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lfunc_lfunctions • Show schema
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{'Lhash': '195198033572089584718908506985', 'a10': [0.0, -2271.666101271652], 'a2': [0.0, 13.08863243292388], 'a3': [33.49933896904372, 0.0], 'a4': [-107.3122989641869, 0.0], 'a5': [-173.5602335013531, 0.0], 'a6': [0.0, 438.46053451173645], 'a7': [-128.65947553596382, 0.0], 'a8': [0.0, -566.898760967152], 'a9': [393.20571136289107, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.57319093357121, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[59, [[1.0, 0], [-10097.305966630169, 205130.6365544071]]]], 'bad_primes': [59], 'central_character': '59.58', 'coefficient_field': 'CDF', 'conductor': 59, 'conductor_radical': 59, 'conjugate': '4098684989262151085574406255902', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -13.08863243292388], [-64.0, 0]], [[1.0, 0], [-33.49933896904372, 0], [729.0, 0]], [[1.0, 0], [173.5602335013531, 0], [15625.0, 0]], [[1.0, 0], [128.65947553596382, 0], [117649.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.57319093357121, 'bad_primes': [59], 'central_character': '59.58', 'conductor': 59, 'conductor_radical': 59, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/59/7/b/c/58/24'], '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': '2-59-59.58-c6-0-2', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-59-59.58-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.684181175454216, 'root_angle': 0.25782789020634606, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.15398409746104004235501905848', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '195198033572089584718908506985', 'Lhash_array': ['195198033572089584718908506985'], 'label': '2-59-59.58-c6-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/59/7/b/c/58/24'}