{"label":"21.6.a","level":21,"weight":6,"dims":{"new":4,"cusp":12,"eisenstein":4,"modsym":28},"old":[[3,1,2],[7,3,2]],"T":[[2,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 3, 7, 21]: [1, 3, 5, 16] (certified at ell = 2147483647)","T = [(2, 1), (5, 1)]; h of degree 4 = 1 x 4 (phi(ord eps) x dim S_k^new); 1 primes, 0 rejected"],"newforms":[{"label":"21.6.a.a","letter":"a","dim":1,"charpoly":["-72","1"],"traces":["1","-6","-9","4","78","54","49","168","81","-468","444","-36","-442","-294","-702","-1136","-126","-486","2684","312","-441","-2664","4200","-1512","2959","2652","-729","196","-5442","4212","80","1440","-3996","756","3822","324","-5434","-16104","3978","13104","7962","2646","-11524","1776","6318","-25200","-13920","10224","2401","-17754","1134","-1768","-9594","4374","34632","8232","-24156","32652","27492","-2808","49478","-480","3969","27712","-34476","23976","-59356","-504","-37800","-22932","32040","13608","-61846","32604","-26631","10736","21756","-23868","-65776","-88608","6561","-47772","40188","-1764","-9828","69144","48978","74592","-7974","-37908","-21658","16800","-720","83520","209352","-12960","-143662","-14406","35964","11836","-2706","-6804","131768","-74256","-34398","57564","-128916","-2916","-100978","-207792","48906","-55664","220146","144936","327600","-21768","-35802","-164952","-6174","-117936","36085","-296868","-71658","320","-12948","-23814","-74320","-212352","103716","206856","-155316","-15984","131516","356136","-56862","-21168","-264246","226800","224612","15288","125280","-192240","-196248","-92016","-424476","371076","-21609","-21736","-82074","159786","-287032","450912","-10206","-130536","6240","15912","129878","394656","86346","112320","205800","-39366","555284","31848","-311688","-241128","43512","-74088","-175929","58968","217404","-46096","-18330","-293868","144991","-504384","-247428","47844","-153324","25272","-382066","129948","-445302","705600","-423852","4320","-55944","-55680","-35721","-1256112","-273408","-249408","153602","861972","310284","9604","154422","-215784","-366856","497112","534204","16236","-266658","4536","621036","-790608","340200","502112","1191696","206388","520244","-38376","-288360","773496","-898872","-122472","3920","605868","556614","138528","55692","-293436","304736","70560","239679","-1320876","288588","-96624","772190","-1965600","-195804","-914256","252234","214812","-1085760","109968","591984","37044","-1451136","797472","-146398","-216510","-59049","197912","187278","429948","-1186328","13440","-361692","77688","607860","15876","1864800","445920","88452","387328","95586","-622296","-266266","-137904","-440802","931896","-2200344","-671328","-748332","-789096","71766","-237424","1770246","341172","-223504","143136","194922","1585476","1313796","-151200","-342778","-1347672","6480","642096","480378","-751680","-29980","128160","-1884168","1177488","390138","116640","-1403981","2546856","1292958","-247384","-198066","129654","2144376","-912912","-323676","492444","-1856400","-106524","-564676","1722192","24354","-3049024","3859284","61236","-1045636","87024","-1185912","-37440","1837176","668304","-365494","-779268","309582","-263104","-28338","-518076","-2416248","2161536","1160244","-1234800","-338184","26244","-1307878","-3331704","908802","1337616","-682080","1870128","1933916","160752","-440154","-261072","-4629768","500976","-1888174","1055574","-1981314","-39312","35520","-1304424","117649","-1936032","-2948400","109980","2919372","195912","-780682","-869946","322218","639360","1334370","1484568","2499120","-31896","55566","919944","1017432","1061424","4727757","2292396","-324765","-86632","-4823988","2671812","837680","-4771200","644922","2543112","-470106","-2880","-1519930","335664","116532","-2338560","2405364","214326","2644652","837408","668880","1640448","2013360","1911168","1696968","-921612","-933444","-574648","-726234","-1861704","-529200","403368","1397844","-926532","-5130528","143856","4575782","2201136","-1183644","-3361424","-33870","-3205224","-35360","-10824","511758","1599948","-2412696","190512","-5861782","-3726216","2378214","527072","1347108","-2041200","3134664","-636480","-2021508","-7150176","302748","-137592","-5367082","-3121464","-1127520","-1611792","-372834","1730160","2424422","-515664","1766232","5393232","1177056","828144","-3662494","-23520","3820284","-403912","11272800","-3339684","-2536744","5818176","194481","-334152","6015036","195624","-621972","-1828416","738666","1357888","5659650","-1438074","3535128","880584","2583288","-1731528","-1689324","-4058208","-6461590","-4633140","91854","1310400","-3373530","1174824","-4549744","6182112","-56160","-1513404","2011356","-143208","-2908444","6514560","-1168902","4618656","-5116656","-3551904","7941956","-24696","-777114","8706816","-7604016","-1010880","2401828","878388","-1852200","144340","-11205636","354294","673112","8312304","-4997556","-1123668","-2471700","-286632","685692","7117968","2805192","-90880","1569960","2170152","6081524","-51792","-391608","-3647160","-846216","666792","-211068