{"label":"78.6.a.d","letter":"d","dim":1,"charpoly":["434","1"],"traces":["1","4","-9","16","4","-36","-146","64","81","16","-620","-144","169","-584","-36","256","-302","324","-2306","64","1314","-2480","-2592","-576","-3109","676","-729","-2336","1962","-144","5942","1024","5580","-1208","-584","1296","9322","-9224","-1521","256","-4256","5256","-5948","-9920","324","-10368","17140","-2304","4509","-12436","2718","2704","19750","-2916","-2480","-9344","20754","7848","31520","-576","-50270","23768","-11826","4096","676","22320","-26254","-4832","23328","-2336","56744","5184","38534","37288","27981","-36896","90520","-6084","-32608","1024","6561","-17024","-116424","21024","-1208","-23792","-17658","-39680","71236","1296","-24674","-41472","-53478","68560","-9224","-9216","-128786","18036","-50220","-49744","-73270","10872","-190424","10816","5256","79000","65868","-11664","-142706","-9920","-83898","-37376","-59610","83016","-10368","31392","13689","126080","44092","-2304","223349","-201080","38304","95072","-24936","-47304","-220932","16384","53532","2704","197348","89280","336676","-105016","-2916","-19328","-138464","93312","-225120","-9344","-154260","226976","-104780","20736","7848","154136","-40581","149152","225720","111924","212082","-147584","-24462","362080","23768","-24336","424178","-130432","-177750","4096","378432","26244","217250","-68096","22320","-465696","-416724","84096","28561","-4832","-186786","-95168","-56318","-70632","453914","-158720","-283680","284944","98556","5184","18578","-98696","452430","-165888","37288","-213912","187240","274240","106434","-36896","-76792","-36864","-3182","-515144","-6084","72144","-360036","-200880","-349868","-198976","236286","-293080","-286452","43488","-17024","-761696","-209952","43264","1429720","21024","-315852","316000","-510696","263472","-23792","-46656","-867532","-570824","-346806","-39680","-51038","-335592","577262","-149504","-251829","-238440","-1253372","332064","990574","-41472","-814680","125568","1062654","54756","68560","504320","293472","176368","1226304","-9216","-637778","893396","-59049","-804320","18036","153216","-389714","380288","1047816","-99744","-1432900","-189216","1607040","-883728","10872","65536","-637458","214128","-1361012","10816","158922","789392","327904","357120","79000","1346704","-641124","-420064","-1039774","-11664","-281242","-77312","222066","-553856","1927580","373248","-68282","-900480","481302","-37376","2236208","-617040","-1771120","907904","83016","-419120","621376","82944","-1328653","31392","1159074","616544","-800576","-162324","126080","596608","451980","902880","-438048","447696","868408","848328","659430","-590336","-201080","-97848","-2725562","1448320","1713816","95072","-945960","-97344","1942938","1696712","-47304","-521728","-2254884","-711000","-1216440","16384","-592812","1513728","696412","104976","-525421","869000","1284354","-272384","-2502440","89280","2883410","-1862784","755082","-1666896","-105016","336384","-366462","114244","536490","-19328","-3684040","-747144","1795508","-380672","93312","-225272","-165204","-282528","337554","1815656","-123201","-634880","-1838936","-1134720","226976","1139776","-396828","394224","3737004","20736","2841537","74312","-2010141","-394784","154136","1809720","-382796","-663552","-344736","149152","-2883500","-855648","-4587522","748960","224424","1096960","331578","425736","-5328090","-147584","1988388","-307168","5111124","-147456","362080","-12728","-481788","-2060576","-5101114","-24336","782784","288576","-1776132","-1440144","-130432","-803520","-4417710","-1399472","-3030084","-795904","2492796","945144","1004198","-1172320","26244","-1145808","-5779640","173952","3053630","-68096","1246176","-3046784","-4601920","-839808","-465696","173056","2026080","5718880","5008556","84096","4417870","-1263408","1388340","1264000","938918","-2042784","7339420","1053888","943020","-95168","900980","-186624","-2684850","-3470128","-70632","-2283296","5977152","-1387224","1033120","-158720","365229","-204152","6703324","-1342368","284944","2309048","-2031480","-598016","-3267276","-1007316","2638720","-953760","-1908738","-5013488","-98696","1328256","5405118","3962296","220158","-165888","-4146828","-3258720","637030","502272","-213912","4250616","8885524","219024","3833084","274240","-3817602","2017280","3687760","1173888","7169354","705472","1599750","4905216","1070488","-36864","1575418","-2551112","-3405888","3573584","-515144","-236196","4333990","-3217280","-1955250","72144","4604700","612864","-592524","-1558856","-200880","1521152","-8284624","4191264","3792906","-398976","3750516","-5731600","-5737984","-756864","-293080","6428160","-257049","-3534912","-5688588","43488","-5625964","262144","1681074","-2549832","-761696","856512","-10626800","-5444048","506862","43264","-7203778","635688","5560720","3157568","-4085226","1311616","-1794484","1428480","282121","316000","2553120","5386816","-719264","-2564496","263472","-1680256","-887004","-4159096","-2795580","-46656","-10298122","