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lfunc_lfunctions • Show schema
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{'Lhash': '2002612772654751965651086667033', 'a10': [-0.26931795126721, 0.0], 'a2': [1.8019377358048383, 0.0], 'a3': [0.0, 0.0], 'a4': [2.246979603717467, 0.0], 'a5': [-0.1494601871728485, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [2.246979603717467, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.9358731840034165, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [431, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 431], 'central_character': '3879.3016', 'coefficient_field': 'CDF', 'conductor': 3879, 'conductor_radical': 1293, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.8019377358048383, 0], [1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.1494601871728485, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [-1.0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [1.4661037436596527, 0], [1.0, 0]], [[1.0, 0], [-1.977661652450257, 0], [1.0, 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'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.57978292464358795259905939985', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.54010379874287977800098460668', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.49765066622665831777295518464', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.9358731840034165, 'bad_primes': [3, 431], 'central_character': '431.430', 'conductor': 3879, 'conductor_radical': 1293, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3879/1/d/c/3016/6'], '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': '2-3879-431.430-c0-0-8', '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': '2-3879-431.430-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3913565984331322, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.57978292464358795259905939985', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2002612772654751965651086667033', 'Lhash_array': ['2002612772654751965651086667033'], 'label': '2-3879-431.430-c0-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3879/1/d/c/3016/6'}