","-11188800","1583361","-297280","-7667850","-530712","-3030454","4471296","-1956636","-573516","10277904","414864","-6180480","1597596","164970","-5791968","-9689382","2644812","-7516780","-621264","-1304919","13202064","-10080","4539456","11203657","4489992","2226852","526064","-3519204","-430596","-10055448","-9971808","1379916","-10621476","1066044","-227448","7343246","1341024","3438594","-181440","-7876284","-1169532","2182964","-1056984","4007718","-7882776","-14606328","-6350400","-3223024","2056668","3814668","898448","12546558","-38880","5093608","-4341792","503496","-2882268","5159724","501120","17171388","179880","321489","5382720","11745210","11305008","-7547284","-784992","2460672","-2340828","12427800","2244672","9284834","8423886","-1382418","-1697904","1969212","-7757748","-4259736","-10390128","-2792556","1188396","1476228","-86436","214720","-12866256","-1389798","6173024","-12400686","1942056","-481572","-328296","3301704","11138400","-3691272","-4474008","9122234","3388056","-4807836","-1148128","2814630","-146124","-5679136","3864960","2399922","-23155704","6152640","-40824","-14010586","6273816","-5589324","3655008","-253686","7115472","4300340","24960","-3061800","-11023056","-390726","-4519008","-10256819","2192964","-10725264","519512","684684","-1857492","10415000","-11050368","-4682196","170028","-5796960","345384","-1061242","14497488","2595240","-16563456","4527138","-6961464","14968700","823200","8089848","2029104","-17301960","1102248","12206448","7847268","-35280","2221136","4074702","-5452812","-12114648","-9044832","-5009526","4092480","-3794748","-1246752","16426142","-11603496","-501228","6751584","10258248","2640924","-22856400","174048","-2742624","27778608","21968232","-635040","5506754","11329044","-2157111","-703716","18395742","11887884","-7039438","-1651104","-2597292","-213120","1758348","869616","-20611188","-705894","-6949710","13091264","4240548","17690400","-5363140","-73320","1762236","-17516232","17519736","8228304","-1003212","4684092","-2270106","579964","-21260610","-1933308","-14584856","12304128","9771840","-8006220","-132594","-989712","2077286","-14994720","-5327856","-1339632","336000","-333396","-15307344","-613296","13060224","-6104592","4236192","-7177248","6456632","-28366542","1317582","-1528264","-16102878","1948590","21452360","-3638544","531441","28943928","1452024","-1781208","-14889178","-5026080","-1685502","6048000","-26354064","-3869532","6993236","-1695408","10676952","2820636","1904280","-120960","-6401772","9119580","3255228","-223776","-6316884","-699192","19536128","15813120","-5470740","-14432184","-22388496","-142884","1251830","-15867912","-16783200","35171136","20447178","-4013280","-4947922","-1093632","-796068","-12080160","-12151464","-3485952","2210642","-10181808","-860274","614408","12915054","5600664","236720","-24135216","2396394","4357404","21370008","1241136","14225760","3175200","3967218","-2727536","10130484","-8387064","-13549924","617688","19803096","30783168","10787154","6041952","-21869276","-27454692","6734988","-1467424","-24595626","7101864","1753920","4260960","-645894","203220","-27459624","2136816","16052400","212160","-15932214","-454608","15523722","-3070548","-26626156","-1066632","2011536","14476176","43312152","-1288224","-30930416","35170692","-1754298","2484144","-12389082","-14269284","-3656296","22137024","-11824164","-8082648","28046268","1360800","21115334","-18807984","3085002","-12248704","-302526","12129048","3393936","4766784","-58320","-1816488","13394712","-5778864","9104215","32202492","-4323402","2080976","-13722462","6765120","1768165","10898784","269820","2237004","-22822800","-1153440","30151310","-14546532","16957512","-21657888","23989386","-10597392","-8875756","-3595488","-3511242","-7062336","-8712864","-1049760","-1429740","21974964","12635829","15680","-29204544","-22921704","26235352","-16964304","-11636622","-67636800","-634452","2226456","-29578834","15220464","1782594","-39341952","24566994","-1166886","14568212","222768","-19299384","-36090216","16171368","8216208","-3641680","3731832","2913084","1218944","-37361280","-4431996","-11959272","-10405248","16707600","-33957900","-435360","958716","1208844","-21210768","5082084","36984528","-29801148","-15499728","31444556","1154352","-219186","10135944","15142656","27441216","17843472","38769540","-34733556","3088760","-7610484","-551124","41487608","55036800","9410724","20241180","-14161680","-783216","-16079206","27298464","10673208","-7836480","-17849454","336960","6444284","1008936","-16534584","-12068136","-4363632","-6014736","29639882","17450664","3289446","-4343040","-32228202","7013412","33440400","-31230912","-2786238","30699936","48488484","2367936","27335932","-47651736","255042","-1037232","-20326374","4662684","-21325824","-5804544","21746232","45624096","-12948054","-19453824","-28622751","-14410968","-10442196","-585592","11980956","11113200","-3662920","6062280","3043656","67233816","1487412","-236196","11005988","-4038672","11770902","-56207008","40793010","29985336