{"label":"30.10.a.b","letter":"b","dim":1,"charpoly":["90916","1"],"traces":["1","-16","-81","256","625","1296","-7168","-4096","6561","-10000","-83748","-20736","128126","114688","-50625","65536","560802","-104976","-577660","160000","580608","1339968","2431296","331776","390625","-2050016","-531441","-1835008","5791710","810000","4145312","-1048576","6783588","-8972832","-4480000","1679616","-7011658","9242560","-10378206","-2560000","-8881398","-9289728","-15730684","-21439488","4100625","-38900736","60552072","-5308416","11026617","-6250000","-45424962","32800256","30273366","8503056","-52342500","29360128","46790460","-92667360","45957660","-12960000","37595102","-66324992","-47029248","16777216","80078750","-108537408","196784012","143565312","-196934976","71680000","56047992","-26873856","-159688054","112186528","-31640625","-147880960","600305664","166051296","201923360","40960000","43046721","142102368","-362955444","148635648","350501250","251690944","-469128510","343031808","-272479110","-65610000","-918407168","622411776","-335770272","-968833152","-361037500","84934656","-600852478","-176425872","-549470628","100000000","-432498138","726799392","-876502864","-524804096","362880000","-484373856","1481702772","-136048896","-1789041490","837480000","567944298","-469762048","-980881374","-748647360","1519560000","1482677760","840634686","-735322560","-4019828736","207360000","4655779813","-601521632","719393238","1061199872","244140625","752467968","5476300472","-268435456","1274185404","-1281260000","2389500372","1736598528","4140666880","-3148544192","-332150625","-2297044992","-176190438","3150959616","144280700","-1146880000","-4904717832","-896767872","-10730296248","429981696","3619818750","2555008864","-893155977","-1794984448","5512626870","506250000","-2305323688","2366095360","3679421922","-9604890624","2590820000","-2656820736","13515776462","-3230773760","-2452142646","-655360000","-17427529728","-688747536","-3820370884","-2273637888","4239742500","5807287104","-1811015808","-2378170368","5811772503","-5608020000","-3790027260","-4027055104","-719388594","7506056160","-2800000000","-5488508928","-3722570460","4359665760","178725300","1049760000","320937302","14694514688","-3045203262","-9958588416","-4382286250","5372324352","-46966045896","15501330432","3809369088","5776600000","15692086992","-1358954496","12895904066","9613639648","-6486378750","2822813952","31593143142","8791530048","27985266200","-1600000000","-15939504972","6919970208","-41514977280","-11628790272","-5550873750","14024045824","15951733056","8396865536","48377869680","-5806080000","-38042339308","7749981696","-4539887352","-23707244352","-9831677500","2176782336","-29713596416","28624663840","12934732374","-13399680000","71853317052","-9087108768","31578230216","7516192768","2562890625","15694101984","-62589833748","11978357760","-24884851930","-24312960000","-48624758784","-23722844160","15943239066","-13450154976","37845045000","11765160960","-16355792160","64317259776","49633571760","-3317760000","96246100082","-74492477008","-3486784401","9624346112","6891635625","-11510291808","-74013265160","-16979197952","29399390964","-3906250000","-48837087828","-12039487488","-203616177408","-87620807552","-28390601250","4294967296","179143602","-20386966464","50259564544","20500160000","37999409310","-38232005952","57377611536","-27785576448","18920853750","-66250670080","22070807910","50376707072","-20041281810","5314410000","61518712112","36752719872","74390980608","2819047008","-32714062500","-50415353856","-82900470778","-2308491200","27197392032","18350080000","-199491305478","78475485312","64743554036","14348285952","29244037500","171684739968","63661860864","-6879707136","195911006707","-57917100000","48669050718","-40880141824","-2219834394","14290495632","28723537500","28719751168","44507120868","-88202029920","311512231296","-8100000000","112757542912","36885179008","35032349178","-37857525760","23496938750","-58870750752","-23670097828","153678249984","70996731984","-41453120000","-160673054808","42509131776","-203532311014","-216252423392","-29393280000","51692380160","198618675102","39234282336","-485044129080","10485760000","-120017924532","278840475648","-323952883320","11019960576","50049218750","61125934144","144912360690","36378206208","-434037252096","-67835880000","78848196812","-92916593664","-46003488138","28976252928","122990007500","38050725888","-155474012878","-92988360048","79451391294","89728320000","-347161589376","60640436160","210215864320","64432881664","-123084360000","11510217504","105926106852","-120096898560","-373230322210","44800000000","-68091409566","87816142848","441394947186","59561127360","35029995000","-69754652160","325606127616","-2859604800","-244730648280","-16796160000","11003377821","-5134996832","-377118164853","-235112235008","-99805033750","48723252192","1491877352","159337414656","-58270852278","70116580000","-216999487488","-85957189632","-261040863514","751456734336","-19775390625","-248021286912","742068635460","-60949905408","433534509740","-92425600000","-443580338232","-251073