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{'Lhash': '702694735841133416466986237631,1200172114317978498062187375397,3449910982936921849751407732695,3521683887124452103116901700824', 'a10': 0, 'a2': 3, 'a3': 1, 'a4': 3, 'a5': 0, 'a6': 3, 'a7': 0, 'a8': 0, 'a9': 1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 669.3698663148037, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [1]], [13, [1, 14, 75, 182, 169]]], 'bad_primes': [7, 13], 'central_character': '637.1', 'coefficient_field': '1.1.1.1', 'conductor': 164648481361, 'conductor_radical': 91, 'degree': 8, 'euler_factors': [[1, -3, 6, -9, 11, -18, 24, -24, 16], [1, -1, 0, 5, -11, 15, 0, -27, 81], [1, 0, -15, 0, 101, 0, -375, 0, 625], [1], [1, 9, 54, 243, 905, 2673, 6534, 11979, 14641], [1, 14, 75, 182, 169], [1, -6, -7, -54, 948, -918, -2023, -29478, 83521], [1, -9, 56, -261, 993, -4959, 20216, -61731, 130321], [1, 6, 2, -72, -201, -1656, 1058, 73002, 279841], [1, -9, 8, -135, 2139, -3915, 6728, -219501, 707281], 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'11.32516336337575174425655259730248'], 'prelabel': '8-637e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e4-0', 'trace_hash': 2108323718923051128, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.55432840540967627536145525108', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.946768860521896181542105793764', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.92137794749078930091982327511', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 669.3698663148037, 'bad_primes': [7, 13], 'central_character': '1.1', 'conductor': 164648481361, 'conductor_radical': 91, 'degree': 8, 'dirichlet_coefficients': [1, 3, 1, 3, 0, 3, 0, 0, 1, 0, -9, 3, -14, 0, 0, -2, 6, 3, 9, 0, 0, -27, -6, 0, 15, -42, -4, 0, 9, 0, 0, 6, -9, 18, 0, 3, 24, 27, -14, 0, -18, 0, -5, -27, 0, -18, 0, -2, 0, 45, 6, -42, -12, -12, 0, 0, 9, 27, -6, 0, -2, 0, 0, 27, 0, -27, 12, 18, -6, 0, 6, 0, 0, 72, 15, 27, 0, -42, -24, 0, 2, -54, 0, 0, 0, -15, 9, 0, 33, 0, 0, -18, 0, 0, 0, 6, 39, 0, -9, 45], 'euler11': [1, 9, 54, 243, 905, 2673, 6534, 11979, 14641], 'euler13': [1, 14, 75, 182, 169, 0, 0, 0, 0], 'euler17': [1, -6, -7, -54, 948, -918, -2023, -29478, 83521], 'euler19': [1, -9, 56, -261, 993, -4959, 20216, -61731, 130321], 'euler2': [1, -3, 6, -9, 11, -18, 24, -24, 16], 'euler23': [1, 6, 2, -72, -201, -1656, 1058, 73002, 279841], 'euler29': [1, -9, 8, -135, 2139, -3915, 6728, -219501, 707281], 'euler3': [1, -1, 0, 5, -11, 15, 0, -27, 81], 'euler31': [1, 0, 26, 0, 2091, 0, 24986, 0, 923521], 'euler37': [1, -24, 314, -2928, 20619, -108336, 429866, -1215672, 1874161], 'euler41': [1, 18, 210, 1836, 13151, 75276, 353010, 1240578, 2825761], 'euler43': [1, 5, -20, -205, -899, -8815, -36980, 397535, 3418801], 'euler47': [1, 0, -78, 0, 4595, 0, -172302, 0, 4879681], 'euler5': [1, 0, -15, 0, 101, 0, -375, 0, 625], 'euler53': [1, 12, 98, 1008, 10395, 53424, 275282, 1786524, 7890481], 'euler59': [1, 6, 21, 54, -2692, 3186, 73101, 1232274, 12117361], 'euler61': [1, 2, 70, -376, 391, -22936, 260470, 453962, 13845841], 'euler67': [1, -12, 131, -996, 5616, -66732, 588059, -3609156, 20151121], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, -6, 150, -828, 14855, -58788, 756150, -2147466, 25411681], 'euler73': [1, 0, -268, 0, 28614, 0, -1428172, 0, 28398241], 'euler79': [1, 24, 532, 6552, 72870, 517608, 3320212, 11832936, 38950081], 'euler83': [1, 0, -270, 0, 31667, 0, -1860030, 0, 47458321], 'euler89': [1, -33, 588, -7425, 75011, -660825, 4657548, -23263977, 62742241], 'euler97': [1, -39, 812, -11895, 132795, -1153815, 7640108, -35594247, 88529281], 'euler_factors': [[1, -3, 6, -9, 11, -18, 24, -24, 16], [1, -1, 0, 5, -11, 15, 0, -27, 81], [1, 0, -15, 0, 101, 0, -375, 0, 625], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 54, 243, 905, 2673, 6534, 11979, 14641], [1, 14, 75, 182, 169, 0, 0, 0, 0], [1, -6, -7, -54, 948, -918, -2023, -29478, 83521], [1, -9, 56, -261, 993, -4959, 20216, -61731, 130321], [1, 6, 2, -72, -201, -1656, 1058, 73002, 279841], [1, -9, 8, -135, 2139, -3915, 6728, -219501, 707281], [1, 0, 26, 0, 2091, 0, 24986, 0, 923521], [1, -24, 314, -2928, 20619, -108336, 429866, -1215672, 1874161], [1, 18, 210, 1836, 13151, 75276, 353010, 1240578, 2825761], [1, 5, -20, -205, -899, -8815, -36980, 397535, 3418801], [1, 0, -78, 0, 4595, 0, -172302, 0, 4879681], [1, 12, 98, 1008, 10395, 53424, 275282, 1786524, 7890481], [1, 6, 21, 54, -2692, 3186, 73101, 1232274, 12117361], [1, 2, 70, -376, 391, -22936, 260470, 453962, 13845841], [1, -12, 131, -996, 5616, -66732, 588059, -3609156, 20151121], [1, -6, 150, -828, 14855, -58788, 756150, -2147466, 25411681], [1, 0, -268, 0, 28614, 0, -1428172, 0, 28398241], [1, 24, 532, 6552, 72870, 517608, 3320212, 11832936, 38950081], [1, 0, -270, 0, 31667, 0, -1860030, 0, 47458321], [1, -33, 588, -7425, 75011, -660825, 4657548, -23263977, 62742241], [1, -39, 812, -11895, 132795, -1153815, 7640108, -35594247, 88529281]], 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/637/2/q/f'], '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': '8-637e4-1.1-c1e4-0-14', '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': '8-637e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2108323718923051128, 'z1': {'__RealLiteral__': 0, 'data': '0.55432840540967627536145525108', 'prec': 103}}
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{'Lhash': '702694735841133416466986237631,1200172114317978498062187375397,3449910982936921849751407732695,3521683887124452103116901700824', 'Lhash_array': ['702694735841133416466986237631', '1200172114317978498062187375397', '3449910982936921849751407732695', '3521683887124452103116901700824'], 'label': '8-637e4-1.1-c1e4-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/637/2/q/f'}