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lfunc_lfunctions • Show schema
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{'Lhash': '503156037294575499308474778461', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-15.466912734789759, 1.9428356735448291], 'a4': [0, 0], 'a5': [-101.0980794865408, 0], 'a6': [0, 0], 'a7': [0, 200.33455400218784], 'a8': [0, 0], 'a9': [235.45077909120323, -60.09933964150871], '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], [15.466912734789759, -1.9428356735448291]]]], 'bad_primes': [2, 3], 'central_character': '384.191', 'coefficient_field': 'CDF', 'conductor': 384, 'conductor_radical': 6, 'conjugate': '1228519631582996970060999053591', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [15.466912734789759, -1.9428356735448291]], [[1.0, 0], [101.0980794865408, 0], [3125.0, 0]], [[1.0, 0], [0, -200.33455400218784], [-16807.0, 0]], [[1.0, 0], [0, -350.1839921746153], [-161051.0, 0]], [[1.0, 0], [0, 744.4752940632332], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 61.587386808184576, 'bad_primes': [2, 3], 'central_character': '24.11', 'conductor': 384, 'conductor_radical': 6, 'degree': 2, 'index': 20, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/384/6/f/f/191/2'], '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': '2-384-24.11-c5-0-20', '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': '2-384-24.11-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.847763172279383, 'root_angle': -0.3948876682357476, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.39692012704761600418159544907', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '503156037294575499308474778461', 'Lhash_array': ['503156037294575499308474778461'], 'label': '2-384-24.11-c5-0-20', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/384/6/f/f/191/2'}