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lfunc_lfunctions • Show schema
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{'Lhash': '/ModularForm/GL4/Q/Maass/1/1/20.17416_3.321773_-5.45937/-0.0851377/', 'a10': [-0.286928219, -1.633704568], 'a2': [-0.0851377901, 1.58009761106], 'a3': [-0.31473110588, 0.58496253377], 'a4': [-0.35351606265, -0.26905203752], 'a5': [-1.02117741992, 0.23661133691], 'a6': [-0.8975023913, -0.5471082859], 'a7': [0.7688008126, 0.3416412754], 'a8': [0.1882387198, 1.2592189386], 'a9': [0.3658135236, -0.3682118103], 'algebraic': False, 'analytic_conductor': 4.2104097024008444, 'analytic_normalization': 0, 'bad_lfactors': [], 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'conjugate': '/ModularForm/GL4/Q/Maass/1/1/-20.1741_-3.32177_5.459373/-0.0851377/', 'credit': 'Stefan Lemurell', 'degree': 4, 'dirichlet_coefficients': ['(1.0)', '(-0.0851377901 + 1.58009761106*I)', '(-0.31473110588 + 0.58496253377*I)', '(-0.35351606265 - 0.26905203752*I)', '(-1.02117741992 + 0.23661133691*I)', '(-0.8975023913 - 0.5471082859*I)', '(0.7688008126 + 0.3416412754*I)', '(0.1882387198 + 1.2592189386*I)', '(0.3658135236 - 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lfunc_search • Show schema
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{'algebraic': False, 'analytic_conductor': 4.2104097024008444, 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'degree': 4, 'index': 0, 'instance_types': ['MaassGL4'], 'instance_urls': ['ModularForm/GL4/Q/Maass/1/1/20.17416_3.321773_-5.45937/-0.0851377/'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, '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': True, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '4-1-1.1-r0e4-p3.32m5.46m18.04p20.17-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '3.32177319608', 'prec': 44}, {'__RealLiteral__': 0, 'data': '-5.45937323438', 'prec': 47}, {'__RealLiteral__': 0, 'data': '-18.03656605964', 'prec': 50}, {'__RealLiteral__': 0, 'data': '20.174166098', 'prec': 40}], 'mu_real': [0, 0, 0, 0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '4-1-1.1-r0e4-p3.32m5.46m18.04p20.17', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4324553357105556, 'root_angle': 0.0, 'self_dual': False, 'spectral_label': 'r0e4-p3.32m5.46m18.04p20.17', 'z1': {'__RealLiteral__': 0, 'data': '7.7192476', 'prec': 30}}
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lfunc_instances • Show schema
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{'Lhash': '/ModularForm/GL4/Q/Maass/1/1/20.17416_3.321773_-5.45937/-0.0851377/', 'Lhash_array': ['/ModularForm/GL4/Q/Maass/1/1/20.17416_3.321773_-5.45937/-0.0851377/'], 'label': '4-1-1.1-r0e4-p3.32m5.46m18.04p20.17-0', 'type': 'MaassGL4', 'url': 'ModularForm/GL4/Q/Maass/1/1/20.17416_3.321773_-5.45937/-0.0851377/'}