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lfunc_lfunctions • Show schema
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{'Lhash': '755930588381833346153051868844', 'a10': [0.0, 0.0], 'a2': [-0.9370917194099596, 0.0], 'a3': [-1.0301239702956626, 0.0], 'a4': [-1.1218591094132855, 0.0], 'a5': [0.0, 0.0], 'a6': [0.9653206425297767, 0.0], 'a7': [-1.6583208750743479, 0.0], 'a8': [2.925468320595741, 0.0], 'a9': [-1.9388446058223008, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 72.06498782420559, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 19], 'central_character': '9025.1', 'coefficient_field': 'CDF', 'conductor': 9025, 'conductor_radical': 95, 'degree': 2, 'euler_factors': [[[1.0, 0], [0.9370917194099596, 0], [2.0, 0]], [[1.0, 0], [1.0301239702956626, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.6583208750743479, 0], [7.0, 0]], [[1.0, 0], [-4.638471261027641, 0], [11.0, 0]], [[1.0, 0], [5.556294803576241, 0], [13.0, 0]], [[1.0, 0], [-7.237291481616057, 0], [17.0, 0]], 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'2.69002862562481753481942714681697', '3.38815970620280446576326691874637', '4.39617136883071937284874369432809', '4.97817615196925245123295908894520', '5.67112926093125913624475374980843', '6.47149233389923794110865064093713', '7.04201120325220232540661468766517', '7.83970174350050454252813689790665'], 'prelabel': '2-95e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.489109954771795, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.59632408823514512310969399942', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.25031881798535689231459231465', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.69002862562481753481942714682', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 72.06498782420559, 'bad_primes': [5, 19], 'central_character': '1.1', 'conductor': 9025, 'conductor_radical': 95, 'degree': 2, 'index': 120, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9025/2/a/cv/1/15'], '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': '2-95e2-1.1-c1-0-120', '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': '2-95e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.489109954771795, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.59632408823514512310969399942', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '755930588381833346153051868844', 'Lhash_array': ['755930588381833346153051868844'], 'label': '2-95e2-1.1-c1-0-120', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9025/2/a/cv/1/15'}