{"label":"45.8.a.f","letter":"f","dim":1,"charpoly":["1630","1"],"traces":["1","14","0","68","-125","0","-1644","-840","0","-1750","-172","0","3862","-23016","0","-20464","12254","0","-25940","-8500","0","-2408","-12972","0","15625","54068","0","-111792","81610","0","-156888","-178976","0","171556","205500","0","110126","-363160","0","105000","-467882","0","-499208","-11696","0","-181608","396884","0","1879193","218750","0","262616","1280498","0","21500","1380960","0","1142540","1337420","0","-923978","-2196432","0","113728","-482750","0","-797304","833272","0","2877000","-5103392","0","-4267478","1541764","0","-1763920","282768","0","-960","2558000","0","-6550348","-6140832","0","-1531750","-6988912","0","144480","-2010570","0","-6349128","-882096","0","5556376","3242500","0","-4881934","26308702","0","1062500","-9726702","0","16315052","-3244080","0","17926972","4089744","0","-26831770","301000","0","33642816","17481038","0","1621500","5549480","0","18723880","-20145576","0","-19457587","-12935692","0","-10668384","-1953125","0","-12501764","24501120","0","-6758500","7756188","0","42645360","-11162256","0","-10293360","-36172026","0","10909220","13974000","0","-71447488","-664264","0","-10201250","-59744692","0","7488568","36458050","0","7189552","21789600","0","3958752","19611000","0","87993206","-13440","0","22372000","21325968","0","-54887488","-31815976","0","-85971648","-8614596","0","-47833473","-21444500","0","-33946144","51252378","0","-25687500","3519808","0","-28147980","50162660","0","69081662","-88887792","0","10896480","-13765750","0","-2107688","26988112","0","45395000","-154745432","0","-15940558","-68347076","0","127785124","168188034","0","177772600","-13125000","0","-136173828","-134166840","0","58485250","228410728","0","-79031968","4461680","0","-161996428","87073864","0","57256416","62401000","0","257923872","-375644780","0","1462000","47324948","0","17593172","294236544","0","244734532","203035864","0","159558990","22701000","0","-68552400","19498518","0","-49610500","90944560","0","-282038064","160220480","0","-378778718","-272406218","0","-62830504","-234899125","0","-100180280","131785920","0","-27343750","-161304252","0","2231184","-175024696","0","328458496","-227387106","0","-181047144","-32827000","0","108586632","-457727612","0","-160062250","597035040","0","-54216672","-467286310","0","-44593208","-250765856","0","-506408364","-2687500","0","316657086","152729080","0","-172620000","225817638","0","20821032","-347030656","0","-9299696","769198008","0","-260178157","-142817500","0","-290188504","178825458","0","-167177500","-92505840","0","510412700","-50097864","0","820697952","100653728","0","530836160","115497250","0","-85515944","19228224","0","274554000","484705728","0","570821162","1231904884","0","-65280","550190554","0","-14036920","-14216000","0","298563552","-317868760","0","60343750","-768424832","0","393020880","-652477296","0","-939838788","-417576576","0","-120604344","99663000","0","533631826","-669668622","0","-104159000","26984736","0","-1735488600","419334720","0","717533292","-1079338816","0","-427217450","-359625000","0","30783872","1489659198","0","637924000","-136718760","0","702277240","-841275480","0","-220988139","967143268","0","-431740704","533434750","0","-750461604","265459008","0","-192720500","-2105138712","0","171073822","-29507632","0","-333382560","315177820","0","46623940","220490000","0","-2166436048","442265868","0","-35346000","-223167812","0","-331971512","464032530","0","-158958888","-1578522120","0","2354632476","120000","0","-317792234","2488816400","0","-319750000","1195629198","0","-605901456","-661415736","0","-1878335760","-18941672","0","2213047130","818793500","0","1109423536","-2198718480","0","767604000","-691205312","0","62463520","802298740","0","34471342","-2267949992","0","-1075618320","191468750","0","1519019832","278102592","0","873614000","-1726923912","0","488307682","3610934208","0","-1824560360","336493680","0","-2886397880","-18060000","0","662549272","-926583192","0","251321250","246304408","0","-186968832","-1355352850","0","80475704","1188710584","0","2842502096","793641000","0","46342906","2233825860","0","110262000","152117178","0","1634503812","-1670067040","0","272979252","1113803704","0","1310767776","-694547000","0","-1123432800","85863776","0","-405312500","-1369899168","0","2243086720","-1277448240","0","425306612","-5302902052","0","-1323115916","610241750","0","979672676","776141520","0","-3288587750","4921252468","0","1000048940","-1402523920","0","3210556032","8389976448","0","-3657864500","-132812500","0","-2258259528","3883580548","0","1215837750","31236576","0","-850119952","-3900717430","0","7015733832","1462275584","0","-3183419484","-2039381500","0","-68264048","-2534660016","0","405510000","-2883986042","0","877188472","527420784","0","-6408186568","-1922505552","0","-3236552663","-2240871500","0","2899884480","-1806960284","0","-511218000","669735360","0","-6542008340","