{"label":"34.8.a.c","letter":"c","dim":1,"charpoly":["-30","1"],"traces":["1","8","-42","64","72","-336","-580","512","-423","576","-3906","-2688","-14086","-4640","-3024","4096","-4913","-3384","7172","4608","24360","-31248","45696","-21504","-72941","-112688","109620","-37120","-58680","-24192","-18340","32768","164052","-39304","-41760","-27072","210596","57376","591612","36864","339270","194880","141248","-249984","-30456","365568","735456","-172032","-487143","-583528","206346","-901504","-1608798","876960","-281232","-296960","-301224","-469440","-1465320","-193536","411812","-146720","245340","262144","-1014192","1312416","-1232464","-314432","-1919232","-334080","1750560","-216576","-1844638","1684768","3063522","459008","2265480","4732896","-8487928","294912","-3678939","2714160","3897192","1559040","-353736","1129984","2464560","-1999872","4278186","-243648","8169880","2924544","770280","5883648","516384","-1376256","4004462","-3897144","1652238","-4668224","-19612902","1650768","-1588000","-7212032","1753920","-12870384","5075442","7015680","23065976","-2249856","-8845032","-2375680","-13680294","-2409792","3290112","-3755520","5958378","-11722560","2849540","-1548288","-4230335","3294496","-14249340","-1173760","-10876752","1962720","28427792","2097152","-5932416","-8113536","-19269774","10499328","-4159760","-9859712","7892640","-2515456","-4883946","-15353856","42307130","-2672640","-30889152","14004480","55019916","-1732608","-4224960","-14757104","20460006","13478144","-61108818","24508176","-7424128","3672064","2078199","18123840","-1320480","37863168","-33393562","-67903424","67569516","2359296","-26503680","-29431512","64748378","21713280","11811744","31177536","-20280852","12472320","135666879","-2829888","-3033756","9039872","-53491680","19716480","42305780","-15998976","61543440","34225488","-142704588","-1949184","-109073308","65359040","-17296104","23396352","15162912","6162240","19190178","47069184","-63579600","4131072","-148524600","-11010048","-182960842","32035696","42596064","-31177152","-175630116","13217904","47755568","-37345792","51763488","-156903216","34034400","13206144","24427440","-12704000","-19329408","-57696256","-28013832","14031360","-62590354","-102963072","-73523520","40603536","10169856","56125440","10637200","184527808","77474796","-17998848","69204518","-70760256","304552520","-19005440","30854043","-109442352","144414642","-19278336","286982582","26320896","-95150160","-30044160","232847826","47667024","52952832","-93780480","356492976","22796320","-183690120","-12386304","272255030","-33842680","-85223502","26355968","-35074296","-113994720","-101024792","-9390080","-163682064","-87014016","-291840288","15701760","-178488576","227422336","14856912","16777216","417430566","-47459328","-122145680","-64908288","24821640","-154158192","-144571704","83994624","-115833456","-33278080","-179683812","-78877696","386026224","63141120","190004744","-20123648","-343134960","-39071568","284907546","-122830848","-45078064","338457040","7757820","-21381120","67852182","-247113216","-428651002","112035840","-21688128","440159328","-196776600","-13860864","24137569","-33799680","-168187404","-118056832","-338468562","163680048","-105503040","107825152","-428175720","-488870544","-643673856","196065408","-81923840","-59393024","823741884","29376512","29650464","16625592","-787365988","144990720","66696000","-10563840","828333036","302905344","387852734","-267148496","17664480","-543227392","-76258500","540556128","229204080","18874368","-213168564","-212029440","-35236036","-235452096","1027446926","517987024","-968770992","173706240","-426564480","94493952","-642753688","249420288","-89082108","-162246816","-88737408","99778560","457630826","1085335032","574572348","-22639104","71636040","-24270048","760197880","72318976","-138184704","-427933440","687338250","157731840","176552882","338446240","-1544107320","-127991808","798310566","492347520","126040320","273803904","-119680680","-1141636704","394043688","-15593472","-842434155","-872586464","177674070","522872320","-132813936","-138368832","-54590320","187170816","-143511210","121303296","933102840","49297920","604238738","153521424","456823584","376553472","826566480","-508