{"label":"51.8.a.d","letter":"d","dim":4,"charpoly":["2890266480","69197553","-263303","-259","1"],"traces":["4","2","108","104","257","54","2244","384","2916","-6632","9529","2808","21779","-4184","6939","5592","19652","1458","-72755","90108","60588","81052","83285","10368","293835","-872","78732","405040","224304","-179064","11182","65744","257283","9826","944984","75816","-538790","823772","588033","-905512","-859485","-112968","-589941","-254388","187353","-1457252","778886","150984","-165644","-4587622","530604","-590188","72820","39366","-3069071","-154176","-1964385","-3061436","405066","2432916","605342","2204960","1635876","-8259120","-1214355","2188404","-2006200","510952","2248695","-12809632","5956416","279936","-5116236","9361804","7933545","-9825444","323808","-23544","-8541226","-9333368","2125764","5322016","11446778","10936080","1262641","13774132","6056208","6932696","17612798","-4834728","6105416","20454684","301914","-11176296","17883733","1775088","22609850","-18374158","6946641","-11791252","9178582","265302","3280363","3081896","25514568","-30909956","18581341","2047032","4311142","15810468","-14547330","-25684352","2188333","22241844","44235173","-44012240","15876891","5872432","11024772","-24448824","-30013145","-104273508","-23206095","-95613176","-12864291","-3050136","-4322035","-20410976","-15928407","-11910996","10082759","-6868476","-50791584","-81022984","5058531","1886592","43736908","-39345804","31981370","60915712","21029922","42156120","66358115","4076568","5226458","-40564652","-4472388","43607400","-62017780","-123865794","-44938720","-79683048","14326308","103700400","-152786790","-15935076","74644855","-24012192","1966140","260461104","145603520","1062882","132622318","-137526956","-82864917","139790896","74284977","-4162752","-110802749","-32583016","-53038395","42751492","-38826347","-82658772","101047852","79476792","10936782","163464220","-79150814","65688732","57003204","-5984864","16344234","-9674248","-23330276","59533920","46815977","221453224","44168652","407667940","82230010","-222996240","-114775420","183992364","-32787585","351282280","-82704839","59086908","-3912700","-40567032","-54167400","127890228","-43048632","13795704","-84855847","497199500","60714765","120326488","-225779073","-345860064","-223887522","-348799584","160823232","61460524","-451157989","7558272","-455064208","133974300","-138138372","139471916","107000227","252768708","-149802143","248419136","214205715","-465867832","-383643753","-265286988","-320366152","-860661996","8742816","-160104512","244352979","-635688","-355386698","-527378408","-230613102","-20555992","-164183580","-252000936","-121091122","141337558","57395628","-408486984","658622697","143694432","-436931313","-33781552","309063006","-545911396","254992936","295274160","-130256417","161256564","34091307","166212384","445969962","371901564","-121655128","569745724","163517616","414730788","-873245184","187182792","-1062634118","827627120","475545546","776460096","101418631","-130537656","-998605459","27473496","164846232","496682164","468617568","552276468","260255692","-989183888","8151678","-272611296","1274050914","-301759992","-284701634","-105242272","482860791","204225628","-912870984","47927376","96550276","-55480880","610465950","234692672","2045859138","-496102266","-1884834394","181790320","187559307","1268070860","201878079","-318363804","-520255360","2631411712","247821714","540318168","834427208","7163154","-1525487336","656664672","88569801","2525608856","-1053588004","83211192","1029126306","-963249384","688893336","-423100504","506701852","-834568812","431132186","-771219120","501696207","-2086699600","-357445315","55269864","2068038142","-1575706960","116400834","-430192760","805261824","426882636","-2986903127","731571448","-392777910","-1445209044","236112212","-693477504","-83163764","-224988630","59084991","442700604","1104086166","600529788","-119687928","1072031784","1194349671","-612960200","262085544","-1188330480","919330149","-5023774648","428676057","-1700145712","1122254304","158555664","-3630185588","-1181465544","297668844","1507193328","-531024684","-660118248","4077757519","-2993342684","-810354915","1591305600","-744307370","-2815384716","-2325482096","-1639253480","-626564565","1744418584","-1976204616","-2581555752","3663303468","398208476","-347335857","1617871472","1914834734","