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lfunc_lfunctions • Show schema
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{'Lhash': '1182701581231408876493670919510', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.8223733742970273, 1.8007465064456785], 'a4': [0.0, 0.0], 'a5': [0.6548607339452851, 0.7557495743542583], 'a6': [0.0, 0.0], 'a7': [-0.9096319953545183, -0.5845849869981136], 'a8': [0.0, 0.0], 'a9': [-1.9115292797783527, 2.2060223871643743], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.9182796232447245, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-0.6548607339452851, -0.7557495743542583]]], [23, [[1.0, 0], [0.9898214418809327, 0.14231483827328514]]]], 'bad_primes': [2, 5, 23], 'central_character': '1840.399', 'coefficient_field': 'CDF', 'conductor': 1840, 'conductor_radical': 230, 'conjugate': '3025288217262288288642445016839', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.8223733742970273, -1.8007465064456785], [-0.6548607339452851, 0.7557495743542583]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.9182796232447245, 'bad_primes': [2, 5, 23], 'central_character': '460.399', 'conductor': 1840, 'conductor_radical': 230, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1840/1/bq/a/399/2'], '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': '2-1840-460.399-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-1840-460.399-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9582690766401285, 'root_angle': -0.3922167774072955, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.932987039976531232467090292022', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1182701581231408876493670919510', 'Lhash_array': ['1182701581231408876493670919510'], 'label': '2-1840-460.399-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1840/1/bq/a/399/2'}