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lfunc_lfunctions • Show schema
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{'Lhash': '3324165761671780704191983195090', 'a10': [-1.9508346216906045, 1.2554960316213084], 'a2': [1.033551495805609, 0.09042403905325236], 'a3': [0.0, 0.0], 'a4': [-0.9095633183811088, -0.16038055369331317], 'a5': [-1.7676995770631139, 1.369393371260022], 'a6': [0.0, 0.0], 'a7': [-2.382951984204521, -1.6685609425317907], 'a8': [-2.929873384007857, -0.785057207170346], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.233941281861857, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.7676995770631139, -1.369393371260022]]]], 'bad_primes': [3, 5], 'central_character': '405.368', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '91213710471328304076925364890', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.033551495805609, -0.09042403905325236], [1.969615506024416, 0.3472963553338607]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.7676995770631139, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.233941281861857, 'bad_primes': [3, 5], 'central_character': '135.113', 'conductor': 405, 'conductor_radical': 15, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/2/r/a/368/11'], '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': '2-405-135.113-c1-0-15', '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': '2-405-135.113-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7983162352216746, 'root_angle': 0.4566332614295178, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.62230441185709511574535922784', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3324165761671780704191983195090', 'Lhash_array': ['3324165761671780704191983195090'], 'label': '2-405-135.113-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/2/r/a/368/11'}