{"label":"18.12.a.e","letter":"e","dim":1,"charpoly":["38278","1"],"traces":["1","32","0","1024","11730","0","-50008","32768","0","375360","531420","0","1332566","-1600256","0","1048576","5109678","0","2901404","12011520","0","17005440","-30597000","0","88764775","42642112","0","-51208192","77006634","0","-239418352","33554432","0","163509696","-586593840","0","-785041666","92844928","0","384368640","-411252954","0","351233348","544174080","0","-979104000","-95821680","0","523473321","2840472800","0","1364547584","1465857378","0","6233556600","-1638662144","0","2464212288","-5621152020","0","-10473587770","-7661387264","0","1073741824","15630999180","0","4515307532","5232310272","0","-18771002880","8509579560","0","2012496986","-25121333312","0","2971037696","-26575251360","0","-22238409568","12299796480","0","-13160094528","-6328647516","0","59936522940","11239467136","0","17413570560","50123706678","0","-66638960528","-31331328000","0","-3066293760","34033468920","0","94805961314","16751146272","0","90895129600","-13795202478","0","65183649128","43665522688","0","46907436096","-93339866916","0","-151369448650","199473811200","0","-52437188608","-237348947346","0","-358902810000","78854793216","0","-179876864640","-255524777424","0","-2904454211","-335154808640","0","-245164392448","468456904500","0","514414073360","34359738368","0","500191973760","-298571769420","0","-145093411232","144489841024","0","167433928704","616116174918","0","-522813911356","-600672092160","0","272306545920","708152223720","0","903287816820","64399903552","0","-803882665984","1270146260514","0","1253711469848","95073206272","0","-850408043520","-2808377268960","0","606707569574","-711629106176","0","393593487360","1530094776000","0","-1584008507572","-421123024896","0","-202516720512","-2952724162200","0","-16428249681","1917968734080","0","359662948352","2654101539546","0","-4438948868200","557234257920","0","1603958613696","4064495156964","0","-1680732212146","-2132446736896","0","-1002602496000","-9208538742180","0","2715385082760","-98121400320","0","1089071005440","-409135210176","0","4719056206274","3033790762048","0","536036680704","3608988480882","0","1721399536712","2908644147200","0","-441446479296","-3850947753072","0","-4823997150420","2085876772096","0","1397296726016","1541864113680","0","1703445809660","1501037955072","0","-2986875741312","4119967172040","0","11972832946816","-4843822356800","0","6383161958400","6808983173748","0","-14625286013200","-1677990035456","0","-7595166315072","-3364566476556","0","1899203532830","-11484889920000","0","2523353382912","-1519014596346","0","-1123988306400","-5756059668480","0","-8176792877568","-8314965823056","0","-13012622473198","-92942534752","0","-10724953876480","6140342055330","0","3866312322664","-7845260558336","0","14990620944000","18713802990924","0","-16259857740000","16461250347520","0","1099511627776","5484268053246","0","39258363633328","16006143160320","0","-9554296621440","-19594148973240","0","17194507043940","-4642989159424","0","4623674912768","-35702898898086","0","36038674743104","5357885718528","0","19715717597376","47171376730500","0","-40730388976786","-16730045163392","0","-19221506949120","-4088261050698","0","-13355500432204","8713809469440","0","22660871159040","20565937723632","0","-8163087043949","28905210138240","0","2060796913664","-21943343955822","0","-65936113194600","-25724245311488","0","40644680336448","-40772521902000","0","-17564477266784","40118767035136","0","3042342600704","-122855184542100","0","252176931740","-27213057392640","0","-89868072606720","49575205201080","0","32431810241066","19414642226368","0","-22772131397632","95642176049034","0","40922865440280","12594991595520","0","48963032832000","14825240187912","0","118284921162650","-50688272242304","0","-13475936796672","4791850573440","0","-121579047495868","-6480535056384","0","-94487173190400","52964557350360","0","-83809620132238","-525703989792","0","61374999490560","-127231700619840","0","72704301927376","11509214347264","0","84931249265472","77945675395116","0","112178870095910","-142046363782400","0","17831496253440","159720754812702","0","99817368238800","51326675638272","0","130063845022848","2463779994696","0","-108072113727003","-53783430788672","0","-68238295580672","23606589645780","0","134080304339264","-32083279872000","0","-294673239749760","-73304595759024","0","-125684353520722","86892322648320","0","-3139884810240","102616422242844","0","56230