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lfunc_lfunctions • Show schema
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{'Lhash': '764235181158629427185594768774', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 26.072386623683574], 'a4': [0, 0], 'a5': [-26.23141458562027, -49.36509788137068], 'a6': [0, 0], 'a7': [0, 49.0], 'a8': [0, 0], 'a9': [-436.76934425483415, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 44.907469547634584, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [26.23141458562027, 49.36509788137068]]], [7, [[1.0, 0], [0, -49.0]]]], 'bad_primes': [2, 5, 7], 'central_character': '280.169', 'coefficient_field': 'CDF', 'conductor': 280, 'conductor_radical': 70, 'conjugate': '1444814779814142363577199316808', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -26.072386623683574], [-243.0, 0]], [[1.0, 0], [26.23141458562027, 49.36509788137068]], [[1.0, 0], [0, -49.0]], [[1.0, 0], [-711.472483595292, 0], [161051.0, 0]], [[1.0, 0], [0, 1009.7009706529195], [-371293.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 44.907469547634584, 'bad_primes': [2, 5, 7], 'central_character': '5.4', 'conductor': 280, 'conductor_radical': 70, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/280/6/g/a/169/20'], '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': '2-280-5.4-c5-0-13', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-280-5.4-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.70130357077148, 'root_angle': -0.32773636662457695, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.60287525681054035563628802796', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '764235181158629427185594768774', 'Lhash_array': ['764235181158629427185594768774'], 'label': '2-280-5.4-c5-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/280/6/g/a/169/20'}