{"label":"69.6.a.b","letter":"b","dim":3,"charpoly":["-213192","-3357","64","1"],"traces":["3","-8","27","22","-56","-72","-114","-510","243","282","-376","198","-858","588","-504","2738","-2548","-648","-2846","-4618","-1026","-5050","1587","-4590","753","-7788","2187","4736","-16370","2538","-14756","-3878","-3384","16520","-18520","1782","15874","12438","-7722","38270","12606","5292","3154","27114","-4536","-4232","29928","24642","4471","1452","-22932","86856","-44084","-5832","38360","-35704","-25614","73316","-29300","-41562","54010","99908","-9234","-1582","-51216","-45450","43390","-69840","14283","-2476","23424","-41310","-91402","-2294","6777","-14274","-97208","-70092","-49398","-52626","19683","40152","-103936","42624","5888","133634","-147330","48898","96112","22842","129228","11638","-132804","-133688","-55928","-34902","-135318","108440","-30456","-22738","-227246","148680","107834","-226512","-166680","195098","28704","16038","-371818","272068","142866","-180184","42960","111942","-29624","-262360","-69498","174776","255448","344430","119567","-302170","113454","-504844","173784","47628","-122956","212330","28386","572220","-460004","244026","395884","-320314","-40824","482560","91688","-38088","-308692","486716","269352","-385776","500544","221778","140760","653252","40239","-145654","695904","13068","-416016","251646","-206388","-218372","230712","781704","-116014","522212","-396756","-231538","-60306","-52488","-219680","-755692","345240","-1013030","303784","-321336","502197","-743720","-230526","-1064206","-159346","659844","-37574","536434","-263700","-1179500","-437940","-374058","1526238","-474144","486090","-269790","-326328","899172","-534688","25256","-83106","-414576","-678084","-14238","-293206","-897628","-460944","-1935426","318414","-409050","593770","-29950","390510","-50004","1194988","-628560","713912","2141008","128547","464112","-462320","-22284","-1245936","-2543970","210816","-2475126","267960","-371790","1040824","902902","-822618","-2004276","45144","-20646","299768","1333656","60993","456060","-3015332","-128466","2237862","149178","-874872","2823888","-490178","-630828","985688","303168","-444582","-262208","-103032","-473634","3422434","2602348","177147","1098654","3072328","361368","1002804","3440916","-935424","-1022548","-1524180","383616","-198904","-2772976","52992","-2370814","-883074","1202706","-284772","-1796124","-1325970","3272420","744996","440082","5475904","-487708","865008","4627942","646486","205578","2697548","-3723008","1163052","1218848","-274976","104742","4268682","2677080","-1195236","87084","-2006344","-1203192","275478","1152272","-503352","222420","-2266628","-314118","-776899","-3032076","-1217862","-6164840","1397836","975960","-2689712","-2083430","-274104","2821810","-453882","-204642","-14276","63652","-2045214","-3454706","24904","1338120","-1713480","2261012","970506","-4780536","-4752080","-2038608","2839518","-3273942","-1500120","-416640","536478","1755882","-721096","-2628914","258336","311052","3620296","144342","-624558","-3124852","-3346362","1912652","-5120608","2448612","-4071800","10538310","1285794","1153840","-8825368","-1621656","-70710","-1072024","386640","7986600","-2511880","1007478","-4968972","2906850","-266616","-4306420","-1293092","-2361240","-866538","247068","-625482","-6069966","192850","1572984","2928488","6982860","2299032","5145804","1553052","3099870","-2980989","-2553210","1076103","-4396392","9137832","-2719530","4002474","1448402","1021086","-750824","-8843472","-4543596","638874","3366216","1564056","-1540472","2823084","428652","-4011358","7282016","-1106604","2103476","1713012","1910970","2591280","12074752","255474","6152480","300380","5149980","-1347892","10532218","-4140036","-13469296","-6249912","2196234","1029002","-5589572","3562956","240338","2823028","-2882826","-1325016","1112200","-367416","-2505616","-4874848","4343040","-4283854","-4134916","825192","-19313484","9361080","-342792","-4945144","-4333824","-2778228","2589192","-3099440","4380444","-1107098","8295812","2424168","22390774","-341468","-3471984","-5471844","15518550","4504896","-8173416","8226376","1996002","4778526","-1298008","1266840","-4681946","-1505534","5879268","-3635704","-2087908","362151","8190336","-9852132","-1310886","-1748672","-3214828","6263136","6863080","14129030","117612","-2421464","-1827164","-3744144","15908502","14712720","2264814","-12271902","-4855218","-1857492","-2442922","-3504146","-1965348","-5854872","-19271440","2076408","-691808","1900484","7035336","16031876","4054360","-1044126","-2739056","-8701744","4699908","-645986","-8042320","-3570804","6047624","-3868688","-2083842","-8203404","-11136484","-542754","-10838534","6474128","-472392","-4367896","-8951042","-1977120","-10159022","-10800580","-6801228","18158360","4466220","3107160","-21779116","-10844144","-9117270","-6073600","14443972","2734056","-1083774","7353992","-2892024","8900456","-2671450","4519773","16630712","-7024858","-6693480","-11560932","7897562","-2074734","-19327960","7738232","-9577854","6831400","4165004","-1434114","3952212","2106576","5938596","2147558","-26971276","-338166","8024072","19415696","4827906","839523","-14055668","-2373300","-12259052","-16382388","-10615500","2340456","-34283818","-3941460