{"label":"32.10.a","level":32,"weight":10,"dims":{"new":9,"cusp":32,"eisenstein":8,"modsym":72},"old":[[2,1,5],[4,1,4],[8,2,3],[16,4,2]],"T":[[3,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 4, 8, 16, 32]: [1, 3, 6, 11, 20, 38] (certified at ell = 2147483497)","T = [(3, 1), (5, 1)]; h of degree 9 = 1 x 9 (phi(ord eps) x dim S_k^new); 4 primes, 0 rejected"],"newforms":[{"label":"32.10.a.a","letter":"a","dim":1,"charpoly":["-2398","1"],"traces":["1","0","0","0","2398","0","0","0","-19683","0","0","0","112806","0","0","0","554882","0","0","0","0","0","0","0","3797279","0","0","0","7314710","0","0","0","0","0","0","0","-22718882","0","0","0","35388490","0","0","0","-47199834","0","0","0","-40353607","0","0","0","-92363026","0","0","0","0","0","0","0","6604310","0","0","0","270508788","0","0","0","0","0","0","0","42331194","0","0","0","0","0","0","0","387420489","0","0","0","1330607036","0","0","0","-1125568310","0","0","0","0","0","0","0","-1416798702","0","0","0","-1634512802","0","0","0","0","0","0","0","1460652966","0","0","0","-642015374","0","0","0","-2220360498","0","0","0","-2357947691","0","0","0","4422281292","0","0","0","0","0","0","0","0","0","0","0","8246525738","0","0","0","0","0","0","0","17540674580","0","0","0","-8519162386","0","0","0","-10921742406","0","0","0","-3296974538","0","0","0","0","0","0","0","0","0","0","0","2120694263","0","0","0","-4610916986","0","0","0","0","0","0","0","-8868944178","0","0","0","-54479879036","0","0","0","0","0","0","0","38519927026","0","0","0","-25308907682","0","0","0","0","0","0","0","84861599020","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","62594018892","0","0","0","-74741842557","0","0","0","30704799870","0","0","0","22479063386","0","0","0","0","0","0","0","73259218530","0","0","0","-96767949586","0","0","0","0","0","0","0","0","0","0","0","74507335682","0","0","0","-143975436930","0","0","0","-221486536348","0","0","0","-159382036346","0","0","0","0","0","0","0","178158474702","0","0","0","84399026890","0","0","0","0","0","0","0","189306157427","0","0","0","-124670332354","0","0","0","0","0","0","0","0","0","0","0","15837135380","0","0","0","0","0","0","0","309314516186","0","0","0","-102637640138","0","0","0","0","0","0","0","428355854874","0","0","0","0","0","0","0","447175754406","0","0","0","-471140853102","0","0","0","0","0","0","0","0","0","0","0","-358389754090","0","0","0","-399335450846","0","0","0","0","0","0","0","-322687697779","0","0","0","101510203212","0","0","0","-696551648670","0","0","0","-145924695826","0","0","0","825143176260","0","0","0","0","0","0","0","0","0","0","0","-65992947394","0","0","0","0","0","0","0","-916053867322","0","0","0","450088291202","0","0","0","929034332622","0","0","0","-1101830813766","0","0","0","0","0","0","0","0","0","0","0","1146317151870","0","0","0","2107041766078","0","0","0","0","0","0","0","1069198369954","0","0","0","0","0","0","0","794280046581","0","0","0","-2699112807380","0","0","0","-191684908814","0","0","0","0","0","0","0","-229168363158","0","0","0","-668843645242","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","1817981440758","0","0","0","-2562826202892","0","0","0","-3397483287396","0","0","0","0","0","0","0","4058800914220","0","0","0","0","0","0","0","0","0","0","0","-3919561699196","0","0","0","-2739608640490","0","0","0","0","0","0","0","0","0","0","0","3305050309418","0","0","0","0","0","0","0","-1801152661463","0","0","0","3992034002940","0","0","0","0","0","0","0","2605390882038","0","0","0","3502645812468","0","0","0","-129992633730","0","0","0","0","0","0","0","3830101019078","0","0","0","0","0","0","0","-1539552866852","0","0","0","-4447158530854","0","0","0","0","0","0","0","1949333921282","0","0","0","0","0","0","0","-5324424474204","0","0","0","0","0","0","0","5972479831634","0","0","0","0","0","0","0","6151653286090","0","0","0","-5654358563018","0","0","0","0","0","0","0","-3524586556354","0","0","0","-7198776258278","0","0","0","0","0","0","0","3188069991341","0","0","0","-12606298681924","0","0","0","0","0","0","0","-4552128991242","0","0","0","1217422022450","0","0","0","0","0","0","0","0","0","0","0","9254207483014","0","0","0","-833204891502","0","0","0","5123259141550","0","0","0","0","0","0","0","0","0","0","0","3991500871634","0","0","0","-3707104421282","0","0","0","0","0","0","0","19775168719724","0","0","0","-10419103510956","0","0","0","0","0","0","0","19636436108180","0","0","0","-12663274522090","0","0","0","0","0","0","0","-10519326694530","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","27775994674090","0","0","0","-7625597484987","0","0","0","12296256533334","0","0","0","0","0","0","0","0","0","0","0","-20428951401628","0","0","0","0","0","0","0","0","0","0","0","-2564391624498","0","0","0","-9745412992358","0","0","0","-26190338289588","0","0","0","-12266571705550","0","0","0","7034522314046","0","0","0","0","0","0","0","0","0","0","0","-7906144942124","0","0","0","0","0","0","0","745005793860","0","0","0","-10125740417738","0","0","0","22154561045730