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{'Lhash': '1757811701982111356344177688923,1916069384771958429793050318243,2628952715420751618970233105824,3423565272346509397068836747666', 'a10': -15, 'a2': 3, 'a3': 4, 'a4': 7, 'a5': -5, 'a6': 12, 'a7': -2, 'a8': 15, 'a9': 13, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 45.356744149402594, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [1, 5, 15, 25, 25]], [13, [1, -1, 1, -1, 1]]], 'bad_primes': [5, 13], 'central_character': '325.1', 'coefficient_field': '1.1.1.1', 'conductor': 11156640625, 'conductor_radical': 65, 'degree': 8, 'euler_factors': [[1, -3, 2, 0, 1, 0, 8, -24, 16], [1, -4, 3, 10, -29, 30, 27, -108, 81], [1, 5, 15, 25, 25], [1, 2, 7, 20, 121, 140, 343, 686, 2401], [1, -3, 8, -51, 265, -561, 968, -3993, 14641], [1, -1, 1, -1, 1], [1, 2, 7, 70, 441, 1190, 2023, 9826, 83521], [1, -5, 6, 65, -439, 1235, 2166, -34295, 130321], [1, 11, 73, 475, 2796, 10925, 38617, 133837, 279841], [1, 0, -29, 0, 841, 0, -24389, 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{'algebraic': True, 'analytic_conductor': 45.356744149402594, 'bad_primes': [5, 13], 'central_character': '1.1', 'conductor': 11156640625, 'conductor_radical': 65, 'degree': 8, 'dirichlet_coefficients': [1, 3, 4, 7, -5, 12, -2, 15, 13, -15, 3, 28, 1, -6, -20, 30, -2, 39, 5, -35, -8, 9, -11, 60, 10, 3, 30, -14, 0, -60, 3, 57, 12, -6, 10, 91, -2, 15, 4, -75, -7, -24, 4, 21, -65, -33, 18, 120, -3, 30, -8, 7, -11, 90, -15, -30, 20, 0, -5, -140, 8, 9, -26, 96, -5, 36, -17, -14, -44, 30, -12, 195, 19, -6, 40, 35, -6, 12, 0, -150, 70, -21, -31, -56, 10, 12, 0, 45, -25, -195, -2, -77, 12, 54, -25, 228, -7, -9, 39, 70], 'euler11': [1, -3, 8, -51, 265, -561, 968, -3993, 14641], 'euler13': [1, -1, 1, -1, 1, 0, 0, 0, 0], 'euler17': [1, 2, 7, 70, 441, 1190, 2023, 9826, 83521], 'euler19': [1, -5, 6, 65, -439, 1235, 2166, -34295, 130321], 'euler2': [1, -3, 2, 0, 1, 0, 8, -24, 16], 'euler23': [1, 11, 73, 475, 2796, 10925, 38617, 133837, 279841], 'euler29': [1, 0, -29, 0, 841, 0, -24389, 0, 707281], 'euler3': [1, -4, 3, 10, -29, 30, 27, -108, 81], 'euler31': [1, -3, 23, -171, 1600, -5301, 22103, -89373, 923521], 'euler37': [1, 2, 27, 160, 1841, 5920, 36963, 101306, 1874161], 'euler41': [1, 7, -17, -331, -1320, -13571, -28577, 482447, 2825761], 'euler43': [1, -4, 138, -440, 8531, -18920, 255162, -318028, 3418801], 'euler47': [1, -18, 137, -990, 7951, -46530, 302633, -1868814, 4879681], 'euler5': [1, 5, 15, 25, 25, 0, 0, 0, 0], 'euler53': [1, 11, 23, -475, -5824, -25175, 64607, 1637647, 7890481], 'euler59': [1, 5, -44, 25, 3801, 1475, -153164, 1026895, 12117361], 'euler61': [1, -8, 123, -766, 10325, -46726, 457683, -1815848, 13845841], 'euler67': [1, 17, 117, 1165, 13436, 78055, 525213, 5112971, 20151121], 'euler7': [1, 2, 7, 20, 121, 140, 343, 686, 2401], 'euler71': [1, 12, -17, -666, -3185, -47286, -85697, 4294932, 25411681], 'euler73': [1, -19, 78, 265, -2809, 19345, 415662, -7391323, 28398241], 'euler79': [1, 0, 11, -510, 4711, -40290, 68651, 0, 38950081], 'euler83': [1, 31, 328, 695, -8679, 57685, 2259592, 17725397, 47458321], 'euler89': [1, 25, 286, 3125, 34671, 278125, 2265406, 17624225, 62742241], 'euler97': [1, 7, -3, -775, -4204, -75175, -28227, 6388711, 88529281], 'euler_factors': [[1, -3, 2, 0, 1, 0, 8, -24, 16], [1, -4, 3, 10, -29, 30, 27, -108, 81], [1, 5, 15, 25, 25, 0, 0, 0, 0], [1, 2, 7, 20, 121, 140, 343, 686, 2401], [1, -3, 8, -51, 265, -561, 968, -3993, 14641], [1, -1, 1, -1, 1, 0, 0, 0, 0], [1, 2, 7, 70, 441, 1190, 2023, 9826, 83521], [1, -5, 6, 65, -439, 1235, 2166, -34295, 130321], [1, 11, 73, 475, 2796, 10925, 38617, 133837, 279841], [1, 0, -29, 0, 841, 0, -24389, 0, 707281], [1, -3, 23, -171, 1600, -5301, 22103, -89373, 923521], [1, 2, 27, 160, 1841, 5920, 36963, 101306, 1874161], [1, 7, -17, -331, -1320, -13571, -28577, 482447, 2825761], [1, -4, 138, -440, 8531, -18920, 255162, -318028, 3418801], [1, -18, 137, -990, 7951, -46530, 302633, -1868814, 4879681], [1, 11, 23, -475, -5824, -25175, 64607, 1637647, 7890481], [1, 5, -44, 25, 3801, 1475, -153164, 1026895, 12117361], [1, -8, 123, -766, 10325, -46726, 457683, -1815848, 13845841], [1, 17, 117, 1165, 13436, 78055, 525213, 5112971, 20151121], [1, 12, -17, -666, -3185, -47286, -85697, 4294932, 25411681], [1, -19, 78, 265, -2809, 19345, 415662, -7391323, 28398241], [1, 0, 11, -510, 4711, -40290, 68651, 0, 38950081], [1, 31, 328, 695, -8679, 57685, 2259592, 17725397, 47458321], [1, 25, 286, 3125, 34671, 278125, 2265406, 17624225, 62742241], [1, 7, -3, -775, -4204, -75175, -28227, 6388711, 88529281]], 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/325/2/l/a'], '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': '8-325e4-1.1-c1e4-0-8', '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': '8-325e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.610943222367447, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1779047151089717684, 'z1': {'__RealLiteral__': 0, 'data': '1.38666893043369579620537530184', 'prec': 103}}
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{'Lhash': '1757811701982111356344177688923,1916069384771958429793050318243,2628952715420751618970233105824,3423565272346509397068836747666', 'Lhash_array': ['1757811701982111356344177688923', '1916069384771958429793050318243', '2628952715420751618970233105824', '3423565272346509397068836747666'], 'label': '8-325e4-1.1-c1e4-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/325/2/l/a'}