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lfunc_lfunctions • Show schema
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{'Lhash': '2215041870111430924696054658377', 'a10': [0.0, 0.0], 'a2': [0.23395555688102196, -1.3268278963378768], 'a3': [2.2057370639048863, 1.8508331567966467], 'a4': [0.17364817766693036, 0.06320276790533177], 'a5': [0.0, 0.0], 'a6': [2.9717815070238642, -2.493620766483186], 'a7': [0.17364817766693036, 0.3007674663608706], 'a8': [1.4717815070238645, -2.5492003478056238], 'a9': [0.9187480877851173, 5.210479327064271], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.79289409601082, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [4.298133329356934, -0.7252929636161356]]]], 'bad_primes': [5, 19], 'central_character': '475.226', 'coefficient_field': 'CDF', 'conductor': 475, 'conductor_radical': 95, 'conjugate': '2543747634359459749756524640948', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.23395555688102196, 1.3268278963378768], [-1.8793852415718169, -0.6840402866513374]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.79289409601082, 'bad_primes': [5, 19], 'central_character': '19.17', 'conductor': 475, 'conductor_radical': 95, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/475/2/l/a/226/1'], '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': '2-475-19.17-c1-0-19', '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': '2-475-19.17-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9475353901818626, 'root_angle': 0.03146498178057028, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.74735993475854625287661543876', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2215041870111430924696054658377', 'Lhash_array': ['2215041870111430924696054658377'], 'label': '2-475-19.17-c1-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/475/2/l/a/226/1'}