-1124968","-167202","-309248","-570824","888264","-10500544","-2215424","-4071870","7710320","-4524372","1492992","4760768","-273128","-335592","-3601920","-9021072","1925208","-1005212","-149504","-1685160","8944832","2870636","-2468160","-238440","-7084480","-957906","3631616","7323510","332064","-5538824","-1676480","691128","2485504","8058528","331776","5245218","-5314612","28638","125568","16997904","4636296","-12245000","2466176","54756","-3202304","-11454352","-649296","-13702252","504320","3240324","2386432","2203044","1807920","176368","3611520","3148812","-1752192","16981800","1790784","8421770","3473632","-2126574","3393312","893396","2637720","-8920852","-2361344","2578068","-804320","2896660","-391392","-5649326","-10902248","153216","5793280","-10635672","6855264","-7731298","380288","1889568","-3783840","-10400456","-389376","9615881","7771752","-12867480","6786848","-2815244","-189216","15614370","-2086912","2842668","-9019536","-883728","-2844000","762021","-4865760","4596264","65536","12435370","-2371248","-19272022","6054912","214128","2785648","-1723128","419904","-19542400","-2101684","7807788","3476000","-631262","5137416","789392","-1089536","3121254","-10009760","14211444","357120","13768810","11533640","459342","-7451136","1346704","3020328","-5085504","-6667584","-5195358","-420064","31167400","1345536","5840662","-1465848","2266461","456976","-5025674","2145960","18802756","-77312","11280348","-14736160","20751916","-2988576","-553856","7182032","-8915166","-1522688","3337750","373248","-17358470","-901088","7332120","-660816","-900480","-1130112","1285312","1350216","-9563886","7262624","-11160322","-492804","-21496532","-2539520","-617040","-7355744","10697420","-4538880","13813686","907904","-2641248","4559104","-15401664","-1587312","-419120","1576896","-11036736","14948016","10406736","82944","27801904","11366148","5740002","297248","-6099858","-8040564","-20332228","-1579136","531441","616544","1796296","7238880","11077798","-1531184","-162324","-2654208","16277480","-1378944","-12615866","596608","3507426","-11534000","-27683640","-3422592","902880","-18350088","-9430344","2995840","-9616728","897696","22623032","4387840","12896100","1326312","848328","1702944","-17320350","-21312360","-14463360","-590336","24603968","7953552","20835076","-1228672","-97848","20444496","5326880","-589824","3557162","1448320","5737122","-50912","-3571800","-1927152","-18473678","-8242304","12249108","-20404456","9814336","-97344","-35181280","3131136","-1430298","1154304","1696712","-7104528","11339614","-5760576","-2951136","-521728","8703060","-3214080","-8495630","-17670840","-711000","-5597888","-20174266","-12120336","-5176280","-3183616","5770116","9971184","-23891080","3780576","1513728","4016792","9357966","-4689280","-5658650","104976","30351174","-4583232","2531178","-23118560","869000","695808","13716088","12214520","-1998594","-272384","2097072","4984704","22682096","-12187136","-17348220","-18407680","-13276156","-3359232","34750498","-1862784","614538","692224","-1361718","8104320","-1666896","22875520","-4331718","20034224","-15024968","336384","-16661705","17671480","-20125872","-5053632","114244","5553360","-32608954","5056000","15940080","3755672","-24162624","-8171136","-372974","29357680","-747144","4215552","-13657890","3772080","-3694316","-380672","-5592384","3603920","-41445364","-746496","-225272","-10739400","11957877","-13880512","20216960","-282528","-4436926","-9133184","-10431666","23908608","3640656","-5548896","21028138","4132480","7205184","-634880","15802654","1460916","40263904","-816608","-1134720","26813296","-21010272","-5369472","32256072","1139776","-4067820","9236192","-39524840","-8125920","394224","-2392064","3942432","-13069104","11658204","-4029264","-5964500","10554880","-7815672","-3815040","74312","-7634952","-28239992","-20053952","-5934870","-394784","-20983912","5313024","72182880","21620472","1809720","15849184","-28812808","880632","31738376","-663552","24530058","-16587312","9589736","-13034880","-28982098","2548120","-15424344","2009088","-36480664","-855648","-10397754","17002464","8513640","35542096","748960","876096","-14627746","15332336","-17486442","1096960","38341120","-15270408","11031552","8069120","425736","14751040","-6836048","4695552","6512246","28677416","20293956","2821888","32451750","6399000","-307168","19620864","10947960","4281952","20215744","-147456","6678213","6301672","5335308","-10204448","-12728","-13623552","10464022","14294336","-6267708","-2060576","-39675548","-944784","32867520","17335960","4728789","-12869120","18649788","-7821000","-44166320","288576","-11559186","18418800","41194656","2451456","-1440144","-2370096","22521960","-6235424","15417216","-803520","-14824212","6084608","-25950690","-33138496","-1399472","16765056","-6530042","15171624","-6795738","-1595904"],"space":"78.6.a","level":78,"weight":6,"T":[[5,1],[7,3]],"status":"proven","derived":{"al":[[2,-1],[3,1],[13,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/78.6.a.d"}