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lfunc_lfunctions • Show schema
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{'Lhash': '2107470047327339106193079398676', 'a10': [-3708.7734142511054, 8953.771076453788], 'a2': [11.38452499666966, 11.38452499666966], 'a3': [-244.37567199548872, 101.22371765457038], 'a4': [0.0, -252.7851812004074], 'a5': [230.35645596706993, 556.129680175901], 'a6': [-3934.4848903048755, -1629.7170025162984], 'a7': [406.47837693441585, -981.3256104064698], 'a8': [8706.716012458573, -8706.716012458573], 'a9': [35555.24527333969, -35555.24527333969], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.755609214785846, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [-38251.66246974862, 342234.84161508223]]]], 'bad_primes': [17], 'central_character': '17.2', 'coefficient_field': 'CDF', 'conductor': 17, 'conductor_radical': 17, 'conjugate': '619788639481879510437064072619', 'degree': 2, 'euler_factors': [[[1.0, 0], [-11.38452499666966, -11.38452499666966], [0, 512.0]], [[1.0, 0], [244.37567199548872, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.755609214785846, 'bad_primes': [17], 'central_character': '17.2', 'conductor': 17, 'conductor_radical': 17, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/17/10/d/a/2/8'], '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': '2-17-17.2-c9-0-7', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-17-17.2-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9589878699964025, 'root_angle': 0.1501207824462118, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '1.66250072926081331856431997985', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2107470047327339106193079398676', 'Lhash_array': ['2107470047327339106193079398676'], 'label': '2-17-17.2-c9-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/17/10/d/a/2/8'}