{"label":"179.4.a.b","letter":"b","dim":27,"charpoly":["-2791607129110945302","-13646401920029642786","6603278691636885427","21472782517130062356","-795358445455265892","-9050320671917762982","-898413000353759370","1649072399583355001","259764918589708682","-162546476683702914","-30514917055488630","9776225098378369","1979172839514176","-388258532942824","-79011158835486","10741612837805","2034521739876","-213154547348","-34200815454","3030845625","369207014","-29794744","-2435314","188321","8790","-672","-13","1"],"traces":["27","4","9","130","35","50","68","27","338","119","59","53","311","116","-38","822","146","151","447","335","504","252","110","541","1390","152","306","933","639","704","680","525","670","986","614","2072","781","534","758","1451","1232","1365","417","887","1812","-790","-587","-3451","2083","-3222","-751","227","233","-237","840","-4497","-2397","-1914","-459","-11634","3817","-6628","382","2551","-1989","-4081","-149","-541","2034","-7246","-332","-8851","2054","-8184","-2292","-421","-1280","-4405","2754","1342","1571","-3797","-1191","-5180","3682","-4966","-1355","-1828","-658","-9887","2504","-9411","686","2889","2176","-6038","1934","-3481","-1725","8575","4168","-10153","4674","-5742","-1368","2182","-943","-6464","7637","-4449","288","2035","1256","-1357","4388","-2331","5176","1685","-434","2969","8050","-5800","3244","6577","1590","-6997","2124","-766","10708","-3015","5745","-5267","5350","-1442","-997","9639","6012","-2069","7495","-3046","5432","278","1638","16837","6836","-3496","5307","9133","11935","-1379","4164","-164","6228","3351","-4095","13963","13855","130","10116","18845","8748","-2734","5389","13606","3826","19557","4424","13794","15390","6126","12013","89","7731","6329","12644","2805","7331","18972","-4833","17994","21780","2841","-5745","-1594","-3206","-3017","5367","-11805","7472","4381","-814","-30075","-1936","6583","-20675","3276","182","-27162","-6554","-27176","2833","6882","-21944","-7618","11030","5987","-26076","582","-3550","-3482","2660","-3494","-17612","-552","-35889","20597","9280","-11396","-38892","19345","7026","-7323","-3062","-38002","16257","3756","-10682","-31749","23142","-4951","-50470","5068","-27624","-19372","-9700","3785","17990","-5055","-4788","-88277","11626","-3435","-47664","35760","-10113","-6167","-19118","-48002","-7504","17000","-7746","26561","2424","2871","-68389","27222","-2034","-3733","-15094","-22960","6621","12646","-49768","-1403","-4662","-5207","-26898","2643","-20955","31959","8262","22148","-41188","25470","-50581","21699","32816","-9316","-22877","-42971","-3988","-9436","-5823","26353","3669","28693","-25556","-47984","13227","-6775","-24622","19596","17619","36139","-19412","-60343","-16940","24211","-8894","-39051","39482","30633","-27756","10328","-21866","13007","14552","-4005","-7580","4933","-25206","15372","6528","15531","-12018","60315","-652","-28366","-23820","50092","-2772","53329","-64347","-3271","41241","27495","-9836","8675","-28154","36760","9817","-8468","-5561","14910","1546","-2511","31510","10360","-47716","33189","27453","59926","9460","13015","10614","34338","-15361","20299","69661","-7033","-6133","19155","2942","5906","14486","51600","6292","-716","-40739","-17807","29412","18296","2635","60511","9614","61246","-2871","-47814","48216","52958","-12290","61525","20675","30169","-87899","99618","-1502","48045","-15118","90500","23532","43597","-31273","11830","30732","-9967","-50550","18195","18211","90295","36008","33775","23762","55412","-39656","65365","62781","53961","-15830","148597","-7028","138501","-21683","48969","21566","50259","9465","-94731","23763","8685","21296","64499","-942","-21160","-40105","-14147","46652","-74291","-21119","-74215","34698","-27666","-114693","1002","24751","88279","4756","-56766","15216","-72252","-180","-68982","-1799","-13843","-54345","14575","956","22634","-6471","-30698","38352","-79772","-73599","36640","4981","22659","10780","-113857","-15466","-105278","-14286","56590","-20430","-74489","-48068","41414","9152","-7827","-25519","-151098","73841","-37276","-50192","-73056","-16283","-65530","-19878","28454","45886","48437","-17512","-42234","-12970","-67591","-26026","392","75791","-96326","-27825","58459","56292","39125","-122136","-141268","12770","75642","12698","-149696","21180","-159333","-11579","-19491","30669","-41982","27708","-22791","45076","-206075","-5911","3788","66464","-71142","-51067","-131278","-24278","23037","18168","