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lfunc_lfunctions • Show schema
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{'Lhash': '3742718571757066382014425575593', 'a10': [3.6454296846907948, 1.3268278963378768], 'a2': [-0.9396926207859084, 0.3420201433256687], 'a3': [0.17364817766693036, -0.984807753012208], 'a4': [0.766044443118978, -0.6427876096865394], 'a5': [-2.9717815070238642, -2.493620766483186], 'a6': [0.17364817766693036, 0.984807753012208], 'a7': [-0.6133407984528387, -1.0623374252751794], 'a8': [-0.5, 0.8660254037844386], 'a9': [-0.9396926207859084, -0.3420201433256687], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.9102945830425968, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.9396926207859084, -0.3420201433256687]]], [3, [[1.0, 0], [-0.17364817766693036, 0.984807753012208]]], [19, [[1.0, 0], [-2.777188796356143, 3.3596461702676246]]]], 'bad_primes': [2, 3, 19], 'central_character': '114.43', 'coefficient_field': 'CDF', 'conductor': 114, 'conductor_radical': 114, 'conjugate': '1092013265925947401108011424601', 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[-41.5, 71.88010851410841]], [[1.0, 0], [-1.4683779403103405, -8.327585117209733], [-83.63264324994584, 30.439792755984517]], [[1.0, 0], [-13.510267006311922, 4.917335047286295], [74.30631098254086, -62.35039813959431]], [[1.0, 0], [-0.988855646762835, -5.6080790517123775], [-94.90895469937675, 34.544034475892545]], [[1.0, 0], [-0.15657403792795982, 0.27119418883744284], [-51.5, -89.20061658979718]], [[1.0, 0], [-8.414000347598055, -14.573476096942024], [-53.5, 92.66471820493493]], [[1.0, 0], [7.975651900285685, 6.692366567928091], [18.927651365695407, 107.34404507833068]], [[1.0, 0], [17.382378287908395, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 2, 'label': '2-114-19.5-c1-0-2', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/114/2/i/b/43/1', 'plot_delta': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.9102945830425968, 'bad_primes': [2, 3, 19], 'central_character': '19.5', 'conductor': 114, 'conductor_radical': 114, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/114/2/i/b/43/1'], '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': '2-114-19.5-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': '2-114-19.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9540935923915415, 'root_angle': 0.2704033697721928, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.95248436050377181495301089302', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3742718571757066382014425575593', 'Lhash_array': ['3742718571757066382014425575593'], 'label': '2-114-19.5-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/114/2/i/b/43/1'}