","-3540456","749112","-8179218","14830200","-9263256","-12038544","12044916","-4114152","6138720","-4745312","-48400800","-16831152","-52205056","115200","-17405244","-9419760","-28614768","-1446768","-18660946","-36489144","3961386","-2175264"]},{"label":"21.6.a.b","letter":"b","dim":1,"charpoly":["33","1"],"traces":["1","1","-9","-31","-34","-9","-49","-63","81","-34","-340","279","454","-49","306","929","-798","81","892","1054","441","-340","-3192","567","-1969","454","-729","1519","-8242","306","-2496","2945","3060","-798","1666","-2511","9798","892","-4086","2142","19834","441","-17236","10540","-2754","-3192","8928","-8361","2401","-1969","7182","-14074","150","-729","11560","3087","-8028","-8242","-42396","-9486","14758","-2496","-3969","-26783","-15436","3060","-1676","24738","28728","1666","14568","-5103","78378","9798","17721","-27652","16660","-4086","-2272","-31586","6561","19834","-37764","-13671","27132","-17236","74178","21420","-117286","-2754","-22246","98952","22464","8928","-30328","-26505","10002","2401","-27540","61039","-108770","7182","-199192","-28602","-14994","150","-79972","22599","-46098","11560","-88182","-45521","262706","-8028","108528","255502","36774","-42396","39102","-19278","-45451","14758","-178506","77376","173196","-3969","196608","-121023","155124","-15436","-77140","-94860","-43708","-1676","24786","50274","208170","28728","-275580","-51646","-80352","14568","-154360","75249","280228","78378","-21609","-303738","-296106","17721","-426472","-56196","-64638","16660","84864","126666","178486","-2272","-1350","-100130","156408","6561","252772","-614854","-104040","-37764","508088","-27783","-165177","27132","72252","534316","-221834","74178","96481","-315860","381564","-117286","-113564","85374","663118","-22246","-132822","201096","-333132","22464","271320","-276768","35721","-30328","505664","241047","-432382","10002","138924","-74431","-131962","-27540","298536","124047","15084","-108770","403858","-222642","-674356","-199192","-258552","421766","-303280","-14994","-1170620","-4650","-131112","-79972","586024","45927","122304","-46098","-705402","-358360","-362292","-88182","399376","-144305","-159489","262706","707916","248868","-735778","108528","-149940","519246","-208758","36774","-303552","1314276","20448","39102","713376","284274","-505246","-45451","-59049","-457498","-81634","-178506","404968","157248","339876","173196","317108","123039","1085280","196608","-244188","736033","-1442846","155124","-480102","478516","-667602","-77140","271496","-192780","-5100","-43708","1055574","51956","850614","24786","-540128","-741342","200214","208170","669460","-890568","513574","-275580","-202176","-104958","-1356422","-80352","286756","-451608","272952","-154360","-971866","238545","-783053","280228","-90018","-2429718","-1707266","-21609","1441464","-617274","247860","-296106","-1449168","-549351","844564","-426472","978930","828668","-501772","-64638","-546788","-516460","1792728","84864","3234264","257418","1813130","178486","134946","70432","-1276578","-1350","2802280","910622","719748","156408","-711816","-203391","-893926","252772","414882","-1249542","-437472","-104040","-1736212","1170684","793638","508088","56984","409689","2072146","-165177","-2364354","-841092","848640","72252","-117649","1085868","-976752","-221834","-1651460","-2299518","1266454","96481","-330966","-1001300","573218","381564","-495312","3635866","-351918","-113564","4463224","173502","-1680435","663118","409059","689626","-2664852","-132822","-4507968","-2965368","1606554","-333132","-7350","-696384","1665350","271320","-1558764","-562464","-3741868","35721","-2532324","940168","-1769472","505664","796368","1089207","-566440","-432382","-1396116","-310062","1947990","138924","2547216","-151263","694260","-131962","77248","853740","1081158","298536","393372","-1829201","2767698","15084","-1133184","3371870","-223074","403858","-3331320","-452466","2363498","-674356","-1873530","6174952","2077404","-258552","1283976","1337030","2480220","-303280","-2986692","464814","-3463306","-1170620","723168","-9450","1571262","-131112","-723142","2479132","1389240","586024","2336928","-677241","-3508382","122304","-2522052","1429038","-2847264","-705402","3548328","-728280","194481","-362292","1768332","2733642","3987724","399376","2664954","1312367","-5525790","-159489","-6743560","-8143886","3838248","707916","756364","505764","-2962262","-735778","581742","-3364368","2118838","-149940","3192256","-7656818","-763776","-208758","-7426212","-1139994","82124","-303552","-1606374","2670948","5860240","20448","-1756348","-1212162","12150","713376","-3396848","901170","4448292","-505246","-1407672","1408981","-340068","-59049","-3713816","-929754","-2274948","-81634","5574940","5533686","6577116","404968","936360","-2318784","-713832","339876","3926980","-5369076","-4572792","317108","6420792","250047","3698180","1085280","1486593","-6094848","146278","-244188","-3840522","4608769","-650268","-1442846","6772528","-4808844","-3035520","-480102","1996506","972468","7709