","0","0","0","0","0","0","0","24362118972490","0","0","0","0","0","0","0","0","0","0","0","3064969893550","0","0","0","0","0","0","0","-27162246451626","0","0","0","-22391490159374","0","0","0","0","0","0","0","38997836408231","0","0","0","5085424842674","0","0","0","0","0","0","0","29480619210766","0","0","0","10448901144058","0","0","0","0","0","0","0","-11056978932428","0","0","0","0","0","0","0","27886848851466","0","0","0","9188899562342","0","0","0","14301937814450","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-51250580592932","0","0","0","-21267728138844","0","0","0","32172115481766","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-86269933522078","0","0","0","-44835498209326","0","0","0","0","0","0","0","11969192496922","0","0","0","47541873993062","0","0","0","0","0","0","0","4775212670364","0","0","0","-35468132831014","0","0","0","0","0","0","0","-26439622160671","0","0","0","92370785008348","0","0","0","0","0","0","0","0","0","0","0","-23011173202622","0","0","0","-28750032329778","0","0","0","-60690760621436","0","0","0","0","0","0","0","0","0","0","0","-9315970599778","0","0","0"],"derived":{"al":[[2,null]],"fricke":null,"sign":null,"cm":-4,"cmInert":87,"cmExact":6}},{"label":"32.10.a.b","letter":"b","dim":2,"charpoly":["-952668","-1228","1"],"traces":["2","0","-176","0","1404","0","-2784","0","30394","0","6896","0","-45556","0","-557728","0","-472188","0","-780912","0","787712","0","-3883680","0","552766","0","-8762336","0","3909612","0","-4857216","0","-13469312","0","-6296128","0","8608892","0","20941792","0","-32359020","0","32230512","0","97751564","0","20943040","0","-71404686","0","163990176","0","51108252","0","107740704","0","-114230656","0","-63098960","0","25048812","0","-137827168","0","-167443224","0","-224200368","0","390283008","0","-6805472","0","-23217420","0","-658226512","0","-138223872","0","-726598848","0","769941010","0","-27482736","0","-1310977032","0","-318429472","0","-71429100","0","232742592","0","-593312768","0","915407072","0","1850743460","0","2368592176","0","-1029457284","0","1168710816","0","1539421696","0","1960203376","0","137353996","0","2328106336","0","1125260004","0","-3114496704","0","-3672498596","0","1881662016","0","-1643714006","0","2335266080","0","2522519064","0","-1304303616","0","-1345596032","0","-5941134256","0","-742479616","0","-10927964224","0","-3655848108","0","-8005806096","0","12660010496","0","-4170165856","0","2539616552","0","4772679888","0","5432569500","0","-10101156000","0","-28724864268","0","4756216576","0","16498655020","0","10640888416","0","5891274240","0","-10906056240","0","-20007670528","0","25208562592","0","-14888270610","0","20331840848","0","10613280204","0","-6865281312","0","34495694720","0","26842705680","0","-2270612900","0","34252160736","0","-18642068472","0","-30645823008","0","18168177152","0","32246620416","0","18635973732","0","36511535168","0","-44190167172","0","-53313471456","0","16153813120","0","-5186016064","0","-18617410600","0","-67559658528","0","40666781568","0","-74643428976","0","-103082672896","0","10700307232","0","-3446233088","0","467074080","0","48956039448","0","-84119494272","0","115687011206","0","17871245520","0","-73660601924","0","31939549184","0","-65983379148","0","-101321970048","0","116582150656","0","24113506752","0","60014010692","0","2404149616","0","-38038629732","0","-39293071008","0","-80410740096","0","81558306480","0","-24889971456","0","303823545024","0","-110895013884","0","18873310656","0","54905889980","0","9428725536","0","-85229323832","0","199137188128","0","181317548748","0","-120792641472","0","-56413970944","0","146377132816","0","92510574428","0","105836497024","0","-79424360940","0","-26117180880","0","-39460738304","0","39920479040","0","150524298470","0","-226025007200","0","269313646908","0","-275839359840","0","-171725363456","0","103600443456","0","-29957982464","0","-172715096736","0","-274067383512","0","-204943728624","0","-105797103360","0","-2019788832","0","112453113524","0","-269106045248","0","115130526252","0","7409259168","0","-61956090496","0","-228368619744","0","-202780832396","0","-175454120992","0","115877268480","0","-342666068496","0","-412251902708","0","-128782104224","0","329931093796","0","216494555552","0","225169542144","0","196630440000","0","1151236489728","0","219772530736","0","-555485528596","0","385883859136","0","-282450495420","0","824674994112","0","-464152376832","0","455364192416","0","276263904666","0","55947280784","0","-3690157800","0","-10860549696","0","-401590355260","0","80241459136","0","496826408860","0","78092117952","0","-81060830328","0","1038070824624","0","-1224546566144","0","-692700850688","0","-255239945728","0","227445822640","0","692864902716","0","1026372788928","0","1506837223552","0","-931204007552","0","-631350936244","0","108097595392","0","-1090586869884","0","-207835640064","0","1358979396956","0","-701624793568","0","96731209844","0","-1330146165984","0","377263614720","0","643340886240","0","-179789053568","0","-