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lfunc_lfunctions • Show schema
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{'Lhash': '1618592929655036985968203797503', 'a10': [-113.02171476514474, 0.0], 'a2': [-5.217988208616909, 0.0], 'a3': [0.0, 0.0], 'a4': [-4.772599054734903, 0.0], 'a5': [21.66001727993604, 0.0], 'a6': [0.0, 0.0], 'a7': [150.1678675859719, 0.0], 'a8': [191.878988267804, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 85.16380832069274, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [59, [[1.0, 0], [-3481.0, 0]]]], 'bad_primes': [3, 59], 'central_character': '531.1', 'coefficient_field': 'CDF', 'conductor': 531, 'conductor_radical': 177, 'degree': 2, 'euler_factors': [[[1.0, 0], [5.217988208616909, 0], [32.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-21.66001727993604, 0], [3125.0, 0]], [[1.0, 0], [-150.1678675859719, 0], [16807.0, 0]], [[1.0, 0], [527.7942046262535, 0], [161051.0, 0]], [[1.0, 0], [-51.377234225673696, 0], [371293.0, 0]], [[1.0, 0], [-968.3415289775755, 0], [1419857.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 85.16380832069274, 'bad_primes': [3, 59], 'central_character': '1.1', 'conductor': 531, 'conductor_radical': 177, 'degree': 2, 'index': 87, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/531/6/a/c/1/5'], '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': '2-531-1.1-c5-0-87', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-531-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.228423934816428, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.27684468367200196016906824524', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1618592929655036985968203797503', 'Lhash_array': ['1618592929655036985968203797503'], 'label': '2-531-1.1-c5-0-87', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/531/6/a/c/1/5'}