636800","-1603189210","33048576","-1193967264","-1188196800","802936104","-88080384","163114560","-1463686736","-59747904","256285568","30612390","340768512","-224504448","-249417216","809330508","-1405040928","-611130816","105743232","2266013756","382044544","174709920","-298766336","-628739010","414107904","258337240","-1255225728","-264883608","272275200","-822587976","105649152","-142728634","195419520","205125732","-101632000","849885600","-154635264","280597824","-461570048","-1776899460","-224110656","-2710108710","112250880","428104010","-500722832","-311097888","-823704576","358359133","-588188160","-238850960","324828288","-2310836472","81358848","-1824072456","449003520","1889004770","85097600","177448320","1476222464","327731712","619798368","2844988424","-143990784","206061489","553636144","1751335200","-566082048","308029392","2436420160","2566570356","-152043520","-1292357874","246832344","-1325188620","-875538816","311813376","1155317136","588231360","-154226688","-2977027894","2295860656","-538563060","210567168","-1197652110","-761201280","3073660208","-240353280","55460160","1862782608","2948989332","381336192","714829120","423622656","1402529604","-750243840","-551714688","2851943808","-523132852","182370560","680521554","-1469520960","-557210568","-99090432","-2966455256","2178040240","1113154560","-270741440","288321264","-681788016","3362817416","210847744","-2719431876","-280594368","-4460319828","-911957760","288294840","-808198336","118961136","-75120640","-1015324800","-1309456512","-995910682","-696112128","851795784","-2334722304","1391191464","125614080","-1412128944","-1427908608","-5698008918","1819378688","2090062902","118855296","1069890040","134217728","786194640","3339444528","-114336000","-379674624","-2872691136","-977165440","2246650560","-519266304","-3946717362","198573120","-2812950808","-1233265536","-1776842760","-1156573632","90104420","671956992","-1316701031","-926667648","619830360","-266224640","-4778957220","-1437470496","365431824","-631021568","5993592696","3088209792","1902780558","505128960","-6833429764","1520037952","4581078936","-160989184","1660750272","-2745079680","2509624826","-312572544","-174196476","2279260368","-420852960","-982646784","4922998240","-360624512","-636842304","2707656320","2009288442","62062560","-1989619328","-171048960","-805987476","542817456","-1381106064","-1976905728","-984981168","-3429208016","2133784620","896286720","5508758226","-173505024","1867717970","3521274624","6238033200","-1574212800","-3333111936","-110886912","-6729187858","193100552","7684355364","-270397440","-2260371360","-1345499232","6283964988","-944454656","429003216","-2707748496","-6310569468","1309440384","-131534480","-844024320","7376464872","862601216","5726886786","-3425405760","205166880","-3910964352","-2005733856","-5149390848","5227879032","1568523264","-3040842382","-655390720","521332272","-475144192","-304584120","6589935072","-8925894124","235012096","-1429444800","237203712","-10359633216","133004736","5181995414","-6298927904","-1025952480","1159925760","4086820962","533568000","2076034706","-84510720","5009195520","6626664288","-2481347880","2423242752","4915389481","3102821872","1176580944","-2137187968","-1034658148","141315840","8293060088","-4345819136","2628794868","-610068000","2046801024","4324449024","6861896298","1833632640","-740486880","150994944","-8232604242","-1705348512","-11467996762","-1696235520","-427133952","-281888288","-574625376","-1883616768","5723539920","8219575408","-446762400","4143896192","-1177077120","-7750167936","-1387423728","1389649920","780281874","-3412515840","-6981509124","755951616","719726234","-5142029504","-2906589756","1995362304","-299502720","-712656864","-2681441280","-1297974528","-12791205840","-709899264","-1608537672","798228480","-745133530","3661046608","-7995792420","8682680256","-8266917828","4596578784","-2322587960","-181112832","-6065414964","573088320","-8897886570","-194160384","-351644112","6081583040","-12053268444","578551808","22661528628","-1105477632","-10246484626","-3423467520","-958298040","5498706000","3046113360","1261854720","-1666833510","1412423056","-9779608692","2707569920","10727323338","-12352858560","1510394512