370","-667602","-569420","2391340","-868329","271496","1991808","2842740","3752521","-5100","-3434076","1354948","9004636","1055574","2719048","105588","1022076","850614","-816340","-768366","-9448018","-540128","-5968062","-2350110","1567332","200214","-1353212","-6453270","1195398","669460","-7351864","-1809864","111328","513574","2998188","8542980","8193902","-202176","-7825144","1547714","-2441880","-1356422","-10579636","2490912","-8932004","286756","-321489","-917784","-12020518","272952","-2489476","4785160","-4550976","-971866","6285048","-2169423","8213218","-783053","3891438","-8687068","1850436","-90018","-51000","-4937814","-1250316","-1707266","-1218268","669879","-2226432","1441464","1187658","9102342","-8423790","247860","-1329468","9179286","-2686824","-1449168","8212536","-1116423","3254778","844564","-135756","13220632","1545334","978930","7821008","2626940","-3634722","-501772","4053312","2003778","-9516698","-546788","6069204","-1049580","-7048950","1792728","-6321740","-2630784","2326968","3234264","5747014","-3795894","264461","1813130","2729520","-5533066","-7818804","134946","8612360","143136","10535580","-1276578","-6684672","41850","1090054","2802280","1180008","4114782","-5228286","719748","16137308","-4848648","-5274216","-711816","-15874856","-413343","14414640","-893926","-1100736","-7835932","-5941122","414882","2622760","18425786","6348618","-437472","-7644300","3225240","-7586882","-1736212","3260628","2379132","1486072","793638","26308464","-15750728","-3594384","56984","-5017720","1298745","-20668094","2072146","1435401","5120487","7895406","-2364354","-490098","-1709316","-6371244","848640","-19601508","-2239812","-7077780","-117649","6622002","-16012244","68100","-976752","-17270980","6876854","1349460","-1651460","9369720","-4673214","-15827532","1266454","1878822","-2990911","-5363442","-330966","8739816","9106220","2731968","573218","5329730","-11828484","-17373306","-495312","-184032","7389018","7967232","-351918","5248240","3520484","-6420384","4463224","424608","-2558466","9760408","-1680435","4547214","-20556658","16228498","409059","21829016","1401498","531441","-2664852","13754328","4117482","21767526","-4507968","734706","-9400440","569840","1606554","6217860","10327092","-3644712","-7350","3776472","-1415232","10067604","1665350","-3058884","-8410920","3918628","-1558764","-2887952","8294112","-2853972","-3741868","14500048","-1107351","1255190","-2532324","-9767520","1910664","-14262294","-1769472","2258802","-15675584","2197692","796368","-19247784","-6624297","-20226094","-566440","12985614","13403842","26228830","-1396116","4914624","-630126","4320918","1947990","17691928","-4306644","-4953120","2547216","6008418","2230529","-6068524","694260","-9928292","4090822","-2443464","77248","-12872594","1735020","6700132","1081158","45900","-9254616","10903334","393372","-7124544","-5798705","-9500166","2767698","-26648520","-467604","-5317872","-1133184","-7655526","6852510","6063978","-223074","-8594380","-12519598","4861152","-3331320","-8594248","6672078","-15374512","2363498","-1801926","20905036","-2013962","-1873530","-26467896","12549096","-6025140","2077404","-3902292","8015112","-19559482","1283976","-4622166","-12159482","-1915998","2480220","-17274992","9401680","1819584","-2986692","-24544840","944622","47419415","-3463306","12207798","36289220","5616018","723168","2227099","139350","-2580804","1571262","-31275216","4064472","33830510","-723142","-2456568","5038236","31800938","1389240","638420","-18166744","8746794","2336928","-4222560","-2146905","7542356","-3508382","7047477","-3791424","772480","-2522052","-760904","2904174","810162","-2847264","-8486604","21867462","-24504338","3548328","15365394","10739240","-27762990","194481","33016964","11231052","-12973176","1768332","4344616","5555466","-9633792","3987724","-2230740","-12380656","7963776","2664954","3861176","5930127","13042512","-5525790","20572032","4944159","-119700","-6743560","-7601076","-16550478","-22546012","3838248","19649948","-21945396","-8810370","756364","-7265184","-7458012","12839760","-2962262","4515948","22809118","3779860","581742","9825320","-6837264","4921092","2118838","6613872","4648140","-19292262","3192256","-16134552","-24272690","27115186","-763776","2141692","6471498","-29108376","-7426212","-9224880","-2316762","-45352182","82124","-16318170","9410112","46578022","-1606374","-63310128","-39385884","-1214514","5860240","25379860","-633888","35583612","-1756348","11489202","-2463426","15294778","12150","-17192576","-22114656","-25220520","-3396848","-10200330","-8195598","-22399135","4448292","-6477732","15662626","14700988","-1407672","-5714648","2863413","6406344","-340068","13024980","1830519","13503420","-3713816","8045334","13710182","-17035950","-2274948","39877240","2530654","-3733938","5574940","-13698456","11245878","4486708","6577116","3937248","-12554008","55017312","936360","-34908784","-7350720","15625908","-713832","-10150224","-10536156","875662","3926980","-7142742","-10911348"]},{"label":"21.6.a.c","letter":