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{'Lhash': '846236715659464353328619610665,2121641778605764252079683957343,2793769949619605084355514861041,4308995015630835346799481992655', 'a10': 0, 'a2': -2, 'a3': 0, 'a4': 2, 'a5': 0, 'a6': 0, 'a7': 0, 'a8': -4, 'a9': -6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5617825668230216, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, 2, 2, 4, 4]], [5, [1, 0, 2, 0, 1]], [7, [1, 0, 2, 0, 49]]], 'bad_primes': [2, 5, 7], 'central_character': '140.1', 'coefficient_field': '1.1.1.1', 'conductor': 384160000, 'conductor_radical': 70, 'degree': 8, 'euler_factors': [[1, 2, 2, 4, 4], [1, 0, 6, 0, 27, 0, 54, 0, 81], [1, 0, 2, 0, 1], [1, 0, 2, 0, 49], [1, 0, -30, 0, 419, 0, -3630, 0, 14641], [1, 0, -10, 0, -69, 0, -1690, 0, 28561], [1, 0, -26, 0, 315, 0, -7514, 0, 83521], [1, -24, 292, -2232, 11670, -42408, 105412, -164616, 130321], [1, 0, -60, 0, 1766, 0, -31740, 0, 279841], [1, -4, 26, -160, 2035, -4640, 21866, -97556, 707281], 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{'__RealLiteral__': 0, 'data': '0.66756306154638102591564443936', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.67368025402566070603883848501', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.20389589143618221305775567119', 'prec': 103}}
-
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{'algebraic': True, 'analytic_conductor': 1.5617825668230216, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 384160000, 'conductor_radical': 70, 'degree': 8, 'dirichlet_coefficients': [1, -2, 0, 2, 0, 0, 0, -4, -6, 0, 0, 0, 0, 0, 0, 8, 0, 12, 24, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, -24, -8, 0, 0, 0, -12, -24, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, 48, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 48, 0, 48, 0, 0, 0, 0, 9, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4], 'euler11': [1, 0, -30, 0, 419, 0, -3630, 0, 14641], 'euler13': [1, 0, -10, 0, -69, 0, -1690, 0, 28561], 'euler17': [1, 0, -26, 0, 315, 0, -7514, 0, 83521], 'euler19': [1, -24, 292, -2232, 11670, -42408, 105412, -164616, 130321], 'euler2': [1, 2, 2, 4, 4, 0, 0, 0, 0], 'euler23': [1, 0, -60, 0, 1766, 0, -31740, 0, 279841], 'euler29': [1, -4, 26, -160, 2035, -4640, 21866, -97556, 707281], 'euler3': [1, 0, 6, 0, 27, 0, 54, 0, 81], 'euler31': [1, 24, 340, 3096, 20454, 95976, 326740, 714984, 923521], 'euler37': [1, 24, 340, 3240, 22998, 119880, 465460, 1215672, 1874161], 'euler41': [1, 0, -140, 0, 8262, 0, -235340, 0, 2825761], 'euler43': [1, 0, -164, 0, 10422, 0, -303236, 0, 3418801], 'euler47': [1, 0, 182, 0, 12699, 0, 402038, 0, 4879681], 'euler5': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler53': [1, -8, 236, -1304, 19414, -69112, 662924, -1191016, 7890481], 'euler59': [1, 0, 212, 0, 18198, 0, 737972, 0, 12117361], 'euler61': [1, 0, -148, 0, 11190, 0, -550708, 0, 13845841], 'euler67': [1, 0, -244, 0, 23862, 0, -1095316, 0, 20151121], 'euler7': [1, 0, 2, 0, 49, 0, 0, 0, 0], 'euler71': [1, 0, -228, 0, 22310, 0, -1149348, 0, 25411681], 'euler73': [1, 0, -124, 0, 7590, 0, -660796, 0, 28398241], 'euler79': [1, 0, -94, 0, 3891, 0, -586654, 0, 38950081], 'euler83': [1, -48, 1172, -18288, 198198, -1517904, 8073908, -27445776, 47458321], 'euler89': [1, 0, -260, 0, 31014, 0, -2059460, 0, 62742241], 'euler97': [1, 0, -154, 0, 20859, 0, -1448986, 0, 88529281], 'euler_factors': [[1, 2, 2, 4, 4, 0, 0, 0, 0], [1, 0, 6, 0, 27, 0, 54, 0, 81], [1, 0, 2, 0, 1, 0, 0, 0, 0], [1, 0, 2, 0, 49, 0, 0, 0, 0], [1, 0, -30, 0, 419, 0, -3630, 0, 14641], [1, 0, -10, 0, -69, 0, -1690, 0, 28561], [1, 0, -26, 0, 315, 0, -7514, 0, 83521], [1, -24, 292, -2232, 11670, -42408, 105412, -164616, 130321], [1, 0, -60, 0, 1766, 0, -31740, 0, 279841], [1, -4, 26, -160, 2035, -4640, 21866, -97556, 707281], [1, 24, 340, 3096, 20454, 95976, 326740, 714984, 923521], [1, 24, 340, 3240, 22998, 119880, 465460, 1215672, 1874161], [1, 0, -140, 0, 8262, 0, -235340, 0, 2825761], [1, 0, -164, 0, 10422, 0, -303236, 0, 3418801], [1, 0, 182, 0, 12699, 0, 402038, 0, 4879681], [1, -8, 236, -1304, 19414, -69112, 662924, -1191016, 7890481], [1, 0, 212, 0, 18198, 0, 737972, 0, 12117361], [1, 0, -148, 0, 11190, 0, -550708, 0, 13845841], [1, 0, -244, 0, 23862, 0, -1095316, 0, 20151121], [1, 0, -228, 0, 22310, 0, -1149348, 0, 25411681], [1, 0, -124, 0, 7590, 0, -660796, 0, 28398241], [1, 0, -94, 0, 3891, 0, -586654, 0, 38950081], [1, -48, 1172, -18288, 198198, -1517904, 8073908, -27445776, 47458321], [1, 0, -260, 0, 31014, 0, -2059460, 0, 62742241], [1, 0, -154, 0, 20859, 0, -1448986, 0, 88529281]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/140/2/g/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': '8-140e4-1.1-c1e4-0-2', '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': '8-140e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.0573105637881075, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1259595884400598576, 'z1': {'__RealLiteral__': 0, 'data': '0.66756306154638102591564443936', 'prec': 103}}
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{'Lhash': '846236715659464353328619610665,2121641778605764252079683957343,2793769949619605084355514861041,4308995015630835346799481992655', 'Lhash_array': ['846236715659464353328619610665', '2121641778605764252079683957343', '2793769949619605084355514861041', '4308995015630835346799481992655'], 'label': '8-140e4-1.1-c1e4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/140/2/g/a'}