{"label":"24.10.a","level":24,"weight":10,"dims":{"new":5,"cusp":32,"eisenstein":8,"modsym":72},"old":[[2,1,6],[3,2,4],[4,1,4],[6,1,3],[8,2,2],[12,1,2]],"T":[[5,1],[7,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 3, 4, 6, 8, 12, 24]: [1, 3, 4, 6, 11, 11, 21, 40] (certified at ell = 2147483647)","T = [(5, 1), (7, 1)]; h of degree 5 = 1 x 5 (phi(ord eps) x dim S_k^new); 3 primes, 0 rejected"],"newforms":[{"label":"24.10.a.a","letter":"a","dim":1,"charpoly":["-1502","1"],"traces":["1","0","-81","0","830","0","672","0","6561","0","-73468","0","-78242","0","-67230","0","-161726","0","-653572","0","-54432","0","-1066696","0","-1264225","0","-531441","0","3824838","0","-1579480","0","5950908","0","557760","0","16015590","0","6337602","0","26268282","0","-44495228","0","5445630","0","14324160","0","-39902023","0","13099806","0","-24386050","0","-60978440","0","52939332","0","11942084","0","-189740258","0","4408992","0","-64940860","0","-106709572","0","86402376","0","302754376","0","81769546","0","102402225","0","-49370496","0","315315352","0","43046721","0","752833276","0","-134232580","0","-309811878","0","-433284294","0","-52578624","0","127937880","0","-542464760","0","1282496642","0","-482023548","0","-1961154450","0","-948061328","0","-45178560","0","-246612684","0","1473079774","0","-1297262790","0","766579218","0","-885357680","0","-513345762","0","-108679872","0","3039599333","0","-2127730842","0","-2670400500","0","3085463128","0","3604113468","0","2763167932","0","-439200384","0","-441096030","0","2750409210","0","1587043764","0","-1160256960","0","5748283256","0","3174615540","0","3232063863","0","-9163279922","0","-6460730224","0","-1061084286","0","-1310968400","0","-13492954466","0","1975270050","0","-716819712","0","-9114450036","0","4939253640","0","7287385368","0","-4482688809","0","-4288085892","0","1792710918","0","-849559200","0","-967308804","0","3589212108","0","-23451552474","0","15368960898","0","13292939700","0","11881685768","0","-357128352","0","-21307208448","0","20249743106","0","5260209660","0","12733929966","0","-5661997328","0","8643475332","0","2570291136","0","21802674060","0","-6998592456","0","48016627696","0","5342537644","0","-24523104456","0","-36931039240","0","-1061410560","0","-6623333226","0","12653765692","0","15312740824","0","-8294580225","0","-52491090036","0","4277189686","0","3999010176","0","-44099187766","0","11889052800","0","-25540543512","0","-39541254800","0","-44256979950","0","-3486784401","0","-33118679090","0","51136780424","0","-60979495356","0","29326385428","0","78368021728","0","10872838980","0","-4754553854","0","10762476480","0","25094762118","0","-43265032","0","-20240421500","0","35096027814","0","67480107574","0","117456282344","0","4258868544","0","92880082300","0","-41221993466","0","-10362968280","0","-84889893158","0","-34564018780","0","43939645560","0","17652285504","0","-92432577421","0","-103882228002","0","221052750702","0","9911929720","0","39043907388","0","83460428432","0","-29900793216","0","158853510450","0","-157484414140","0","-252456508980","0","76792967568","0","-91308188568","0","40666491066","0","3659463360","0","-210345409722","0","-281003198184","0","19975627404","0","105699585272","0","98915492450","0","-119319461694","0","9625835520","0","-307269376684","0","105078285990","0","-88568944760","0","-181036626798","0","-62092916658","0","116041236640","0","-53931783360","0","71713972080","0","522927313908","0","304567062078","0","41581006722","0","70418705794","0","251286132080","0","8803069632","0","-291399622104","0","104468661405","0","-246207545973","0","67868723180","0","265943333656","0","172346198202","0","-16387425600","0","321655969238","0","216302440500","0","-299262974796","0","283177069076","0","-249922513368","0","670278841344","0","-40977511680","0","-291933190908","0","-867504971458","0","172512477296","0","-223816602492","0","261711742160","0","-314512483666","0","35575231104","0","-195667134558","0","123581674160","0","35728778430","0","-1176633366120","0","363691580730","0","-222783146010","0","8025080448","0","624851619080","0","-128550544884","0","220311149196","0","-996325551466","0","93980813760","0","204458052350","0","-127505453376","0","-465610943736","0","-996849512864","0","811010606962","0","-257143858740","0","697162638112","0","-124677076896","0","-261797172903","0","513416592916","0","-359625964020","0","742225673682","0","729234179762","0","-1929878141976","0","523319148144","0","-43640257920","0","1100732663210","0","85947827166","0","-1263999677722","0","1828428571112","0","106188440400","0","-99564005796","0","-71708832384","0","1092929311746","0","3268975410704","0","826262061700","0","-159996874050","0","-1327625509328","0","-1253091792780","0","58062396672","0","1064472212860","0","-1378344255104","0","738270452916","0","1136452707636","0","-618575750388","0","-400079544840","0","203450940672","0","-1911322581300","0","