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lfunc_lfunctions • Show schema
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{'Lhash': '1410588131999957984199065575801', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.41541501300188644, -0.9096319953545183], 'a4': [-1.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.34033456135237183, -0.2547712614092333], 'a8': [0.0, 0.0], 'a9': [-0.6548607339452851, 0.7557495743542583], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.9777946450645887, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.41541501300188644, 0.9096319953545183]]], [1321, [[1.0, 0], [0.8412535328311812, -0.5406408174555976]]]], 'bad_primes': [3, 1321], 'central_character': '3963.2267', 'coefficient_field': 'CDF', 'conductor': 3963, 'conductor_radical': 3963, 'conjugate': '636953811917882450486180203025', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0.41541501300188644, 0.9096319953545183]], [[1.0, 0], [0, 0], [-0.14231483827328514, -0.9898214418809327]], [[1.0, 0], [0.34033456135237183, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.9777946450645887, 'bad_primes': [3, 1321], 'central_character': '3963.2267', 'conductor': 3963, 'conductor_radical': 3963, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3963/1/bi/a/2267/1'], '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': '2-3963-3963.2267-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': '2-3963-3963.2267-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4063408708647376, 'root_angle': 0.3191744655190406, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.11275783070350294512291897209', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1410588131999957984199065575801', 'Lhash_array': ['1410588131999957984199065575801'], 'label': '2-3963-3963.2267-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3963/1/bi/a/2267/1'}