391872","515844836136","21743271936","375191040000","-206334465056","-103209017724","-153818234368","-165641875290","103782060000","1363475659392","-45165023232","-193549530132","-505490290272","126202100000","-140664480768","-458101751938","-447764259200","-335394017280","25600000000","359780782482","255032079552","531122245312","-110719523328","26904200625","664239636480","587212334184","186060644352","-708479186470","88813980000","14271425478","-224384733184","-329424506880","-255227728896","-226847152500","-134349848576","-11686736700","-774045914880","783197883300","92897280000","387008898182","608677428928","397282144392","-123999707136","219063281250","72638197632","-269481691136","379315909632","869153996088","157306840000","-64513528128","-34828517376","-300404751694","475417542656","-293205318750","-457994621440","-1404462447360","-206955717984","523612529480","214394880000","72345634137","-1149653072832","-431162205324","145393740288","-170299443750","-505251683456","-446522776470","-120259084288","-929626898430","-41006250000","743799319704","-251105631744","186731218728","1001437339968","-574004480000","-191653724160","187400205002","398157630880","-298033175682","389007360000","1251563499342","777996140544","-1032077390824","379565506560","-209856420000","-255091825056","-41357609508","215202479616","-1410547798016","-605520720000","-1094777893422","-188242575360","1317413323632","261692674560","-225648437500","-1029076156416","198623554326","-794137148160","-1448323983360","53084160000","-898375692908","-1539937601312","1411629907968","1191879632128","-375532798750","55788550416","870547174112","-153989537792","309450041604","-110266170000","-2415562212228","184164668928","3248002551420","1184212242560","-343419142500","271667167232","-401752006656","-470390255424","1139695688900","62500000000","146692280448","781393405248","-1921394745504","192631799808","-270311336250","3257858838528","-470753572743","1401932920832","264604676670","454249620000","1144643971072","-68719476736","306992208060","-2866297632","-547814290000","326191463424","-5071114925856","-804153032704","58270476114","-328002560000","1982274807882","-607990548960","2955875361476","611712095232","226800000000","-918041784576","2324699260224","444569223168","4110047578153","-302733660000","301528207260","1060010721280","-1137938000148","-353132926560","926064232500","-806027313152","-14476749300","320660508960","-923457120516","-85030560000","-1114331445058","-984299393792","-25995921462","-588043517952","-1118150931250","-1190255689728","-557204933908","-45104752128","246661464222","523425000000","-3345639198600","806645661696","-1447386644480","1326407532448","354965186250","36935859200","4043217469902","-435158272512","-2015509618184","-293601280000","3804249717576","3191860887648","1131406337676","-1255607764992","-613050858750","-1035896864576","-308558896128","-229572575232","1847992405050","-467904600000","-4055469816388","-2746955839488","-1271059046352","-1018589773824","949725000000","110075314176","1041473533442","-3134576107312","-1044568229346","926673600000","2601664622592","-778704811488","-2535333855768","654082269184","525396678750","35517350304","-4348620214668","-228647930112","-2394580929920","-459576600000","-2559044594502","-459516018688","-143368095294","-712113933888","-2512392960000","1411232478720","-2266806562200","-4984195700736","-334258067400","129600000000","1277758186202","-1804120686592","1291099902732","-590162864128","2909862383125","-560517586848","172744904312","605720412160","3362713159680","-375951020000","7758294777072","941932012032","384405093206","378721565248","449620773750","-2458851999744","5886183515802","-1135947711744","1612070279420","663249920000","-1292090377536","2570768876928","1953130260480","-680146108416","152587890625","3256516976224","-3918607444080","3460038774272","-3932151829716","470292480000","-2778242887528","-827078082560","3081429483948","-3177898801632","3422687795000","-627748517376","1412796329742","7760706065280","367730875512","-167772160000","2392228458402","1920286792512","-416259435364","-4461447610368","796365877500","5183246133120","5924099774112","-176319369216","-3848862109680","-800787500000","2406801309696","-978014946304","-7000118365554","-2318597771040","1493437732500","-582051299328","-1047713322294","6944596033536","-6283274899980","1085374080000","-5855299927498","-1261571148992","-5820118681212","1486665498624","2587916800000","736055810208","14081361356160","-463620046848","-2557836647496","-1967840120000","-3148514602296","-608811614208","-6754191244894","2487584206048","-207594140625","1487813760768","-2098792898778","-1271222260704","4306910562304","-1435653120000","5069776533588","5554585430016","-8159786537244","-970246978560","-110119023750","-3363453829120","2015673006330","-1030926106624","3878805292116","1969349760000","-4110140178988","-184163480064","3938605461504","-1694817709632","90175437500","1921550376960","-4980705761196","5971685155360","-1291402364346","-716800000000","-8597859234978","1089462553056","4050354360280","-1405058285568","