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{'Lhash': '1335591189903514202029666800304,1575541411217240548424826121474,1723421538922766793989661050109,1786303828365842900116091121343', 'a10': -8, 'a2': -4, 'a3': -4, 'a4': 10, 'a5': 2, 'a6': 16, 'a7': 4, 'a8': -20, 'a9': 3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2652463.2679973585, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 4, 6, 4, 1]], [7, [1, -4, 6, -4, 1]], [19, [1]]], 'bad_primes': [2, 7, 19], 'central_character': '5054.1', 'coefficient_field': '1.1.1.1', 'conductor': 652440557783056, 'conductor_radical': 266, 'degree': 8, 'euler_factors': [[1, 4, 6, 4, 1], [1, 4, 13, 30, 61, 90, 117, 108, 81], [1, -2, 14, -28, 91, -140, 350, -250, 625], [1, -4, 6, -4, 1], [1, -4, 30, -96, 479, -1056, 3630, -5324, 14641], [1, -2, 41, -86, 729, -1118, 6929, -4394, 28561], [1, -2, 57, -70, 1341, -1190, 16473, -9826, 83521], [1], [1, -4, 78, -240, 2591, -5520, 41262, -48668, 279841], [1, 12, 150, 1032, 6999, 29928, 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'trace_hash': 880915779521993365, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.05359567507249449626605028299', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.24288302386602278242716964416', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.35953987527200304401341289896', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 2652463.2679973585, 'bad_primes': [2, 7, 19], 'central_character': '1.1', 'conductor': 652440557783056, 'conductor_radical': 266, 'degree': 8, 'dirichlet_coefficients': [1, -4, -4, 10, 2, 16, 4, -20, 3, -8, 4, -40, 2, -16, -8, 35, 2, -12, 0, 20, -16, -16, 4, 80, -10, -8, 10, 40, -12, 32, -14, -56, -16, -8, 8, 30, -24, 0, -8, -40, 0, 64, 14, 40, 6, -16, -2, -140, 10, 40, -8, 20, 0, -40, 8, -80, 0, 48, -2, -80, 2, 56, 12, 84, 4, 64, -22, 20, -16, -32, -4, -60, 10, 96, 40, 0, 16, 32, -2, 70, -20, 0, 0, -160, 4, -56, 48, -80, -10, -24, 8, 40, 56, 8, 0, 224, 22, -40, 12, -100], 'euler11': [1, -4, 30, -96, 479, -1056, 3630, -5324, 14641], 'euler13': [1, -2, 41, -86, 729, -1118, 6929, -4394, 28561], 'euler17': [1, -2, 57, -70, 1341, -1190, 16473, -9826, 83521], 'euler19': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler2': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler23': [1, -4, 78, -240, 2591, -5520, 41262, -48668, 279841], 'euler29': [1, 12, 150, 1032, 6999, 29928, 126150, 292668, 707281], 'euler3': [1, 4, 13, 30, 61, 90, 117, 108, 81], 'euler31': [1, 14, 150, 1096, 7139, 33976, 144150, 417074, 923521], 'euler37': [1, 24, 314, 2768, 18939, 102416, 429866, 1215672, 1874161], 'euler41': [1, 0, 69, 310, 2501, 12710, 115989, 0, 2825761], 'euler43': [1, -14, 203, -1740, 13581, -74820, 375347, -1113098, 3418801], 'euler47': [1, 2, 62, -320, 691, -15040, 136958, 207646, 4879681], 'euler5': [1, -2, 14, -28, 91, -140, 350, -250, 625], 'euler53': [1, 0, 122, -160, 8219, -8480, 342698, 0, 7890481], 'euler59': [1, 2, 150, 552, 10859, 32568, 522150, 410758, 12117361], 'euler61': [1, -2, 118, -204, 10355, -12444, 439078, -453962, 13845841], 'euler67': [1, 22, 287, 2200, 17361, 147400, 1288343, 6616786, 20151121], 'euler7': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler71': [1, 4, 120, 36, 6014, 2556, 604920, 1431644, 25411681], 'euler73': [1, -10, 177, -1430, 16989, -104390, 943233, -3890170, 28398241], 'euler79': [1, 2, 75, 1132, 1589, 89428, 468075, 986078, 38950081], 'euler83': [1, 0, 132, 0, 17814, 0, 909348, 0, 47458321], 'euler89': [1, 10, 241, 2630, 28261, 234070, 1908961, 7049690, 62742241], 'euler97': [1, -22, 322, -2860, 26911, -277420, 3029698, -20078806, 88529281], 'euler_factors': [[1, 4, 6, 4, 1, 0, 0, 0, 0], [1, 4, 13, 30, 61, 90, 117, 108, 81], [1, -2, 14, -28, 91, -140, 350, -250, 625], [1, -4, 6, -4, 1, 0, 0, 0, 0], [1, -4, 30, -96, 479, -1056, 3630, -5324, 14641], [1, -2, 41, -86, 729, -1118, 6929, -4394, 28561], [1, -2, 57, -70, 1341, -1190, 16473, -9826, 83521], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -4, 78, -240, 2591, -5520, 41262, -48668, 279841], [1, 12, 150, 1032, 6999, 29928, 126150, 292668, 707281], [1, 14, 150, 1096, 7139, 33976, 144150, 417074, 923521], [1, 24, 314, 2768, 18939, 102416, 429866, 1215672, 1874161], [1, 0, 69, 310, 2501, 12710, 115989, 0, 2825761], [1, -14, 203, -1740, 13581, -74820, 375347, -1113098, 3418801], [1, 2, 62, -320, 691, -15040, 136958, 207646, 4879681], [1, 0, 122, -160, 8219, -8480, 342698, 0, 7890481], [1, 2, 150, 552, 10859, 32568, 522150, 410758, 12117361], [1, -2, 118, -204, 10355, -12444, 439078, -453962, 13845841], [1, 22, 287, 2200, 17361, 147400, 1288343, 6616786, 20151121], [1, 4, 120, 36, 6014, 2556, 604920, 1431644, 25411681], [1, -10, 177, -1430, 16989, -104390, 943233, -3890170, 28398241], [1, 2, 75, 1132, 1589, 89428, 468075, 986078, 38950081], [1, 0, 132, 0, 17814, 0, 909348, 0, 47458321], [1, 10, 241, 2630, 28261, 234070, 1908961, 7049690, 62742241], [1, -22, 322, -2860, 26911, -277420, 3029698, -20078806, 88529281]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5054/2/a/v'], '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': '8-5054e4-1.1-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': 4, 'prelabel': '8-5054e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.352668193881617, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 880915779521993365, 'z1': {'__RealLiteral__': 0, 'data': '1.05359567507249449626605028299', 'prec': 103}}
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{'Lhash': '1335591189903514202029666800304,1575541411217240548424826121474,1723421538922766793989661050109,1786303828365842900116091121343', 'Lhash_array': ['1335591189903514202029666800304', '1575541411217240548424826121474', '1723421538922766793989661050109', '1786303828365842900116091121343'], 'label': '8-5054e4-1.1-c1e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5054/2/a/v'}