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lfunc_lfunctions • Show schema
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{'Lhash': '1909560297744278839282179709692', 'a10': [-0.11004917268353213, 0.3996855351673188], 'a2': [0, 0.1853965196169097], 'a3': [0, -0.6364941936431031], 'a4': [1.965628130513937, 0], 'a5': [2.1558416306476564, 0.5935881262006967], 'a6': [0.11800380825780268, 0], 'a7': [0, -3.5679037836061283], 'a8': [0, 0.735213653492196], 'a9': [2.594875141458616, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.621973443564292, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-2.1558416306476564, -0.5935881262006967]]], [241, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [5, 241], 'central_character': '1205.724', 'coefficient_field': 'CDF', 'conductor': 1205, 'conductor_radical': 1205, 'conjugate': '1861030025122206843181033634305', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -0.1853965196169097], [-2.0, 0]], [[1.0, 0], [0, 0.6364941936431031], [-3.0, 0]], [[1.0, 0], [-2.1558416306476564, -0.5935881262006967]], [[1.0, 0], 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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.50637746505265663267551085256', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.40381269004787875658160191826', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.34669978161310582763817084838', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.621973443564292, 'bad_primes': [5, 241], 'central_character': '5.4', 'conductor': 1205, 'conductor_radical': 1205, 'degree': 2, 'index': 83, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1205/2/b/c/724/24'], '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': '2-1205-5.4-c1-0-83', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-1205-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1019305994113235, 'root_angle': 0.042762022994055356, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.50637746505265663267551085256', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1909560297744278839282179709692', 'Lhash_array': ['1909560297744278839282179709692'], 'label': '2-1205-5.4-c1-0-83', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1205/2/b/c/724/24'}