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lfunc_lfunctions • Show schema
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{'Lhash': '764171418604708571044865356534', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-10.35651926692413, -11.65085870971875], 'a4': [0, 0], 'a5': [0, 68.32810372131041], 'a6': [0, 0], 'a7': [0, 220.65228089108047], 'a8': [0, 0], 'a9': [-28.485017347658555, 241.32468540682612], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 61.587386808184576, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [10.35651926692413, 11.65085870971875]]]], 'bad_primes': [2, 3], 'central_character': '384.383', 'coefficient_field': 'CDF', 'conductor': 384, 'conductor_radical': 6, 'conjugate': '1850592859102124569455144288252', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [10.35651926692413, 11.65085870971875]], [[1.0, 0], [0, -68.32810372131041], [-3125.0, 0]], [[1.0, 0], [0, -220.65228089108047], [-16807.0, 0]], [[1.0, 0], [-127.2041297724994, 0], [161051.0, 0]], [[1.0, 0], [-822.4952064921456, 0], 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'data': '0.60282495702453514548557770536', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.994306549891834787683896177866', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '3.43201331540289916582247267257', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 61.587386808184576, 'bad_primes': [2, 3], 'central_character': '12.11', 'conductor': 384, 'conductor_radical': 6, 'degree': 2, 'index': 31, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/384/6/c/c/383/7'], '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': '2-384-12.11-c5-0-31', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-384-12.11-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.847763172279383, 'root_angle': -0.36565024971642685, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.60282495702453514548557770536', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '764171418604708571044865356534', 'Lhash_array': ['764171418604708571044865356534'], 'label': '2-384-12.11-c5-0-31', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/384/6/c/c/383/7'}