"c","dim":1,"charpoly":["-99","1"],"traces":["1","5","9","-7","94","45","-49","-195","81","470","52","-63","-770","-245","846","-751","-2022","405","1732","-658","-441","260","-576","-1755","5711","-3850","729","343","5518","4230","6336","2485","468","-10110","-4606","-567","-7338","8660","-6930","-18330","-3262","-2205","5420","-364","7614","-2880","864","-6759","2401","28555","-18198","5390","4182","3645","4888","9555","15588","27590","-11220","-5922","-45602","31680","-3969","36457","-72380","2340","1396","14154","-5184","-23030","18720","-15795","46362","-36690","51399","-12124","-2548","-34650","97424","-70594","6561","-16310","-81228","3087","-190068","27100","49662","-10140","-3182","38070","37730","4032","57024","4320","162808","22365","4914","12005","4212","-39977","-166354","-90990","157160","150150","-41454","20910","-6764","-5103","178398","24440","-66042","36799","-45134","77940","-54144","-38626","-62370","-56100","99078","-164970","-158347","-228010","-29358","-44352","243084","-19845","-205056","102765","48780","-361900","72964","-3276","-84868","6980","68526","394290","-94182","-25920","-47796","32242","7776","93600","-40040","-60831","518692","231810","21609","51366","-124266","256995","-446296","-337740","-163782","-12740","595584","48510","-159746","487120","37638","233590","28224","32805","247252","22834","43992","-406140","-684488","85995","221607","-950340","140292","-37940","-610474","248310","-279839","-39052","-100980","-15910","662252","-53298","154630","188650","-410418","112320","-689772","285120","-105144","-6048","-35721","814040","486904","328113","620546","24570","-651420","-16807","-236570","21060","82104","-1113645","12564","-831770","-270382","127386","-306628","785800","-46656","578270","90064","-207270","99892","-29274","168480","-33820","509480","-142155","-310464","891990","417258","-34216","1556940","-330210","-186704","-121765","462591","-225670","336372","-109116","-926314","-270720","-22932","-1076010","1257114","-311850","81216","78540","876816","495390","-347016","-635346","99170","-791735","59049","319214","225694","-146790","-1333640","-1235520","-731052","1215420","344428","27783","-29952","-1025280","-1710612","-652799","295130","243900","359562","506660","446958","364820","-1272464","-91260","393108","-424340","-28638","-9772","276774","342630","-1289936","1518522","339570","-470910","296972","36288","1716550","-238980","513216","898170","-1472182","38880","1028812","-131040","1465272","-200200","159838","201285","2668627","2593460","44226","-324534","-1186066","108045","-1054680","1430910","37908","-621330","443520","-359793","-265580","-2231480","-1497186","-1300732","-4286588","-818910","1518916","17836","1414440","2977920","212808","1351350","-1894","-798730","-373086","-681968","-1578978","188190","286936","3426958","-60876","141120","-3502104","-45927","-4397470","1236260","1605582","636090","-42336","219960","-3394708","568596","-594378","-3422440","131224","331191","2027314","1108035","-406206","1330476","329472","701460","-117649","-1056900","-487296","-3052370","3488852","-347634","965566","-1399195","-561330","129220","1153930","-504900","1759680","22274","891702","3311260","1611104","-1484730","523725","773150","-1425123","-264110","4358028","-2052090","3677472","432576","-264222","-3448860","-204918","-399168","649766","-525720","2187756","-168480","-4248860","-178605","320700","-1139656","-1845504","2434520","-2361888","924885","-239512","3102730","439020","-34398","-3533898","-3257100","1164672","-468195","656676","-1182850","9157856","-29484","4048110","410520","-763812","-4288961","2076450","62820","-4878720","1164478","616734","-1351910","-381576","3548610","2574314","-1533140","-847638","-1100120","549780","-233280","-7635432","-1913450","-430164","450320","848148","290178","1436822","499460","69984","-815490","-11547642","842400","2234498","47348","-360360","2547400","2354376","-547479","-3788078","-1552320","4668228","-1248786","-997632","2086290","-3643224","-953160","194481","7784700","2483892","462294","-299108","-933520","-1118394","-1786393","-2631774","2312955","-169624","315938","-4016664","1681860","3546620","-3039660","-1161302","-4631570","-1474038","379008","2813846","-114660","6842992","-4144018","5360256","6285570","3343140","436590","-68404","406080","-1437714","2187900","281840","4384080","9891452","-693546","338742","-1735080","-4282480","2102310","5650260","495850","254016","1108429","461916","295245","-8931752","8892390","2225268","1128470","2753060","205506","-11157396","-6668200","395928","-4758336","-917280","-3655260","4804084","-1701588","-6160392","1722140","-6024648","773955","-15637276","-149760","1994463","1435392","-8429866","-8553060","-2271738","-6552475","1262628","1475650","14773040","-341460","44928","1797810","-5494266","14114100","9250578","2234790","5844940","-510748","-2518551","-6362320","-12811392","-351468","-6104567","1965540","-908820","594076","2511740","-143190","-635816","-272220","5960268","1383870","124852","-479682","9225326","-6449680","1391670","