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lfunc_lfunctions • Show schema
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{'Lhash': '/ModularForm/GL3/Q/Maass/1/1/-26.2412_-0.12631/0.69219060/', 'a10': [0.022055487, 1.072483726], 'a2': [0.6921906002, -0.2047940592], 'a3': [-0.2947114022, -0.8465279781], 'a4': [-0.2550033798, -0.4883071048], 'a5': [-0.3922166092, 1.4333625655], 'a6': [-0.3773603633, -0.5256035649], 'a7': [-0.421528447, 0.534684214], 'a8': [0.202418229, -0.28577841], 'a9': [-0.335043404, -0.347565083], 'algebraic': False, 'analytic_conductor': 0.10372802483060292, 'analytic_normalization': 0, 'bad_lfactors': [], 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'conjugate': '/ModularForm/GL3/Q/Maass/1/1/26.24129_0.126312/0.69219060/', 'credit': 'Stefan Lemurell', 'degree': 3, 'dirichlet_coefficients': ['(1.0)', '(0.6921906002 - 0.2047940592*I)', '(-0.2947114022 - 0.8465279781*I)', '(-0.2550033798 - 0.4883071048*I)', '(-0.3922166092 + 1.4333625655*I)', '(-0.3773603633 - 0.5256035649*I)', '(-0.421528447 + 0.534684214*I)', '(0.202418229 - 0.28577841*I)', '(-0.335043404 - 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lfunc_search • Show schema
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{'algebraic': False, 'analytic_conductor': 0.10372802483060292, 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'degree': 3, 'index': 0, 'instance_types': ['MaassGL3'], 'instance_urls': ['ModularForm/GL3/Q/Maass/1/1/-26.2412_-0.12631/0.69219060/'], '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': True, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '3-1-1.1-r0e3-m0.13m26.24p26.37-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '-0.126312068996', 'prec': 50}, {'__RealLiteral__': 0, 'data': '-26.241299732', 'prec': 44}, {'__RealLiteral__': 0, 'data': '26.3676118', 'prec': 34}], 'mu_real': [0, 0, 0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '3-1-1.1-r0e3-m0.13m26.24p26.37', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.4698566407958724, 'root_angle': 0.0, 'self_dual': False, 'spectral_label': 'r0e3-m0.13m26.24p26.37', 'z1': {'__RealLiteral__': 0, 'data': '3.11729', 'prec': 24}}
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lfunc_instances • Show schema
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{'Lhash': '/ModularForm/GL3/Q/Maass/1/1/-26.2412_-0.12631/0.69219060/', 'Lhash_array': ['/ModularForm/GL3/Q/Maass/1/1/-26.2412_-0.12631/0.69219060/'], 'label': '3-1-1.1-r0e3-m0.13m26.24p26.37-0', 'type': 'MaassGL3', 'url': 'ModularForm/GL3/Q/Maass/1/1/-26.2412_-0.12631/0.69219060/'}