{"label":"78.6.a.h","letter":"h","dim":2,"charpoly":["31980","-424","1"],"traces":["2","8","18","32","10","72","138","128","162","40","544","288","338","552","90","512","1228","648","-522","160","1242","2176","-1632","1152","282","1352","1458","2208","2208","360","874","2048","4896","4912","-5792","2592","-2160","-2088","3042","640","-12638","4968","-17760","8704","810","-6528","4300","4608","-17610","1128","11052","5408","-12020","5832","-49136","8832","-4698","8832","-27532","1440","-38016","3496","11178","8192","1690","19584","-90974","19648","-14688","-23168","-4384","10368","-95312","-8640","2538","-8352","89392","12168","-62168","2560","13122","-50552","137892","19872","-123500","-71040","19872","34816","142534","3240","23322","-26112","7866","17200","185368","18432","4896","-70440","44064","4512","253136","44208","98736","21632","-52128","-48080","203640","23328","-3060","-196544","-19440","35328","18624","-18792","302976","35328","27378","-110128","214372","5760","240714","-152064","-113742","13984","34980","44712","259868","32768","-159840","6760","-161224","78336","-223996","-363896","7290","78592","-428126","-58752","170708","-92672","38700","-17536","91936","41472","-416772","-381248","-158490","-34560","-560946","10152","-120490","-33408","99468","357568","-209536","48672","-669584","-248672","-108180","10240","-423744","52488","130978","-202208","-442224","551568","-42228","79488","57122","-494000","-42282","-284160","-236720","79488","-45362","139264","-247788","570136","1054752","12960","83128","93288","-342144","-104448","-231188","31464","1371136","68800","100602","741472","1204496","73728","32196","19584","15210","-281760","-303822","176256","770508","18048","-818766","1012544","580164","176832","1032268","394944","-132192","86528","-1645808","-208512","-370816","-192320","-39456","814560","974248","93312","274212","-12240","-857808","-786176","207532","-77760","353554","141312","22842","74496","-1099208","-75168","-547500","1211904","804528","141312","-301944","109512","-2636120","-440512","-559512","857488","1143168","23040","416064","962856","118098","-608256","-982566","-454968","-88218","55936","1241028","139920","734336","178848","-2932992","1039472","-1111500","131072","1056816","-639360","71348","27040","178848","-644896","1170424","313344","43612","-895984","1282806","-1455584","2623640","29160","-425222","314368","209898","-1712504","-441856","-235008","2762124","682832","70794","-370688","-1560286","154800","-1943444","-70144","1668312","367744","-1967480","165888","507078","-1667088","44064","-1524992","-15050","-633960","1508768","-138240","396576","-2243784","-275808","40608","-2288488","-481960","2278224","-133632","-4299668","397872","-2810034","1430272","888624","-838144","2404008","194688","-2985484","-2678336","-469152","-994688","-1711830","-432720","4023072","40960","1832760","-1694976","-4080068","209952","47658","523912","-27540","-808832","2954320","-1768896","-1422662","2206272","-174960","-168912","1353608","317952","1304612","228488","167616","-1976000","1948976","-169128","-2639940","-1136640","2726784","-946880","6928368","317952","2413616","-181448","246402","557056","-6077870","-991152","3685784","2280544","1929348","4219008","-495732","51840","635406","332512","2166426","373152","-48748","-1368576","6476316","-417792","-1023678","-924752","-933092","125856","4437524","5484544","314820","275200","373152","402408","-384010","2965888","2338812","4817984","-4099668","294912","-4894208","128784","-1438560","78336","1743092","60840","-7224768","-1127040","-1451016","-1215288","-3966688","705024","8352752","3082032","-2015964","72192","-2395242","-3275064","147706","4050176","65610","2320656","1175584","707328","2230984","4129072","-3853134","1579776","-3546136","-528768","-4872096","346112","1536372","-6583232","8512496","-834048","1175652","-1483264","348300","-769280","-1123252","-157824","1486484","3258240","827424","3896992","-6721588","373248","3228656","1096848","-3750948","-48960","9448896","-3431232","-1126056","-3144704","-1426410","830128","-7723880","-311040","6047356","1414216","-5048514","565248","-6769122","91368","-12201200","297984","-1084410","-4396832","-978848","-300672","5449880","-2190000","895212","4847616","-11551854","3218112","-9245142","565248","-1885824","-1207776","8809744","438048","-8085684","-10544480","-6026256","-1762048","-13335104","-2238048","1806178","3429952","-973620","4572672","-146696","92160","-365040","1664256","-3813696","3851424","-3385052","472392","4631586","-2433024","1178802","-3930264","-2189952","-1819872","9911952","-352872","-3980016","223744","-4010200","4964112","-4848454","559680","-380052","2937344","4751912","715392","111884","-11731968","514098","4157888","14272050","-4446000","-7004340","524288","-380538","4227264","3968032","-2557440","22430560","285392","-2130480","108160","-10702384","715392","12670596","-2579584","-408258","4681696","4814756","1253376","3393554","174448","-2230092","-3583936","-2135822","5131224","5840808","-5822336","9492768","