{"label":"15.12.a.a","letter":"a","dim":1,"charpoly":["-27928","1"],"traces":["1","-56","-243","1088","3125","13608","27984","53760","59049","-175000","-112028","-264384","-1096922","-1567104","-759375","-5238784","-249566","-3306744","-13712420","3400000","-6800112","6273568","41395728","-13063680","9765625","61427632","-14348907","30446592","-4533850","42525000","-265339008","183271424","27222804","13975696","87450000","64245312","-212136946","767895520","266552046","168000000","-1266969958","380806272","14129548","-121886464","184528125","-2318160768","-2657273336","1273024512","-1194222487","-546875000","60644538","-1193451136","2402699278","803538792","-350087500","1504419840","3332118060","253895600","7498737220","-826200000","-4064828858","14858984448","1652427216","465829888","-3427881250","-1524477024","6871514244","-271527808","-10059161904","-4897200000","-13283734648","3174474240","-28875844262","11879668976","-2373046875","-14919112960","-3134991552","-14926914576","27100302240","-16371200000","3486784401","70950317648","-34365255132","-7398521856","-779893750","-791254688","1101725550","-6022625280","-63500412630","-10333575000","-30696265248","45038552064","64477378944","148807306816","-42851312500","-44534956032","19634495234","66876459272","-6615141372","10625000000","-121293427458","-3396094128","132352900928","-58970526720","-21250350000","-134551159568","19375849404","-15611610816","232687643510","19604900000","51549277878","-146602131456","319484645218","-186598611360","129361650000","-4932828800","-64772147178","-419929284320","-6983854944","-40824000000","-272761397827","227630416048","307873699794","-288688840704","30517578125","-92535924096","-561435481736","-401426350080","-3433480164","191961350000","457850197452","29618410752","-383728361280","-384804797664","-44840334375","-13416668160","-42073719606","563313066624","813652678340","95145600000","645717420648","743889140288","122885977816","-309344956416","-14168281250","1617047278672","290196064341","-230804997248","-156118511890","132890625000","550139058472","-737179699200","-14736622734","175559526912","-829184400000","290008626048","-1874889829546","-1517616925440","-583855924554","572723200000","1158418052352","-195259926456","-2177306962252","-1378463314304","85071262500","1924454287392","-1180135617936","-365574021120","-588922519953","43674050000","-809704688580","15372948224","499181044278","-61696630800","273281250000","586890493952","-1822193144460","3556023107280","3212027565580","200766600000","-2932450524178","1718990853888","987753412494","2225434337280","-662927956250","-3610733220864","27958379848","-2891113389568","-401539813488","2399673500000","2286424007312","-113196662784","5866168055618","-1099531733104","832975143750","-1299314065856","541588187454","370447916832","-6120340986680","525000000000","-1669777961292","6792431937648","-126875258400","65981257344","-3959281118750","-7411762451968","2444376342672","5746537422848","1536174987760","1190019600000","1920540125612","2614136814464","3227947519464","-1085047566624","44154837500","-771397240320","-7425246799872","-13030508036560","7016830155666","-380895200000","273754435852","-2886759561168","8972141608328","5128667529216","576650390625","-17891140132208","10822290696164","3625344449280","-8418977378850","-7244252400000","761802947136","-243739776000","-16929734493942","3627240241968","-8303979175000","8158626095360","-6585373444320","391095876864","6998345975440","3978201600000","-9061645939118","15274638278312","-847288609443","-4422533797504","-3731945271875","-17240927188464","15041455171240","-14264625070080","8350756997076","-1708984375000","25929062159892","1797840811008","-4637480616384","31440386977216","189514181250","21525855993856","8775821425554","192274889184","-5936440296864","-3729534800000","-267719308650","-25639611057312","8381568574208","1463497943040","7508435243750","21488788231680","15430600269090","7476207497472","-32250024017450","2511058725000","-2891990976848","1307422367744","7459192455264","2356128297936","-1094023437500","-10944368151552","9739682305854","-45564549987040","-15668003083392","4701312000000","-9369304152918","-36160175556288","47090172181788","-14452703297024","10412868937500","-6881614757696","-35454887304672","10821994315776","-34209613119277","793423750000","-4771182341862","-31416918557056","-11185125192642","-16250979603096","23433553812500","-11404482216960","1607479353396