726683614000","0","193047548860","0","-2234256271936","0","-1505724218628","0","329696615616","0","718340315392","0","-646951882560","0","-123644411452","0","-1054233404864","0","1352848042752","0","1279777542624","0","-819212896662","0","-1168105179984","0","-1592954646824","0","-1821747488160","0","-2391688065948","0","9847759200","0","605785870080","0","450846282368","0","1019073266644","0","3415793782848","0","2658894879564","0","1586231013696","0","-80668690432","0","928510473872","0","276328719616","0","-1470371026720","0","-242162493312","0","1839073842288","0","-1887668862548","0","1643822853504","0","766641573608","0","-1639846219776","0","1804498570680","0","1409671316640","0","2526407169152","0","-1192477805200","0","-865245373224","0","3489997468064","0","-1027342327296","0","4301880333840","0","-3957123208960","0","-1767663447840","0","1383779688456","0","538774261296","0","-1104532182804","0","16558059840","0","1408480731392","0","844039405248","0","-3364998927872","0","2250104021472","0","-1212059589804","0","-3285298992912","0","1602683017984","0","-1156047428352","0","3982555984466","0","-6052880473360","0","577227521400","0","491728317216","0","-1520696519040","0","111887640432","0","-148280013652","0","-7248545247136","0","1403358259944","0","-788103661872","0","-6035669493828","0","-1612884293536","0","1537840116736","0","1937768439104","0","6712137771084","0","-269051626848","0","6155747955456","0","-3011462824944","0","-1734206964424","0","-2094858895840","0","-2956594088268","0","-2734450068816","0","-6671639058432","0","-1618350424416","0","2666151638532","0","7163214085536","0","-790036240128","0","-3411583005408","0","-6377304211384","0","-2590350712848","0","5337469883392","0","4026291653984","0","-3010592546652","0","3709455690624","0","6022827826432","0","7566037857376","0","-6005900921836","0","-2777828802032","0","-444290818260","0","-3265826616960","0","1481623719424","0","4047894815872","0","-5143592585412","0","8303433035200","0","-5683714398540","0","2703531839088","0","17548862424576","0","2027943580480","0","-1709403075494","0","812734721024","0","4928806257144","0","-1226012353824","0","1542024927872","0","9798981136384","0","1155045003948","0","18144530822048","0","1930835795172","0","-11943262974384","0","-6892020730624","0","2722576008480","0","-7077052952960","0","406095282176","0","2025937030860","0","-12042815519904","0","-75448768860","0","13023771102864","0","3415080917020","0","-11094763446336","0","-863295803904","0","-7568939918784","0","-1457665942528","0","-8553811813728","0","-2414589595100","0","-9128394020896","0","-8717637695364","0","-3207830723520","0","-5870612943744","0","-3045476518800","0","10648481024088","0","5720118921056","0","3559041588648","0","-8686850040048","0","-5581137509632","0","1454324040736","0","6483959221800","0","8329552336416","0","-11734465514772","0","-13763250587424","0","14550955303936","0","-1200068837952","0","-6814854495556","0","-20307018250688","0","8519387805696","0","-5738382191424","0","12051908138496","0","8124329308480","0","-1656350971392","0","-7118195994464","0","792827068308","0","-3024686522784","0","2777364061066","0","-4246436061984","0","-20682357131156","0","17787825289824","0","74426296704","0","2194994106576","0","1013507776256","0","7037376862368","0","14563114766280","0","14160287733072","0","-1623185033472","0","-4718747597376","0","-713947144320","0","-4826084648640","0","632546357340","0","27334458673152","0","11256226972212","0","-1824866455872","0","-53091449607912","0","10467479817760","0","-7905015568156","0","25536619806368","0","400245852732","0","10122587090304","0","-3620021258752","0","14361830122400","0","24549063132928","0","-16846835530048","0","11729970903720","0","-1942741341552","0","32461389600000","0","1588812433472","0","10803852492168","0","7032359330624","0","-26316552045780","0","27774237438336","0","-35027359242428","0","293472290400","0","13106987209728","0","-9724492731936","0","12040930346388","0","-13869021605520","0","34163285850624","0","-20189445240736","0","-17609709493376","0","9861130791872","0","14578941680412","0","-21979840596000","0","-18537996618112","0","-15645496485712","0","-9093009042068","0","-22996313188256","0","13449554261604","0","31606568546496","0","10050012276736","0","-3332654222816","0","-21359668023218","0","-30831757989600","0","-4280417549148","0","1401054378912","0","-34830346466432","0","-13958485025472","0","9573305527260","0","6678706483552","0","12092877922548","0","-12489797551056","0","-11580785692160","0","-1935510392960","0","-18022058732184","0","-71059718844176","0","-14981336959488","0","3991180371936","0","39241834920340","0","-510608581248","0","36872665758860","0","-51324889926816","0","-36948796208796","0","5651241928464","0","58289867034880","0","11893053586656","0","-11577662210048","0","26902250537584","0","-57066941938176","0","12111886740960","0","-43102921262592","0","-9976707930368","0","22085911671864","0","9307335071744","0","57992903202888","0","24735