-590278214808","0","-1798924689576","0","-1627758193500","0","363097793529","0","1653296041542","0","54949134912","0","347334957252","0","-786890902240","0","-1052367386880","0","-145209584358","0","-2432552739686","0","1354617541636","0","68814295200","0","255442982480","0","-663312305047","0","78352013124","0","-2055282920244","0","-204688527720","0","-290726180748","0","2931521825764","0","725577503310","0","1899575750394","0","1222656212420","0","-2321927468500","0","-1244885832738","0","-2499807021336","0","211891916544","0","-1076728115700","0","-1150500075418","0","3481395629176","0","-962416547208","0","3263474430236","0","636260750940","0","28927396512","0","-3145768600822","0","2865914345316","0","1725883884288","0","1348543750600","0","3405319260674","0","-1640229191586","0","505903961472","0","1791594321400","0","-426076982460","0","-419783238124","0","1032303902560","0","-1031448327246","0","-3914950414","0","-90204293760","0","458621783568","0","979763604696","0","-320415538790","0","-700121501892","0","2522867446390","0","450670853432","0","-208193582016","0","-1120750926720","0","4918212168326","0","-1766016598860","0","-3020631663510","0","-1291841069420","0","566885988936","0","-291167045568","0","252757038125","0","-3889346843376","0","-2590137308340","0","-7292589899600","0","-432745549164","0","2560934396240","0","3122014083566","0","1986371460936","0","-6426219771982","0","-1855968374004","0","2991414178440","0","-6599160806072","0","-877361027312","0","85974255360","0","3052884329094","0","2293429383560","0","536489991306","0","-9042544842420","0","-2422856791978","0","-1024955021052","0","-364536318720","0","-4079939395248","0","-1240332006744","0","13939837274744","0","-5420762256350","0","671860998225","0","5705808843710","0","861837743424","0","4251778292916","0","9010958966660","0","2282839644300","0","-346452364566","0","1908013324100","0","3936381255548","0","-323919824256","0","1317246324120","0","-4248264174732","0","3572034209046","0","-2615062121658","0","-10467341187480","0","-963013276800","0","-1317895790400","0","6296688319766","0","2068784024472","0","1684824998080","0","4771075102480","0","3202841638800","0","3237556568480","0","-637097212416","0","3584815375950","0","-4835455820550","0","-3739284924720","0","282429536481","0","7196035243528","0","-8147961072658","0","2682613006290","0","7839738835696","0","-1903823510980","0","-4142079214344","0","-7957744963720","0","-7605522335260","0","4939339123836","0","-165723723648","0","15507692590008","0","-2375437219668","0","-5362406085920","0","-5497500545338","0","-6347809759968","0","3813893805418","0","989909608128","0","-880699957380","0","-934372536328","0","1010064325634","0","385118862174","0","-6412223274258","0","1996818103000","0","-871760594880","0","-17168213603304","0","-22242758495968","0","-2032675731558","0","-11199152206780","0","-1115990213732","0","3504467592","0","515141234496","0","14845657266436","0","1639474141500","0","13668011707670","0","-2316589100160","0","-2842778252934","0","-6007445005528","0","-594960360960","0","-5465888713494","0","15477142813978","0","8552116925572","0","-9513958869864","0","-7564993529880","0","29080835154416","0","-344968352064","0","8292843999390","0","-6559583766256","0","-7523286666300","0","-16382562590684","0","21625762360366","0","3338981470746","0","6453194571698","0","6048529855440","0","839400430680","0","17380088722344","0","122239750375","0","6876081345798","0","-3720631711470","0","2042610751776","0","2799685521180","0","-17083765790640","0","4423862724950","0","-3559111290360","0","10153178714154","0","26404729224948","0","-1429835125824","0","-1600317798688","0","1487950061940","0","7487038771101","0","-23165588280736","0","8349170332424","0","8414460468162","0","-1794509136000","0","-14497039890546","0","-17905272806862","0","12671559344818","0","-33570255335812","0","-802866307320","0","18272315233288","0","2073431222016","0","-3162556498428","0","-9361869899520","0","2979046049640","0","-6760294702992","0","-6041255124240","0","3943858322300","0","2421964250496","0","-19464788553420","0","6923032249348","0","-12867134346450","0","31001992761488","0","-55309155121168","0","12756237545340","0","1856848850304","0","-28155031238864","0","20448977227380","0","-23688107886992","0","-20247309267750","0","-6220230373008","0","22850965408114","0","26078844976156","0","7395963274008","0","9861799187440","0","31664827370346","0","-3293985776346","0","-41021680031994","0","-28020271336272","0","-296416532160","0","22651077308364","0","-6397812818132","0","17037978187482","0","-30684593115702","0","-17684983011840","0","22761259052904","0","1848274989120","0","-23944865090271","0","-1618025819724","0","16807286777980","0","-19140818601904","0","-8561666407032","0","49846700655780","0","1066493409408","0","-8012154888450","0","-17406551792478","0","31832530511592","0","9664876397214","0","20939713252584","