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lfunc_lfunctions • Show schema
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{'Lhash': '984433664532738834442534817931', 'a10': [-1.4737700451812243, 0.0], 'a2': [-2.6219624871144354, 0.0], 'a3': [-0.8130548743506861, 0.0], 'a4': [4.874687283835315, 0.0], 'a5': [0.5620866249704288, 0.0], 'a6': [2.1317993805130393, 0.0], 'a7': [-5.013877146576951, 0.0], 'a8': [-7.537322220401082, 0.0], 'a9': [-2.33894177129459, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.061956976608684, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[13, [[1.0, 0], [1.0, 0]]], [463, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [13, 463], 'central_character': '6019.1', 'coefficient_field': 'CDF', 'conductor': 6019, 'conductor_radical': 6019, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.6219624871144354, 0], [2.0, 0]], [[1.0, 0], [0.8130548743506861, 0], [3.0, 0]], [[1.0, 0], [-0.5620866249704288, 0], [5.0, 0]], [[1.0, 0], [5.013877146576951, 0], [7.0, 0]], [[1.0, 0], [2.098448865469942, 0], [11.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.061956976608684, 'bad_primes': [13, 463], 'central_character': '1.1', 'conductor': 6019, 'conductor_radical': 6019, 'degree': 2, 'index': 168, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6019/2/a/c/1/5'], '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': '2-6019-1.1-c1-0-168', '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': '2-6019-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.9326731479717605, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.77658123173333422057344773867', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '984433664532738834442534817931', 'Lhash_array': ['984433664532738834442534817931'], 'label': '2-6019-1.1-c1-0-168', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6019/2/a/c/1/5'}