","14330560","5225032","-3366522","-6806218","-20800248","13736142","13429920","13979112","-4267296","21026272","-3884624","4374810","-1050110","19689308","-2428110","21243044","-12201684","-2936952","-1302240","-103196","8092548","-16499340","-11198580","-4812192","23872444","18880548","227304","-5609984","-18439206","-747954","136496","14856524","-3731184","-24991666","5112492","-6102756","4960152","398337","-128142","16604762","-11688824","-2638854","37969020","12248136","-8078652","20923048","44342816","-4148496","14547186","6817716","-17418834","18698048","-4428920","2865726","8991754","9819998","-3681450","14643552","-35408050","5343930","-4119852","11448304","-269550","4193426","4592924","3514590","9159900","-24787056","-450036","-21529248","12777086","10754892","12855808","-12652992","-5657040","9281506","19034716","6425208","10405348","-715992","19269072","5675102","45894696","1156923","-17441464","-9466672","4177008","-31329797","8415292","-4160880","19578954","-8929144","-200556","-10232118","-5615144","-11213424","-4692204","12222208","-22895730","-31768242","23997436","1897344","5621070","-10464276","-22276134","-12035190","2505344","2411640","-17310408","9169720","-3346110","-17387504","-232188","9367416","12130228","-7333814","8126118","35123328","3205196","-7403562","5268192","11324388","-18038484","8812954","-372244","406296","-24997810","23656544","-185814","-8659730","-15298176","2697912","25195448","8701456","12002904","-25317262","-21024224","548937","-8525638","-21794304","4104540","-11969676","-37611640","-27137988","23329192","-15119284","-1156194","-16617552","-4067896","20140758","-15832366","-22753896","1342602","-8045112","21572416","-7873848","30893220","-31642528","25414992","-8527208","-9843184","-4411602","1564456","10886288","-5677452","-11946468","-17418030","8871192","-26213520","-6430956","2728512","6102166","16623560","-4001238","-32404900","-7805924","-2359872","-42506112","-43227732","-927288","38002716","17807376","-4262706","-12132876","5472372","30801906","14795942","-3233990","23421132","-35545482","25576584","1594323","-40679692","10796552","9887886","40571630","-14097396","27650952","-2051462","-27081168","3252312","-50142428","-9106024","9025236","-4030012","10747532","30968244","10711856","-16179230","-8418816","-18174600","-22716792","-9202932","14996302","37444968","-13717620","45718992","-6206424","3452544","-18975354","-10934362","-1790136","-31171936","8444346","-24956784","-3055180","16234468","476928","49868648","18521976","-21337326","-11104218","17123896","-7947666","-65709372","37964712","10824354","-1652396","12409176","-2562948","-10758498","-19282580","-16165116","34277368","8739080","-11933730","-6540054","13170968","29451780","6620658","80195452","6704964","-18389492","13259504","3960738","-6463644","-9039928","49283136","69789352","-41638172","-4389372","-40843520","1365162","7785072","-31945232","16415656","41651478","-9797080","57138840","5818374","40674208","-19872598","1850202","-18683616","-40564600","24277932","-27728240","35887328","-33507072","2418092","39649856","10467468","-1114252","7348634","10969632","-4193396","52645436","-2474784","-4925248","-16512284","942678","47627350","71790860","38418138","8337648","-10175396","24093720","5701960","-8993288","-10757124","25728338","17564604","783756","41640037","-56557494","-18057096","-47824612","19189400","-10828728","66826886","-42312474","2479302","43240","8397346","10370448","-60122702","6922724","-4530168","-38596578","-49106858","2001780","-28235988","45237624","-20399652","1066820","-4363552","-2827062","29149512","-25316204","-6992091","-34307512","-52593720","-27288684","55325292","82129974","-10960758","6579702","50762560","-55483560","-24065782","-47571944","12580524","-17203620","-66181824","8783640","-47201304","-99319440","-24207408","37467192","74471544","-18750870","-37960504","61519400","-2466936","47186492","-52132008","25396290","43632528","-42191624","-4084938","-31772632","102053368","-1841778","17136976","-3259004","-128484","-11278508","-66838696","572868","-7807186","-59186782","-18406926","-719400","-50959216","-31092354","71027264","43570380","224136","3625518","-32596280","12043080","-9363566","20244830","-15421320","-7853384","4144272","20349108","5340174","607456","8734554","53804320","24461814","-43024824","-37082054","71825708","-42768720","-30760078","12795968","-18347472","20341430","-1336204","25555662","-81601704","17535464","-29465478","6668574","-45760560","-13501080","-333776","10178364","-3749760","-57762276","462698","4828302","20396176","-76002892","15802938","-51197888","29534088","-6489864","87202504","40794480","-23660226","26466835","-28776924","2325024","47640920","-31480336","2799468","-38762084","-34687674","32582664","54232788","-88487524","1299078","111602072","-102004192","-5621022","72664590","34658576","-28123668","51605392","7037374","-30117258","-43275460","41602792","17213868","16568728","-116425184","-46085472","-96724452","1668466","22037508","100492820","72351316","-36646200","-2214288","-115914088","94844790","65208062","-83050668","11572146","-114212140"],"space":"69.6.a","level":69,"weight":6,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,-1],[23,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/69.6.a.b"}