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lfunc_lfunctions • Show schema
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{'Lhash': '1016284075314456322252255523640', 'a10': [-2.7424442211442606, 0.0], 'a2': [0.941352211130321, 0.0], 'a3': [-1.0, 0.0], 'a4': [-1.1138560146000556, 0.0], 'a5': [-2.9133030004266876, 0.0], 'a6': [-0.941352211130321, 0.0], 'a7': [-1.761135578337698, 0.0], 'a8': [-2.9312352444852112, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 63.936216898439234, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.0, 0]]], [17, [[1.0, 0], [1.0, 0]]], [157, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 17, 157], 'central_character': '8007.1', 'coefficient_field': 'CDF', 'conductor': 8007, 'conductor_radical': 8007, 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.941352211130321, 0], [2.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [2.9133030004266876, 0], [5.0, 0]], [[1.0, 0], [1.761135578337698, 0], [7.0, 0]], [[1.0, 0], [4.889574396383308, 0], [11.0, 0]], [[1.0, 0], [2.3991702011965854, 0], [13.0, 0]], 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{'__RealLiteral__': 0, 'data': '3.11159848442871096162019428054', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 63.936216898439234, 'bad_primes': [3, 17, 157], 'central_character': '1.1', 'conductor': 8007, 'conductor_radical': 8007, 'degree': 2, 'index': 159, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8007/2/a/f/1/32'], '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': '2-8007-1.1-c1-0-159', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-8007-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.9960125624238, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.801706775614260952251323049293', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1016284075314456322252255523640', 'Lhash_array': ['1016284075314456322252255523640'], 'label': '2-8007-1.1-c1-0-159', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8007/2/a/f/1/32'}