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{'Lhash': '630560925123959019890191509262,769366534171119630678966963205,1780358834278752332785908751785,2204241743966899553764247211326', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 4, 'a5': 0, 'a6': 0, 'a7': -4, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 25016.73686749474, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1]], [5, [1]], [7, [1, 4, 18, 28, 49]]], 'bad_primes': [3, 5, 7], 'central_character': '1575.1', 'coefficient_field': '1.1.1.1', 'conductor': 6153500390625, 'conductor_radical': 105, 'degree': 8, 'euler_factors': [[1, 0, -4, 0, 9, 0, -16, 0, 16], [1], [1], [1, 4, 18, 28, 49], [1, 0, -16, 0, 114, 0, -1936, 0, 14641], [1, 0, -4, 0, -90, 0, -676, 0, 28561], [1, 0, 44, 0, 1062, 0, 12716, 0, 83521], [1, 0, -28, 0, 486, 0, -10108, 0, 130321], [1, 0, -88, 0, 2994, 0, -46552, 0, 279841], [1, 0, -112, 0, 4818, 0, -94192, 0, 707281], [1, 0, -76, 0, 2934, 0, -73036, 0, 923521], [1, 8, 148, 824, 8278, 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{'algebraic': True, 'analytic_conductor': 25016.73686749474, 'bad_primes': [3, 5, 7], 'central_character': '1.1', 'conductor': 6153500390625, 'conductor_radical': 105, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, -24, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 8, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -16, 0, 114, 0, -1936, 0, 14641], 'euler13': [1, 0, -4, 0, -90, 0, -676, 0, 28561], 'euler17': [1, 0, 44, 0, 1062, 0, 12716, 0, 83521], 'euler19': [1, 0, -28, 0, 486, 0, -10108, 0, 130321], 'euler2': [1, 0, -4, 0, 9, 0, -16, 0, 16], 'euler23': [1, 0, -88, 0, 2994, 0, -46552, 0, 279841], 'euler29': [1, 0, -112, 0, 4818, 0, -94192, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, -76, 0, 2934, 0, -73036, 0, 923521], 'euler37': [1, 8, 148, 824, 8278, 30488, 202612, 405224, 1874161], 'euler41': [1, 0, -52, 0, 4038, 0, -87412, 0, 2825761], 'euler43': [1, 8, 100, 680, 6838, 29240, 184900, 636056, 3418801], 'euler47': [1, 24, 380, 3960, 31878, 186120, 839420, 2491752, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -88, 0, 5826, 0, -247192, 0, 7890481], 'euler59': [1, -24, 428, -4824, 44118, -284616, 1489868, -4929096, 12117361], 'euler61': [1, 0, -52, 0, 1206, 0, -193492, 0, 13845841], 'euler67': [1, -16, 268, -2704, 27958, -181168, 1203052, -4812208, 20151121], 'euler7': [1, 4, 18, 28, 49, 0, 0, 0, 0], 'euler71': [1, 0, 32, 0, 5538, 0, 161312, 0, 25411681], 'euler73': [1, 0, -244, 0, 25110, 0, -1300276, 0, 28398241], 'euler79': [1, 16, 316, 3280, 38470, 259120, 1972156, 7888624, 38950081], 'euler83': [1, -24, 524, -6552, 73782, -543816, 3609836, -13722888, 47458321], 'euler89': [1, -24, 476, -6120, 69030, -544680, 3770396, -16919256, 62742241], 'euler97': [1, 0, -52, 0, 15606, 0, -489268, 0, 88529281], 'euler_factors': [[1, 0, -4, 0, 9, 0, -16, 0, 16], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 18, 28, 49, 0, 0, 0, 0], [1, 0, -16, 0, 114, 0, -1936, 0, 14641], [1, 0, -4, 0, -90, 0, -676, 0, 28561], [1, 0, 44, 0, 1062, 0, 12716, 0, 83521], [1, 0, -28, 0, 486, 0, -10108, 0, 130321], [1, 0, -88, 0, 2994, 0, -46552, 0, 279841], [1, 0, -112, 0, 4818, 0, -94192, 0, 707281], [1, 0, -76, 0, 2934, 0, -73036, 0, 923521], [1, 8, 148, 824, 8278, 30488, 202612, 405224, 1874161], [1, 0, -52, 0, 4038, 0, -87412, 0, 2825761], [1, 8, 100, 680, 6838, 29240, 184900, 636056, 3418801], [1, 24, 380, 3960, 31878, 186120, 839420, 2491752, 4879681], [1, 0, -88, 0, 5826, 0, -247192, 0, 7890481], [1, -24, 428, -4824, 44118, -284616, 1489868, -4929096, 12117361], [1, 0, -52, 0, 1206, 0, -193492, 0, 13845841], [1, -16, 268, -2704, 27958, -181168, 1203052, -4812208, 20151121], [1, 0, 32, 0, 5538, 0, 161312, 0, 25411681], [1, 0, -244, 0, 25110, 0, -1300276, 0, 28398241], [1, 16, 316, 3280, 38470, 259120, 1972156, 7888624, 38950081], [1, -24, 524, -6552, 73782, -543816, 3609836, -13722888, 47458321], [1, -24, 476, -6120, 69030, -544680, 3770396, -16919256, 62742241], [1, 0, -52, 0, 15606, 0, -489268, 0, 88529281]], 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1575/2/b/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': '8-1575e4-1.1-c1e4-0-12', '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': '8-1575e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.546327440938254, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1026486757231980623, 'z1': {'__RealLiteral__': 0, 'data': '0.49742486219028495809722545138', 'prec': 103}}
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{'Lhash': '630560925123959019890191509262,769366534171119630678966963205,1780358834278752332785908751785,2204241743966899553764247211326', 'Lhash_array': ['630560925123959019890191509262', '769366534171119630678966963205', '1780358834278752332785908751785', '2204241743966899553764247211326'], 'label': '8-1575e4-1.1-c1e4-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1575/2/b/b'}