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lfunc_lfunctions • Show schema
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{'Lhash': '430199559937594501121020545665', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-28.5404751060835, 0], 'a4': [0, 0], 'a5': [5.813884628493366, -55.59854985093198], 'a6': [0, 0], 'a7': [0, -92.37500419066257], 'a8': [0, 0], 'a9': [571.5587192809718, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 51.32282234015381, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-5.813884628493366, 55.59854985093198]]]], 'bad_primes': [2, 5], 'central_character': '320.289', 'coefficient_field': 'CDF', 'conductor': 320, 'conductor_radical': 10, 'conjugate': '745717817087806598120189754620', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [28.5404751060835, 0], [243.0, 0]], [[1.0, 0], [-5.813884628493366, 55.59854985093198]], [[1.0, 0], [0, 92.37500419066257], [-16807.0, 0]], [[1.0, 0], [0, -541.5474730370341], [-161051.0, 0]], [[1.0, 0], [782.810388995585, 0], [371293.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 51.32282234015381, 'bad_primes': [2, 5], 'central_character': '40.29', 'conductor': 320, 'conductor_radical': 10, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/320/6/f/d/289/4'], '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': '2-320-40.29-c5-0-14', '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': '2-320-40.29-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.163994859026199, 'root_angle': -0.02508425963719157, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.33936761427805172310649067783', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '430199559937594501121020545665', 'Lhash_array': ['430199559937594501121020545665'], 'label': '2-320-40.29-c5-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/320/6/f/d/289/4'}