0","10569161871780","0","-779692677120","0","47462881726688","0","-9680520646712","0","24888819511404","0","-4699457782240","0","4455553782598","0","-8511341165190","0"],"derived":{"al":[[2,null],[3,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"24.10.a.b","letter":"b","dim":1,"charpoly":["6674","1"],"traces":["1","0","81","0","-794","0","-5880","0","6561","0","-30644","0","-15314","0","-64314","0","-575086","0","-617644","0","-476280","0","441880","0","-1322689","0","531441","0","-2328642","0","9588512","0","-2482164","0","4668720","0","9276678","0","-1240434","0","-5903766","0","33593452","0","-5209434","0","21135408","0","-5779207","0","-46581966","0","-108575594","0","24331336","0","-50029164","0","-127636868","0","147189214","0","-38578680","0","12159316","0","-33157756","0","35792280","0","-9293752","0","351080074","0","-107137809","0","180186720","0","-126193328","0","43046721","0","475037588","0","456618284","0","-188620002","0","-566133990","0","90046320","0","776669472","0","490409336","0","-1474684318","0","-201055284","0","-643692474","0","-2158338200","0","378166320","0","854142636","0","-667211378","0","751410918","0","-2483817486","0","-350852720","0","-100475154","0","3381505680","0","-1418892955","0","-478205046","0","2600996316","0","552122752","0","2721069612","0","4451638724","0","3631746720","0","-421964154","0","-6548565558","0","-2978971956","0","1711968048","0","469282216","0","1848941748","0","-468115767","0","3491681270","0","2363453336","0","-3773139246","0","-7613278528","0","11838266686","0","-8794623114","0","-2598254400","0","-4873561116","0","1970838216","0","-15571671384","0","-10369980777","0","-4052362284","0","5649960654","0","7777411320","0","-10338586308","0","-2064729612","0","8332126230","0","11922326334","0","-7365682332","0","17622935384","0","-3124873080","0","10645199040","0","10085114306","0","984904596","0","2735162790","0","16351451080","0","-2685778236","0","13692414960","0","4687590204","0","2899174680","0","18927082736","0","-323788268","0","-752793912","0","-26673200888","0","-56380450560","0","28437485994","0","8806867004","0","-17793338912","0","-8678162529","0","21670634532","0","-73690688570","0","14595124320","0","41725941802","0","-16781513952","0","-10221659568","0","-70377264400","0","-21984284814","0","3486784401","0","4588690358","0","9458600216","0","38478044628","0","-60741674692","0","-13540970720","0","36986081004","0","29921011970","0","-54546866640","0","-15278220162","0","50359231240","0","86209021636","0","-45856853190","0","89818825262","0","-57487677424","0","7293751920","0","40532481716","0","47049826678","0","62910227232","0","57972261338","0","31935416156","0","39723156216","0","34714144080","0","212136030899","0","-119449429758","0","-147197040378","0","101343673192","0","-16285478004","0","-6766950320","0","-197529497760","0","-52139090394","0","-116868235916","0","83010152052","0","-174825394200","0","-256030131912","0","99451224570","0","30631471920","0","-276175457826","0","71358905448","0","69185553516","0","355198417384","0","20255659346","0","-54044121618","0","-124276199040","0","-156679626868","0","60864284358","0","26327258264","0","-84258624558","0","-201189216366","0","-293830361728","0","271260946320","0","-28419070320","0","204006779292","0","53648462334","0","-8138487474","0","390042651746","0","7379239088","0","273901960080","0","56631715176","0","58796412957","0","-114930329355","0","-278757578756","0","-120927014288","0","-38734608726","0","638424492720","0","635287796438","0","210680701596","0","35660823588","0","-642559190596","0","44721942912","0","-437825678976","0","-143068255680","0","220406638572","0","757236373606","0","-254119001680","0","360582736644","0","100197502432","0","-569443514962","0","294171484320","0","-801975919854","0","-146838472768","0","-34179096474","0","-284274520632","0","-570012835494","0","-530433810198","0","750504783840","0","-377179844872","0","-241296728436","0","-458353323804","0","-252732102010","0","138669411888","0","760659926254","0","-865472578320","0","38011859496","0","-1072476494416","0","249808878130","0","149764281588","0","-272924530720","0","1314380314296","0","-37917377127","0","1279217978876","0","449510388060","0","282826182870","0","-695230418750","0","180915005304","0","191439720216","0","-71496778080","0","-955669482742","0","-305624278926","0","984272826094","0","1754357002448","0","-616675560768","0","1126224285972","0","194967605280","0","958899601566","0","-1029437743088","0","816950924716","0","-712364472234","0","-1364214778912","0","-142063046892","0","-210458606400","0","1170899348492","0","1054896459496","0","-394758450396","0","-2427936465876","0","1339169413212","0","159637895496","0","54647261760","0","1454534052660","0","-1261305382104","0","710773517304","0","511091824356","0","-839968442937","0","-398320524642","0","-2064350835120","0","-328241345004","0","1713720530800","0","-