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lfunc_lfunctions • Show schema
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{'Lhash': '2762093330103402983770705801137', 'a10': [-1.0, 2.0], 'a2': [-0.8660254037844386, -0.5], 'a3': [0.0, 0.0], 'a4': [0.5, 0.8660254037844386], 'a5': [-0.13397459621556135, -2.232050807568877], 'a6': [0.0, 0.0], 'a7': [-1.7320508075688772, -1.0], 'a8': [0.0, -1.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.467882563723714, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.8660254037844386, 0.5]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.13397459621556135, 2.232050807568877]]]], 'bad_primes': [2, 3, 5], 'central_character': '810.379', 'coefficient_field': 'CDF', 'conductor': 810, 'conductor_radical': 30, 'conjugate': '115880956635689039335218484667', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8660254037844386, 0.5]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.13397459621556135, 2.232050807568877]], [[1.0, 0], [1.7320508075688772, 1.0], [3.5, 6.06217782649107]], [[1.0, 0], [-1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.467882563723714, 'bad_primes': [2, 3, 5], 'central_character': '45.34', 'conductor': 810, 'conductor_radical': 30, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/810/2/i/b/379/1'], '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': '2-810-45.34-c1-0-22', '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': '2-810-45.34-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.543203209286217, 'root_angle': -0.39843041339700563, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.17890744469028945495890594484', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2762093330103402983770705801137', 'Lhash_array': ['2762093330103402983770705801137'], 'label': '2-810-45.34-c1-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/810/2/i/b/379/1'}