","-1023934464","-2224018944","6386484528","11375483160","3938780160","-17571356968","1008322560","3590393544","2190431232","-838064640","-957445440","3961433952","-9133093632","7714985040","3152349504","13583868432","-124747776","921040000","-6739473240","-11434711260","-6980691712","4280177880","1421392560","3376621592","4182978560","11625226677","-1062511488","-693951424","-1106950656","577021538","-436722560","1473120432","1497366528","4814004384","-1148089680","15442898876","970426368","4243041264","7464822720","2774640732","394383360","-4399834896","4833909904","-1648512216","1228171392","-2943756360","3654588672","-7828019704","3012427776","12257292096","6612531840","-534537216","-4069094400","13990929950","-12825513680","7496520192","264388608","8175205494","-9551738112","-13378266080","-9505574400","149630328","6423488832","20640497520","-704643072","-16505418802","1304916480","-17532083772","-11709493888","3899522622","-477983232","1337737940","2050284544","5130118560","244899120","2433244440","2726148096","-6837687360","-1796035584","-6432501600","-1995337728","-2404336464","6474644064","23569324106","-11240327424","6072011568","-4889046528","7934570520","845945856","-5800783832","18128110048","4865005152","3056356352","-7407928542","1397679360","-3613295328","-2390130688","-1809672678","-5029912080","7205156028","3312863232","-1908264960","2066697920","-16213101408","-10041805824","3385184190","-2119068864","10749439358","2178201600","-7980199248","-6580703808","4661883216","845193216","1013030656","-1141829072","-3455859240","1563356160","-12750560532","1641005856","-24431761072","-813056000","-11966116932","6799084800","-4179188994","-1237082112","-1828560658","2244782592","1893278688","-3692560384","2393333559","-14215195680","-1460221344","-1792885248","-2010430800","-21680869680","1800885564","898007040","-13806533909","3424832080","-2849791644","-4005782656","9768015288","-2488783104","2453594300","-6589636608","18003342084","2866873064","9623394816","-4705505280","634499360","-1910807680","-218430432","2598626304","-15874647474","-18486691776","-22467188248","650870784","8264617200","-14592579648","-35521997424","3592028160","-3851400960","15112038160","-1013777898","680780800","33153846768","1419586560","17360487904","11809779712","-1693887426","2621853696","6308516160","4958386944","-16695942520","22759907392","14215679604","-1151926272","-2129454702","1648491912","18858456632","4429089152","4431127680","14010681600","6399617112","-4528656384","-16488119360","2464235136","14369935734","19491361280","5274690432","20532562848","-10274730336","-1216348160","27034301952","-10338862992","1076191200","1974658752","7904024574","-10601508960","3440801280","-7004310528","-7853278176","2494507008","16828141214","9242537088","8296257546","4705850880","-19007654772","-1233813504","-15222431952","-23816223152","-1245319488","18366885248","11176468920","-4308504480","28160446376","1684537344","33069371496","-9581216880","-24658388160","-6089610240","-15361082836","24589281664","671724000","-1922826240","-21556425906","443681280","-3493789596","14902260864","-34789987512","23591914656","1381692816","3050689536","-35347836298","5718632960","-16289814828","3388981248","17645124900","11220236832","15503281920","-6001950720","-4577731200","-4413717504","29811441642","22815550464","25983570868","-4185062816","3202857000","1458964480","-44116159662","5444172432","-10693771200","-11756167680","-9626571360","-4457684544","2832688680","-792723456","-27176258511","-23731642048","-2146911966","17424321920","-13173180624","8905236480","11413970888","-2165931520","1479913512","2306570112","-33724434048","-5454304128","-24538135400","26902539328","-43152770892","1686781952","22231322826","-21755455008","-16710594516","-2244754944","-9756907848","-35682558624","59428324320","-7295662080","-12645368352","2306358720","17915708160","-6465586688","6454468608","951689088","-1645422064","-600965120","26995654896","-8122598400","3438400896","-10475652096","45613419596","-7967285456","23085533520","-5568897024"],"space":"34.8.a","level":34,"weight":8,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,-1],[17,1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/34.8.a.c"}