647673442752","0","457646812974","0","-34446242998","0","-691553748404","0","629970316920","0","-5514219012032","0","-1605894727063","0","-837425490948","0","90410272524","0","-678189252984","0","-167243098572","0","177098019308","0","887586974910","0","674902224630","0","529765834132","0","130770847076","0","965708433054","0","1438271759448","0","742016768640","0","-596620268892","0","-724082809778","0","-514450123928","0","1427457766104","0","2258388217204","0","1972151083884","0","-253114719480","0","2701242676474","0","-2976122960772","0","862261122240","0","-584469815320","0","2185793417282","0","816894258786","0","-2793221017440","0","3327190502536","0","79777272276","0","3999718977676","0","-5922286905728","0","221548185990","0","5596039558354","0","-2684915509920","0","1324467537480","0","1474757276760","0","69410873626","0","-217548037116","0","1126601006270","0","438347980640","0","1109085611760","0","-323667638112","0","-2408822634682","0","379694806524","0","-6316699320918","0","-6919997813588","0","234833149080","0","3328867861200","0","518185878221","0","1533093701616","0","-5334887644308","0","-2132584141448","0","-26226849708","0","-438385465088","0","88502775998","0","-60976306872","0","-2010439080062","0","6818057823684","0","-2160529271928","0","2458375983752","0","3911304182992","0","-4566816495360","0","-6695873836626","0","-3534601146856","0","2303436365514","0","6823230353364","0","-4688624304394","0","713356227324","0","-2883606895680","0","-1028980326960","0","-1441260451872","0","-4510466273816","0","-1718405152094","0","-702931164849","0","1993282394758","0","8671143789840","0","1755321397092","0","-4954615817492","0","5199561053052","0","-5968945774170","0","1662726646516","0","6348423982580","0","1182205069920","0","2365303733064","0","3395173173876","0","3379801285962","0","6385769897310","0","-5729684506632","0","-1359302630112","0","3784911747120","0","4512481514150","0","-827954425008","0","4236971682560","0","-372610079504","0","-5700558416400","0","2664829527760","0","12691028616000","0","-1780727069934","0","3080069158338","0","9742512030168","0","282429536481","0","-19319123936872","0","6633281247614","0","371683918998","0","1016086274864","0","-1740990115804","0","766146617496","0","-13213393486616","0","-2772394928380","0","3116721614868","0","-5022358699680","0","-5171287463952","0","-4920075650052","0","-1876581948784","0","-10016110199722","0","-1096818628320","0","8632518229946","0","3923202902640","0","2995872561324","0","1954630996552","0","-15859211653630","0","2423601969570","0","-2966931874842","0","-12682619348768","0","-4418296197840","0","3646425647304","0","284797736288","0","-1237535833122","0","-9399583748684","0","5916068247124","0","4079097730440","0","14604846817680","0","-2254055623196","0","6982930752516","0","10228792278718","0","-12154677245088","0","-3714405108390","0","-10758497787656","0","2063013993600","0","7275324846222","0","-2672490006166","0","4479928708972","0","-4656501871344","0","3869607526104","0","-20748794067088","0","590793905520","0","22328872185750","0","3162769562168","0","3283131018996","0","-13907206756996","0","2460333323998","0","3811035960918","0","3323541036802","0","12363907078896","0","5095728405792","0","13779218796360","0","-9084572411705","0","4695753168378","0","8233764736938","0","8343090575400","0","2586768708636","0","4099178474640","0","-3653000702026","0","3217575653496","0","-8688224094438","0","9895003853724","0","2811845670480","0","8670184920928","0","-4486068759276","0","17183018502819","0","3867068343232","0","507777875384","0","-9675403810398","0","-15293858338080","0","-19142777459058","0","-11922960270618","0","11128466511602","0","-27924131419468","0","8208837528552","0","31117213034360","0","-3246481781760","0","-1319123718324","0","-13054157938752","0","1639395311928","0","-548122975920","0","-22328211760704","0","62440304051084","0","-15999889318560","0","-6615708226620","0","459823708108","0","-4223266321914","0","-24074689812080","0","-14557051846672","0","-9466327109196","0","-26175635697120","0","-26623400739176","0","6723822316212","0","142324518128","0","-12270159947142","0","-14160856930200","0","-8260679533150","0","3569492528308","0","-20738440684872","0","-13992610694896","0","38955325590762","0","8055549190170","0","26846628392910","0","-2608756120080","0","2481149225520","0","9077909129460","0","-5376440253236","0","-22370212083906","0","-41553209048454","0","-8452288037760","0","5780071341288","0","38505565481040","0","65499940213473","0","5604029834796","0","-8007580758964","0","15742279061192","0","28771071808104","0","3605154739212","0","17516355101280","0","1640708407026","0","11636389035858","0","17348609989560","0","-4377573851058","0","-41122336498728","0","-2171719255260","0","-10066372122240","0","14844274569760","0","-10198360267040","0","-12691049776308","0","-12983052157520","0","-17256677367098","0","4930007032