","8742636665840","-45407884749216","-2581875000000","395401271232","-30807787274432","29474302872294","71836406497280","-12702590181250","825250873104","48576724547764","-3410870808576","-32161754925504","46434326400000","51804972303192","14329837992960","24567309993098","104993830454576","5163835050000","29485128837120","-17494183406746","32695931775024","507918147800","1455718400000","-4708331405172","-64871410931712","3422153809720","3793621428288","-10712128906250","121929189886112","-56543097372930","-68112304942080","-74361137034624","-4763990700000","-68445293034348","-37389397583616","-12526474524354","66087594604416","21473482012500","35624317943808","-76993860289646","32979661117368","-77634768787974","-848524400000","29725398388224","45343462560480","-88752633652320","759604500480","-31434880950000","-27954138479568","129518792018764","1198677398400","36476284371910","-15303750000000","15739631764254","-20531531087872","103350644950098","102042816089760","-41511670775000","-69088448941440","1697076751392","-179873543672480","-152981747691720","9920232000000","71540203358181","164217229353968","66281019671961","-33397536589824","-90237013318750","-55314191099664","149106017114184","-216863277514752","-74813309049942","37123965550000","67237136595552","70151388291072","-56118546889442","-1565669271488","-7415771484375","-142855014543360","4973279809700","22486229555328","75741683256340","-46622228000000","136428822061848","-128039744409472","20207144566728","97546603069440","-9796848600000","-328505411114608","834335679852","21362330814592","196148007831870","-46646608050000","-10330966254048","-64201400901120","-111257597980836","-30328938497424","84688444500000","-7197273812736","312645303386854","342739095254080","93245991791040","-51160000000000","-129291609660558","93507565832352","291056195333376","-131967249074304","10896201253125","7105014470400","23765277786488","3260250362880","170213011057610","221719742650000","10223913864258","143999956209664","209844662364480","-136885075189632","-107391422287500","-201034456956928","-197717600836620","-86025799314560","74740580490140","-23120380800000","-185677464850178","-107550247034272","-156909333217464","129169113185280","-2437167968750","-180765061089984","-113750170762272","21080924151552","-29861292609288","-2472670900000","-342728390297568","75170824409088","477828926865298","415813820792832","3442892343750","253164156138880","-567635608541760","-392942488717296","-550254703091240","-18820704000000","-70517643634863","-15330248407712","26077178942748","56085614331264","-198438789468750","-502439930066368","37936798389270","13035783585792","-154203049709630","-32292421875000","141936110454824","347599293997184","-133683791208696","-606048278985184","-95925828900000","179134666905600","77654252983834","471462733215600","3580999324362","140745475200000","659985887284662","-42660965039616","-296907964521672","23751860838400","201491809200000","948065131660752","-837122616677836","-70472096129664","192292454604096","465022833800000","455598228579678","403132112947200","-1582905003344","368780912881920","-133910351562500","-7598434179072","141876989666622","-391907374624640","121855424718720","-139171737600000","232697683080212","507452172590608","-281495586721536","-296764400835776","61357797606250","47448162128808","94530848390384","-218525199406080","529085591827236","208988935225000","-209823733037308","334966585375872","1131494809100","-842321489589440","-20672316787500","1390053749686272","-371732030389632","-467642391836256","-264935570798180","33203125000000","286772955158448","-1452027480953952","-364546280054032","88834487132160","-379041960806250","259698914517504","143108172348579","-610841804128768","236671059379270","-10612794150000","-808061625827808","-383326770692096","196758239324940","-491445999831024","413602815400000","-3735626418432","297689017285408","332440656624384","-121300993759554","-184282896000000","257733695944922","14992281284400","-1480294352845172","498141014827776","-66407343750000","-469367840155648","66219594870528","-142614390030336","760796538736057","-420472373650000","442792934103780","-417496457072640","1389767220269276","-864113615069040","60549529387500","369412605757440","-780522698435940","1806001344977200","133786356773636","-48786283800000","-1215286563714138","161951494703488","712585477375254","-45738316201984","727148885968750","-417714777494784","-493439890809