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{'algebraic': True, 'analytic_conductor': 74573841.5748797, 'bad_primes': [3, 5, 7], 'central_character': '1.1', 'conductor': 6153500390625, 'conductor_radical': 105, 'degree': 8, 'dirichlet_coefficients': [1, 6, 0, 10, 0, 0, 28, 3, 0, 0, -57, 0, -43, 168, 0, 54, 99, 0, -12, 0, 0, -342, 156, 0, 0, -258, 0, 280, -378, 0, -93, 240, 0, 594, 0, 0, -81, -72, 0, 0, 465, 0, 64, -570, 0, 936, 744, 0, 490, 0, 0, -430, 729, 0, 0, 84, 0, -2268, -231, 0, -1353, -558, 0, 441, 0, 0, -1487, 990, 0, 0, 1725, 0, -512, -486, 0, -120, -1596, 0, 1629, 0, 0, 2790, 321, 0, 0, 384, 0, -171, 978, 0, -1204, 1560, 0, 4464, 0, 0, -2616, 2940, 0, 0], 'euler11': [1, 57, 4001, 182772, 7206874, 243269532, 7088015561, 134403018387, 3138428376721], 'euler13': [1, 43, 4464, 221093, 13201958, 485741321, 21546875376, 455993473039, 23298085122481], 'euler17': [1, -99, 13790, -926229, 90687946, -4550563077, 332857076510, -11740199773203, 582622237229761], 'euler19': [1, 12, -10212, 154020, 95206646, 1056423180, 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3872252373348, 2213314919066161], [1, -156, 28082, -3613896, 479553835, -43970272632, 4157143834898, -280979815188228, 21914624432020321], [1, 378, 143760, 29729988, 5852097929, 725084677332, 85511800626960, 5483701178878482, 353814783205469041], [1, 93, 16330, -936891, 385099458, -27910919781, 14492935110730, 2458884860942403, 787662783788549761], [1, 81, 107185, 469746, 5937897606, 23794044138, 275007385148665, 10526900923401237, 6582952005840035281], [1, -465, 105716, -566235, -2050285754, -39025482435, 502162019941556, -152232599493191865, 22563490300366186081], [1, -64, 64662, 2492176, 5477627255, 198145437232, 408751977474438, -32165927163957952, 39959630797262576401], [1, -744, 588276, -247094976, 101020317878, -25654141693248, 6341153676882804, -832633071988458648, 116191483108948578241], [1, -729, 333446, -137056347, 63585804370, -20404537772319, 7390617561020534, -2405527658423754957, 491258904256726154641], [1, 231, 701280, 148812447, 204019205798, 30562951552413, 29580364631760480, 2001152034109290909, 1779197418239532716881], [1, 1353, 1374808, 931878711, 511309944510, 211518761701491, 70830622834497688, 15822179663604592773, 2654348974297586158321], [1, 1487, 1603371, 1080212116, 674138302124, 324887836644508, 145038346676691699, 40456116647290586189, 8182718904632857144561], [1, -1725, 1434819, -706812600, 347044577276, -252976004478600, 183800721275245299, -79088663739324578475, 16409682740640811134241], [1, 512, 1030980, 484092568, 566560915526, 188320238525656, 156022560619433220, 30142252394633171456, 22902048046490258711521], [1, -1629, 1989837, -1837769472, 1504809477470, -906092022705408, 483704413231540077, -195238249855685241651, 59091511031674153381441], [1, -321, 661434, -144132717, 79870144034, -82413213855279, 216249478918951146, -60007821940880469363, 106890007738661124410161], [1, -978, 526228, 159100050, -360762420714, 112160603148450, 261525470779825108, -342648562825920534402, 246990403565262140303521], [1, 2616, 5183100, 6945540936, 7789652954246, 6339007682681928, 4317377198747499900, 1988764449440342607672, 693842360995438000295041]], 'id': 20921983, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1575/4/a/bm'], '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': '8-1575e4-1.1-c3e4-0-1', 'motivic_weight': 3, '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': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-1575e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 9.639917440468125, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 899865343588272544, 'z1': {'__RealLiteral__': 0, 'data': '0.30860168497251271866437364121', 'prec': 103}}