998","0"],"derived":{"al":[[2,null],[3,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"24.10.a.c","letter":"c","dim":1,"charpoly":["-2798","1"],"traces":["1","0","81","0","614","0","2184","0","6561","0","4940","0","69934","0","49734","0","376978","0","780884","0","176904","0","1764632","0","-1576129","0","531441","0","-3212226","0","-342880","0","400140","0","1340976","0","-19744506","0","5664654","0","-15882390","0","-22575764","0","4028454","0","48948528","0","-35583751","0","30535218","0","52342550","0","3033160","0","63251604","0","77057660","0","13045726","0","14329224","0","42939476","0","-280727164","0","142935192","0","-88554680","0","-59105654","0","-127666449","0","10788960","0","-415337264","0","43046721","0","42806932","0","231464492","0","-260190306","0","-803465958","0","152735856","0","-27773280","0","479462776","0","674417762","0","32411340","0","-346839354","0","1302796264","0","108619056","0","2023964844","0","2699870350","0","-1599304986","0","-2860218894","0","1083484048","0","458836974","0","823319952","0","-2333544091","0","-1286473590","0","-2166961956","0","304278016","0","-1828636884","0","-113498684","0","1705450656","0","326304774","0","-5274081078","0","-3286933812","0","3964830768","0","345473960","0","-1972306764","0","-2882283831","0","7475241334","0","-5778045160","0","2473352658","0","-210528320","0","9956073790","0","4239746550","0","3853956288","0","-6788247324","0","245685960","0","8218028712","0","-5713735017","0","5123379924","0","17691363918","0","-3442265736","0","6241670460","0","2494440948","0","-8725558506","0","1056703806","0","-12123126684","0","1862271320","0","1160667144","0","-20187331392","0","-28773891646","0","3478097556","0","-4624091610","0","747248200","0","-22738900284","0","-7015501584","0","-9751787460","0","11577750552","0","3857566960","0","32596454932","0","-7172929080","0","-13861519096","0","-748849920","0","-4787557974","0","26363579452","0","33427987552","0","-10340982369","0","3468947748","0","22754587846","0","873905760","0","5592846890","0","30054396192","0","-33642318384","0","-22428314384","0","68681741682","0","3486784401","0","-21848423114","0","54610341656","0","3467361492","0","-10616818628","0","8717282080","0","18748623852","0","85320521986","0","-43122001104","0","-21075414786","0","-135616849144","0","32138325700","0","-65080742598","0","-37646512466","0","-16682983792","0","12371604336","0","-7786077260","0","-119925285770","0","-2249635680","0","69747755482","0","-204569741476","0","38836484856","0","-34687139760","0","23524535987","0","54627838722","0","-53632826490","0","47313403240","0","2625318540","0","123407774288","0","-49305468576","0","-28093987674","0","8010075764","0","43125856884","0","105526497384","0","327993675576","0","3638241786","0","8798143536","0","-241045660578","0","-15868396440","0","163941152364","0","294376088552","0","-110225005486","0","218689498350","0","106903585152","0","-58862767732","0","-129543703866","0","-172366478696","0","-21123789870","0","-231677730414","0","-1693827200","0","-165847189872","0","87762207888","0","434453219484","0","-30886472706","0","37165794894","0","-457147265438","0","-54372573520","0","66688916112","0","-289952700312","0","287092123677","0","-189017071371","0","-36290871556","0","-35388845072","0","-104204360790","0","114316129200","0","-102452897578","0","-175523918436","0","-224643813084","0","-151545329476","0","24646519296","0","-545077579392","0","6624421440","0","-148119587604","0","-113364738586","0","665227442096","0","-9193393404","0","-255017080096","0","688511744942","0","138141503136","0","735502964754","0","-23978969920","0","26430686694","0","-97537859640","0","559968882522","0","-427200567318","0","168293929440","0","26283456248","0","-266241638772","0","1079712481764","0","1122899619206","0","321151292208","0","-594165958162","0","28491865584","0","27983390760","0","-710911602512","0","-1118681827790","0","-159756847884","0","1377972894688","0","709727771448","0","-233464990311","0","-1291715332868","0","-493328098212","0","605494548054","0","-516414497854","0","-78459006600","0","-468021657960","0","93779815584","0","-1154586276598","0","200341565298","0","-308221843858","0","-260119577776","0","-17052793920","0","1171957219860","0","-613108126176","0","806441976990","0","-111524274160","0","-1230773918036","0","343419470550","0","-1745505253664","0","-1380812282604","0","312170459328","0","414092505868","0","1332626424424","0","-549848033244","0","2062291734060","0","-1210938533028","0","19900562760","0","-193403421120","0","585739520820","0","665660325672","0","-1440657448200","0","-212959363356","0","-462812536377","0","2600614381854","0","-129086748336","0","414993773844","0","799916906096","0","241805728320","0","1433000477358","0","2290642261066","0","-2892793654964","0","-278823524616","0","-129258216640","0","1312773433961","0","505575307260","0","-1110719062260","0","1242714414