076650480","0","30697429095180","0","26417469552192","0","19535764871040","0","44272565496384","0","18110232974592","0","51405450305376","0","-1230836466048","0","-32193629941568","0","-32279105563388","0","18280195343904","0","12037871761956","0","32973741466896","0","-62446199782656","0","-49184691997632","0","-25437753045836","0","16384488419872","0","-28708113749364","0","62378018450880","0","38425351994368","0","29685646667280","0","37116022200","0","-54412216475424","0","47364213508788","0","53308619226624","0","-25707311316736","0","-11429667428544","0","-21884746515006","0","10333852744880","0","-57342984631752","0","43429193085984","0","15483543115008","0","14982449993456","0","2301082185472","0","36409752944672","0","29486667208452","0","-45952075813536","0","30839955281756","0","-23896736536992","0","-32121952897528","0","-24702269530112","0","-61253821434624","0","-10681510184064","0","113254948876672","0","-48075995668544","0","1191005070588","0","-3768253616192","0"],"derived":{"al":[[2,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"32.10.a.c","letter":"c","dim":2,"charpoly":["4838020","4420","1"],"traces":["2","0","0","0","-4420","0","0","0","52794","0","0","0","-4788","0","0","0","464644","0","0","0","3870720","0","0","0","5861950","0","0","0","-6060500","0","0","0","31242240","0","0","0","596156","0","0","0","-49215340","0","0","0","-116674740","0","0","0","81863026","0","0","0","-207259172","0","0","0","108103680","0","0","0","-187930580","0","0","0","10581480","0","0","0","338964480","0","0","0","689692788","0","0","0","1312174080","0","0","0","-420382062","0","0","0","-1026863240","0","0","0","-251172460","0","0","0","1121402880","0","0","0","-392002524","0","0","0","978398396","0","0","0","-8554291200","0","0","0","-194854068","0","0","0","-2169504028","0","0","0","-126388836","0","0","0","5875223978","0","0","0","-4322097000","0","0","0","13277952000","0","0","0","4540354560","0","0","0","-7524397484","0","0","0","6561423360","0","0","0","13393705000","0","0","0","-14564612132","0","0","0","12265207668","0","0","0","26943213164","0","0","0","14236508160","0","0","0","-69045350400","0","0","0","-21197536274","0","0","0","-15393466612","0","0","0","-23966115840","0","0","0","10535094684","0","0","0","-1317504760","0","0","0","25988014080","0","0","0","10549455332","0","0","0","-3969602884","0","0","0","-123806914560","0","0","0","108765901400","0","0","0","36647147520","0","0","0","30390128640","0","0","0","47098920960","0","0","0","-1112357736","0","0","0","154737894150","0","0","0","78768626940","0","0","0","-142480844108","0","0","0","53936824320","0","0","0","85156926660","0","0","0","-180917287460","0","0","0","-308824012800","0","0","0","114908958720","0","0","0","-112109260796","0","0","0","-159979018500","0","0","0","458042770120","0","0","0","-227982095092","0","0","0","-9266503680","0","0","0","-348875565156","0","0","0","61342535060","0","0","0","-238909132800","0","0","0","-129228729626","0","0","0","67516981372","0","0","0","209760399360","0","0","0","557673984000","0","0","0","415326581800","0","0","0","399729807360","0","0","0","-60654126668","0","0","0","-21492066196","0","0","0","-144859760640","0","0","0","-14033508300","0","0","0","275579781120","0","0","0","15736729932","0","0","0","-290979982044","0","0","0","380155576320","0","0","0","-749111500800","0","0","0","-361029789140","0","0","0","368285929028","0","0","0","899253411840","0","0","0","-518569778918","0","0","0","-1524221061480","0","0","0","-1299137329980","0","0","0","1248111721948","0","0","0","14508837000","0","0","0","-286371348480","0","0","0","-2899904716800","0","0","0","-878349599108","0","0","0","1895961323520","0","0","0","995485988236","0","0","0","1672281358084","0","0","0","929044357020","0","0","0","1394677833588","0","0","0","-1006576865280","0","0","0","1645529610240","0","0","0","-1885286541060","0","0","0","1361859947900","0","0","0","-74793922560","0","0","0","-1746745839292","0","0","0","397605335040","0","0","0","2160938297322","0","0","0","555091136600","0","0","0","1265806563812","0","0","0","3006344540160","0","0","0","-2134681230636","0","0","0","568930539916","0","0","0","-2478300364800","0","0","0","-5199890411520","0","0","0","4501225728000","0","0","0","-5471020363284","0","0","0","-1427197464","0","0","0","866325578040","0","0","0","-7109206824960","0","0","0","-1407987481000","0","0","0","1276385402880","0","0","0","5206681866240","0","0","0","-2162260455160","0","0","0","-3156074036180","0","0","0","725808107520","0","0","0","2224322519040","0","0","0","-1821495945644","0","0","0","11344983552000","0","0","0","-2355593965486","0","0","0","117821523960","0","0","0","-2444087900160","0","0","0","1247044445676","0","0","0","430627490280","0","0","0","-4960803520260","0","0","0","2265346621440","0","0","0","4722104143756","0","0","0","7258259681280","0","0","0","4794603901880","0","0","0","-1485411538508","0","0","0","9917638410240","0","0","0","6357861227524","0","0","0","-12970608537600","0","0","0","279