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lfunc_lfunctions • Show schema
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{'Lhash': '2019836481262880803702419951277', 'a10': [0.0, 0.0], 'a2': [0.5, -0.8660254037844386], 'a3': [-2.598076211353316, 1.5], 'a4': [-0.5, -0.8660254037844386], 'a5': [0.0, 0.0], 'a6': [-6.223015277861142e-61, 3.0], 'a7': [1.7320508075688772, -2.0], 'a8': [-1.0, 0.0], 'a9': [3.0, -5.196152422706632], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.900439568106474, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5, 0.8660254037844386]]], [7, [[1.0, 0], [-1.7320508075688772, 2.0]]], [17, [[1.0, 0], [-2.9641016151377544, 2.866025403784439]]]], 'bad_primes': [2, 7, 17], 'central_character': '238.135', 'coefficient_field': 'CDF', 'conductor': 238, 'conductor_radical': 238, 'conjugate': '1325285360493535072574836197234', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5, 0.8660254037844386]], [[1.0, 0], [2.598076211353316, -1.5], [1.5, -2.598076211353316]], [[1.0, 0], [0, 0], [2.5, 4.330127018922194]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.900439568106474, 'bad_primes': [2, 7, 17], 'central_character': '119.16', 'conductor': 238, 'conductor_radical': 238, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/238/2/j/a/135/1'], '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': '2-238-119.16-c1-0-5', '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': '2-238-119.16-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3785643140987198, 'root_angle': 0.14785005453192815, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.59337003500745940107620069592', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2019836481262880803702419951277', 'Lhash_array': ['2019836481262880803702419951277'], 'label': '2-238-119.16-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/238/2/j/a/135/1'}