216","0","202049716788","0","-175783729940","0","3092951433150","0","-706770238986","0","1657720394900","0","1773864546404","0","85593008286","0","-2508375887784","0","-907096584576","0","-981973261404","0","-1477181387314","0","-1578813479576","0","150843976920","0","2117436073076","0","-1756174400916","0","94014038664","0","-3621902745094","0","-1527370944900","0","-1635173842752","0","-2781287669528","0","3800096196674","0","-2330685223326","0","93490339488","0","258572197000","0","281725902036","0","-3030996324724","0","-267749505920","0","-374551420410","0","-3035542870318","0","505518450528","0","60527104200","0","5642320620888","0","3074418697498","0","-1841850923004","0","-1432796071874","0","-71099448352","0","-568255628304","0","3423166357152","0","3562137926","0","-789894784260","0","2065123074474","0","1792980879532","0","937797794712","0","-1754769652272","0","1747862312141","0","312462923760","0","-7443244382868","0","4456437773560","0","2640312849492","0","186826701824","0","-2488514042434","0","-581007255480","0","2787525672578","0","3574512831684","0","-1122783046776","0","7087733651848","0","380664840400","0","-60656843520","0","-2757060360402","0","-69688191976","0","-387792195894","0","5225779516884","0","245090949878","0","2135449935612","0","1047146702784","0","-5668396790832","0","2707666991712","0","64445886440","0","562685272738","0","-837619571889","0","-5757435853306","0","1472928392208","0","280984767588","0","74782391276","0","-3238285781892","0","1843121615526","0","3660523891700","0","-7040396725516","0","70786366560","0","-2018177360568","0","-5987311617420","0","453020598090","0","6257758805982","0","-15418168823304","0","2434406091552","0","-757497149136","0","-2518562864218","0","-2725027789104","0","-605057020160","0","212121011440","0","-1816693465104","0","-9140810896432","0","2845307040576","0","5563221076242","0","5062882553154","0","-2604058431144","0","282429536481","0","-8510566361192","0","-4452809600386","0","-1769722272234","0","-1386792190160","0","4722657571364","0","4423437674136","0","11523565608680","0","4589798179076","0","280856280852","0","4420339219296","0","-2491188486288","0","-859962308868","0","-3547719728240","0","10113482071382","0","706099848480","0","1951192037050","0","5896516844400","0","1518638532012","0","5388950394440","0","-9756603397630","0","6910962280866","0","17276546519142","0","540423111520","0","-3492882089424","0","-12402304232760","0","-437460119200","0","-1707108597666","0","6113029307060","0","20935502142292","0","-10984964780664","0","-6246718064496","0","912339802084","0","2603204381700","0","-5443767825346","0","18452518188384","0","-5271540150438","0","-291981930760","0","2366329160832","0","-3049367509746","0","-7141413107606","0","-19022616550292","0","-1351321687152","0","-4167983856936","0","-17629052895376","0","1002099951216","0","-1332223593450","0","16674533623736","0","-630672258060","0","2477348027260","0","18979154795998","0","-9713948147370","0","-13414291284478","0","5045869629168","0","-182220490080","0","7045604594760","0","-4188750100793","0","5649568194042","0","-3508233300438","0","-5096460294744","0","-16570149059556","0","-34841787111792","0","2680817465270","0","3145755273336","0","-11682419330022","0","10073630768796","0","-2809658320560","0","12008766483296","0","10862497445652","0","1905487414947","0","-2051766084160","0","-19632373487176","0","4424854936482","0","-4732644911904","0","-31708926948210","0","-4344258945690","0","-2768692051214","0","13493632533428","0","3832385662440","0","8086012589944","0","664543186944","0","212650801740","0","38223122338752","0","1531586742072","0","9996029717328","0","1101408050880","0","19731989813900","0","-3993742954656","0","-5357492922684","0","18475744382668","0","-2275613001594","0","32213465671568","0","211466244080","0","648816136884","0","-247881125856","0","-21402762988520","0","3493194407604","0","-6192982991120","0","31119888497274","0","8547646288104","0","15472916250274","0","-27786781815884","0","26567487721656","0","1143434590480","0","-2206140975894","0","294697584666","0","-1940441732274","0","-28026573630480","0","712649626416","0","8344709522676","0","-4133494806836","0","-19524698506818","0","33016834313082","0","-12395021474688","0","-1285340111640","0","-11518593074352","0","-26322055466271","0","13279233341484","0","-17667169470644","0","-3327938927800","0","23844463172712","0","-22930839690996","0","-7178663445408","0","-8928225444366","0","-32832958277550","0","-3969121832520","0","17713849366350","0","47270645032920","0","-2839192248540","0","8659190397312","0","-39837915578848","0","-58242746032544","0","-4767884186292","0","458810394800","0","-35262119456570","0","-10493040013146","0"],"derived":{"al":[[2,null],[3,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"24.10.a.d","letter":"d","dim":2,"charpoly":["-60956540","3652","1"],"traces":["2","0","-162","0","-772","0