-5024670","16769412","1697850","-6443372","659274","-3693762","1484860","9557176","1010880","-4773776","8582750","-6207948","334572","3742126","2566080","-4173400","3459106","-946296","-7360910","-14638364","-54432","-4242596","5144060","-321489","-3650400","14180458","7326360","-1251604","280280","4382136","799190","-3289536","2953017","5943778","13343135","5584914","-3630844","3980172","221130","217464","-9040590","-5862780","-5930330","-6461924","-151263","10973952","-5273400","-2129130","5510838","-2346054","189540","9313332","869862","738936","2217600","-13495920","-10022805","3878490","-1327900","113076","3124072","-14884618","-7485930","-533488","4304020","-2433438","-21432940","-665280","1146474","5146102","7594580","-2759652","496860","-2378598","7072200","16002316","-4169088","-419904","1064040","155918","5204430","5003021","-9470","810576","1118222","14837436","-1865430","12345944","-18997680","899028","-7894890","-19275264","-263466","-1848770","1434680","1516320","9659910","-3437550","-304380","-16219084","-197568","4585320","-17510520","11992856","-1279395","-583440","-21987350","-2794176","-1730764","1580094","8027910","6858616","2449762","3755322","-211680","6983580","-307944","3696022","-16973540","14012460","15839460","-7977592","-2971890","-3178368","4791416","-1680336","656120","-2371304","-1095885","1846882","10136570","4163319","-1551249","-7685010","-2031030","-240786","37063260","3027348","1647360","7121796","-982044","-8853108","-588245","-8336826","-4070420","-3220140","-2436480","-3237868","4273318","-206388","17444260","-4492824","-9684090","6595764","4827830","11314026","1958873","-7391634","-2806650","-12709416","1895764","730944","5769650","8151346","706860","-5333610","8798400","7891344","620490","-3649536","4458510","-3763760","-4635764","-3123144","8055520","-11456400","-5718114","-7700840","2618625","892530","-1082410","31513298","-7125615","-24953992","-7357350","531441","21790140","-10959240","2872926","-14339826","18387360","2031246","-1431360","72592","-1321110","922932","4828404","-12002760","-1024590","-9389952","-11119680","-11681004","3248830","-6579468","736008","331436","10938780","-408032","-648864","3099852","-21244300","-41951824","250047","25960454","1603500","-269568","-31747560","18355410","-9227520","-8741502","-3408328","-15395508","-11809440","8639400","-5875191","-747166","-1197560","2656170","-4343822","20269166","2195100","36184896","-958230","3236058","-17669490","-5649784","4559940","973440","5823360","4022622","-1803151","-15016124","3283380","-4699820","1655990","-11452176","45789280","2211566","-821340","35113540","20240550","3537972","-574728","584710","-3819060","-1747008","14191835","-257742","10382250","2410824","-87948","2653056","-24393600","2490966","32439030","-16401270","3083670","-304948","1892674","-11609424","-1907880","23241688","13666698","9387440","12871570","3056130","2146396","34342838","-4238190","15668376","-30646200","2672748","2748900","-29688636","326592","-23070802","-38177160","15448950","-28071890","-4854822","-2150820","-64341872","-630448","4618944","4240740","23264248","8083530","9937175","7184110","-13249638","-699244","20831058","349920","7759003","-3140682","9259308","-57738210","4226688","-1179360","19151510","11172490","13187448","1318980","-5346830","-1801800","39585836","-3566360","1438542","11771880","-25028376","1811565","-57384556","-18940390","24017643","2173248","5066048","23341140","-1074920","-34787610","398034","-4988160","-11911116","-2920806","-5025890","-18216120","-10674594","-3670888","-26049030","972405","-6824620","-10898580","-9492120","12419460","23383496","12878190","10047744","-1495540","341172","1306928","1496448","-5591970","62251688","-5035485","3991680","-13158870","34962048","-3238137","-8456004","-848120","-2390220","8801130","14535220","-20083320","39595916","-2354604","-13474674","17733100","-4675704","-11706588","-4223856","-5806510","-38579292","6484198","-3575236","-7370190","-4925944","10558080","13670244","14069230","-14414400","160524","-41907318","34214960","12729960","13712230","-32368774","26801280","4158532","-8799798","1915272","16715700","-9883536","12162150","-33233718","-342020","-17046","-568512","-26642650","-7188570","1878912","8426220","-3357774","1409200","31466300","-6137712","-35698740","49457260","-14210802","-19320210","-13451590","1693710","45768976","2429112","2582424","-21412400","4614918","30842622","11515745","28251300","-547884","-694190","58331324","1270080","-28496312","30877665","-31518936","2309580","18185772","-413343","2342004","-44658760","-39577230","34247102","32094114","11126340","-165464","-1579858","14450238","13765300","15615384","5724810","-22237580","-55786980","-381024","9335480","-3121920","1979640","48449936","15744960","-30552372","-4586400","7717776","5117364","-45433562","24020420","-5349402","-47401380"]},{"label":"21.6.a.d","letter":"d","dim":1,"charpoly":["96","1"],"traces":["1","10","9","68","-106","90","-49","360","81","-1060","92","612","670","-490","-954","1424","-222","810","-908","-7208