10494560","2366208","116640","-9423212","-1700888","748152","1257472","16215628","839592","2214076","-6850016","-3079296","-1767424","-12982836","-940032","-633744","11048496","-2080692","2731328","12367950","283176","-3001440","-1482752","12340224","-6241144","8681168","619200","19811364","-7773776","905418","-280576","-5074176","6673248","643140","1470976","10840464","-7869920","2881248","663552","8569748","2028312","289764","-6668352","15076104","176256","-4099136","-6099968","136890","-60200","21450740","-2535840","-6431388","6035072","-2734398","-552960","12694110","1586304","-11853248","-8975136","6934572","-1103232","15206880","162432","-9574940","-9153952","-7368894","-1927840","-27006094","9112896","-6156908","-534528","5221476","-17198672","726700","1591488","27007896","-11240136","9290412","5721088","5433258","3554496","-30422354","-3352576","-1189728","9616032","4500160","778752","-19724538","-11941936","-14812272","-10713344","3081520","-1876608","-28855258","-3978752","-3337344","-6847320","14431872","-1730880","-2976090","16092288","-355104","163840","-21751100","7331040","21741274","-6779904","8768232","-16320272","2893296","839808","-20660128","190632","2467908","2095648","1354936","-110160","334712","-3235328","-7720272","11817280","6178560","-7075584","-852096","-5690648","1867788","8825088","13542304","-699840","-22336704","-675648","3181986","5414432","22536352","1271808","-21602664","5218448","205578","913952","7367068","670464","3747356","-7904000","-9892872","7795904","-7508552","-676512","199372","-10559760","-4927500","-4546560","-2031380","10907136","9563514","-3787520","7240752","27713472","-10749240","1271808","-29668892","9654464","-2717496","-725792","-5143948","985608","-5827492","2228224","-23725080","-24311480","18620180","-3964608","-40454644","14743136","-5035608","9122176","-10980672","7717392","-8303984","16876032","10288512","-1982928","18240120","207360","3338432","2541624","3744576","1330048","-3966792","8665704","-2928860","1492608","1062882","-194992","-32165600","-5474304","34582836","25905264","-8843094","-1671168","-39212752","-4094712","11685630","-3699008","-793962","-3732368","42420768","503424","-25420428","17750096","11169252","21938176","9228552","1259280","-4777496","1100800","6609024","1492608","42185232","1609632","36237464","-1536040","-26396928","11863552","-46622638","9355248","-16442068","19271936","-10003500","-16398672","-4652908","1179648","7593724","-19576832","9511344","515136","-8223378","-5754240","-2015826","313344","642132","6972368","35066800","243360","-30854080","-28899072","1609632","-4508160","-26799796","-5804064","-9055674","-4861152","10533816","-15866752","-18433188","2820096","-6424704","33411008","392508","12328128","18823676","-8063856","55792600","288768","11545254","-9580968","-29347360","-13100256","24638976","590824","23612760","16200704","-44100440","262440","27039158","9282624","-3826998","4702336","-16049224","2829312","35463752","8923936","1889082","16516288","-3218730","-15412536","26208376","6319104","-3976704","-14184544","21840944","-2115072","-9277536","-19488384","24859116","1384448","7077780","6145488","47898264","-26332928","637146","34049984","1768720","-3336192","-10349074","4702608","-14042574","-5933056","285610","1393200","44818930","-3077120","-17490996","-4493008","-8816064","-631296","17694792","5945936","15014808","13032960","3051576","3309696","35399496","15587968","-17707320","-26886352","-53389948","1492992","-16908932","12914624","4563702","4387392","12337088","-15003792","-15374606","-195840","396576","37795584","21431808","-13724928","48569064","-4504224","-135450","-12578816","-13907264","-5705640","8615316","3320512","13578912","-30895520","22792608","-1244160","4798360","24189424","3569184","5656864","-78193280","-20194056","11729832","2260992","-2482272","-27076488","15082692","365472","-9454520","-48804800","-20596392","1191936","-23736292","-4337640","-19949916","-17587328","20504016","-3915392","5503424","-1202688","81999072","21799520","-38697012","-8760000","-12265288","3580848","-56357384","19390464","-25290306","-46207416","-740896","12872448","-2508440","-36980568","7997616","2260992","-31406830","-7543296","-21344754","-4831104","21636072","35238976","-60245984","1752192","-39549032","-32342736","-26869356","-42177920","-41853698","-24105024","62894592","-7048192","-4222368","-53340416","-14656820","-8952192","-16107728","7224712","-15406470","13719808","-20635776","-3894480","-4193152","18290688","36207648","-586784","-31880696","368640","-49817466","-1460160","16494840","6657024","23392468","-15254784","29569122","15405696","-36720612","-13540208","-3035576","1889568","23381632","18526344","428922","-9732096","14749590","4715208","-3908240","-15721056","-247860","-8759808","-14134776","-7279488","25841412","39647808","26588880","-1411488","65518464","-15920064","29485652","894976","-12803958","-16040800","64070320","19856448","8829372","-19393816","-1574640","2238720"],"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.h"}