","-2880","0","13122","0","42248","0","277436","0","62532","0","731524","0","656632","0","233280","0","1253744","0","4428094","0","-1062882","0","979212","0","-7609904","0","-3422088","0","-39070080","0","15860172","0","-22472316","0","-829452","0","-5383672","0","-5065092","0","-6514560","0","124348786","0","-59253444","0","-42168964","0","224782832","0","-53187192","0","74106248","0","233394236","0","-18895680","0","-187453816","0","237129592","0","-101553264","0","129456016","0","-66510700","0","-358675614","0","-1266289920","0","-372667216","0","86093442","0","561880312","0","-844912904","0","-79316172","0","-192447372","0","2309760","0","616402224","0","1594901008","0","1487834884","0","277189128","0","182759004","0","-3004121248","0","3164676480","0","2189704296","0","-26867524","0","-1284673932","0","3474547236","0","-4421757664","0","1820257596","0","1759328640","0","3409268170","0","67185612","0","-6405495528","0","-6409056976","0","436077432","0","1171102072","0","-10187354880","0","410272452","0","-5670040332","0","-4320720024","0","527679360","0","3449652464","0","10511281128","0","-10072251666","0","-16300838372","0","19529822368","0","4799528964","0","11094320224","0","1523031356","0","3415686084","0","17883671040","0","18298598424","0","-18207409392","0","-832504272","0","18080003502","0","4308162552","0","-17749134708","0","24643863360","0","-6002606088","0","-11397870696","0","-10012167348","0","-18904933116","0","4164504168","0","-1423626224","0","1530550080","0","-28331665920","0","13776729604","0","15183759096","0","-6463762596","0","-35546005408","0","-19207496952","0","-55856350080","0","-13582720488","0","8225814384","0","69321523168","0","-31196173480","0","-10485937296","0","-77883605008","0","-29826224640","0","5387366700","0","107100992632","0","-21212721616","0","29052724734","0","75047777304","0","-21326773396","0","102569483520","0","67194080660","0","40205111040","0","30186044496","0","-3506461472","0","-50843727324","0","-6973568802","0","67724837404","0","72603068176","0","-45512305272","0","83321222440","0","-91650286144","0","68437945224","0","-162496849916","0","-74271300480","0","6424609932","0","-57023508496","0","-254909478136","0","15588237132","0","68460180460","0","42710137936","0","-187090560","0","-92582854664","0","108591401228","0","-49928580144","0","-141075384908","0","-83612480696","0","-129186981648","0","70708855680","0","69766053094","0","-120514625604","0","-204518217636","0","70724298992","0","-22452319368","0","213294984992","0","407560999680","0","-14803479324","0","-239727049336","0","100263323544","0","243333821088","0","-226132312368","0","63445057908","0","-256338794880","0","440211548172","0","347362583088","0","-177366047976","0","110785766384","0","676296980932","0","2176269444","0","-179071488000","0","168420601000","0","104058588492","0","-64208425712","0","236581781796","0","-281438326116","0","83955306304","0","-641461207680","0","358162370784","0","389695000296","0","21230245500","0","-147440865276","0","-355658684156","0","-983231579936","0","-142505619840","0","-564673841328","0","-4669583046","0","-276150721770","0","-1245356302120","0","257166505904","0","-5442034572","0","1416656799360","0","-874607392340","0","518845137768","0","26941760616","0","-197013208280","0","519133615056","0","-1020258478080","0","-707181995520","0","-35322271992","0","726811265276","0","734218786528","0","-94859267832","0","1860695604896","0","-946350855332","0","825175745280","0","114718331460","0","-1137199635872","0","-33232068612","0","643626190128","0","419532209268","0","459273266892","0","-603359550720","0","741609902608","0","349978321944","0","-817652851176","0","336847433260","0","-42742028160","0","2053912979708","0","412096671360","0","-279421849584","0","975255984064","0","-187023801628","0","-851413771368","0","-494072655296","0","-222498912960","0","815852384946","0","49495591720","0","-1375633942248","0","1320367908132","0","1763673621092","0","-434608012848","0","-1581915611808","0","-5459101482240","0","1118947148116","0","-388761846084","0","1164309248588","0","849692274256","0","-898639938144","0","-2276009372232","0","-478084596480","0","-123365539836","0","-2512575759328","0","26879448584","0","-276670572804","0","-998371827872","0","2097226033896","0","-1448577354240","0","-469028054024","0","-57462200704","0","-1482186472344","0","2317606485096","0","-404089447656","0","1474800160752","0","4479891125760","0","43624713624","0","67432846032","0","-5034367048272","0","3425388689736","0","-1464480283662","0","-1073743695348","0","6450922569600","0","-348961166712","0","3344875819328","0","993101160960","0","1437679911348","0","3139427266612","0","454342106888","0","-1996152932160","0","-3354396516448","0","-886840198958","0","486211093128","0","23968967064","0","-248446358736","0","923227526376","0","6098447819464","0","967142854044","0","810985555188","0","-6494172081016","0","