{'Lhash': '340366068649827069619649789254', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, -252.0], 'a4': [0, 0], 'a5': [0, -4830.0], 'a6': [0, 0], 'a7': [-16744.0, 0], 'a8': [0, 0], 'a9': [113643.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 196.6958542232548, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '256.129', 'coefficient_field': 'CDF', 'conductor': 256, 'conductor_radical': 2, 'conjugate': '1112935971872806873473040299611', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 252.0], [-177147.0, 0]], [[1.0, 0], [0, 4830.0], [-48828125.0, 0]], [[1.0, 0], [16744.0, 0], [1977326743.0, 0]], [[1.0, 0], [0, -534612.0], [-285311670611.0, 0]], [[1.0, 0], [0, 577738.0], [-1792160394037.0, 0]], [[1.0, 0], [6905934.0, 0], [34271896307633.0, 0]], [[1.0, 0], [0, 10661420.0], [-116490258898219.0, 0]], [[1.0, 0], [-18643272.0, 0], [952809757913927.0, 0]], [[1.0, 0], [0, -128406630.0], [-12200509765705828, 0]], [[1.0, 0], [-52843168.0, 0], [25408476896404830, 0]], [[1.0, 0], [0, -182213314.0], [-177917621779460400, 0]], [[1.0, 0], [308120442.0, 0], [550329031716248450, 0]], [[1.0, 0], [0, 17125708.0], [-929293739471222700, 0]], [[1.0, 0], [2687348496.0, 0], [2472159215084012500, 0]], [[1.0, 0], [0, -1596055698.0], [-9269035929372190000, 0]], [[1.0, 0], [0, 5189203740.0], [-30155888444737843000, 0]], [[1.0, 0], [0, -6956478662.0], [-43513917611435835000, 0]], [[1.0, 0], [0, -15481826884.0], [-122130132904968010000, 0]], [[1.0, 0], [-9791485272.0, 0], [231122292121701580000, 0]], [[1.0, 0], [1463791322.0, 0], [313726685568359700000, 0]], [[1.0, 0], [38116845680.0, 0], [747993810527521000000, 0]], [[1.0, 0], [0, -29335099668.0], [-1287831418538085800000, 0]], [[1.0, 0], [-24992917110.0, 0], [2775173073766990000000, 0]], [[1.0, 0], [-75013568546.0, 0], [7153014030880804000000, 0]], [[1.0, 0], [0, 81742959102.0], [-11156683466653166000000, 0]], [[1.0, 0], [225755128648.0, 0], [13842338707244455000000, 0]], [[1.0, 0], [0, -90241258356.0], [-21048519522998347000000, 0]], [[1.0, 0], [0, -73482676310.0], [-25804264053054076000000, 0]], [[1.0, 0], [85146862638.0, 0], [38358611506121120000000, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 24064880, 'index': 19, 'label': '2-2e8-8.5-c11-0-19', 'leading_term': '1.288626048567382584309155759859674426591349091977942934', 'load_key': 'CMFs-workshop', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/256/12/b/c/129/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.0625', 'prec': 20}, 'plot_values': [1.2886260485673826, 1.0497838086263769, 0.7690018081545695, 0.4522814172203929, 0.1066916905812761, -0.2598068059431999, -0.6385627923553475, -1.0204546136222674, -1.3961245214534204, -1.756220916000612, -2.0916423272062787, -2.3937768302647124, -2.6547306600755722, -2.867540015514483, -3.0263604221009364, -3.126628543928205, -3.165191991780422, -3.140403450134663, -3.0521763240921693, -2.902000068297484, -2.6929143812937286, -2.4294425062886815, -2.1174849472918504, -1.7641759614653745, -1.377706197464761, -0.9671157890290415, -0.5420630576110761, -0.11257470356794903, 0.311216049191026, 0.7193364638044654, 1.1022393127280385, 1.4510587010338936, 1.7578496049221408, 2.0158043581710197, 2.2194398283129884, 2.364749715514548, 2.449317266901953, 2.472384708831357, 2.4348768360308743, 2.339377432017733, 2.190058498356012, 1.9925636067804455, 1.7538480213781198, 1.481979530031086, 1.1859051370641116, 0.8751898652220781, 0.5597348593640075, 0.24948274429422237, -0.04588126322897007, -0.31722367610348845, -0.5562436201886691, -0.755731610252055, -0.9097980176600033, -1.0140637571745583, -1.0658066953269851, -1.0640584834974978, -1.0096479159929446, -0.9051884708249675, -0.7550093658890545, -0.5650312078053967, -0.34258907268559513, -0.09620758278405081, 0.16466582537876365, 0.42996176229709065, 0.6893149140822167, 0.9324052420580525, 1.149303613506321, 1.3308107051825238, 1.4687779526732114, 1.5563996146144166, 1.5884656843122025, 1.5615664034101566, 1.4742404916455245, 1.3270608700012247, 1.1226535767253798, 0.8656477012520055, 0.5625564254108709, 0.2215915925644746, -0.14758345357776168, -0.5341557874740662, -0.9265105429988134, -1.3126134279088277, -1.6804157652475524, -2.018268599961674, -2.3153317271278397, -2.5619632888911275, -2.7500758743152858, -2.873445846945974, -2.9279639084247693, -2.91181665434603, -2.825591044321254, -2.6722962286567498, -2.4572999706561354, -2.188179884802925, -1.8744927752292257, -1.5274683973247214, -1.159636866331973, -0.7844015894330997, -0.41557189632980296, -0.0668713910376176, 