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{'Lhash': '1291765179587491856312849663683,1640577453479298233796273224182,3095444764234516300242342308689,3169090158162222063363785221247', 'a10': -2, 'a2': 2, 'a3': -1, 'a4': 2, 'a5': -1, 'a6': -2, 'a7': -1, 'a8': 5, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.57594214643328, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, 1, 1, 1, 1]], [7, [1, 1, 1, 1, 1]], [11, [1, 1, 21, 11, 121]]], 'bad_primes': [3, 7, 11], 'central_character': '231.1', 'coefficient_field': '1.1.1.1', 'conductor': 2847396321, 'conductor_radical': 231, 'degree': 8, 'euler_factors': [[1, -2, 2, -5, 11, -10, 8, -16, 16], [1, 1, 1, 1, 1], [1, 1, 1, 11, 36, 55, 25, 125, 625], [1, 1, 1, 1, 1], [1, 1, 21, 11, 121], [1, -1, -12, 25, 131, 325, -2028, -2197, 28561], [1, -7, 2, 65, -169, 1105, 578, -34391, 83521], [1, 0, -19, 0, 361, 0, -6859, 0, 130321], [1, 4, 88, 260, 3006, 5980, 46552, 48668, 279841], [1, -15, 106, -675, 4171, -19575, 89146, 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{'algebraic': True, 'analytic_conductor': 11.57594214643328, 'bad_primes': [3, 7, 11], 'central_character': '1.1', 'conductor': 2847396321, 'conductor_radical': 231, 'degree': 8, 'dirichlet_coefficients': [1, 2, -1, 2, -1, -2, -1, 5, 0, -2, -1, -2, 1, -2, 1, 5, 7, 0, 0, -2, 1, -2, -4, -5, 0, 2, 0, -2, 15, 2, 13, -2, 1, 14, 1, 0, 22, 0, -1, -5, 13, 2, -4, -2, 0, -8, -18, -5, 0, 0, -7, 2, -9, 0, 1, -5, 0, 30, 15, 2, 3, 26, 0, 1, -1, 2, -28, 14, 4, 2, 13, 0, 21, 44, 0, 0, 1, -2, -15, -5, 0, 26, 6, 2, -7, -8, -15, -5, -30, 0, -1, -8, -13, -36, 0, 2, 17, 0, 0, 0], 'euler11': [1, 1, 21, 11, 121, 0, 0, 0, 0], 'euler13': [1, -1, -12, 25, 131, 325, -2028, -2197, 28561], 'euler17': [1, -7, 2, 65, -169, 1105, 578, -34391, 83521], 'euler19': [1, 0, -19, 0, 361, 0, -6859, 0, 130321], 'euler2': [1, -2, 2, -5, 11, -10, 8, -16, 16], 'euler23': [1, 4, 88, 260, 3006, 5980, 46552, 48668, 279841], 'euler29': [1, -15, 106, -675, 4171, -19575, 89146, -365835, 707281], 'euler3': [1, 1, 1, 1, 1, 0, 0, 0, 0], 'euler31': [1, -13, 48, 319, -3835, 9889, 46128, -387283, 923521], 'euler37': [1, -22, 207, -1220, 6701, -45140, 283383, -1114366, 1874161], 'euler41': [1, -13, 53, -331, 3380, -13571, 89093, -895973, 2825761], 'euler43': [1, 4, 178, 520, 11611, 22360, 329122, 318028, 3418801], 'euler47': [1, 18, 137, 990, 7951, 46530, 302633, 1868814, 4879681], 'euler5': [1, 1, 1, 11, 36, 55, 25, 125, 625], 'euler53': [1, 9, -7, -525, -3884, -27825, -19663, 1339893, 7890481], 'euler59': [1, -15, 31, 885, -10424, 52215, 107911, -3080685, 12117361], 'euler61': [1, -3, 18, 209, 675, 12749, 66978, -680943, 13845841], 'euler67': [1, 28, 552, 6860, 66926, 459620, 2477928, 8421364, 20151121], 'euler7': [1, 1, 1, 1, 1, 0, 0, 0, 0], 'euler71': [1, -13, -2, 349, 405, 24779, -10082, -4652843, 25411681], 'euler73': [1, -21, 233, -2595, 26956, -189435, 1241657, -8169357, 28398241], 'euler79': [1, 15, 11, -1185, -13064, -93615, 68651, 7395585, 38950081], 'euler83': [1, -6, -47, 780, -779, 64740, -323783, -3430722, 47458321], 'euler89': [1, 30, 691, 9660, 110181, 859740, 5473411, 21149070, 62742241], 'euler97': [1, -17, 192, -1615, 8831, -156655, 1806528, -15515441, 88529281], 'euler_factors': [[1, -2, 2, -5, 11, -10, 8, -16, 16], [1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 11, 36, 55, 25, 125, 625], [1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 1, 21, 11, 121, 0, 0, 0, 0], [1, -1, -12, 25, 131, 325, -2028, -2197, 28561], [1, -7, 2, 65, -169, 1105, 578, -34391, 83521], [1, 0, -19, 0, 361, 0, -6859, 0, 130321], [1, 4, 88, 260, 3006, 5980, 46552, 48668, 279841], [1, -15, 106, -675, 4171, -19575, 89146, -365835, 707281], [1, -13, 48, 319, -3835, 9889, 46128, -387283, 923521], [1, -22, 207, -1220, 6701, -45140, 283383, -1114366, 1874161], [1, -13, 53, -331, 3380, -13571, 89093, -895973, 2825761], [1, 4, 178, 520, 11611, 22360, 329122, 318028, 3418801], [1, 18, 137, 990, 7951, 46530, 302633, 1868814, 4879681], [1, 9, -7, -525, -3884, -27825, -19663, 1339893, 7890481], [1, -15, 31, 885, -10424, 52215, 107911, -3080685, 12117361], [1, -3, 18, 209, 675, 12749, 66978, -680943, 13845841], [1, 28, 552, 6860, 66926, 459620, 2477928, 8421364, 20151121], [1, -13, -2, 349, 405, 24779, -10082, -4652843, 25411681], [1, -21, 233, -2595, 26956, -189435, 1241657, -8169357, 28398241], [1, 15, 11, -1185, -13064, -93615, 68651, 7395585, 38950081], [1, -6, -47, 780, -779, 64740, -323783, -3430722, 47458321], [1, 30, 691, 9660, 110181, 859740, 5473411, 21149070, 62742241], [1, -17, 192, -1615, 8831, -156655, 1806528, -15515441, 88529281]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/231/2/j/d'], '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': '8-231e4-1.1-c1e4-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-231e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.3581400099737795, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1332856800878002674, 'z1': {'__RealLiteral__': 0, 'data': '1.01902304890237170695972190348', 'prec': 103}}
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{'Lhash': '1291765179587491856312849663683,1640577453479298233796273224182,3095444764234516300242342308689,3169090158162222063363785221247', 'Lhash_array': ['1291765179587491856312849663683', '1640577453479298233796273224182', '3095444764234516300242342308689', '3169090158162222063363785221247'], 'label': '8-231e4-1.1-c1e4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/231/2/j/d'}