-245578748072","0","1531299582396","0","2826020067792","0","-8047589506560","0","-337324837608","0","1366466843468","0","52804811504","0","115313724144","0","-4446635093704","0","-4128985741896","0","-123974556480","0","-2013537765100","0","4321563891912","0","2294864939520","0","5815839376528","0","897251005444","0","-1115915097924","0","-5601586164480","0","-9026378142736","0","-1229884486776","0","6963289610792","0","-622366867264","0","523564770276","0","-3810766417948","0","-14565997474560","0","2879226438048","0","-6164190760272","0","-5721447811276","0","1555807253112","0","8869616465260","0","-271300804880","0","4524364356480","0","-1280591642880","0","6199360655116","0","1100200359528","0","633252078804","0","-1850427623128","0","-666290965104","0","7526717354880","0","-1684470178214","0","-5615043376608","0","5080991091864","0","2891851266272","0","2526890051880","0","3577166577056","0","16092180208348","0","849360920976","0","-900096800668","0","-3507539362536","0","6308572005648","0","-1282939735664","0","4545299704352","0","2415924195840","0","-2630120307828","0","6571726248208","0","-436376702700","0","7779584407704","0","631062909100","0","-8675180403192","0","-11921635514880","0","-4721895325536","0","1718230450896","0","441113614064","0","3223231334468","0","-2353270703454","0","650684651516","0","-2668863288960","0","-6078869961624","0","-412803164152","0","-380987983848","0","1727468645076","0","-3137727365752","0","1192483967992","0","-8308128165120","0","-10731328844496","0","669820204776","0","-5442720533460","0","-1492667412468","0","7573050259152","0","-3256613994240","0","-17742841292160","0","-5320206494420","0","-2445069604176","0","-8767315407488","0","30414435454496","0","284023379232","0","3725796493376","0","-6600490490880","0","4118341913244","0","-6238484982156","0","-11227111928544","0","564859072962","0","3628176529936","0","-4496236918052","0","-5485711829724","0","5828833405408","0","-4020436310408","0","-5880848522256","0","9372992282864","0","5870255313352","0","3686496727032","0","-6137071683840","0","14424675860208","0","-6749019017640","0","-8354402070848","0","17883982555276","0","7423673177664","0","-6746859433004","0","32561403960960","0","-5543473563144","0","9286577402864","0","-14023410478076","0","13162244843196","0","19839987158364","0","-23145809821648","0","6015975338880","0","-3469986823632","0","-25263217850816","0","-520393404492","0","40438008310664","0","1501614873656","0","4618904188176","0","8935704524160","0","33872350371848","0","20647667729016","0","13814633961644","0","-5021112856320","0","-1262647207692","0","-39535854996400","0","-26421467304960","0","-5545274617260","0","29951413205812","0","-25117778280952","0","-3459521172816","0","20561620644816","0","-20158737208352","0","15154335360","0","-29940715439940","0","2493863440288","0","7499211227784","0","-38595263748536","0","-869130584740","0","-8795903499468","0","37381417848932","0","-18006357722208","0","4044214991664","0","-31965888078768","0","-13779920700466","0","11427106177548","0","-29274614886492","0","-55837316059200","0","6772610936376","0","4901897767584","0","-11797796147540","0","10464145513488","0","16357082837844","0","-28372862027544","0","-5727417310080","0","12322915176896","0","21081335392488","0","-5651050300614","0","43633159514816","0","32620906775056","0","9761684673924","0","-13234234648320","0","-39085876843236","0","16565975628516","0","-44693394220700","0","50388900595192","0","-5728668218352","0","18353770014736","0","3712689123840","0","1818637868808","0","6529978621440","0","32867229959376","0","-17276893784352","0","7326741156576","0","3559264266232","0","-33012440974080","0","8784953108328","0","13625870257928","0","1199081825244","0","47457330343712","0","40624030801888","0","19417890996216","0","-36805245223680","0","-57469888941088","0","-8121329207064","0","27290495205088","0","27173964643764","0","-19710039508128","0","-53597239086620","0","67442093848376","0","18316717301808","0","76848092153824","0","44672445394644","0","-5139049690548","0","-22817469813108","0","6292455356256","0","20763442385280","0","-62895896507496","0","3484063040600","0","-35657135401932","0","7493413098132","0","32105381483520","0","-28136369230128","0","21012975838080","0","-15644674137534","0","14366649886056","0","-76899855069704","0","46495035151648","0","-8973647077104","0","-55024319992248","0","68217470703360","0","-54780055455492","0","4077068849220","0","-47562817121328","0","-176277824964","0","4043862627792","0","-102449819863224","0","14504790528000","0","35806360942016","0","-64195666585840","0","-13642068681000","0","70566898503488","0","53940199892108","0","-8428745667852","0"],"derived":{"al":[[2,null],[3,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.325,"computed":"atlas","estimate":{"seconds":0.571,"low":0.349,"high":0.989,"bytes":1907395},"url":"https://sagebrush.space/atlas/mf/24.10.a"}