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lfunc_lfunctions • Show schema
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{'Lhash': '/ModularForm/GL4/Q/Maass/1/1/23.54300_-0.82218_-8.12585/-0.6798912/', 'a10': [0.08502046, -0.04288507], 'a2': [-0.67989121073, 0.43464246789], 'a3': [0.57276213082, -0.6103878874], 'a4': [-0.1282127068, -0.5910191875], 'a5': [-0.1173960615, -0.0119728553], 'a6': [-0.1241154408, 0.6639441058], 'a7': [0.953550234, -0.364443207], 'a8': [-0.062827694, -0.263071387], 'a9': [-0.241474474, -0.699214135], 'algebraic': False, 'analytic_conductor': 1.0736441906425638, 'analytic_normalization': 0, 'bad_lfactors': [], 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'conjugate': '/ModularForm/GL4/Q/Maass/1/1/-23.5430_0.822180_8.125854/-0.6798912/', 'credit': 'Stefan Lemurell', 'degree': 4, 'dirichlet_coefficients': ['(1.0)', '(-0.67989121073 + 0.43464246789*I)', '(0.57276213082 - 0.6103878874*I)', '(-0.1282127068 - 0.5910191875*I)', '(-0.1173960615 - 0.0119728553*I)', '(-0.1241154408 + 0.6639441058*I)', '(0.953550234 - 0.364443207*I)', '(-0.062827694 - 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lfunc_search • Show schema
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{'algebraic': False, 'analytic_conductor': 1.0736441906425638, 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'degree': 4, 'index': 0, 'instance_types': ['MaassGL4'], 'instance_urls': ['ModularForm/GL4/Q/Maass/1/1/23.54300_-0.82218_-8.12585/-0.6798912/'], '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-m0.82m8.13m14.59p23.54-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '-0.822180974528', 'prec': 50}, {'__RealLiteral__': 0, 'data': '-8.12585455838', 'prec': 47}, {'__RealLiteral__': 0, 'data': '-14.59497110224', 'prec': 50}, {'__RealLiteral__': 0, 'data': '23.5430066352', 'prec': 44}], 'mu_real': [0, 0, 0, 0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '4-1-1.1-r0e4-m0.82m8.13m14.59p23.54', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0179233920340438, 'root_angle': 0.0, 'self_dual': False, 'spectral_label': 'r0e4-m0.82m8.13m14.59p23.54', 'z1': {'__RealLiteral__': 0, 'data': '17.83304504', 'prec': 37}}
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lfunc_instances • Show schema
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{'Lhash': '/ModularForm/GL4/Q/Maass/1/1/23.54300_-0.82218_-8.12585/-0.6798912/', 'Lhash_array': ['/ModularForm/GL4/Q/Maass/1/1/23.54300_-0.82218_-8.12585/-0.6798912/'], 'label': '4-1-1.1-r0e4-m0.82m8.13m14.59p23.54-0', 'type': 'MaassGL4', 'url': 'ModularForm/GL4/Q/Maass/1/1/23.54300_-0.82218_-8.12585/-0.6798912/'}