-82353672","-2281064640","-8354564740","-116694945","-1871567512","1575080572","-551096352","174864720","-2087272444","-430066989","1985910024","-424920146","-321596892","409179205","-135332352","272234493","6955444776","4333951074","-185448852","-460075050","1170394280","-1371372768","860876240","-351116113","-2187620568","1475235694","1427565976","136580337","-3165791664","-768810416","50937984","4226994401","4843954300","1180896516","1419666276","-3234160464","-1062336708","3935640814","-108619568","863496990","-1232102628","2017113560","1644724224","4273563515","-3358478304","567807894","759134720","1443611355","1138215240","-159007608","6501397820","1791669105","3472912316","-683059620","110067336","-3425978793","4150926208","141114366","1064191224","-5681799077","-1095245604","4035783392","-2304169160","-120754476","-4284136","-104383330","1177399800","-709766776","3748595316","-1674480060","-6801555840","7010492996","-3344376438","-1365901009","-4004079220","-1213345440","4755940116","4652943776","-2151442296","544114233","-4385452740","386810316","7619721564","445037612","2799910800","5019822120","3216121584","-4125243330","3037461808","-5836734378","-430247052","2200205168","-6770322488","2015411085","1978888240","1657051809","-648329184","-15092027856","1989961520","53085780","-799849392","1630338329","7032449808","-4026029164","-4630615044","3931295040","-2546574836","-2505088156","28697814","-5665300558","-3612548752","3580802586","-11405034728","-8371791878","-3713227812","1102005552","4128817244","-2237352759","7857503536","-1045843088","3774354192","-9460716498","16415092988","2005694379","880084056","-4758688037","-112394304","-2014961628","2918598348","-2991674223","-11892112836","4283449922","-879741432","-1878083864","-1796573504","-1432036665","12544915548","-18201796265","1154290284","2987774882","10156058224","-1048311369","-5832621256","7759441547","-2231786844","-11480923640","-3121163404","2728292004","7585915936","54937166","2145873384","-3439448481","2107441200","295293114","-17756455072","-3680045797","4413533940","-2552616523","1834240512","-2137071978","-8329115648","-5598613375","1773595764","-10634487682","-7622975436","1539086508","323000272","11632946056","-161591328","-4726249240","10236101664","441294318","-4351924728","-2690486046","-261204696","-1280737424","6023152820","-629917452","-1094831752","4470755848","1607415840","-3018801343","-4843866176","1264031379","-16659109364","10128340570","5979237048","13310205707","-6539631472","1192553604","8027247040","-7186608638","11007034380","-7004536188","-4915359004","2220210270","7824757248","13971574696","-6020898480","1615816173","48275138","-3098936340","10335078680","10268506192","4967793828","4187956674","1587986816","-885264795","3738126868","-12775764960","9484621560","11359152174","14081679976","-2233030653","-2892528416","-83706252","1595346516","4642706392","7117258304","-105642900","-5143047828","14508274842","-1095309864","-7381788056","18430789840","-1462519800","6950251648","-18903381612","3453036156","4275382678","5587775440","-1162313064","-15690782600","4189030722","372484008","14679218783","16105452456","-2291107869","2582439840","-1216594980","13424386500","21223371414","-11390220744","1639298655","-7001740840","2360696072","3248815176","18757094830","5414182588","-6096034971","-4327728700","-2647075270","-9338221728","5129931365","-11719266096","-6044963094","-2011991996","-16169827951","-9417588768","-6010647221","-8390788776","4342227264","-9704338912","-4977223267","1659434148","8549195684","23499347296","-12181265703","4047191836","-8399601374","204073344","12129696410","-18433169668","-12286733616","-5630640568","17683042849","3617306100","-7132204257","8214487224","-3729736044","-10614912096","-2607708534","3765741732","21595902049","-5156479924","2889006129","-3304165040","-39518221232","6824755116","1042486898","7568367596","-4044657861","-29430048416","-9259548732","6707316672","348467956","-12863285340","5783554305","-16297001332","-20121086061","-12578431464","13631359368","-4448780456","-10358381331","-13996396840","-2105394185","-7162748676","8481558718","-23221225648","-8649886104","-340877912","9247965902","-23237873892","16124958104","-43785662804","236056032","2777739208","1176985038","-4322821824","-4222649805","30136927392","6597530433","30690843312","-12529320690","-17163576","24