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{'Lhash': '1561637951460582988007362163932,1836591321490560208823176636726,2028974016355860943216149895476,3163424815800413965308438835328', 'a10': 0, 'a2': -4, 'a3': 4, 'a4': 8, 'a5': 0, 'a6': -16, 'a7': 0, 'a8': -8, 'a9': 8, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.504717062986346, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 4, 8, 8, 4]], [5, [1]]], 'bad_primes': [2, 5], 'central_character': '200.1', 'coefficient_field': '1.1.1.1', 'conductor': 1600000000, 'conductor_radical': 10, 'degree': 8, 'euler_factors': [[1, 4, 8, 8, 4], [1, -4, 8, -8, 7, -24, 72, -108, 81], [1], [1, 0, 0, 0, 98, 0, 0, 0, 2401], [1, -12, 86, -432, 1659, -4752, 10406, -15972, 14641], [1, 0, 0, 0, 338, 0, 0, 0, 28561], [1, -8, 32, 16, -353, 272, 9248, -39304, 83521], [1, 0, 34, 0, 795, 0, 12274, 0, 130321], [1, 0, 0, 0, 1058, 0, 0, 0, 279841], [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], [1, 0, -124, 0, 5766, 0, -119164, 0, 923521], [1, 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{'algebraic': True, 'analytic_conductor': 6.504717062986346, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 1600000000, 'conductor_radical': 10, 'degree': 8, 'dirichlet_coefficients': [1, -4, 4, 8, 0, -16, 0, -8, 8, 0, 12, 32, 0, 0, 0, -4, 8, -32, 0, 0, 0, -48, 0, -32, 0, 0, 8, 0, 0, 0, 0, 32, 48, -32, 0, 64, 0, 0, 0, 0, 12, 0, -24, 96, 0, 0, 0, -16, 0, 0, 32, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, -192, -12, 64, 0, 0, 0, -64, 24, 0, 0, 0, 0, 0, 0, 0, -7, -48, 4, 0, 0, 96, 0, -96, 0, 0, 0, 0, 0, 0, 0, 128, -48, 0, 96, 0], 'euler11': [1, -12, 86, -432, 1659, -4752, 10406, -15972, 14641], 'euler13': [1, 0, 0, 0, 338, 0, 0, 0, 28561], 'euler17': [1, -8, 32, 16, -353, 272, 9248, -39304, 83521], 'euler19': [1, 0, 34, 0, 795, 0, 12274, 0, 130321], 'euler2': [1, 4, 8, 8, 4, 0, 0, 0, 0], 'euler23': [1, 0, 0, 0, 1058, 0, 0, 0, 279841], 'euler29': [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], 'euler3': [1, -4, 8, -8, 7, -24, 72, -108, 81], 'euler31': [1, 0, -124, 0, 5766, 0, -119164, 0, 923521], 'euler37': [1, 0, 0, 0, 2738, 0, 0, 0, 1874161], 'euler41': [1, -12, 26, -432, 6339, -17712, 43706, -827052, 2825761], 'euler43': [1, 24, 288, 2760, 21266, 118680, 532512, 1908168, 3418801], 'euler47': [1, 0, 0, 0, 4418, 0, 0, 0, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, 0, 0, 5618, 0, 0, 0, 7890481], 'euler59': [1, 0, -164, 0, 13686, 0, -570884, 0, 12117361], 'euler61': [1, 0, -244, 0, 22326, 0, -907924, 0, 13845841], 'euler67': [1, 12, 72, -744, -8953, -49848, 323208, 3609156, 20151121], 'euler7': [1, 0, 0, 0, 98, 0, 0, 0, 2401], 'euler71': [1, 0, -284, 0, 30246, 0, -1431644, 0, 25411681], 'euler73': [1, -24, 288, -3408, 35567, -248784, 1534752, -9336408, 28398241], 'euler79': [1, 0, 316, 0, 37446, 0, 1972156, 0, 38950081], 'euler83': [1, -4, 8, 632, -8153, 52456, 55112, -2287148, 47458321], 'euler89': [1, 0, -146, 0, 13395, 0, -1156466, 0, 62742241], 'euler97': [1, 48, 1152, 18480, 213506, 1792560, 10839168, 43808304, 88529281], 'euler_factors': [[1, 4, 8, 8, 4, 0, 0, 0, 0], [1, -4, 8, -8, 7, -24, 72, -108, 81], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 98, 0, 0, 0, 2401], [1, -12, 86, -432, 1659, -4752, 10406, -15972, 14641], [1, 0, 0, 0, 338, 0, 0, 0, 28561], [1, -8, 32, 16, -353, 272, 9248, -39304, 83521], [1, 0, 34, 0, 795, 0, 12274, 0, 130321], [1, 0, 0, 0, 1058, 0, 0, 0, 279841], [1, 0, 116, 0, 5046, 0, 97556, 0, 707281], [1, 0, -124, 0, 5766, 0, -119164, 0, 923521], [1, 0, 0, 0, 2738, 0, 0, 0, 1874161], [1, -12, 26, -432, 6339, -17712, 43706, -827052, 2825761], [1, 24, 288, 2760, 21266, 118680, 532512, 1908168, 3418801], [1, 0, 0, 0, 4418, 0, 0, 0, 4879681], [1, 0, 0, 0, 5618, 0, 0, 0, 7890481], [1, 0, -164, 0, 13686, 0, -570884, 0, 12117361], [1, 0, -244, 0, 22326, 0, -907924, 0, 13845841], [1, 12, 72, -744, -8953, -49848, 323208, 3609156, 20151121], [1, 0, -284, 0, 30246, 0, -1431644, 0, 25411681], [1, -24, 288, -3408, 35567, -248784, 1534752, -9336408, 28398241], [1, 0, 316, 0, 37446, 0, 1972156, 0, 38950081], [1, -4, 8, 632, -8153, 52456, 55112, -2287148, 47458321], [1, 0, -146, 0, 13395, 0, -1156466, 0, 62742241], [1, 48, 1152, 18480, 213506, 1792560, 10839168, 43808304, 88529281]], 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/200/2/k/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': '8-200e4-1.1-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': '8-200e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.2637278347910235, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1753976888987764316, 'z1': {'__RealLiteral__': 0, 'data': '1.23191512801668199079886864908', 'prec': 103}}
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{'Lhash': '1561637951460582988007362163932,1836591321490560208823176636726,2028974016355860943216149895476,3163424815800413965308438835328', 'Lhash_array': ['1561637951460582988007362163932', '1836591321490560208823176636726', '2028974016355860943216149895476', '3163424815800413965308438835328'], 'factors': ['2-200-40.27-c1-0-5', '2-200-40.3-c1-0-1', '2-200-40.3-c1-0-4', '2-200-40.27-c1-0-11'], 'label': '8-200e4-1.1-c1e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/200/2/k/e'}