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{'Lhash': '1294837346954081373149655969828,2352917448197901127909097182741,3213372972544624814714308203700,3965766517940311784630184674413', 'a10': 0, 'a2': 0, 'a3': 6, 'a4': -2, 'a5': -6, 'a6': 0, 'a7': -2, 'a8': 0, 'a9': 21, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.238512330564218, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 0, 2, 0, 4]], [3, [1, -6, 15, -18, 9]], [7, [1, 2, -3, 14, 49]]], 'bad_primes': [2, 3, 7], 'central_character': '168.1', 'coefficient_field': '1.1.1.1', 'conductor': 796594176, 'conductor_radical': 42, 'degree': 8, 'euler_factors': [[1, 0, 2, 0, 4], [1, -6, 15, -18, 9], [1, 6, 19, 42, 84, 210, 475, 750, 625], [1, 2, -3, 14, 49], [1, -6, 13, -6, 12, -66, 1573, -7986, 14641], [1, 0, 52, 0, 1014, 0, 8788, 0, 28561], [1, 0, -34, 0, 867, 0, -9826, 0, 83521], [1, 0, -38, 0, 1083, 0, -13718, 0, 130321], [1, 0, 46, 0, 1587, 0, 24334, 0, 279841], [1, -36, 598, -5976, 39243, -173304, 502918, 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{'__RealLiteral__': 0, 'data': '1.02144656163216996523133460833', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.85612458809570943607386661198', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.53490431193428624634432690307', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 3.238512330564218, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 796594176, 'conductor_radical': 42, 'degree': 8, 'dirichlet_coefficients': [1, 0, 6, -2, -6, 0, -2, 0, 21, 0, 6, -12, 0, 0, -36, 0, 0, 0, 0, 12, -12, 0, 0, 0, 17, 0, 54, 4, 36, 0, -30, 0, 36, 0, 12, -42, 0, 0, 0, 0, 0, 0, 0, -12, -126, 0, 0, 0, 7, 0, 0, 0, 6, 0, -36, 0, 0, 0, -18, 72, 0, 0, -42, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, -12, 0, 10, 0, 108, 0, 0, 24, 0, 0, 216, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 126, -34], 'euler11': [1, -6, 13, -6, 12, -66, 1573, -7986, 14641], 'euler13': [1, 0, 52, 0, 1014, 0, 8788, 0, 28561], 'euler17': [1, 0, -34, 0, 867, 0, -9826, 0, 83521], 'euler19': [1, 0, -38, 0, 1083, 0, -13718, 0, 130321], 'euler2': [1, 0, 2, 0, 4, 0, 0, 0, 0], 'euler23': [1, 0, 46, 0, 1587, 0, 24334, 0, 279841], 'euler29': [1, -36, 598, -5976, 39243, -173304, 502918, -878004, 707281], 'euler3': [1, -6, 15, -18, 9, 0, 0, 0, 0], 'euler31': [1, 30, 431, 3930, 25500, 121830, 414191, 893730, 923521], 'euler37': [1, 0, 74, 0, 4107, 0, 101306, 0, 1874161], 'euler41': [1, 0, 164, 0, 10086, 0, 275684, 0, 2825761], 'euler43': [1, 0, -172, 0, 11094, 0, -318028, 0, 3418801], 'euler47': [1, 0, -94, 0, 6627, 0, -207646, 0, 4879681], 'euler5': [1, 6, 19, 42, 84, 210, 475, 750, 625], 'euler53': [1, -6, -29, 246, -492, 13038, -81461, -893262, 7890481], 'euler59': [1, 18, 157, 882, 5292, 52038, 546517, 3696822, 12117361], 'euler61': [1, 0, -122, 0, 11163, 0, -453962, 0, 13845841], 'euler67': [1, 0, 134, 0, 13467, 0, 601526, 0, 20151121], 'euler7': [1, 2, -3, 14, 49, 0, 0, 0, 0], 'euler71': [1, 0, -284, 0, 30246, 0, -1431644, 0, 25411681], 'euler73': [1, 0, 50, 0, -2829, 0, 266450, 0, 28398241], 'euler79': [1, -10, 79, 1370, -13700, 108230, 493039, -4930390, 38950081], 'euler83': [1, 0, -134, 0, 11067, 0, -923126, 0, 47458321], 'euler89': [1, 0, -178, 0, 23763, 0, -1409938, 0, 62742241], 'euler97': [1, 0, -190, 0, 26691, 0, -1787710, 0, 88529281], 'euler_factors': [[1, 0, 2, 0, 4, 0, 0, 0, 0], [1, -6, 15, -18, 9, 0, 0, 0, 0], [1, 6, 19, 42, 84, 210, 475, 750, 625], [1, 2, -3, 14, 49, 0, 0, 0, 0], [1, -6, 13, -6, 12, -66, 1573, -7986, 14641], [1, 0, 52, 0, 1014, 0, 8788, 0, 28561], [1, 0, -34, 0, 867, 0, -9826, 0, 83521], [1, 0, -38, 0, 1083, 0, -13718, 0, 130321], [1, 0, 46, 0, 1587, 0, 24334, 0, 279841], [1, -36, 598, -5976, 39243, -173304, 502918, -878004, 707281], [1, 30, 431, 3930, 25500, 121830, 414191, 893730, 923521], [1, 0, 74, 0, 4107, 0, 101306, 0, 1874161], [1, 0, 164, 0, 10086, 0, 275684, 0, 2825761], [1, 0, -172, 0, 11094, 0, -318028, 0, 3418801], [1, 0, -94, 0, 6627, 0, -207646, 0, 4879681], [1, -6, -29, 246, -492, 13038, -81461, -893262, 7890481], [1, 18, 157, 882, 5292, 52038, 546517, 3696822, 12117361], [1, 0, -122, 0, 11163, 0, -453962, 0, 13845841], [1, 0, 134, 0, 13467, 0, 601526, 0, 20151121], [1, 0, -284, 0, 30246, 0, -1431644, 0, 25411681], [1, 0, 50, 0, -2829, 0, 266450, 0, 28398241], [1, -10, 79, 1370, -13700, 108230, 493039, -4930390, 38950081], [1, 0, -134, 0, 11067, 0, -923126, 0, 47458321], [1, 0, -178, 0, 23763, 0, -1409938, 0, 62742241], [1, 0, -190, 0, 26691, 0, -1787710, 0, 88529281]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/168/2/ba/b'], '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': '8-168e4-1.1-c1e4-0-6', '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': '8-168e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.1582256921505028, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1014260639456792675, 'z1': {'__RealLiteral__': 0, 'data': '1.02144656163216996523133460833', 'prec': 103}}
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{'Lhash': '1294837346954081373149655969828,2352917448197901127909097182741,3213372972544624814714308203700,3965766517940311784630184674413', 'Lhash_array': ['1294837346954081373149655969828', '2352917448197901127909097182741', '3213372972544624814714308203700', '3965766517940311784630184674413'], 'label': '8-168e4-1.1-c1e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/168/2/ba/b'}