966, 'conductor_radical': 966, 'conjugate': '1072592648596582946830187432362', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 1.0]], [[1.0, 0], [0.4367616762196456, 1.676078529838565]], [[1.0, 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'3.74326893094486974660927333622', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.713548835255689, 'bad_primes': [2, 3, 7, 23], 'central_character': '21.20', 'conductor': 966, 'conductor_radical': 966, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/966/2/f/c/461/7'], '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': '2-966-21.20-c1-0-10', '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': '2-966-21.20-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.777327642763037, 'root_angle': 0.08059262388233117, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.44677949647533946039656497879', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '566360296876630169256946977616', 'Lhash_array': ['566360296876630169256946977616'], 'label': '2-966-21.20-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/966/2/f/c/461/7'}