100344244","34850272174080","0","-13092326725632","-107825843218560","0","-311727698452800","151009798600768","0","97081304385536","-237628966425006","0","-156340817766000","17153173782528","0","115487631388224","-260856544232640","0","285969574353206","55084785174784","0","93076612710400","93170655151086","0","-319040755651232","-14126287337472","0","-123230328098304","-417186842145720","0","256949937683594","-154367908813440","0","66748056707072","281102570216160","0","-74235035362680","44713495232512","0","49339651637760","296091363538740","0","-340485060693730","54510265909120","0","48033214562304","453559417992450","0","523763177202160","-95580023721984","0","131838949505280","-137788674940080","0","352376754089618","383130654298112","0","-155002315417600","-88774258188000","0","-429184982726248","204261182668800","0","217887461559936","361081178389644","0","587951079332940","-468009152422400","0","-53695681134592","6276881514654","0","-218548044814680","-243045322082304","0","-107666127249792","-781675006993440","0","460906541857562","60774513050560","0","-367516477440000","-797398572217350","0","-580897190893312","80747308253184","0","-48608467083072","822532069976292","0","-225801499060256","-35967625804800","0","-184193909391360","186652425794160","0","257542473244100","-261657372082176","0","-266078906337792","488234955785856","0","-1046119832694956","-416403919142336","0","-2974161112064","1112073926213220","0","-29728121429176","-343198524047360","0","196490945770560","-816135007924644","0","393479103603852","123721994325248","0","-251048337866752","-425547054636480","0","609916588495964","479699870208000","0","598841695709568","-240472414055592","0","-161817725066940","-520315447680000","0","526760011120640","156719890564554","0","-100640949275888","35184372088832","0","175496577703872","764604204271440","0","-50921557185600","1256267636266496","0","512196581130240","100578608126982","0","1224425212010660","-305737491886080","0","-627012767143680","-1223350686010656","0","-16633348913927","550224225406080","0","-148575653101568","-548021703899964","0","-1094876638924680","147957597208576","0","-1142492764738752","278184192245820","0","-362345490584890","1153237591779328","0","171452342992896","-1775563632664500","0","1326304085946764","630902963116032","0","1509484055376000","223427355914136","0","1112098385676544","-1303372447257152","0","-535361445228544","2244739616558874","0","468041617610968","-615088222371840","0","-130824353622336","1101778600026756","0","-2784103152368580","-427376013830528","0","278841903022080","-1691074659274122","0","-2365746586247980","725147877089280","0","658110007156224","-2715935820675000","0","-325901835908926","-261218785406368","0","924966724423680","316483004980128","0","778985927816760","65945501237248","0","-702187006586304","2766839563505724","0","-694649364166208","-2109955622227200","0","-823175849967616","-1959660392281650","0","-2997305639183520","1300629770766336","0","-1304720700864000","3373926699822456","0","3135854548398218","-562063272537088","0","1283800545124352","-34069247895030","0","3675681128418992","97354963222528","0","-3931365905347200","-127688712830880","0","-978885934529794","8069661815680","0","-870817836564480","1462553585594310","0","4301011527851876","-2875778323415040","0","1586406566434560","-2506586323553424","0","1160781960488125","1037817927714112","0","621268551243776","-4011310129843548","0","-595346430921928","-728708204724224","0","3060549633569088","6034077080512800","0","697562749471686","1309531694088960","0","403039731056640","751261899449310","0","1461443871913388","1566817050624000","0","474407686013184","3578616021301992","0","-2987192606468400","3785117477204800","0","-1622024711753728","-731395394414214","0","-3502246855296600","-431229977493504","0","153339218350080","1699870896228228","0","-178604343718066","-3890529519867776","0","-207377121804288","-1701945713751360","0","-2356171980498000","-3023589542092800","0","1694865835211520","-5565874012733400","0","-926675672044702","-2681907844231616","0","-16822527673344","149664405584562","0","-4741056513390512","1963999983697920","0","-4071414419834880","-6748556779434564","0","7227042731788140","2326537661676032","0","368294859112448","1953351702771948","0","-1612717768694596","2717799976495104","0","2494261612643712","-6132607180205880","0","-2101370171488812","3589723843069120","0","-4545483641036800","-416261248516854","0","-2277723029899064","570