421340400","-18217250064","-9595440846","27438287588","6660423448","-14239217016","21351674640","10130145920","-6226553754","-28206352","-28968062514","-555011784","-24781743681","16428502904","-4432956660","12876227264","27842588975","-6804025272","-10515123792","-35134730074","-3269460294","6377515264","48622326054","3816114066","-15664910800","-2848266912","1549681956","-5548273776","-2898380133","-11029148568","37050173972","-5744644472","17782812819","20028621072","-13073379164","3879749664","18706495381","-42312077648","-11797145451","-21166512528","-7136028828","-912101904","12480641850","-5177888324","8344701162","-1249808244","27538202848","-14739607692","-23911928482","-13785576048","6884809272","-11693837680","-26699241248","7972402320","19844197981","27815613592","-3516923259","15423016440","9725385484","4353927228","14949742888","4872144216","920465289","-4060262096","14183036114","4487734368","-5170649443","8006133648","12041188974","-58090502368","4866176342","10041342228","4244958148","16301393552","-3284688456","11928902532","53463818379","15383134548","38406766668","-7159479076","4414975632","-31791477096","-47764201783","11197731276","14856415796","30327218204","-23577619968","5372563416","-192210088","5053935384","9852481304","-30068939236","-28691121186","20148525360","37769919742","22345932240","3826666918","43536683104","12839729742","-34765766592","-12972968610","20964422592","63984429904","6215609000","2738303037","11231464400","-16762808285","-3524516712","54954851370","-4021579680","-26962347393","12853535792","77225456450","741784392","-5294438427","50951297032","4450848264","-59128258324","-35228566375","13410418428","-37562637532","45342307752","12652674336","24889459776","-2885413137","14911464636","-21717601440","-5475290120","7026903684","-37783198096","-813808972","-26707964976","2493796513","21607113396","220095306","27557527256","22788776515","-7360504992","-12906310372","24842264200","34399374678","-29327790904","-41955350038","-8147519784","-37632890940","22894649136","-7686944118","-22538986886","-22843705856","-2841541344","-24373518736","-113774865424","13037241357","32336121720","-40976943208","5514091956","2098882320","-24874703036","-24647516568","-52183505208","13417427492","1294039152","-64204682325","16913797968","2606857452","-64655033472","-47317793490","-1497983760","-16784204612","-18857444848","16482580650","70551869836","87097468032","6336702144","578256396","42412229128","55238196726","-22012902696","1046043108","-13394761182","-24275759647","-2899593644","-50890528638","-60563559200","-7379438333","4908338640","-56304594672","36824982840","5064101289","10337384940","-130210790550","34237913220","-49381503970","-25837516416","5450708133","27449919092","45406178156","-8595822708","357764660","-28073288388","-14046894720","-44139463240","-51751231330","71048116224","-17646285030","23521309812","6691186278","-46719502864","-38252751807","14588590536","18742735810","5910957928","22529534616","16374381104","-13470414880","193405158","-32704060027","-11476074216","-41188158072","-66127995396","47412295652","17729946144","-129824586434","91292679776","2391384627","46112292640","33935875237","68191439112","-57292599627","63711618388","-28446876108","6290890512","-15078345823","2246702184","-75101186504","-89257154336","27786410262","132306519912","26571218268","-26007733368","-61006718245","47514575952","18600120072","13434355620","-5849690024","-11423713608","-28289044446","193813921096","13680950004","-757466688","-3017503466","-22533357924","31022394826","-168523193392","11640569022","142223400876","59021196456","-20822916240","17216361760","36799663944","13545797589","123575589944","-60431850810","-56340889200","19847299015","26114650472","-9651023505","-21861104600","-9656314370","1492286328","13217453264","-98986217600","55837029834","6097632192","77429304876","-42544087920","64058193604","71675280604","3142822518","-24121440560","37647139035","-11615204520","-9563350465","-15040835068","21742069248","-10758322732","-36147361147","11525831172","26129964752","-35362180832","-80646384429","70165217632","-49358777320","19752429096","44602212388","-71664051888","-10605003570","-28210338760"],"space":"51.8.a","level":51,"weight":8,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,-1],[17,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/51.8.a.d"}