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lfunc_lfunctions • Show schema
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{'Lhash': '2080671521595051679408054919407', 'a10': [1.3246817089013687, 2.2944160236743363], 'a2': [-1.4832147943227472, 0.5398460361567474], 'a3': [0.0, 0.0], 'a4': [0.376403497105761, -0.31584003559528245], 'a5': [-0.2914697799442092, -1.653007263965568], 'a6': [0.0, 0.0], 'a7': [2.1290534492480493, 1.786487964020754], 'a8': [1.1906219716593345, -2.062217747521799], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.821094307351343, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]]], 'bad_primes': [3], 'central_character': '729.163', 'coefficient_field': 'CDF', 'conductor': 729, 'conductor_radical': 3, 'conjugate': '360518306220111050688727987504', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.4832147943227472, -0.5398460361567474], [1.532088886237956, -1.2855752193730787]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.2914697799442092, 1.653007263965568], [-4.698463103929542, 1.7101007166283437]], 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[-5.979515455134243, -5.017409213021989], [17.538465944359967, 99.46558305423301]], [[1.0, 0], [0.3761475166393698, 2.1332385726112078], [-96.78833994094856, 35.228074762543876]], [[1.0, 0], [12.584949885350023, 0], [107.0, 0]], [[1.0, 0], [12.213999771064275, 0], [109.0, 0]], [[1.0, 0], [0.0782863359372981, 0.44398387372568326], [-106.18526614880764, 38.64827619580057]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 24, 'label': '2-3e6-27.7-c1-0-24', '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/729/2/e/u/163/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [0.3891303305378329, 0.5422855059080135, 0.6857184379221567, 0.8176183950403362, 0.9333154332215512, 1.025443451987895, 1.084707332513282, 1.1010927506928605, 1.0653655239618554, 0.970725023975751, 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'data': '4.42944218316830637425377273379', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.821094307351343, 'bad_primes': [3], 'central_character': '27.7', 'conductor': 729, 'conductor_radical': 3, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/729/2/e/u/163/1'], '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': '2-3e6-27.7-c1-0-24', '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': '2-3e6-27.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4126944081982997, 'root_angle': 0.3148148148148148, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.64136041999305248079609881916', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2080671521595051679408054919407', 'Lhash_array': ['2080671521595051679408054919407'], 'label': '2-3e6-27.7-c1-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/729/2/e/u/163/1'}