-323221196","0","-653484618","-624304912","0","-2193171904","3353971250","0","-4592987384","-2459697768","0","-37625000","-2116963400","0","1578240","4433199204","0","741826960","-6831640806","0","-1927941296","-4205352000","0","3161446932","-3425094912","0","-2185129750","291494448","0","4286849280","7509302790","0","-135841108","-45169952","0","10768772112","-202687500","0","1637750786","-3642494198","0","-693685000","10095527808","0","-220245656","3584681520","0","2503556412","5972051424","0","4069674720","-2340485000","0","-2253618464","-8313465842","0","2518197000","2479147400","0","-701370096","-9783675800","0","5401594202","11489771328","0","488889536","2432198375","0","-2844394244","4642637440","0","1616961500","1532766008","0","-7021057538","-1197223216","0","-237525120","-3351655146","0","-3923624140","1333548000","0","6785880192","3305377080","0","244140625","7991496268","0","5983538008","1349484004","0","-681544688","806400","0","7702667756","1562720500","0","7257443366","-196516880","0","-3062640000","-9651992082","0","-5078260608","1450165824","0","-4450162640","2083303484","0","-230036240","844812500","0","-3732349184","-6848810102","0","-969523500","9574737248","0","-9134682144","-6999128380","0","-1995943778","-13157743032","0","5158298880","-5330670000","0","-1058644920","-585792528","0","1395282000","158924216","0","-11793904878","7470845564","0","-3252676164","-7802218686","0","8025899496","1286670000","0","377786304","-4511529432","0","4521503250","-24296840400","0","10215792512","4945283276","0","-10633131068","3485161704","0","-15110743424","-1363652500","0","-5733426028","-5981044300","0","-1746750000","4385141098","0","-2856668440","-19561216","0","20855228772","15990698088","0","-5988049970","8930936000","0","1688878800","2035151136","0","83033000","3411060880","0","-11777856720","11776791840","0","-26821945488","-3093833946","0","4697553016","1275156250","0","8410505636","5333267520","0","7468086500","-6117294832","0","14408392982","-10506462456","0","2321676672","137136288","0","8217083020","-936071000","0","-29471941968","17253067508","0","-4557256250","2395033508","0","-143322784","-6723539136","0","15849821752","-8121834176","0","4412489480","-898694000","0","7138564606","652735160","0","-2723700000","2599929078","0","44111429880","-10522689376","0","6191722152","5165116040","0","-4964772190","-494844000","0","-1083957944","14968115778","0","-2451375000","4100824560","0","6496455420","12136859080","0","877783424","-2225424432","0","-38455805552","-10999150750","0","-9799901624","11436786312","0","1680000","-28738826472","0","-3568403036","-4449091276","0","12088536800","-3931691366","0","4863416536","-2796500000","0","16738808772","734006216","0","-2665746000","-8482620384","0","8170429680","-12632426330","0","11665325772","-9123345120","0","-265183408","6860936000","0","12949455520","30982659820","0","3976997000","8174997858","0","-17521126228","-13704643680","0","-30782058720","-12222545536","0","-10663419210","10746456000","0","439217536","23027631022","0","1076824500","303394240","0","11232182360","2313998680","0","-10589684209","482598788","0","-11015757104","5979184125","0","31988273028","-26204111072","0","2680562500","-1428554472","0","-4223767698","21266277648","0","-3435384960","3521037494","0","24493004980","4243268000","0","-24176934768","5405729788","0","-6406547250","6836307548","0","17538823296","165120","0","-3079188048","22538686800","0","4710911520","3210937500","0","-28915499514","-40409570320","0","-439976000","-780642562","0","-13690694368","3218096464","0","-12972164688","-3584034276","0","20552900016","3518497500","0","1196335696","-10295170960","0","-6270332500","-40279841280","0","-18974939900","-12803629680","0","15691222492","1126659856","0","-14684071920","-8635207750","0","-30110804544","13806438752","0","11110974000","24879995528","0","1056223104","648800684","0","10850011320","-12751173072","0","10842048760","-1362060000","0","2129640492","-19709299904","0","1720718750","22883053368","0","-14606231360","-10704503090","0","-48746266420","1325899224","0","15593251856","263461000","0","34278689226","18350748864","0","-3373514000","3736949818","0","6069365304","-27368962880","0","1202092864","-33214992216","0","-16481000036","-5674375000","0","16922283840","-46989547402","0","19343179000","10894992640","0","-17884275360","59466810744","0","-2898769567","5954292568","0","-25756952824","1992569750","0","-14229376204","16344373080","0","8543384500","-545473692","0","-17934757680","13715417464","0","18908285792","19791579614","0","345818040","-15973140500","0","68897534552","47150273268","0","-21023504250","14000685160","0","-6812259040","6475726176","0","38796825032","28079186688","0","117459670272","-22221575000","0","-56639400834","-51210103000","0","1640625000"],"space":"45.8.a","level":45,"weight":8,"T":[[2,1],[7,1]],"status":"proven","derived":{"al":[[3,null],[5,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/45.8.a.f"}