","-441","920","-1176","3240","8111","6700","729","-3332","1118","-9540","3696","2720","828","-2220","5194","5508","4182","-9080","6030","-38160","-6662","-4410","-3700","6256","-8586","-11760","-7056","12816","2401","81110","-1998","45560","-37578","7290","-9752","-17640","-8172","11180","32700","-64872","-10802","36960","-3969","-18368","-71020","8280","64996","-15096","-10584","51940","-61320","29160","38922","41820","72999","-61744","-4508","60300","-88096","-150944","6561","-66620","71892","-29988","23532","-37000","10062","33120","111818","-85860","-32830","-79968","33264","-70560","96248","24480","-150846","24010","7452","551548","-137354","-19980","28760","241200","46746","-375780","22556","49572","19998","-97520","37638","-69776","17906","-81720","124656","76024","54270","327000","10878","-343440","-152587","-108020","-59958","251328","-528516","-39690","66864","-270720","-33300","-710200","153764","56304","44492","649960","-77274","-79920","255978","-105840","282924","353192","-63504","-613200","61640","115344","-118508","389220","21609","284376","408054","729990","362504","-326880","-17982","-45080","-391776","410040","-152786","-880960","-338202","-288320","57624","65610","-150428","-453016","-87768","718920","-7288","-158760","77607","235320","-73548","-251600","-289154","100620","-397439","131008","294300","1118180","199492","-583848","240550","-328300","-97218","-423360","-443292","332640","-20424","-479808","-35721","962480","290384","-165312","-171454","-1508460","-639180","163268","401990","74520","-259176","2919960","584964","-1373540","-54782","-135864","706172","287600","-95256","954080","-83536","467460","-1191788","-2555304","-551880","225560","392200","262440","-181104","199980","350298","-663136","-148740","376380","-218384","-133280","656991","179060","582852","-555696","961046","1246560","-40572","402480","605994","542700","747936","2223600","-792864","108780","1170144","-1358496","-1236910","-1525870","59049","-734536","-254506","-599580","-608360","1330560","647028","-5285160","959708","-269892","-108192","668640","211788","-2119424","-1212590","-333000","-204918","-4829360","90558","1537640","-1252744","298080","3983268","444920","1006362","4419728","-136866","-772740","-960896","-316128","-295470","2559780","746212","-719712","905830","2829240","299376","1869840","-33062","-635040","-863588","-4169760","866232","616400","326438","220320","-1370573","-1185080","-1357614","2646696","-1337546","216090","-3466200","1505520","67068","4080540","-787920","4963932","181300","3625040","-1236186","-1292992","1145012","-179820","-1328204","-306544","258840","-3917760","-665832","2170800","-3090214","-1527860","420714","-5990528","-974178","-3382020","102856","1947008","203004","576240","201576","446148","5434370","-1504280","179982","-2398320","345744","-877680","781772","4888656","338742","-72880","-6889576","-627984","348754","776070","161154","1600176","340032","-735480","-117649","-1332000","1121904","-2891540","2506252","684216","3058606","-3974390","488430","250240","-3492910","2943000","6499920","7603624","97902","1994920","2120344","-3090960","-1651635","2405500","-1373283","-2232440","-4125732","-972180","746592","-1674624","-539622","-4432920","1841322","2261952","-939034","-204240","-4756644","-2540160","749060","-357210","5165340","6544864","601776","2903840","400512","-2436480","477848","-1714540","-299700","-10257528","306822","-6391800","261072","864360","1383876","4019900","9338176","506736","-3834210","-2591760","400428","11550064","-3293550","5849640","2476320","-9340072","-695466","-547820","384744","-719280","-1354726","7061720","2303802","1955680","-1602300","-952560","-7620552","1822400","2546316","-835360","5081988","3178728","628022","-11917880","-571536","-13528080","-1800642","-5518800","529298","1533808","554760","3922000","-3000864","1038096","1214962","-1811040","-1066572","1359864","1067808","3502980","4006536","-3510720","194481","-1487400","-5447508","2559384","-11852708","-2183840","3672486","900032","-1815774","6569910","-612904","1217608","3262536","5828520","3479980","-2941920","-5300822","9610460","-161838","8476608","3203806","-405720","-1118528","1592032","-3525984","6059940","-3851340","3690360","-3184804","7479360","-1375074","11772000","-340400","-7928640","-7364788","739704","-3043818","11701440","1435360","-2594880","2801940","-12369100","518616","-10375916","15989676","590490","4610968","-3888720","-1353852","-2545060","7405180","-4077144","-248196","-6083600","-789912","5263104","3004680","6470280","3934324","-35939088","-65592","9597080","3409752","-1428840","14559524","-1081920","698463","4546752","-7723826","2117880","-1907178","-12531200","-661932","-12125900","-3048560","-2264400","-649152","-2049180","-2602386","-25567200","-4776582","905580","-9287540","10455952","-3576951","-12527440","-820512","1179072","-5053367","39832680","2648700","3025456","-4463540","10063620","-2390936","23398560","1795428","-1368660","220892","-5254632","7729166","-9608960","2164950","-603840","-2119788","-2954700","-8