-3065448645000","-7062319154976","3100146653184","-952978037760","4301821107590","-560479920000","1324819164960","1116074434560","10078480484352","-5209698041856","-6706435155000","45753676800","-4020319312560","3915690372480","-3627712702320","268738560000","6282772529152","-176054045136","-7795934106642","82159949312","2262386718750","6033890637648","12393832857392","3761795760128","282429536481","1596880540000","-8821799048568","-779572035072","-9627576195634","-23870037632","-558222485625","-2549398634496","-16480267436976","932333636448","11191530251540","-1121865280000","5995074477960","3471991799808","-12459956570064","1375315034112","3445391793750","4176653816224","-2381350668084","-12023307749376","-10620845469696","316406250000","-13585987307728","3968340590592","3955804114068","-11873098167360","-1440827305000","975198486528","-10876308017818","-6936552155840","16492910370048","1478809600000","6270033524922","7097285411712","12823849400320","4017174269952","2299638701250","-8253517378176","5888371145160","-347892350976","3679143389570","-6003056640000","-14510631762","3301351440896","-4912022460954","1651344283584","1619262500000","2461091749888","-4071024728064","2650270004640","5130428368680","-1660512960000","-4693907234016","-21815610550272","-3077952154110","722640371712","8447360288750","3096792482112","7132119006812","8087844644352","-4647586534416","-2019233600000","7030957688832","2250631692288","4816910038852","7329628031008","-1532589153750","7164228147200","-3631731999138","5366304276480","33957723081744","-409600000000","-1787735440710","-5756492519712","13373555146392","-4080513272832","-10892206080000","-8497955924992","1623343826610","1771512373248","6069655677450","-430467210000","-12837683488948","-10627834183680","-4983015681072","-9395397346944","-2387731802500","-2976970309632","9086986919440","11335666983520","-6025669429248","-1421023680000","13795058728662","-228342807648","4094244544736","3590155730944","2649839062500","5270792110080","4184588697252","4083643662336","20563771292990","3629554440000","6714938133018","2149597577216","6183748866834","186987787200","-1131884880000","12384734638080","-2202988754592","-12531166132800","-14734823031960","-1486356480000","19036758748231","-6192142370912","16158795743718","-9738838862848","3632357814375","-6356514310272","-33372629699584","1983995314176","-5244227876916","-3505012500000","-17047416048768","-1162211162112","-4749168291514","4311707058176","-2368767037500","-6069054554112","-5471766136758","-13906463937408","-15028154146900","-2516909440000","-5156610729984","1032216450048","26386994644296","557256278016","-449617871250","4806476027104","-15868791543267","-7606680682496","-16910677553280","4691285100000","25213148321512","7327913943040","-3942193108158","22471399157760","-1750000000000","3311291487744","-29006282523298","-8377800471680","179806585914","-3430318080000","-19997944442478","-1157530146192","-6772034722324","18394449165312","-2326606537500","6898595285184","24963287491632","-2326299844608","-39254121783296","2724791100000","-3605076790308","8084026935296","-34978509911520","7144364423520","111703312500","1924145348608","-25232490734976","14874030374880","24008444963520","656100000000","16977364199532","-11900789115264","-9133360975872","4017690107904","200585813750","-2987699499648","-16916190994828","-16022997439488","-2837620283418","9184071680000","11088713470752","3066459586560","30396792524112","-2998403280032","-1903252038750","-6370522094080","-17127938666496","4768530810912","-25116512837560","-6224117760000","1917277924068","-20025015989472","7181205022992","-12447938248704","-2738928906250","16513238253184","-5750735290704","-6073048104960","27647474554530","3357702720000","-6369635576220","4081469200896","13014517439448","661721752128","-29353778685000","-3443239673856","43509580350602","22568764768256","16486117192134","9688331520000","28208741361582","17516446294752","-21593307431808","3011881205760","2380855680000","-21078613178112","31852231735452","-4187082792960","-20460191606804","3610375000000","-16088112683262","16465218502656","-26981303680374","-3177976869216","9807554370000","12706194370560","39288574455480","23173183733760","1262933059584","-849346560000","-9256010583327","14374011086528","9721451887092","24639001620992","8059940041250","-22586078527488","4226939376992","-19070074114048","26240183548920","6008524780000","-39294450379428","-892616806656","-1034204057600","-13928754785792","-4053986718750","2463832604672","54679188472482","-4951200665664","22819580504280","1764258720000","-11737901215890","38648995395648","1735730166336","-2946634702848","19745714463750","-51968040822720","35157017419776","-18947395880960","-38245949086464","5494706280000","-38194822271488","-4346674675712","-6386703941772","6428032106496","17490791375000","7526244086784","-46686982895818","-18235131022400","3726282539178","-1000000000000"],"space":"30.10.a","level":30,"weight":10,"T":[[7,1],[11,1]],"status":"proven","derived":{"al":[[2,1],[3,1],[5,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/30.10.a.b"}