0.2485606388422909, 0.5186567062464382, 0.732879387262075, 0.8826328523763616, 0.961611431657789, 0.966070898258826, 0.8950106660809874, 0.7502581252230043, 0.5364497844333779, 0.26090763516635196, -0.0665869367598138, -0.434115433341524, -0.8280306588480534, -1.2334376824754658, -1.6347306682062404, -2.0161663530436944, -2.362453092027972, -2.659333294075198, -2.8941368127723104, -3.056283465956109, -3.1377143388985616, -3.1332338451561372, -3.040747608888918, -2.861384991802166, -2.5994993856226545, -2.262544070003876, -1.8608263182701807, -1.4071473278433113, -0.9163402603996225, -0.404723002062451, 0.11051399085319624, 0.6119613792195883, 1.0826606478346628, 1.506763180355254, 1.8701519825051298, 2.161000364684011, 2.3702440119208874, 2.4919460115725527, 2.5235384720613854, 2.46592920199181, 2.3234673437358158, 2.1037676541196664, 1.8173990600475902, 1.4774489389336156, 1.0989800305513853, 0.6984017347985004, 0.29278156480277107, -0.1008744874751286, -0.4663421104037008, -0.7888682780126907, -1.055800050781301, -1.2571244891569802, -1.3858950422784155, -1.4385243755836217, -1.4149291822960752, -1.31851886077998, -1.1560267680844591, -0.9371897860339784, -0.67428884943327, -0.3815695724230549, -0.07456786558595262, 0.23062981523519918, 0.5181584472715639, 0.7731434427587327, 0.9824309751716734, 1.135245061995092, 1.2237395824249386, 1.2434176818118425, 1.1933966549890744, 1.07650317989346, 0.8991914040763284, 0.6712845354328187, 0.4055488872554674, 0.11711739219248174, -0.17721295376917745, -0.4597787923941218, -0.7129071716844144, -0.9197917373977345, -1.0653469299880687, -1.1369989173660626, -1.1253741030555942, -1.0248500672890704, -0.8339395805293952, -0.5554856419290133, -0.1966540270402133, 0.23128079921280897, 0.7133507657741621, 1.2314949029714832, 1.7653210874239313, 2.2929959972756575, 2.792223605952064, 3.2412674569781337, 3.619968923092264, 3.910712854752325, 4.099293556498337, 4.175637873140981, 4.134348186405679, 3.9750360715387485, 3.702426896789301, 3.3262263346616554, 2.860751093338064, 2.3243376266125866, 1.7385535798245328, 1.127246725778551, 0.5154746238042448, -0.07163525388802582, -0.6100410043457927, -1.0779018655561712, -1.456599479771429, -1.731614284457494, -1.8932128740798024, -1.9369108843834792, -1.8636865663299915, -1.6799322404773158, -1.3971436735988554, -1.0313604629850939, -0.6023830926792126, -0.13280379286596714, 0.35310191424093035, 0.8305685883284757, 1.2755599244732712, 1.665952355979528, 1.9826232887375481, 2.2103883517874374, 2.3387392685329176, 2.362343762079431, 2.281280837273346, 2.1009982424195393, 1.831993225457622, 1.4892321255118903, 1.0913381247173233, 0.6595888908477395, 0.21677619208957521, -0.21401271812692904, -0.6106275155577398, -0.9530353321589494, -1.2243859473064143, -1.4119038596406743, -1.5075582940473753, -1.5084737809786224, -1.4170576881030563, -1.2408362753458158, -0.9920066807782466, -0.6867278742872885, -0.34418818245620153, 0.014500321485762616, 0.3675201792151352, 0.6936123831219534, 0.9733151407811267, 1.1901076171614338, 1.3313931897467919, 1.389264942829696, 1.3610076280295633, 1.2493045422651397, 1.0621339734036372, 0.8123571652928693, 0.517017208004386], 'positive_zeros': ['0.26850148502161962956684556524460', '1.70396001903830614937971375313637', '2.98999816005231214810755462089638', '3.83582879713174529311086421370986', '4.85047076342488262504368836395396', '6.20013731246991136439281385951333', '6.86296186434113181525262622709788', '8.111524905897855970367087523616621', '9.171153495070175514402933997217601', '10.01511132424486856980426091956170'], 'prelabel': '2-2e8-8.5-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 14.024829917801313, 'root_angle': -0.125, 'root_number': '0.7071067811865475244008443621048490392848359376884740366 - 0.7071067811865475244008443621048490392848359376884740366*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.125', 'prec': 20}, 'spectral_label': 'c11-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.26850148502161962956684556524', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.70396001903830614937971375314', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.98999816005231214810755462090', 'prec': 103}}