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lfunc_lfunctions • Show schema
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{'Lhash': '469071732528101797591404628247', 'a10': [0.0, 0.0], 'a2': [-2.13992007888184, 0.3389300440329378], 'a3': [0.4539904997395468, 0.8910065241883679], 'a4': [2.562271336663185, -0.832532424374885], 'a5': [0.0, 0.0], 'a6': [-1.2734922664910555, -1.7528117314581464], 'a7': [0.7701010207340885, 0.39238606874565485], 'a8': [-1.3399860458947603, 0.6827569923507901], 'a9': [-0.5877852522924731, 0.8090169943749475], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.587658166755635, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.4539904997395468, -0.8910065241883679]]], [5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [2.598837738078593, 2.0605927329626645]]]], 'bad_primes': [3, 5, 11], 'central_character': '825.7', 'coefficient_field': 'CDF', 'conductor': 825, 'conductor_radical': 165, 'conjugate': '1914955557882401277168347644174', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.13992007888184, -0.3389300440329378], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.587658166755635, 'bad_primes': [3, 5, 11], 'central_character': '55.7', 'conductor': 825, 'conductor_radical': 165, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/825/2/cw/b/7/2'], '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': '2-825-55.7-c1-0-2', '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': '2-825-55.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.566643365712431, 'root_angle': -0.4191333226054138, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.37003235153570671245372549822', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '469071732528101797591404628247', 'Lhash_array': ['469071732528101797591404628247'], 'label': '2-825-55.7-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/825/2/cw/b/7/2'}