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lfunc_lfunctions • Show schema
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{'Lhash': '550579823440114248515352304204', 'a10': [-2.9903405853477407, 1.028524760821115], 'a2': [0.004025465582723868, 1.414207833250418], 'a3': [-1.0965528693699569, 1.0965528693699569], 'a4': [-1.9999675912536845, 0.011385689919136107], 'a5': [0.7212551301691469, 2.11655168545554], 'a6': [-1.5551677932715013, -1.5463395216009297], 'a7': [-2.6324741648079675, -0.264725842370166], 'a8': [-0.024152532575757467, -2.828324001095026], 'a9': [0.0, 0.5951436093530282], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.2358112565958517, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.004025465582723868, -1.414207833250418]]], [5, [[1.0, 0], [-0.7212551301691469, -2.11655168545554]]], [7, [[1.0, 0], [2.6324741648079675, 0.264725842370166]]]], 'bad_primes': [2, 5, 7], 'central_character': '280.237', 'coefficient_field': 'CDF', 'conductor': 280, 'conductor_radical': 70, 'conjugate': '3973674247787329212902447931596', 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'0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/280/2/s/c/237/19', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [0.541270517424579, 0.37495497484719625, 0.2194494672936456, 0.06986712649875625, -0.07675550376009042, -0.22105563239242393, -0.3612455786261142, -0.49325298233592413, -0.6110363548341678, -0.7070400370019126, -0.7727764643274356, -0.799531738034142, -0.7791835954524842, -0.7051041774567357, -0.5730988402461888, -0.38231102483943924, -0.13600548352575065, 0.15786888370356458, 0.48643693757569934, 0.832066249119848, 1.173014292566266, 1.4845848114056994, 1.740776250259928, 1.9163485215326093, 1.989174129527766, 1.9426823338261856, 1.7681581990638005, 1.4666299677360657, 1.050075465832686, 0.541706702586441, -0.02484592503009054, -0.6075335759936226, -1.1590350569379089, -1.6308726635237307, -1.9781807312409578, -2.164684355498222, -2.167353958888776, -1.9801607718674328, 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'root_analytic_conductor': 1.4952629389494851, 'root_angle': 0.7484344031778905, 'root_number': '-0.7036203605976837 + 0.7105760959618508*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.374217201589', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.43433089791539338018898612534', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.06008735719514852250263742968', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.74466204766978232512923171023', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.2358112565958517, 'bad_primes': [2, 5, 7], 'central_character': '280.237', 'conductor': 280, 'conductor_radical': 70, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/280/2/s/c/237/19'], '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': '2-280-280.237-c1-0-5', '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': '2-280-280.237-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4952629389494851, 'root_angle': 0.3742172015889452, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.43433089791539338018898612534', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '550579823440114248515352304204', 'Lhash_array': ['550579823440114248515352304204'], 'label': '2-280-280.237-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/280/2/s/c/237/19'}