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{'Lhash': '1612282470321395136042246210189,2213022673763867857914327347620,2585091633470298771455743736366,2872107867753686271936894120152', 'a10': -8, 'a2': -2, 'a3': 0, 'a4': 2, 'a5': 4, 'a6': 0, 'a7': 6, 'a8': -4, 'a9': -3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.74806829671438, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 2, 2, 4, 4]], [3, [1, 0, 3, 0, 9]]], 'bad_primes': [2, 3], 'central_character': '144.1', 'coefficient_field': '1.1.1.1', 'conductor': 429981696, 'conductor_radical': 6, 'degree': 8, 'euler_factors': [[1, 2, 2, 4, 4], [1, 0, 3, 0, 9], [1, -4, 20, -52, 151, -260, 500, -500, 625], [1, -6, 28, -96, 291, -672, 1372, -2058, 2401], [1, -8, 41, -152, 532, -1672, 4961, -10648, 14641], [1, -14, 74, -168, 263, -2184, 12506, -30758, 28561], [1, 16, 158, 1024, 4963, 17408, 45662, 78608, 83521], [1, 6, 18, 132, 959, 2508, 6498, 41154, 130321], [1, 6, 52, 240, 1347, 5520, 27508, 73002, 279841], [1, -6, 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-
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{'algebraic': True, 'analytic_conductor': 1.74806829671438, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 429981696, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, -2, 0, 2, 4, 0, 6, -4, -3, -8, 8, 0, 14, -12, 0, 8, -16, 6, -6, 8, 0, -16, -6, 0, -4, -28, 0, 12, 6, 0, -8, -8, 0, 32, 24, -6, 12, 12, 0, -16, 0, 0, 2, 16, -12, 12, -2, 0, 8, 8, 0, 28, -16, 0, 32, -24, 0, -12, 12, 0, 24, 16, -18, 8, 56, 0, -14, -32, 0, -48, 0, 12, 0, -24, 0, -12, 48, 0, -24, 32, 0, 0, -2, 0, -64, -4, 0, -32, 0, 24, 84, -12, 0, 4, -24, 0, -20, -16, -24, -8], 'euler11': [1, -8, 41, -152, 532, -1672, 4961, -10648, 14641], 'euler13': [1, -14, 74, -168, 263, -2184, 12506, -30758, 28561], 'euler17': [1, 16, 158, 1024, 4963, 17408, 45662, 78608, 83521], 'euler19': [1, 6, 18, 132, 959, 2508, 6498, 41154, 130321], 'euler2': [1, 2, 2, 4, 4, 0, 0, 0, 0], 'euler23': [1, 6, 52, 240, 1347, 5520, 27508, 73002, 279841], 'euler29': [1, -6, 18, -36, -457, -1044, 15138, -146334, 707281], 'euler3': [1, 0, 3, 0, 9, 0, 0, 0, 0], 'euler31': [1, 8, -2, 32, 1411, 992, -1922, 238328, 923521], 'euler37': [1, -12, 72, -588, 4658, -21756, 98568, -607836, 1874161], 'euler41': [1, 0, 73, 0, 3648, 0, 122713, 0, 2825761], 'euler43': [1, -2, 65, -426, 2744, -18318, 120185, -159014, 3418801], 'euler47': [1, 2, -16, -148, -1997, -6956, -35344, 207646, 4879681], 'euler5': [1, -4, 20, -52, 151, -260, 500, -500, 625], 'euler53': [1, 16, 128, 976, 7378, 51728, 359552, 2382032, 7890481], 'euler59': [1, -12, 45, 828, -9748, 48852, 156645, -2464548, 12117361], 'euler61': [1, -24, 180, 300, -11209, 18300, 669780, -5447544, 13845841], 'euler67': [1, 14, 113, 726, 3848, 48642, 507257, 4210682, 20151121], 'euler7': [1, -6, 28, -96, 291, -672, 1372, -2058, 2401], 'euler71': [1, 0, -156, 0, 13094, 0, -786396, 0, 25411681], 'euler73': [1, 0, -158, 0, 16131, 0, -841982, 0, 28398241], 'euler79': [1, 24, 274, 3456, 39459, 273024, 1710034, 11832936, 38950081], 'euler83': [1, 2, 2, -328, -7217, -27224, 13778, 1143574, 47458321], 'euler89': [1, 0, -348, 0, 46118, 0, -2756508, 0, 62742241], 'euler97': [1, 20, 109, 1940, 36472, 188180, 1025581, 18253460, 88529281], 'euler_factors': [[1, 2, 2, 4, 4, 0, 0, 0, 0], [1, 0, 3, 0, 9, 0, 0, 0, 0], [1, -4, 20, -52, 151, -260, 500, -500, 625], [1, -6, 28, -96, 291, -672, 1372, -2058, 2401], [1, -8, 41, -152, 532, -1672, 4961, -10648, 14641], [1, -14, 74, -168, 263, -2184, 12506, -30758, 28561], [1, 16, 158, 1024, 4963, 17408, 45662, 78608, 83521], [1, 6, 18, 132, 959, 2508, 6498, 41154, 130321], [1, 6, 52, 240, 1347, 5520, 27508, 73002, 279841], [1, -6, 18, -36, -457, -1044, 15138, -146334, 707281], [1, 8, -2, 32, 1411, 992, -1922, 238328, 923521], [1, -12, 72, -588, 4658, -21756, 98568, -607836, 1874161], [1, 0, 73, 0, 3648, 0, 122713, 0, 2825761], [1, -2, 65, -426, 2744, -18318, 120185, -159014, 3418801], [1, 2, -16, -148, -1997, -6956, -35344, 207646, 4879681], [1, 16, 128, 976, 7378, 51728, 359552, 2382032, 7890481], [1, -12, 45, 828, -9748, 48852, 156645, -2464548, 12117361], [1, -24, 180, 300, -11209, 18300, 669780, -5447544, 13845841], [1, 14, 113, 726, 3848, 48642, 507257, 4210682, 20151121], [1, 0, -156, 0, 13094, 0, -786396, 0, 25411681], [1, 0, -158, 0, 16131, 0, -841982, 0, 28398241], [1, 24, 274, 3456, 39459, 273024, 1710034, 11832936, 38950081], [1, 2, 2, -328, -7217, -27224, 13778, 1143574, 47458321], [1, 0, -348, 0, 46118, 0, -2756508, 0, 62742241], [1, 20, 109, 1940, 36472, 188180, 1025581, 18253460, 88529281]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/144/2/x/c'], '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': '8-12e8-1.1-c1e4-0-3', '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': '8-12e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.072308625865911, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2085719803473705744, 'z1': {'__RealLiteral__': 0, 'data': '1.27186660900970486748029768107', 'prec': 103}}
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{'Lhash': '1612282470321395136042246210189,2213022673763867857914327347620,2585091633470298771455743736366,2872107867753686271936894120152', 'Lhash_array': ['1612282470321395136042246210189', '2213022673763867857914327347620', '2585091633470298771455743736366', '2872107867753686271936894120152'], 'label': '8-12e8-1.1-c1e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/144/2/x/c'}