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{'Lhash': '1079206903883743822665590603227,1136014238454901856907371484532,1436969755607524024720190356310,2516985026098911457221136438238', 'a10': 0, 'a2': -2, 'a3': -1, 'a4': 1, 'a5': 0, 'a6': 2, 'a7': 2, 'a8': 2, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 361.30918231736183, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 2, 3, 2, 1]], [3, [1, 1, -2, 3, 9]], [7, [1, -2, 15, -14, 49]], [13, [1, -14, 75, -182, 169]]], 'bad_primes': [2, 3, 7, 13], 'central_character': '546.1', 'coefficient_field': '1.1.1.1', 'conductor': 88873149456, 'conductor_radical': 546, 'degree': 8, 'euler_factors': [[1, 2, 3, 2, 1], [1, 1, -2, 3, 9], [1, 0, -13, 0, 84, 0, -325, 0, 625], [1, -2, 15, -14, 49], [1, 3, -7, -18, 36, -198, -847, 3993, 14641], [1, -14, 75, -182, 169], [1, 3, -19, -18, 342, -306, -5491, 14739, 83521], [1, -1, -29, 8, 520, 152, -10469, -6859, 130321], [1, 9, 77, 450, 2592, 10350, 40733, 109503, 279841], [1, 3, 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{'algebraic': True, 'analytic_conductor': 361.30918231736183, 'bad_primes': [2, 3, 7, 13], 'central_character': '1.1', 'conductor': 88873149456, 'conductor_radical': 546, 'degree': 8, 'dirichlet_coefficients': [1, -2, -1, 1, 0, 2, 2, 2, 3, 0, -3, -1, 14, -4, 0, -4, -3, -6, 1, 0, -2, 6, -9, -2, 13, -28, -8, 2, -3, 0, 4, 2, 3, 6, 0, 3, -6, -2, -14, 0, 27, 4, 8, -3, 0, 18, 0, 4, -11, -26, 3, 14, 0, 16, 0, 4, -1, 6, 27, 0, 18, -8, 6, 3, 0, -6, 6, -3, 9, 0, 15, 6, -20, 12, -13, 1, -6, 28, 50, 0, 8, -54, 0, -2, 0, -16, 3, -6, -3, 0, 28, -9, -4, 0, 0, -2, 10, 22, -9, 13], 'euler11': [1, 3, -7, -18, 36, -198, -847, 3993, 14641], 'euler13': [1, -14, 75, -182, 169, 0, 0, 0, 0], 'euler17': [1, 3, -19, -18, 342, -306, -5491, 14739, 83521], 'euler19': [1, -1, -29, 8, 520, 152, -10469, -6859, 130321], 'euler2': [1, 2, 3, 2, 1, 0, 0, 0, 0], 'euler23': [1, 9, 77, 450, 2592, 10350, 40733, 109503, 279841], 'euler29': [1, 3, 59, 168, 2382, 4872, 49619, 73167, 707281], 'euler3': [1, 1, -2, 3, 9, 0, 0, 0, 0], 'euler31': [1, -4, 64, -244, 3070, -7564, 61504, -119164, 923521], 'euler37': [1, 6, -10, -132, -441, -4884, -13690, 303918, 1874161], 'euler41': [1, -27, 383, -3780, 27882, -154980, 643823, -1860867, 2825761], 'euler43': [1, -8, -38, -128, 5803, -5504, -70262, -636056, 3418801], 'euler47': [1, 0, -169, 0, 11484, 0, -373321, 0, 4879681], 'euler5': [1, 0, -13, 0, 84, 0, -325, 0, 625], 'euler53': [1, 0, -1, 0, -4488, 0, -2809, 0, 7890481], 'euler59': [1, -27, 419, -4752, 41832, -280368, 1458539, -5545233, 12117361], 'euler61': [1, -18, 257, -2682, 25068, -163602, 956297, -4085658, 13845841], 'euler67': [1, -6, 50, -228, -2241, -15276, 224450, -1804578, 20151121], 'euler7': [1, -2, 15, -14, 49, 0, 0, 0, 0], 'euler71': [1, -15, 101, 270, -5640, 19170, 509141, -5368665, 25411681], 'euler73': [1, 20, 376, 4220, 44302, 308060, 2003704, 7780340, 28398241], 'euler79': [1, -50, 1237, -19250, 204868, -1520750, 7720117, -24651950, 38950081], 'euler83': [1, 0, -304, 0, 36750, 0, -2094256, 0, 47458321], 'euler89': [1, 3, 47, 132, -5718, 11748, 372287, 2114907, 62742241], 'euler97': [1, -10, -86, 80, 15487, 7760, -809174, -9126730, 88529281], 'euler_factors': [[1, 2, 3, 2, 1, 0, 0, 0, 0], [1, 1, -2, 3, 9, 0, 0, 0, 0], [1, 0, -13, 0, 84, 0, -325, 0, 625], [1, -2, 15, -14, 49, 0, 0, 0, 0], [1, 3, -7, -18, 36, -198, -847, 3993, 14641], [1, -14, 75, -182, 169, 0, 0, 0, 0], [1, 3, -19, -18, 342, -306, -5491, 14739, 83521], [1, -1, -29, 8, 520, 152, -10469, -6859, 130321], [1, 9, 77, 450, 2592, 10350, 40733, 109503, 279841], [1, 3, 59, 168, 2382, 4872, 49619, 73167, 707281], [1, -4, 64, -244, 3070, -7564, 61504, -119164, 923521], [1, 6, -10, -132, -441, -4884, -13690, 303918, 1874161], [1, -27, 383, -3780, 27882, -154980, 643823, -1860867, 2825761], [1, -8, -38, -128, 5803, -5504, -70262, -636056, 3418801], [1, 0, -169, 0, 11484, 0, -373321, 0, 4879681], [1, 0, -1, 0, -4488, 0, -2809, 0, 7890481], [1, -27, 419, -4752, 41832, -280368, 1458539, -5545233, 12117361], [1, -18, 257, -2682, 25068, -163602, 956297, -4085658, 13845841], [1, -6, 50, -228, -2241, -15276, 224450, -1804578, 20151121], [1, -15, 101, 270, -5640, 19170, 509141, -5368665, 25411681], [1, 20, 376, 4220, 44302, 308060, 2003704, 7780340, 28398241], [1, -50, 1237, -19250, 204868, -1520750, 7720117, -24651950, 38950081], [1, 0, -304, 0, 36750, 0, -2094256, 0, 47458321], [1, 3, 47, 132, -5718, 11748, 372287, 2114907, 62742241], [1, -10, -86, 80, 15487, 7760, -809174, -9126730, 88529281]], 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/546/2/q/e'], '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': '8-546e4-1.1-c1e4-0-18', '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': '8-546e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.0880210608042034, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 279461796113294083, 'z1': {'__RealLiteral__': 0, 'data': '0.851344135118495632976285358205', 'prec': 107}}
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{'Lhash': '1079206903883743822665590603227,1136014238454901856907371484532,1436969755607524024720190356310,2516985026098911457221136438238', 'Lhash_array': ['1079206903883743822665590603227', '1136014238454901856907371484532', '1436969755607524024720190356310', '2516985026098911457221136438238'], 'label': '8-546e4-1.1-c1e4-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/546/2/q/e'}