116","-45776206931328","-240024079236042","61265312500000","62170055417000","-540780543959040","758374857884160","-545422209127824","161091493368750","885254114033920","515727567018294","877408172669952","-15499012051256","-458131660800000","-6793886303064","524681032563408","286863235997988","702540553665024","998389516306250","-2637049642180128","97574174677584","-714133574676480","-524421019633110","-583120660500000","-1333232644141468","133699943863808","-555601033776816","1985473689061632","404255156250000","27506789056512","1218021327823874","1915738334679512","-1425478837515174","-15415090000000","-961677299613888","267186211144272","-269169594715784","-1552365387525120","-202412959931250","626367010787952","751064687970684","315733318003008","3638439920079360","-1312279013500000","-131605929551322","1111339638513664","-1954009573420222","-90018843790176","-21824546700000","-169856940936320","1487242859763240","2542841545956096","2088989061159080","-127575000000000","-2782050055621558","-22142471188992","405756044593956","598551295617536","-852379368209375","-1650560960848464","2483340089569144","-2513094739886080","30830687791200","711345050150000","2914821582271792","-16033445534592","-3545102456845202","-2720296574674784","962105311856250","-168537145835520","121585237099914","1801058275828224","-1338492091622140","-902152627200000","-593983451269296","-2901078448978752","-1776995547037920","-1396408593752064","95367431640625","-1375769359613488","-373290522025680","-2039880134546048","52942169065436","-289174762800000","-2231409210668888","1456912248422400","-466691250523716","979674270777776","-1754485880425000","-635235245914752","1309968918885014","-28443416276800","-784391247229752","-1254457344000000","2539174381647522","263666558689632","-1402148124930732","1260358840958976","-10729625512500","-191640613344320","1450239470260624","187449529397760","-840068533282160","599879218750000","1804334972368896","-2368909974930176","674966781552758","3166413452884080","1430781867037500","6637381944451072","-1705089727826838","4164223673938944","3553340613113740","92557533600000","4089976062621262","3832936409923488","-66522327912036","-1847476115896320","-1199151129000000","701482573363824","-187682021392800","-1283987552314368","-2180230410823704","-1202514992700000","455374647304024","-1246266209599488","-231713826360222","4311656176220176","-140126044921875","-640747701708864","-4214419150696386","4347547052126544","549451714628256","-41927088000000","-2629816639167852","-1664622309740544","-930313763999892","-880958701175040","-131480373768750","4970147484529920","2045811503060550","-74021649989632","-2635573697422316","1760353333200000","-3133092044095508","543108976174464","-185118116154048","-7253052353050784","2542664619812500","59228765568000","316192624538228","-2042671924826960","4113925482027906","297330000000000","-6217871172397018","-881419378798224","2908910901069320","-52185990692864","2017866939525000","-5787636117205488","-3394275273984672","-1982546141172480","-1380760631347970","2324653563400000","1600245746969760","-3413782182988800","-10983901402957824","-95036298077952","384018680675000","3494685991351040","-1700598072031920","8566977870736320","-1222192420866960","-966702988800000","3703763579569152","-4006251388058136","2201979963205674","-3190506170305664","-44275878906250","-3711737101629816","-7752128781579616","-1650231219732480","205891132094649","5053272745850000","-3526254776168","1074675712793472","8294259617487638","-8349936958394304","906862701065625","7586654018076672","-769801997726832","4189545306796752","-408381135077300","-721265616400000","-3655073606611320","-3765279649350912","1876022532001888","3466303892029440","-487870349656250","3142638625808752","-2029233950289468","30418717274624","542213769721536","415283203125000","9975253684852912","13920881036263424","-6300762104853756","-278503669343200","1719184557725000","-436875317074944","10929287389303774","-4241534262355040","1126907789781312","-2303686560000000","-3390907971722838","-7640014035463488","6511531015983840","2487629319955456","-46051946043750","-1131600095736768","-8225529828836840","-5230783006507008","-6405072107567230","548623521600000","-2132524606409622","6382390844512384","6928651372310718","-46722798071712","-2591201250000000","1055550463779840","1442554992137952","-10984288438584720","17373224191478360","906276956400000","1488150225146144","578534110226688