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lfunc_lfunctions • Show schema
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{'Lhash': '4289716469665500188943401727250', 'a10': [-8.240762962701483, 4.757806714843599], 'a2': [-0.942546337639456, -0.25255452999940453], 'a3': [-0.8660254037844386, -1.5], 'a4': [-2.6394918071634237, -1.5239113053896143], 'a5': [6.895453920121915, -6.895453920121915], 'a6': [0.4374372776406469, 1.6325381452795074], 'a7': [-5.174597145208333, 1.386529126214966], 'a8': [4.862939863137986, 4.862939863137986], 'a9': [-1.5, 2.598076211353316], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.062673031005158, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.8660254037844386, 1.5]]], [13, [[1.0, 0], [-12.047651853286782, -4.884064375291911]]]], 'bad_primes': [3, 13], 'central_character': '39.28', 'coefficient_field': 'CDF', 'conductor': 39, 'conductor_radical': 39, 'conjugate': '1700585065609528074402871537353', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.942546337639456, 0.25255452999940453], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.062673031005158, 'bad_primes': [3, 13], 'central_character': '13.2', 'conductor': 39, 'conductor_radical': 39, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/39/3/l/b/28/2'], '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': '2-39-13.2-c2-0-3', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-39-13.2-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0308603353535133, 'root_angle': 0.23206965778840577, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '3.38398961740180950799276163085', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4289716469665500188943401727250', 'Lhash_array': ['4289716469665500188943401727250'], 'label': '2-39-13.2-c2-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/39/3/l/b/28/2'}