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{'algebraic': True, 'analytic_conductor': 36020812.87328785, 'bad_primes': [2, 3, 7, 11], 'central_character': '1.1', 'conductor': 8860231742470416, 'conductor_radical': 462, 'degree': 8, 'dirichlet_coefficients': [1, -4, 0, 10, -4, 0, 0, -20, 0, 16, -4, 0, 8, 0, 0, 35, -4, 0, 12, -40, 0, 16, 8, 0, 0, -32, 0, 0, 8, 0, 4, -56, 0, 16, 0, 0, 8, -48, 0, 80, -12, 0, -8, -40, 0, -32, -4, 0, 0, 0, 0, 80, 8, 0, 16, 0, 0, -32, 0, 0, 24, -16, 0, 84, -32, 0, -8, -40, 0, 0, -8, 0, 4, -32, 0, 120, 0, 0, -8, -140, 0, 48, -4, 0, 16, 32, 0, 80, -24, 0, 0, 80, 0, 16, -48, 0, 0, 0, 0, 0], 'euler11': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler13': [1, -8, 48, -232, 882, -3016, 8112, -17576, 28561], 'euler17': [1, 4, 16, 92, 742, 1564, 4624, 19652, 83521], 'euler19': [1, -12, 116, -708, 3658, -13452, 41876, -82308, 130321], 'euler2': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler23': [1, -8, 92, -520, 3190, -11960, 48668, -97336, 279841], 'euler29': [1, -8, 84, -632, 3254, -18328, 70644, -195112, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, -4, 36, -44, 1274, -1364, 34596, -119164, 923521], 'euler37': [1, -8, 116, -792, 5862, -29304, 158804, -405224, 1874161], 'euler41': [1, 12, 80, -76, -1786, -3116, 134480, 827052, 2825761], 'euler43': [1, 8, 140, 936, 8358, 40248, 258860, 636056, 3418801], 'euler47': [1, 4, 164, 572, 11002, 26884, 362276, 415292, 4879681], 'euler5': [1, 4, 16, 44, 118, 220, 400, 500, 625], 'euler53': [1, -8, 52, -280, 3750, -14840, 146068, -1191016, 7890481], 'euler59': [1, 0, 92, -512, 3446, -30208, 320252, 0, 12117361], 'euler61': [1, -24, 336, -3768, 33714, -229848, 1250256, -5447544, 13845841], 'euler67': [1, 8, 228, 1576, 21606, 105592, 1023492, 2406104, 20151121], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 8, 60, 744, 10790, 52824, 302460, 2863288, 25411681], 'euler73': [1, -4, 224, -796, 22758, -58108, 1193696, -1556068, 28398241], 'euler79': [1, 8, 180, 904, 15990, 71416, 1123380, 3944312, 38950081], 'euler83': [1, 4, 228, 860, 26058, 71380, 1570692, 2287148, 47458321], 'euler89': [1, 24, 480, 6424, 69314, 571736, 3802080, 16919256, 62742241], 'euler97': [1, 0, 128, 1280, 4866, 124160, 1204352, 0, 88529281], 'euler_factors': [[1, 4, 6, 4, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 16, 44, 118, 220, 400, 500, 625], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 6, 4, 1, 0, 0, 0, 0], [1, -8, 48, -232, 882, -3016, 8112, -17576, 28561], [1, 4, 16, 92, 742, 1564, 4624, 19652, 83521], [1, -12, 116, -708, 3658, -13452, 41876, -82308, 130321], [1, -8, 92, -520, 3190, -11960, 48668, -97336, 279841], [1, -8, 84, -632, 3254, -18328, 70644, -195112, 707281], [1, -4, 36, -44, 1274, -1364, 34596, -119164, 923521], [1, -8, 116, -792, 5862, -29304, 158804, -405224, 1874161], [1, 12, 80, -76, -1786, -3116, 134480, 827052, 2825761], [1, 8, 140, 936, 8358, 40248, 258860, 636056, 3418801], [1, 4, 164, 572, 11002, 26884, 362276, 415292, 4879681], [1, -8, 52, -280, 3750, -14840, 146068, -1191016, 7890481], [1, 0, 92, -512, 3446, -30208, 320252, 0, 12117361], [1, -24, 336, -3768, 33714, -229848, 1250256, -5447544, 13845841], [1, 8, 228, 1576, 21606, 105592, 1023492, 2406104, 20151121], [1, 8, 60, 744, 10790, 52824, 302460, 2863288, 25411681], [1, -4, 224, -796, 22758, -58108, 1193696, -1556068, 28398241], [1, 8, 180, 904, 15990, 71416, 1123380, 3944312, 38950081], [1, 4, 228, 860, 26058, 71380, 1570692, 2287148, 47458321], [1, 24, 480, 6424, 69314, 571736, 3802080, 16919256, 62742241], [1, 0, 128, 1280, 4866, 124160, 1204352, 0, 88529281]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9702/2/a/dz'], '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': '8-9702e4-1.1-c1e4-0-1', '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': '8-9702e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.80175323677313, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1501599361493995492, 'z1': {'__RealLiteral__': 0, 'data': '0.26329443169943836493114912312', 'prec': 103}}
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{'Lhash': '333765344380543593532167562855,593652636354740677933077833302,975432855576080171893809555605,1085841719039624062699149844537', 'Lhash_array': ['333765344380543593532167562855', '593652636354740677933077833302', '975432855576080171893809555605', '1085841719039624062699149844537'], 'label': '8-9702e4-1.1-c1e4-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9702/2/a/dz'}