","65055792001950","6256273657335808","-5859030717331250","6230425486926816","-2818687198372556","589247947949952","-2036721163532544","-4742552892000000","8940458311780512","-355630000158720","4458800200575076","-17508136989663824","-1824549764231250","-6658930993507840","3100849164019814","-5221775540298240","663165077372176","1789760000000000","-3749635865388870","7240330140991248","3234903080983336","-1816718421885696","3620056413600000","-16299146938669056","7836755836240350","-6520734660142080","13295608197638810","-610187270175000","6981271242122772","-138040281139200","702753807374064","-1330855556043328","-6804084257037500","-317703635361792","-193750296586160","-9531928619226160","-1812583766629152","-4307697857200000","6460071570149262","-572539176398448","-4549179373861552","7115291953889280","265847695312500","-11751301092410880","-3588197149342196","2659481460827136","13598990543251110","6013919648100000","-2366742800322522","-510979052404736","298037329190642","11072185646850720","-3687923806050000","1671358386682880","3807324749264256","-4185472507447840","-14962224305650120","-1142418816000000","-12179953969883329","10397938031609968","2276740909159074","2089547656665856","-1840382874853125","8786922660177984","-7632954956790768","-12587222534397952","-11442911840174484","136481406250000","-8781563315366688","3512006901176832","-9312900173632962","6370009562687232","-2530327151812500","1041645663959040","-20108075840233766","1672232386120128","-17863628196615980","48040463200000","8615537615035296","19192789856663808","25119414023248808","-2629744618733568","1559940763368750","-26758419904456688","8312935987984311","-8078668518260736","-3035992659342720","-192801971250000","-7537515147556968","12509287715097600","1159397309072466","31787594078338560","854003906250000","7634311209364608","10524869428313094","30814263373109440","2717985421812006","1834032793600000","-21004971736711118","3948988043552328","-15518070027775612","297844826206976","-5694353576437500","-1460322020793888","7611826628871744","2771289178721280","-15711210520900224","11112572210250000","-390617482875228","9761690069860864","36437648038033120","-2124460709799120","10037586142437500","-11233514980638720","11034115994059488","8635370783739280","1203007261420800","627395625000000","-599632048013348","-7948422185470144","-96082508909376","17175494526919680","-9163907888056250","7486292307686976","-23910345161110596","11774652277426432","-7162255597967442","5371846418400000","24492253385468032","-17456246778839040","3849870801927696","-4348638167094704","3086729414043750","-9159847388188800","12812479925496768","-200535962164272","-32157517777822760","6954482304000000","-11804144065106652","-36959209687941072","14571220777553456","828841606483968","-2071649863281250","16626846013213632","7815306446897472","-830925145702400","-12773908327583710","-11283541315200000","16375680315188540","-18419551129408896","-12588608269675656","46878866533958816","87369937025000","-3482150632289280","1115540237962074","-10768377457829376","-5969856328322814","-9034729342400000","-39799126405060138","-25513500800461968","-52447143765539424","-39284264568340480","-1254811917150000","88642680187264","-32697926982537996","-7164886307420160","31674548839561564","7498979687500000","4251086567839278","-375452041789440","-2744523613683302","-7945111421330832","7145075022850000","7614200421278720","-123424109915400","-6823903784248320","-1177390969454304","-353739571200000","44996312270019233","-13031070252491872","1144124531456796","-9859070781760384","18331775173806250","15763752856406016","7813351374887024","-14663652747179520","-831583375761960","-3436036665950000","47962273387156452","-921850007073984","22769256550666560","-5293727509861504","2603047324218750","21294760384028672","42890100994565794","-29628793142325216","7113824226113640","-4060356455800000","13739972661621990","11750129050089248","-19098413403748272","16551290100925440","1692463085793750","-63363709309600","18069756299413632","16365103226309120","584902925770944","1157649740100000","-7644353011880608","-48629057838907392","16632206207346564","20816993701819392","-19126065583375000","9085623612818688","47289073638574734","14836391964698080","3043933309418022","1640625000000000"],"space":"15.12.a","level":15,"weight":12,"T":[[2,1],[7,1]],"status":"proven","derived":{"al":[[3,1],[5,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/15.12.a.a"}