319327560","0","0","0","1315405578240","0","0","0","-414931280732","0","0","0","-12806049853440","0","0","0","-3637258696300","0","0","0","-12984244991380","0","0","0","-11729249280000","0","0","0","6951964443772","0","0","0","7223965829684","0","0","0","2275807518720","0","0","0","-1897286723750","0","0","0","138500154232","0","0","0","-1628195420160","0","0","0","-195980084244","0","0","0","9773566686820","0","0","0","-29344273920000","0","0","0","-8124513269760","0","0","0","7827676964108","0","0","0","18205820524836","0","0","0","9531847481180","0","0","0","-10034183577600","0","0","0","-25304871813120","0","0","0","20187551938468","0","0","0","-919840038724","0","0","0","4726088017920","0","0","0","16628918439640","0","0","0","496178457768","0","0","0","34637459189760","0","0","0","-11433806219480","0","0","0","12363750281260","0","0","0","-14500745625600","0","0","0","8841766630140","0","0","0","4124519792640","0","0","0","32009086033920","0","0","0","16788651909120","0","0","0","-17763173987500","0","0","0","-23275922460534","0","0","0","-22436221095252","0","0","0","-41970544035840","0","0","0","-258800209920","0","0","0","32187792811720","0","0","0","-6084109946880","0","0","0","-18255397939200","0","0","0","6250306461084","0","0","0","7514928854324","0","0","0","-27106108946280","0","0","0","7444300869220","0","0","0","30347262801532","0","0","0","1153776476160","0","0","0","10302253608960","0","0","0","-59544501092440","0","0","0","-28341071769600","0","0","0","449905808520","0","0","0","-13530822183316","0","0","0","-6630199426620","0","0","0","-31462683033600","0","0","0","-19420869060460","0","0","0","29055242280960","0","0","0","15575037696000","0","0","0","24455761099100","0","0","0","91570224384000","0","0","0","-44366321280852","0","0","0","19018581926372","0","0","0","7529098936320","0","0","0","-10649461826738","0","0","0","46846555165540","0","0","0","19938338887680","0","0","0","28168536792092","0","0","0","45382302829556","0","0","0","-95249400422400","0","0","0","34019561212520","0","0","0","18284583444480","0","0","0","-10347690626028","0","0","0","-62934828838196","0","0","0","35168973961060","0","0","0","52965116006400","0","0","0","-12027596636160","0","0","0","7696549601280","0","0","0","-811480965120","0","0","0","-48150865357384","0","0","0","-23282559251640","0","0","0","25826782459212","0","0","0","-104691340339200","0","0","0","79630375587840","0","0","0","51221887764480","0","0","0","1747318332100","0","0","0","-39134039562332","0","0","0","-25975414886400","0","0","0","-20443458902476","0","0","0","-19064757700916","0","0","0","-57433511116800","0","0","0","-1651124534472","0","0","0","-81606041554508","0","0","0","-94671797760000","0","0","0","-39234014077502","0","0","0","-23314296283720","0","0","0","25114863144960","0","0","0","69112243630080","0","0","0","65163555582596","0","0","0","-5143562832996","0","0","0","8772822373640","0","0","0","48836307456000","0","0","0","79448426035200","0","0","0","-54383260756676","0","0","0"],"derived":{"al":[[2,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"32.10.a.d","letter":"d","dim":2,"charpoly":["-14972","68","1"],"traces":["2","0","0","0","-68","0","0","0","-7110","0","0","0","-125364","0","0","0","-623356","0","0","0","-2774016","0","0","0","-3903938","0","0","0","-11887828","0","0","0","2677248","0","0","0","-16128580","0","0","0","57025684","0","0","0","241740","0","0","0","157858162","0","0","0","-18917668","0","0","0","178214400","0","0","0","-148096724","0","0","0","4262376","0","0","0","-372685824","0","0","0","-533262732","0","0","0","-230243328","0","0","0","-609618798","0","0","0","21194104","0","0","0","-750037100","0","0","0","2077028352","0","0","0","-76856796","0","0","0","2649076156","0","0","0","94316544","0","0","0","3244187724","0","0","0","2254982884","0","0","0","445669020","0","0","0","-4493683798","0","0","0","265546392","0","0","0","2681989632","0","0","0","-15326438400","0","0","0","-3181774252","0","0","0","-3459004416","0","0","0","404186152","0","0","0","-14461552420","0","0","0","2216030580","0","0","0","-6165301396","0","0","0","32050980864","0","0","0","-91026432","0","0","0","-13350932498","0","0","0","36677208076","0","0","0","42709492224","0","0","0","-23057223012","0","0","0","548371720","0","0","0","64462583808","0","0","0","-30429751324","0","0","0","-3846036548","0","0","0","-56668340736","0","0","0","-1938873256","0","0","0","14791795200","0","0","0","-15081550848","0","0","0","-178624438272","0","0","0","39073200792","0","0","0","13878499590","0","0","0","-106993699332","0","0","0","-17789716300","0","0","0","110264039424","0","0","0","-32913155388","0","0","0","-5367177508","0","0","0","89563977216","0","0","0","-30932923392","0","0","0","278984470532","0","0","0","42261228540","0","0","0","643200712","0","0","0","72075653644","0","0","0","173880870912","0","0","0","-141778799460","0","0","0","225550762900","0","0","0","-6059289600","0","0","0","-42889401626","0","0","0","-287820994180","0","0","0","-62213889024