607880110080","0","5111064154006464","689870485519824","0","-2829722232869698","3194155783641600","0","1642453620424704","7325483316144000","0","8306625584235600","4162043040731136","0","78840959830272","-6811222080684240","0","-3259703925593024","-3458307639264096","0","-1721069785237504","6835476540517350","0","2731911221435864","-2183625458581504","0","755410868664960","1794689311141944","0","-6583680329025466","4290569738856448","0","-1026664955904000","2399524728655440","0","4375643459996972","-9429543671992320","0","-2345747064288768","-4900592000047128","0","14898815635829220","-4021899312663104","0","2780554324746240","4667740064735328","0","-704936008362880","-100476313927680","0","3283725511771008","14706035541317040","0","5255155388235854","1799363211015808","0","1115208709570560","-3813359614118538","0","7569683388089200","-418954455220224","0","-3450426982993920","-7490556062683320","0","-9812412425812222","-9975286350489600","0","4832313555224576","-7091357397610446","0","-21251916146150800","3106601740337152","0","-7604126925600192","-1193210965747416","0","4522160769775200","-5002906168512000","0","548901561040896","7116679791103020","0","-2463997954517668","3695604204423168","0","-8347409415444480","11869346158878768","0","-13956746960317820","9151026379302592","0","1762713125593088","-3049360148357430","0","-489617930219040","2978451606732800","0","2981460964834752","1069481148300120","0","17948011722480000","-10209304180839424","0","-452041194799104","3922651912372326","0","17501217622441796","-3943370499145728","0","-13349978948663040","-18580419793819560","0","1019069840820592","8222398005875008","0","-4939773082030080","-4481484718794078","0","-2388191905157320","2135937814626304","0","8995282246917120","-3422454871430484","0","7188806436234662","-2375521131605760","0","1430831847440384","2674780111900638","0","-34635454422606000","1578868852408320","0","9474923633239680","-12510074262400536","0","-6270488085695873","-10895521942199360","0","1744328509091840","-192703368758130","0","145245946183688","1537062865993728","0","14513901375758400","24019919854602000","0","5885164723051022","16760421670469120","0","-3058560759103488","-2579952118898154","0","-3148742293288876","4218846384168960","0","-4409237598082560","22853895216247008","0","31132611058874580","11276056130867776","0","12260180937539584","-11817935612626560","0","6016945296687112","-4960074093363200","0","-2840776262016000","-23426592880236000","0","-18369539762727466","-13733919447239936","0","6536357845401600","11750671469714094","0","-7767911723841412","6972398769917952","0","11554597708468608","-4627495534783560","0","-25724818980586880","18814434538654080","0","-14976292877516800","-278017405638720","0","47676528191187720","-1718261796306944","0","200860208468928","-18436801405347168","0","7490059195504284","-6993537434069760","0","-7777450306633728","-19714988848472580","0","19251116224247588","-3445316071993344","0","-25013600223790080","18009829098648528","0","-3363169862952720","14749009339441984","0","1944784417617920","14930977045155360","0","-5428822550168104","-11760527278080000","0","-25516754310955200","11339576395950960","0","-69684046848115150","-18588710108585984","0","2583913864101888","-27631021175735106","0","1518807587442684","-1555470946658304","0","26321026239241344","31851467020774800","0","-24605982978712198","-7225647969928192","0","-1150964025753600","-31189203822657318","0","12583106633538000","-5894205100523520","0","5972877625413120","31718935020484068","0","2681785058646076","8241359143811200","0","-8373035906629632","-9409924474322058","0","-4799156015364480","-8514525002809344","0","15623518585147392","-30810737675299344","0","31912670377991073","-33475834646238592","0","-13324925412554752","55354529299594020","0","-12773086132968568","-95173155586048","0","35586365638823040","-35110502073813924","0","26144878079090848","-951299885733632","0","-10982352769515520","50866832186427054","0","26636740202822760","6287710264657920","0","-26116320253588608","42567618865546392","0","42333434880745860","12591331315323264","0","3959103818407936","-10746686748756000","0","22412352862092944","-8033546811736064","0","-13617505748367360","20192016565631760","0","-20326767928668418","19517330831870848","0","15350395846656000"],"space":"18.12.a","level":18,"weight":12,"T":[[5,1],[7,1]],"status":"proven","derived":{"al":[[2,-1],[3,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/18.12.a.e"}