-71730","-29347","-17","12520","90806","-76987","-604","-31490","141554","79279","-104127","-35522","-164365","44856","64528","-58105","49939","56480","-46065","-46777","-84332","60779","-18244","-3415","-14145","27840","-76192","-14739","10855","-1611","-100405","-67531","-193927","66743","70300","28874","-65028","75638","65598","-44245","-18751","135725","-127047","25643","85354","-44186","-51303","-29868","-38074","59839","-155828","39129","38225","5476","-167292","-35715","56885","-6092","59095","46984","-211680","52956","1743","81348","77958","73486","-139743","-51200","108028","9768","-4168","36065","-58922","53998","53756","-68207","-125293","50077","-105478","16585","-51045","2212","120139","72666","-40706","-32110","50940","-89732","162710","59151","-188590","26024","-70181","37794","114767","-9823","-177958","14243","78683","13816","55705","53720","-79138","-25050","199338","-7804","-12960","26762","-76521","32986","-63534","14923","-40989","81206","72298","-8728","29235","58257","27922","12564","-201762","63997","-243841","12816","88827","40406","-39138","72812","273720","46197","-87401","33900","72826","15400","133684","-30286","-1851","145167","34116","-2339","-150430","13280","-28991","12392","-88273","-5065","-26907","44818","196296","149734","-159158","81683","25987","151075","46895","-82395","101373","97614","-56311","6348","133975","3362","-364566","98840","273221","-29590","83261","38107","99012","67647","39072","-3922","137814","51220","-21571","-56085","46940","148844","279271","69080","-308791","96290","234981","59120","160817","51824","-304578","69725","156626","56846","35567","57900","-32803","124225","137173","5908","180100","148064","2852","54866","42581","52820","61125","62310","181836","105918","108881","-11254","-23270","70361","-216217","-48841","344490","89328","164602","49964","134414","46996","43511","107714","-36018","-83728","-271735","42816","105682","24961","83886","-23756","-151639","-71984","-73817","-6401","-138355","28125","3672","-20562","48127","-25695","133460","-91112","-45675","88598","224944","42518","40056","-50386","-133290","-6919","-95153","-39610","-80766","-17192","-44759","-105808","137961","-71198","-43376","-67727","82178","42124","-291618","119666","-42986","13030","13077","-25743","85589","6636","297255","-335040","-105399","-134596","-264543","32220","-157196","-39827","-267703","-227034","223153","-28189","121515","110290","120216","-22044","-172847","-64082","58298","-157878","-43477","-36902","8698","-100703","-180747","-58389","-12168","20104","80586","71098","-195121","-47132","-209284","-82292","-396215","53681","74449","-167870","-47523","68458","27156","-247214","22297","41748","-255439","69819","16359","-31823","70375","-188560","-148924","-133718","-300538","211623","239239","39734","45053","-314326","-222696","117744","83820","-100427","-296721","-35576","295322","-186680","-35210","88710","84728","-131451","222830","-13812","-167227","-152888","-147841","107194","-185509","160035","-21178","-9889","-202809","-19317","-33477","50635","-282592","-48824","-277845","-764","157784","-105281","171649","-32945","-122455","-129988","-55867","166970","142136","-370322","26416","45808","-82971","-585","-85648","78614","-99797","-33064","166855","-46817","140665","-14769","167392","-246523","100381","-62648","92632","-26485","70346","53120","-13017","-6265","-170532","-384348","-238925","24220","584005","237499","195986","-25132","-1202","-405636","164001","67973","-131766","128444","-269085","9060","-375049","-43356","-45002","-217411","23358","45044","-64102","109876","-43011","-289348","-97202","48516","-99610","-34869","51371","83172","-100429","27508","555752","210025","-214947","-151038","-61844","97684","-404895","133030","-34767","136800","5400","-178548","217123","14374","172979","-451236","1271","-122997","474276","76938","86425","67982","-109599","-354090","193608","8909","215958","-46194","-166622","-26150","-702676","-90601","56490","15594","-130986","143174","-54918","-68370","-60992","-271904","168464","-58441","-18987","-2634","216385","-38249","347878","-317176","44338","-21635","88696","112969","62941","203521","242327","-40374","2508","-111702","-396602","-14488","98960","-24310","-40651","-123098","2577","15976","351487","192661","159815","-52098","257603"],"space":"179.4.a","level":179,"weight":4,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[179,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/179.4.a.b"}