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{'algebraic': True, 'analytic_conductor': 0.027906491832928218, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 50625, 'conductor_radical': 15, 'degree': 8, 'dirichlet_coefficients': [1, -4, 0, 8, -4, 0, 4, -12, 0, 16, 16, 0, -32, -16, 0, 15, -40, 0, 0, -32, 0, -64, 56, 0, 16, 128, 0, 32, 0, 0, -16, -40, 0, 160, -16, 0, 64, 0, 0, 48, -56, 0, -8, 128, 0, -224, 128, 0, 8, -64, 0, -256, 56, 0, -64, -48, 0, 0, 0, 0, 200, 64, 0, 112, 128, 0, -200, -320, 0, 64, -272, 0, 76, -256, 0, 0, 64, 0, 0, -60, -9, 224, -16, 0, 160, 32, 0, -192, 0, 0, -128, 448, 0, -512, 0, 0, -20, -32, 0, 128], 'euler11': [1, -16, 472, -5200, 86386, -629200, 6910552, -28344976, 214358881], 'euler13': [1, 32, 512, 9120, 148994, 1541280, 14623232, 154457888, 815730721], 'euler17': [1, 40, 800, 15240, 281858, 4404360, 66816800, 965502760, 6975757441], 'euler19': [1, 0, -940, 0, 450438, 0, -122501740, 0, 16983563041], 'euler2': [1, 4, 8, 12, 17, 48, 128, 256, 256], 'euler23': [1, -56, 1568, -50904, 1508162, -26928216, 438790688, -8290009784, 78310985281], 'euler29': [1, 0, -2128, 0, 2165634, 0, -1505093968, 0, 500246412961], 'euler3': [1, 0, 0, 0, 9, 0, 0, 0, 0], 'euler31': [1, 16, 3508, 42928, 4935334, 41253808, 3239711668, 14200058896, 852891037441], 'euler37': [1, -64, 2048, -58176, 1440962, -79642944, 3838281728, -164206490176, 3512479453921], 'euler41': [1, 56, 7468, 281288, 19456294, 472845128, 21102783148, 266005837496, 7984925229121], 'euler43': [1, 8, 32, 5256, -557566, 9718344, 109401632, 50570904392, 11688200277601], 'euler47': [1, -128, 8192, -506496, 28260194, -1118849664, 39974346752, -1379739562112, 23811286661761], 'euler5': [1, 4, 0, 100, 625, 0, 0, 0, 0], 'euler53': [1, -56, 1568, -155064, 15333122, -435574776, 12372274208, -1241204223224, 62259690411361], 'euler59': [1, 0, 200, 0, -5646222, 0, 2423472200, 0, 146830437604321], 'euler61': [1, -200, 25996, -2343800, 166079686, -8721279800, 359936482636, -10304074872200, 191707312997281], 'euler67': [1, 200, 20000, 1888200, 153742658, 8476129800, 403022420000, 18091676433800, 406067677556641], 'euler7': [1, -4, 8, -156, 2942, -7644, 19208, -470596, 5764801], 'euler71': [1, 272, 47908, 5371184, 453566470, 27076138544, 1217422813348, 34843277226512, 645753531245761], 'euler73': [1, -76, 2888, 65436, -36833458, 348708444, 82014120008, -11501401197964, 806460091894081], 'euler79': [1, 0, -23764, 0, 219082086, 0, -925609724884, 0, 1517108809906561], 'euler83': [1, 16, 128, 101328, 79904642, 698048592, 6074665088, 5231045973904, 2252292232139041], 'euler89': [1, 0, -16060, 0, 188845638, 0, -1007640390460, 0, 3936588805702081], 'euler97': [1, 20, 200, 173820, 150551438, 1635472380, 17705856200, 16659440098580, 7837433594376961], 'euler_factors': [[1, 4, 8, 12, 17, 48, 128, 256, 256], [1, 0, 0, 0, 9, 0, 0, 0, 0], [1, 4, 0, 100, 625, 0, 0, 0, 0], [1, -4, 8, -156, 2942, -7644, 19208, -470596, 5764801], [1, -16, 472, -5200, 86386, -629200, 6910552, -28344976, 214358881], [1, 32, 512, 9120, 148994, 1541280, 14623232, 154457888, 815730721], [1, 40, 800, 15240, 281858, 4404360, 66816800, 965502760, 6975757441], [1, 0, -940, 0, 450438, 0, -122501740, 0, 16983563041], [1, -56, 1568, -50904, 1508162, -26928216, 438790688, -8290009784, 78310985281], [1, 0, -2128, 0, 2165634, 0, -1505093968, 0, 500246412961], [1, 16, 3508, 42928, 4935334, 41253808, 3239711668, 14200058896, 852891037441], [1, -64, 2048, -58176, 1440962, -79642944, 3838281728, -164206490176, 3512479453921], [1, 56, 7468, 281288, 19456294, 472845128, 21102783148, 266005837496, 7984925229121], [1, 8, 32, 5256, -557566, 9718344, 109401632, 50570904392, 11688200277601], [1, -128, 8192, -506496, 28260194, -1118849664, 39974346752, -1379739562112, 23811286661761], [1, -56, 1568, -155064, 15333122, -435574776, 12372274208, -1241204223224, 62259690411361], [1, 0, 200, 0, -5646222, 0, 2423472200, 0, 146830437604321], [1, -200, 25996, -2343800, 166079686, -8721279800, 359936482636, -10304074872200, 191707312997281], [1, 200, 20000, 1888200, 153742658, 8476129800, 403022420000, 18091676433800, 406067677556641], [1, 272, 47908, 5371184, 453566470, 27076138544, 1217422813348, 34843277226512, 645753531245761], [1, -76, 2888, 65436, -36833458, 348708444, 82014120008, -11501401197964, 806460091894081], [1, 0, -23764, 0, 219082086, 0, -925609724884, 0, 1517108809906561], [1, 16, 128, 101328, 79904642, 698048592, 6074665088, 5231045973904, 2252292232139041], [1, 0, -16060, 0, 188845638, 0, -1007640390460, 0, 3936588805702081], [1, 20, 200, 173820, 150551438, 1635472380, 17705856200, 16659440098580, 7837433594376961]], 'id': 9589719, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/15/3/f/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': '8-15e4-1.1-c2e4-0-0', 'motivic_weight': 2, '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': [2, 2, 2, 2], 'order_of_vanishing': 0, 'prelabel': '8-15e4-1.1-c2e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.6393124404705772, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e4-0', 'trace_hash': 445990341755593137, 'z1': {'__RealLiteral__': 0, 'data': '2.58030800527451952960517598202', 'prec': 103}}