","0","0","0","-230651108352","0","0","0","5035288616","0","0","0","114567183360","0","0","0","-373944388172","0","0","0","-441389159060","0","0","0","-503139571200","0","0","0","244706641716","0","0","0","297474379776","0","0","0","57337101900","0","0","0","-423952208604","0","0","0","172393353216","0","0","0","12671318016","0","0","0","636907751212","0","0","0","-231072659900","0","0","0","864599758848","0","0","0","339259164442","0","0","0","18130932888","0","0","0","-202726306620","0","0","0","1300004319964","0","0","0","745152834696","0","0","0","-531752288256","0","0","0","7828273152","0","0","0","-43669636228","0","0","0","-564020126208","0","0","0","324943811212","0","0","0","-360362412796","0","0","0","20727039132","0","0","0","1389882051444","0","0","0","-3673016331264","0","0","0","-1582336820736","0","0","0","18237299196","0","0","0","1216771587964","0","0","0","-167815259136","0","0","0","-974229739708","0","0","0","-2059089177600","0","0","0","-561185765910","0","0","0","25501261400","0","0","0","2062119987172","0","0","0","-1104478534656","0","0","0","1733849910996","0","0","0","-1874180018548","0","0","0","-70618963968","0","0","0","4873477303296","0","0","0","222605139456","0","0","0","67252309740","0","0","0","1010971651560","0","0","0","2613131064","0","0","0","816823365120","0","0","0","3705174455384","0","0","0","1297013372928","0","0","0","871181982720","0","0","0","-90068589304","0","0","0","738755714348","0","0","0","-4141346227200","0","0","0","-287097366528","0","0","0","-2591179124140","0","0","0","5414793237504","0","0","0","703706687570","0","0","0","-3574483924488","0","0","0","-5233824078336","0","0","0","-2266647128340","0","0","0","-110302382616","0","0","0","526483853820","0","0","0","-9482707390464","0","0","0","675706656908","0","0","0","-834439302144","0","0","0","-76669418056","0","0","0","4995742262708","0","0","0","-5318461661184","0","0","0","95598793732","0","0","0","-7702502040576","0","0","0","-15152746680","0","0","0","11475581644800","0","0","0","3406515981476","0","0","0","1309251750912","0","0","0","-4219445659756","0","0","0","152785249132","0","0","0","16488512538624","0","0","0","-12009829276292","0","0","0","7821673156660","0","0","0","8660473178112","0","0","0","7615850328922","0","0","0","5026923557240","0","0","0","-4055456918016","0","0","0","-9894865310484","0","0","0","6846947783780","0","0","0","-91187647488","0","0","0","3544887854592","0","0","0","8298536229388","0","0","0","1895749012260","0","0","0","-14060143730596","0","0","0","521098905600","0","0","0","-1650815889408","0","0","0","-15614360246876","0","0","0","-4111826428484","0","0","0","-2407255699968","0","0","0","108180324568","0","0","0","1185797265576","0","0","0","818515031040","0","0","0","-17773651137752","0","0","0","-12808306437844","0","0","0","117606150144","0","0","0","1805885919228","0","0","0","-23997985579008","0","0","0","12401588054016","0","0","0","-9852777768960","0","0","0","23204671733332","0","0","0","16920881304714","0","0","0","-15823133067348","0","0","0","-4703472281088","0","0","0","-11170835020800","0","0","0","491692782280","0","0","0","43270003123200","0","0","0","-15187727826432","0","0","0","15984879926940","0","0","0","12511465140532","0","0","0","-75345039720","0","0","0","3036074843236","0","0","0","14229561918332","0","0","0","22370469488640","0","0","0","-1251768720384","0","0","0","209620247464","0","0","0","25419621362688","0","0","0","9282998853768","0","0","0","-42263158976660","0","0","0","2666381890500","0","0","0","-1089733349376","0","0","0","4792980427924","0","0","0","6051342882816","0","0","0","14817992716800","0","0","0","19912030105180","0","0","0","-5225905101312","0","0","0","-49383303360084","0","0","0","-49200916215836","0","0","0","-48265984843776","0","0","0","41645935327054","0","0","0","453931704932","0","0","0","10283489137152","0","0","0","-12810194011876","0","0","0","-1702959896588","0","0","0","-79095079913472","0","0","0","-1247025074584","0","0","0","9151915272192","0","0","0","273225909780","0","0","0","24988389459916","0","0","0","-58628554731676","0","0","0","-1452122735616","0","0","0","45730696790016","0","0","0","-19110999398400","0","0","0","23360692819968","0","0","0","5896220926904","0","0","0","783945582408","0","0","0","-9417465734580","0","0","0","7433810108928","0","0","0","48505730853888","0","0","0","10758971672064","0","0","0","31482488174020","0","0","0","-6218913860188","0","0","0","50537696670720","0","0","0","11689842254900","0","0","0","32679572087756","0","0","0","-2191727849472","0","0","0","33425974567224","0","0","0","-28762114392652","0","0","0","-15913331868672","0","0","0","80864765320642","0","0","0","1034611545016","0","0","0","-55545507763200","0","0","0","136080966583296","0","0","0","-72032017196924","0","0","0","-11533087358820","0","0","0","130765242632","0","0","0","-30987708208128","0","0","0","-84225874134528","0","0","0","-40610925678020","0","0","0"],"derived":{"al":[[2,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