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lfunc_lfunctions • Show schema
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{'Lhash': '828417118021726603841596031316', 'a10': [-1.8660254037844386, -1.2320508075688772], 'a2': [0.8660254037844386, 0.5], 'a3': [-0.8660254037844386, 0.5], 'a4': [-0.5, -0.8660254037844386], 'a5': [-2.232050807568877, -0.13397459621556135], 'a6': [-1.0, -3.111507638930571e-61], 'a7': [0.0, 0.0], 'a8': [0.0, -3.0], 'a9': [0.5, -0.8660254037844386], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.869004548564111, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.8660254037844386, -0.5]]], [5, [[1.0, 0], [2.232050807568877, 0.13397459621556135]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5, 7], 'central_character': '735.79', 'coefficient_field': 'CDF', 'conductor': 735, 'conductor_radical': 105, 'conjugate': '1692526716737238939839213831312', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.8660254037844386, -0.5], [1.0, 1.7320508075688772]], [[1.0, 0], [0.8660254037844386, -0.5]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.869004548564111, 'bad_primes': [3, 5, 7], 'central_character': '35.9', 'conductor': 735, 'conductor_radical': 105, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/735/2/q/a/79/2'], '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': '2-735-35.9-c1-0-6', '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': '2-735-35.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.422602845817719, 'root_angle': -0.2202855224379372, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.65350587762320102125702073930', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '828417118021726603841596031316', 'Lhash_array': ['828417118021726603841596031316'], 'label': '2-735-35.9-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/735/2/q/a/79/2'}