603612","17406504","-874962","7462120","-1015144","-3810240","4316704","9058300","-3989628","19238832","-1777234","2993760","-2479000","7396256","-183816","-330620","2688596","-4318272","-1898036","-8635880","-321489","-22075200","5326298","8662320","13399196","4191520","2613456","3264380","-9538536","-1487808","-1105022","-13705730","-1543086","-8058544","-3522708","-13576140","-3457176","14011920","-5752620","-13375460","5972876","1469412","-3355968","-34662000","3617910","5955168","-11194494","670680","-1153068","27747672","-2332584","-7879200","10905480","26279640","7397370","1813000","5264676","24650272","16174222","-12361860","7133552","-2469760","-493038","11450120","-4727520","-1222776","-17126378","-13282040","6355548","-1622880","2299242","2588400","-1851764","-26640768","-857304","-6658320","-5479082","8586720","30675821","-30902140","-751824","-10389448","-928404","4207140","9259784","-31714560","-10726092","-9741780","-7087584","-22997736","1608670","1028560","-4966920","28696320","17941890","2030040","6700196","3918432","3529800","2015760","-11254904","2361960","3008400","54343700","-1629936","-10229104","13170414","1799820","-16298984","-9486688","3152682","3457440","-14345340","-5968224","-14138","7817720","-1338660","25881120","-4716152","3387420","-1314768","-495584","-1965456","-68895760","-993784","-1199520","13778722","3487540","5912919","5277276","12615510","1611540","7391454","8471520","5245668","3400320","-1086564","-5001264","-27133668","-1176490","8649414","-5268800","-25177260","11219040","19122932","-19662472","-365148","25062520","-29989944","3622320","1478964","30586060","5453946","-27025852","11499966","4884300","-3797256","-1689856","6731424","-34929100","6730346","20012400","6975510","64999200","-7135776","40254480","-4346496","979020","-6533840","13565456","10531296","21203440","-1442640","-12226464","-1409240","-16516350","-11132190","16357400","9068098","-13732830","-19033432","-11818800","531441","-41257320","821400","-6610824","5455854","7465920","-2290554","-3198720","5979632","-5396220","7851972","-30143856","-5475240","18413220","-14869512","11975040","-43253724","-9390340","5823252","-1388832","-1105244","-47566440","-25130912","-10047744","8637372","7490600","-38425424","-2429028","-19787386","51653400","-973728","34649280","-14964150","6017760","-979902","19746112","1906092","4005120","21909000","-19074816","5064194","4778480","-10913310","-11658872","26302486","-2997000","29978256","-54304560","-1844262","3068220","6049096","-43464240","-5641440","2610720","815022","3419024","16195316","13838760","10052500","27335320","-11274696","93381760","-877394","2682720","-7237340","-38342100","35849412","-17623968","27851630","4004280","1566432","22061920","9057258","-32935500","3580824","39777552","-6108144","24763200","-1231794","-49447440","-19693590","-6954660","5056172","-3725176","-8648064","3847440","15945368","-2845152","3359600","-13547260","-2659230","48019696","-2823242","23038020","25474056","10353600","6715908","-16023000","-17561556","-6477408","9147278","-76205520","8152470","-12306560","-533022","25463160","772528","-5680448","2694384","50819880","-10989112","16828560","-19261225","6280220","-297558","-81041584","-8226342","-5715360","7476763","-53511072","-7772292","-18006420","-4918032","-37527840","-13485370","5292980","7796088","8120160","10703210","5547600","-13374724","26669600","2937942","-30008640","19976784","1982880","30650324","12149620","-12335157","-12315072","-8104832","-10665720","43547320","7199280","-12218526","10678080","25897284","23820264","8811070","40065360","-12037914","-13886848","40107810","1944810","14966420","-10114320","-31195800","-54475080","-575144","13549680","-3276336","-118527080","603612","-14850112","6406848","36724860","-21146152","13265280","-7091280","-18157740","4132128","44675388","8342316","-6129040","1631700","6446160","-25498300","32625360","-33336724","39633936","-11125674","34799800","21745056","-11636928","6614064","-53008220","10305108","65351128","-7534436","-1618380","-4039864","44876160","-11953836","32038060","-41084400","-2758896","33920202","-11185280","2329560","3040960","7696786","-35259840","-2180108","41207592","-5992488","-38513400","2164944","19537200","-453558","-31848040","-27811926","50859648","-24385250","-13750740","7834512","46564800","3786426","-3404000","-21874460","-53914752","26077740","-73647880","-8767602","3916080","-39331910","-30438180","-30780704","79569792","925704","14353600","-12542922","17523072","-14968735","28019400","1827036","-84109880","18174124","5186160","38523448","-54931320","1814184","159896760","24354252","4015332","-13863276","46109680","48909330","-15382048","16253394","-13538520","10287256","-17306408","1619838","74051800","-252456","-21584880","-42610940","-2481960","3111696","-41368480","4351200","-7899120","-24972784","10053120","7035948","30046800","27472656","43997904","-36098282","39343240","3048678","-190265760"]}],"seconds":0.111,"computed":"atlas","estimate":{"seconds":0.32,"low":0.195,"high":0.554,"bytes":1842682}}