"32.10.a.e","letter":"e","dim":2,"charpoly":["-1573916","-1580","1"],"traces":["2","0","176","0","1404","0","2784","0","30394","0","-6896","0","-45556","0","557728","0","-472188","0","780912","0","787712","0","3883680","0","552766","0","8762336","0","3909612","0","4857216","0","-13469312","0","6296128","0","8608892","0","-20941792","0","-32359020","0","-32230512","0","97751564","0","-20943040","0","-71404686","0","-163990176","0","51108252","0","-107740704","0","-114230656","0","63098960","0","25048812","0","137827168","0","-167443224","0","224200368","0","390283008","0","6805472","0","-23217420","0","658226512","0","-138223872","0","726598848","0","769941010","0","27482736","0","-1310977032","0","318429472","0","-71429100","0","-232742592","0","-593312768","0","-915407072","0","1850743460","0","-2368592176","0","-1029457284","0","-1168710816","0","1539421696","0","-1960203376","0","137353996","0","-2328106336","0","1125260004","0","3114496704","0","-3672498596","0","-1881662016","0","-1643714006","0","-2335266080","0","2522519064","0","1304303616","0","-1345596032","0","5941134256","0","-742479616","0","10927964224","0","-3655848108","0","8005806096","0","12660010496","0","4170165856","0","2539616552","0","-4772679888","0","5432569500","0","10101156000","0","-28724864268","0","-4756216576","0","16498655020","0","-10640888416","0","5891274240","0","10906056240","0","-20007670528","0","-25208562592","0","-14888270610","0","-20331840848","0","10613280204","0","6865281312","0","34495694720","0","-26842705680","0","-2270612900","0","-34252160736","0","-18642068472","0","30645823008","0","18168177152","0","-32246620416","0","18635973732","0","-36511535168","0","-44190167172","0","53313471456","0","16153813120","0","5186016064","0","-18617410600","0","67559658528","0","40666781568","0","74643428976","0","-103082672896","0","-10700307232","0","-3446233088","0","-467074080","0","48956039448","0","84119494272","0","115687011206","0","-17871245520","0","-73660601924","0","-31939549184","0","-65983379148","0","101321970048","0","116582150656","0","-24113506752","0","60014010692","0","-2404149616","0","-38038629732","0","39293071008","0","-80410740096","0","-81558306480","0","-24889971456","0","-303823545024","0","-110895013884","0","-18873310656","0","54905889980","0","-9428725536","0","-85229323832","0","-199137188128","0","181317548748","0","120792641472","0","-56413970944","0","-146377132816","0","92510574428","0","-105836497024","0","-79424360940","0","26117180880","0","-39460738304","0","-39920479040","0","150524298470","0","226025007200","0","269313646908","0","275839359840","0","-171725363456","0","-103600443456","0","-29957982464","0","172715096736","0","-274067383512","0","204943728624","0","-105797103360","0","2019788832","0","112453113524","0","269106045248","0","115130526252","0","-7409259168","0","-61956090496","0","228368619744","0","-202780832396","0","175454120992","0","115877268480","0","342666068496","0","-412251902708","0","128782104224","0","329931093796","0","-216494555552","0","225169542144","0","-196630440000","0","1151236489728","0","-219772530736","0","-555485528596","0","-385883859136","0","-282450495420","0","-824674994112","0","-464152376832","0","-455364192416","0","276263904666","0","-55947280784","0","-3690157800","0","10860549696","0","-401590355260","0","-80241459136","0","496826408860","0","-78092117952","0","-81060830328","0","-1038070824624","0","-1224546566144","0","692700850688","0","-255239945728","0","-227445822640","0","692864902716","0","-1026372788928","0","1506837223552","0","931204007552","0","-631350936244","0","-108097595392","0","-1090586869884","0","207835640064","0","1358979396956","0","701624793568","0","96731209844","0","1330146165984","0","377263614720","0","-643340886240","0","-179789053568","0","726683614000","0","193047548860","0","2234256271936","0","-1505724218628","0","-329696615616","0","718340315392","0","646951882560","0","-123644411452","0","1054233404864","0","1352848042752","0","-1279777542624","0","-819212896662","0","1168105179984","0","-1592954646824","0","1821747488160","0","-2391688065948","0","-9847759200","0","605785870080","0","-450846282368","0","1019073266644","0","-3415793782848","0","2658894879564","0","-1586231013696","0","-80668690432","0","-928510473872","0","276328719616","0","1470371026720","0","-242162493312","0","-1839073842288","0","-1887668862548","0","-1643822853504","0","766641573608","0","1639846219776","0","1804498570680","0","-1409671316640","0","2526407169152","0","1192477805200","0","-865245373224","0","-3489997468064","0","-1027342327296","0","-4301880333840","0","-3957123208960","0","1767663447840","0","1383779688456","0","-538774261296","0","-1104532182804","0","-16558059840","0","1408480731392","0","-844039405248","0","-3364998927872","0","-2250104021472","0","-1212059589804","0","3285298992912","0","1602683017984","0","1156047428352","0","3982555984466","0","6052880473360","0","577227521400","0","-491728317216","0","-1520696519040","0","-111887640