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lfunc_lfunctions • Show schema
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{'Lhash': '1060578243324626608875424483207', 'a10': [2.331886685611652, 0.0969768302705723], 'a2': [-1.0397810515397574, -0.09096905455879328], 'a3': [0.0, 0.0], 'a4': [-0.8967462397706132, -0.15812055692042143], 'a5': [-2.2337330612639716, 0.1021597328514778], 'a6': [0.0, 0.0], 'a7': [-0.5676266657531934, -0.3974564702492293], 'a8': [2.9344113314702938, 0.7862731465282007], '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], [2.2337330612639716, -0.1021597328514778]]]], 'bad_primes': [3, 5], 'central_character': '405.368', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '1202002697639663218321088331282', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0397810515397574, 0.09096905455879328], [1.969615506024416, 0.3472963553338607]], [[1.0, 0], [0, 0]], [[1.0, 0], 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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': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/2/r/a/368/6'], '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-c1-0-3', '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': -0.013603148255351562, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.836648713086775467802123676355', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1060578243324626608875424483207', 'Lhash_array': ['1060578243324626608875424483207'], 'label': '2-405-135.113-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/2/r/a/368/6'}