{"label":"111.6.a.c","letter":"c","dim":9,"charpoly":["-1140432891935112","74276944596324","2010156194988","-154228330600","-1214042481","85744671","437466","-15980","-45","1"],"traces":["9","3","-81","133","42","-27","-20","249","729","-468","-498","-1197","44","543","-378","3085","3354","243","704","7962","180","4049","6222","-2241","6375","16695","-6561","20631","20118","4212","6872","49671","4482","21139","29100","10773","12321","44697","-396","27152","9366","-4887","-32904","5337","3402","12413","-22296","-27765","6859","-27435","-30186","-36069","36462","-2187","-34964","56433","-6336","-52788","-840","-71658","12630","-3846","-1620","-2343","98016","-36441","-11984","1377","-55998","-189176","115800","20169","-81744","4107","-57375","-22423","86436","-150255","-27756","-20538","59049","-319914","-58098","-185679","69736","-47904","-181062","-523609","301650","-37908","-81704","349311","-61848","-519238","118452","-447039","-10","-345468","-40338","-702577","389970","-190251","-232588","-12519","-261900","-236905","25314","-96957","-146168","-132372","-110889","-139393","856890","-402273","226540","421986","3564","-829524","1021086","-244368","731055","436698","-84294","-122018","699348","43983","908140","535233","296136","-116772","893592","-48033","369106","403902","-30618","423173","1007934","-111717","415392","519288","200664","242128","747570","249885","932900","61365","-61731","182077","1548378","246915","149868","433287","271674","-392013","189552","324621","-465346","-961170","-328158","1312796","707664","19683","-1637488","-487902","314676","557885","-1094454","-507897","1556929","-1347600","57024","-776132","31734","475092","296116","-1470075","7560","253927","458832","644922","-926642","-825027","-113670","1234547","57498","34614","-1146848","-2972790","14580","1113200","-1626978","21087","1742606","-1930806","-882144","-1734390","1679334","327969","-1633876","-1921269","107856","-351790","-598632","-12393","617364","-1896846","503982","-2156185","642912","1702584","-1362780","438903","-1042200","4204995","-1342176","-181521","-568256","-3968547","735696","-1067260","-576288","-36963","-1331600","1152501","516375","948686","-1829928","201807","1489162","-834324","-777924","-548416","-1408782","1352295","-483320","-5971854","249804","-2242091","-2771544","184842","-1738894","-4650000","-531441","2623462","-1626114","2879226","-1795788","-5846814","522882","-2417732","-1395840","1671111","-458970","-1690035","-627624","5749669","2944554","431136","-27380","-2163480","1629558","-4326842","3169944","4712481","183216","-453429","-2714850","2464750","347214","341172","403944","-744495","735336","4735340","-4892550","-3143799","4087272","-6837558","556632","4552800","3751602","4673142","-5696960","4542600","-1066068","11678391","-3205092","4023351","5091453","758268","90","3596081","4838574","3109212","-2883264","340881","363042","8634366","-293850","6323193","1167504","-859611","-3509730","10412817","2707788","1712259","-8740744","354915","2093292","5724796","-4123728","112671","-2736226","4789500","2357100","1546814","-2732094","2132145","130560","3409974","-227826","6825699","6936846","872613","5924748","3740979","1315512","-5541918","3374700","1191348","4338888","-3998067","998001","4689403","6603744","1254537","1674936","-621630","-7712010","8013900","9600132","3620457","-4666828","-10697652","-2038860","-482595","-6471240","-3797874","-2453018","-13592811","-32076","-13238617","-3200574","7465716","-9815184","2750337","-9189774","11170212","6734736","2199312","-7205817","14618112","-6579495","3779125","1201584","-3930282","-6833268","9863619","758646","-640692","-1422246","1098162","-9332838","11228331","-6294132","-18547538","-522276","-395847","-5587316","-297624","-8173260","2192885","5740266","-4817097","-14883988","-2731758","-2665224","-1899134","-773994","1050948","-14087636","-7211976","-8042328","3110297","3233040","432297","3671758","1125744","-3321954","-7219245","14176050","-3635118","-12734836","19111374","275562","-7835460","-681762","-3808557","-6239910","-6640800","-9071406","13035378","-580068","1005453","-5556308","-13821699","-3738528","-20474999","469842","-4673592","-5902866","-10368804","-1805976","-2721555","12607158","-2179152","-20073152","8982087","-6728130","-13328252","9031650","-2248965","-1223804","13184946","-8396100","157577","-4387836","-552285","4882380","-5351100","555579","-1062043","-10971516","-1638693","-2519720","-5216856","-13935402","21182227","13460226","-2222235","-13914264","11374344","-1348812","-860120","11980308","-3899583","2032598","8164476","-2445066","305060","15310878","3528117","-10786304","-3023874","-1705968","12381310","-13384800","-2921589","27506344","-14634648","4188114","-43157172","41802120","8650530","8718128","11497761","2953422","36330412","8433930","-11815164","60236","-22735140","-6368976","14623414","21940740","-177147","-9969656","13611678","14737392","-19954000","7214886","4391118","13803012","-2298609","-2832084","-11343374","11145840","-5020965","2183848","-34310904","9850086","-15534622","5497416","4571073","3250940","-7904019","-14012361","13567253","22709214","12128400","9219372","19992507","-513216","20449799","29347584","6985188","-24048320","743367","-285606","6788940","7043202","-4275828","21379392","-35414664","-2665044","-10711886","-1550784","13230675","40774899","-10306596","-68040","19574543","26228604","-2285343","-27263452","12096