432","0","-148280013652","0","7248545247136","0","1403358259944","0","788103661872","0","-6035669493828","0","1612884293536","0","1537840116736","0","-1937768439104","0","6712137771084","0","269051626848","0","6155747955456","0","3011462824944","0","-1734206964424","0","2094858895840","0","-2956594088268","0","2734450068816","0","-6671639058432","0","1618350424416","0","2666151638532","0","-7163214085536","0","-790036240128","0","3411583005408","0","-6377304211384","0","2590350712848","0","5337469883392","0","-4026291653984","0","-3010592546652","0","-3709455690624","0","6022827826432","0","-7566037857376","0","-6005900921836","0","2777828802032","0","-444290818260","0","3265826616960","0","1481623719424","0","-4047894815872","0","-5143592585412","0","-8303433035200","0","-5683714398540","0","-2703531839088","0","17548862424576","0","-2027943580480","0","-1709403075494","0","-812734721024","0","4928806257144","0","1226012353824","0","1542024927872","0","-9798981136384","0","1155045003948","0","-18144530822048","0","1930835795172","0","11943262974384","0","-6892020730624","0","-2722576008480","0","-7077052952960","0","-406095282176","0","2025937030860","0","12042815519904","0","-75448768860","0","-13023771102864","0","3415080917020","0","11094763446336","0","-863295803904","0","7568939918784","0","-1457665942528","0","8553811813728","0","-2414589595100","0","9128394020896","0","-8717637695364","0","3207830723520","0","-5870612943744","0","3045476518800","0","10648481024088","0","-5720118921056","0","3559041588648","0","8686850040048","0","-5581137509632","0","-1454324040736","0","6483959221800","0","-8329552336416","0","-11734465514772","0","13763250587424","0","14550955303936","0","1200068837952","0","-6814854495556","0","20307018250688","0","8519387805696","0","5738382191424","0","12051908138496","0","-8124329308480","0","-1656350971392","0","7118195994464","0","792827068308","0","3024686522784","0","2777364061066","0","4246436061984","0","-20682357131156","0","-17787825289824","0","74426296704","0","-2194994106576","0","1013507776256","0","-7037376862368","0","14563114766280","0","-14160287733072","0","-1623185033472","0","4718747597376","0","-713947144320","0","4826084648640","0","632546357340","0","-27334458673152","0","11256226972212","0","1824866455872","0","-53091449607912","0","-10467479817760","0","-7905015568156","0","-25536619806368","0","400245852732","0","-10122587090304","0","-3620021258752","0","-14361830122400","0","24549063132928","0","16846835530048","0","11729970903720","0","1942741341552","0","32461389600000","0","-1588812433472","0","10803852492168","0","-7032359330624","0","-26316552045780","0","-27774237438336","0","-35027359242428","0","-293472290400","0","13106987209728","0","9724492731936","0","12040930346388","0","13869021605520","0","34163285850624","0","20189445240736","0","-17609709493376","0","-9861130791872","0","14578941680412","0","21979840596000","0","-18537996618112","0","15645496485712","0","-9093009042068","0","22996313188256","0","13449554261604","0","-31606568546496","0","10050012276736","0","3332654222816","0","-21359668023218","0","30831757989600","0","-4280417549148","0","-1401054378912","0","-34830346466432","0","13958485025472","0","9573305527260","0","-6678706483552","0","12092877922548","0","12489797551056","0","-11580785692160","0","1935510392960","0","-18022058732184","0","71059718844176","0","-14981336959488","0","-3991180371936","0","39241834920340","0","510608581248","0","36872665758860","0","51324889926816","0","-36948796208796","0","-5651241928464","0","58289867034880","0","-11893053586656","0","-11577662210048","0","-26902250537584","0","-57066941938176","0","-12111886740960","0","-43102921262592","0","9976707930368","0","22085911671864","0","-9307335071744","0","57992903202888","0","-24735076650480","0","30697429095180","0","-26417469552192","0","19535764871040","0","-44272565496384","0","18110232974592","0","-51405450305376","0","-1230836466048","0","32193629941568","0","-32279105563388","0","-18280195343904","0","12037871761956","0","-32973741466896","0","-62446199782656","0","49184691997632","0","-25437753045836","0","-16384488419872","0","-28708113749364","0","-62378018450880","0","38425351994368","0","-29685646667280","0","37116022200","0","54412216475424","0","47364213508788","0","-53308619226624","0","-25707311316736","0","11429667428544","0","-21884746515006","0","-10333852744880","0","-57342984631752","0","-43429193085984","0","15483543115008","0","-14982449993456","0","2301082185472","0","-36409752944672","0","29486667208452","0","45952075813536","0","30839955281756","0","23896736536992","0","-32121952897528","0","24702269530112","0","-61253821434624","0","10681510184064","0","113254948876672","0","48075995668544","0","1191005070588","0","3768253616192","0"],"derived":{"al":[[2,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.324,"computed":"atlas","estimate":{"seconds":0.548,"low":0.334,"high":0.948,"bytes":1928570},"url":"https://sagebrush.space/atlas/mf/32.10.a"}