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lfunc_lfunctions • Show schema
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{'Lhash': '720309605274240940939812018800', 'a10': [-540.9018491718674, 224.04888183967375], 'a2': [-7.430609501869817, 7.430609501869817], 'a3': [-9.60498858165127, 23.188493700261212], 'a4': [0.0, -78.42791513855603], 'a5': [51.472946520675805, 21.320792544168935], 'a6': [-100.93372220304035, -243.6755610433784], 'a7': [-84.79398733021027, 35.12281955986548], 'a8': [344.98770738056, 344.98770738056], 'a9': [-273.62348660507166, -273.62348660507166], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.726524936820671, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [952.0617746751548, 716.5440511248382]]]], 'bad_primes': [17], 'central_character': '17.8', 'coefficient_field': 'CDF', 'conductor': 17, 'conductor_radical': 17, 'conjugate': '6801986081493302993089260718028', 'degree': 2, 'euler_factors': [[[1.0, 0], [7.430609501869817, -7.430609501869817], [0, -32.0]], [[1.0, 0], [9.60498858165127, -23.188493700261212], 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'6.63660143449037963916576025607', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.726524936820671, 'bad_primes': [17], 'central_character': '17.8', 'conductor': 17, 'conductor_radical': 17, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/17/6/d/a/8/1'], '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': '2-17-17.8-c5-0-1', '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': '2-17-17.8-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6512192273652433, 'root_angle': 0.3405940149860055, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.56822408725602740817490121038', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '720309605274240940939812018800', 'Lhash_array': ['720309605274240940939812018800'], 'label': '2-17-17.8-c5-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/17/6/d/a/8/1'}