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lfunc_lfunctions • Show schema
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{'Lhash': '2554939627136705888228647166251', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 21.94080672439367], 'a4': [0.0, 0.0], 'a5': [0.0, -184.91559843118398], 'a6': [0.0, 0.0], 'a7': [-1051.9567329731344, 0.0], 'a8': [0.0, 0.0], 'a9': [1705.6010002828014, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.9963208154919, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '32.17', 'coefficient_field': 'CDF', 'conductor': 32, 'conductor_radical': 2, 'conjugate': '652298284553221519607558385379', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -21.94080672439367], [-2187.0, 0]], [[1.0, 0], [0, 184.91559843118398], [-78125.0, 0]], [[1.0, 0], [1051.9567329731344, 0], [823543.0, 0]], [[1.0, 0], [0, 4324.35465590873], [-19487171.0, 0]], [[1.0, 0], [0, 11253.241869394718], [-62748517.0, 0]], [[1.0, 0], [21746.408453160693, 0], [410338673.0, 0]], 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{'__RealLiteral__': 0, 'data': '6.46629586391283543646346646067', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.9963208154919, 'bad_primes': [2], 'central_character': '8.5', 'conductor': 32, 'conductor_radical': 2, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/32/8/b/a/17/4'], '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': '2-2e5-8.5-c7-0-4', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-2e5-8.5-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.16169587650234, 'root_angle': 0.27190175746098383, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '2.01549198704809618541833142767', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2554939627136705888228647166251', 'Lhash_array': ['2554939627136705888228647166251'], 'label': '2-2e5-8.5-c7-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/32/8/b/a/17/4'}