030","-4129488","38471501","-8350992","-5804298","20111460","-25401360","8339778","-22429119","14597112","7425243","-15038032","47050044","1023030","29422867","7651032","-11110923","24385844","-24939639","-517482","-13066734","9458286","-311526","30336520","-1169712","10321632","-41190453","14156520","26755110","35841764","-9482649","-131220","4777392","27700266","-10018800","-14767524","-33636261","14642802","2296194","14179290","-189783","-7264994","-19439550","-15683454","4915432","-1340652","17377254","18817612","11617047","7939296","-2549953","23843868","15609510","28691448","-46910304","-15114006","4223365","17511354","-2951721","4797988","27343578","14704884","-60560997","-4767408","17291421","48866676","-53901876","-970704","5519669","-12685578","3166110","-57165816","14264667","5387688","60359304","-39978840","111537","7105246","-41127516","-5556276","-41993511","-4698966","17071614","-21582696","-51369948","-4535838","10544604","13600998","19405665","3435541","-13998450","-5786208","-30032076","4591626","-15323256","-4608136","-27280290","12265020","-17711834","-39938028","-3950127","35260374","-3854760","9379800","-408540","-27199158","-37844955","-9294456","-7034661","12079584","-12440585","-31057674","1633689","41816916","-63446979","5114304","-60179913","1927170","35716923","-9712984","-112978110","-6621264","16435570","-32214948","9605340","9651700","-15567864","5186592","16206123","-54590676","332667","-76843536","-73951815","11984400","-42865204","-1454628","-10372509","12429768","-23316471","-4647375","281692","-17078346","-8538174","-35838260","24335556","16469352","-31334242","-31580376","-1816263","-11961908","-34147299","-13402458","-47578744","-47413068","7508916","32358400","-17299227","7001316","-10598606","17008320","4935744","-11303256","97603866","12679038","27997493","21103518","-12170655","963776","-68862339","4349880","21880386","-53844300","53746686","41428572","-59439264","-2248236","48601249","-4073700","20178819","-108672308","-24791118","24943896","73420798","-22197588","-1663578","81740428","-37215864","15650046","8824584","3068970","41850000","-15240668","51246663","4782969","33280736","-9207216","-23611158","-23153334","92583567","14635026","217059911","20012700","-25913034","-51629892","10899978","16162092","-61834559","54441912","52621326","50119452","5486844","-4705938","82717299","-25580532","21759588","57825808","-162649254","12562560","144650216","-39556044","-15039999","16268736","87646944","4130730","-14395928","-16147050","15210315","-4659840","155428203","5648616","-19068953","-36161292","-51747021","40344006","59690988","-26500986","102188606","-4435794","-3880224","-14874152","-28669314","246420","-61775290","-100833204","19471320","57426920","6560175","-14666022","-65310066","28446756","38941578","-64507416","91787829","-28529496","-28607004","95339676","-42412329","44557808","95881236","-1648944","-101101596","-20567382","4080861","41458436","10530921","24433650","-35941717","1833714","-22182750","-33722308","127616490","-3124926","67657134","95398938","-3070548","16693352","66462948","-3635496","5543081","-99400692","6700455","-17622336","135911622","-6618024","-45202044","-31060530","-42618060","14799292","74491722","44032950","-139090248","-21934452","28294191","38961880","-9362772","-36785448","-26401497","-71514966","61538022","-47267180","49973169","-5009688","611647","76655364","-40975200","213919","59351418","-33764418","43237380","-70207974","-42058278","48709632","149916675","51272640","-160860427","8517918","-40883400","-97754492","137454978","9594612","43448405","-3290550","-105105519","-35826080","42009444","28845828","31167391","-41138940","-36210159","96333352","-6463305","-45823077","-72915654","8171088","-6824412","98746868","-204575829","-810","155545657","-46096440","-32364729","-17376418","-20533758","-43547166","54627836","50556486","-27982908","14739056","241960473","25949376","9007580","-48489708","-3067929","29140238","-83653152","-3267378","-109723552","-44079540","-77709294","-162408080","93944673","2644650","156794030","79663944","-56908737","-88830262","283290942","-10507536","-14146690","30468516","7736499","-74814664","27094746","31587570","-7414436","22134216","-93715353","-18111118","-21119316","-24370092","-17620760","-18361032","-15410331","-35638676","159118920","78666696","-66652210","107114376","-3194235","8727375","33254406","-18839628","-33981660","-8168526","-51523164","-123318664","-34326774","37113552","90158114","-9904548","-1014039","-170405246","-94029678","24626034","-132092832","-56527518","-43105500","-41814984","-92304870","-21213900","-74174452","-9158424","-13921326","-137287114","-2713677","24588846","-31536461","-97715550","-19189305","-25312564","31578210","-1175040","98259787","119887512","-30689766","65080417","22855455","2050434","-227890020","-119228508","-61431291","-12343268","17590908","-62431614","10337248","-33383556","-7853517","40018440","-97371258","-53322732","130522582","-73964982","-33668811","-61953832","38565990","-11839608","-41370623","-137237436","49877262","-38359576","74510748","-30372300","14753759","-185786328","-10722132","18133096","-71445978","-39049992","19974188","79464600","35982603","-61410552","-172340085","-8982009","-127691388"],"space":"111.6.a","level":111,"weight":6,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,1],[37,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/111.6.a.c"}