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lfunc_lfunctions • Show schema
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{'Lhash': '1391032603695121495278399290530', 'a10': [0.0, 0.0], 'a2': [-0.5, 0.8660254037844386], 'a3': [-0.17364817766693036, 0.3007674663608706], 'a4': [-0.5, -0.8660254037844386], 'a5': [0.0, 0.0], 'a6': [-0.17364817766693036, -0.3007674663608706], 'a7': [0.0, 0.0], 'a8': [1.0, -3.9689140359382235e-80], 'a9': [0.4396926207859084, 0.7615699589143088], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.441299756484111, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.5, -0.8660254037844386]]], [19, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 19], 'central_character': '2888.2595', 'coefficient_field': 'CDF', 'conductor': 2888, 'conductor_radical': 38, 'conjugate': '1363057497390075335203833136689', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [0.17364817766693036, -0.3007674663608706], [-0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], 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'data': '1.09733123894287451397950762083', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.78165928957934329060036778495', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.21606771023013407189258209557', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.441299756484111, 'bad_primes': [2, 19], 'central_character': '152.11', 'conductor': 2888, 'conductor_radical': 38, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2888/1/k/b/2595/2'], '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': '2-2888-152.11-c0-0-2', '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': '2-2888-152.11-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.200541443051472, 'root_angle': -0.1857261540225087, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.09733123894287451397950762083', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1391032603695121495278399290530', 'Lhash_array': ['1391032603695121495278399290530'], 'label': '2-2888-152.11-c0-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2888/1/k/b/2595/2'}