{"label":"74.6.a.a","letter":"a","dim":1,"charpoly":["11","1"],"traces":["1","4","-15","16","4","-60","15","64","-18","16","-389","-240","-588","60","-60","256","-1002","-72","-1354","64","-225","-1556","-1290","-960","-3109","-2352","3915","240","2214","-240","4276","1024","5835","-4008","60","-288","1369","-5416","8820","256","-2121","-900","1024","-6224","-72","-5160","5947","-3840","-16582","-12436","15030","-9408","3405","15660","-1556","960","20310","8856","4024","-960","15460","17104","-270","4096","-2352","23340","49332","-16032","19350","240","28905","-1152","-65885","5476","46635","-21664","-5835","35280","23406","1024","-54351","-8484","-39095","-3600","-4008","4096","-33210","-24896","-69758","-288","-8820","-20640","-64140","23788","-5416","-15360","-42924","-66328","7002","-49744","-40909","60120","-139100","-37632","-900","13620","-77828","62640","-29362","-6224","-20535","3840","129334","81240","-5160","35424","10584","16096","-15030","-3840","-9730","61840","31815","68416","-24936","-1080","298153","16384","-15360","-9408","-68582","93360","-20310","197328","15660","-64128","-208926","77400","-106204","960","-89205","115620","228732","-4608","8856","-263540","248730","21904","139095","186540","14976","-86656","18036","-23340","17104","141120","53899","93624","-51075","4096","-19350","-217404","-152084","-33936","23340","-156380","525014","-14400","-25549","-16032","24372","16384","530681","-132840","-46635","-99584","-60360","-279032","563454","-1152","-555247","-35280","-231900","-82560","5476","-256560","389778","95152","58725","-21664","-283852","-61440","-899056","-171696","35280","-265312","574527","28008","-70610","-198976","-739980","-163636","33210","240480","-8484","-556400","23220","-150528","526706","-3600","-736797","54480","-433575","-311312","4096","250560","64140","-117448","988275","-24896","589176","-82140","321839","15360","55962","517336","560160","324960","-1142753","-20640","87525","141696","-340202","42336","23788","64384","-351090","-60120","-535498","-15360","-939478","-38920","-136080","247360","-66328","127260","796152","273664","586425","-99744","-155540","-4320","501810","1192612","60120","65536","-1499116","-61440","20535","-37632","-39852","-274328","2027343","373440","13620","-81240","1046370","789312","1212574","62640","-1919403","-256512","132300","-835704","1209401","309600","-1939872","-424816","-76968","3840","186552","-356820","401344","462480","81240","914928","-31815","-18432","-415853","35424","643860","-1054160","514598","994920","16096","87616","-1522935","556380","758520","746160","15360","59904","613635","-346624","61840","72144","-1513057","-93360","2086500","68416","-2772498","564480","-3057260","215596","-1080","374496","1158302","-204300","-861246","16384","1167420","-77400","1356708","-869616","1828092","-608336","440430","-135744","89205","93360","-1048490","-625520","-24642","2100056","197328","-57600","3171639","-102196","-1940010","-64128","-1663364","97488","-500835","65536","77400","2122724","-1080846","-531360","376222","-186540","-2302020","-398336","-2869434","-241440","115620","-1116128","225450","2253816","-1112155","-4608","-642783","-2220988","145950","-141120","-263540","-927600","-2112832","-330240","38178","21904","51075","-1026240","3484661","1559112","374040","380608","-1301832","234900","-3385373","-86656","-4472295","-1135408","-565484","-245760","-23340","-3596224","-18432","-686784","1345396","141120","1292580","-1061248","1028730","2298108","93624","112032","3528179","-282440","304650","-795904","3039888","-2959920","-2514288","-654544","-217404","132840","-532541","961920","2601192","-33936","3133890","-2225600","60360","92880","-156380","-602112","1593060","2106824","3748003","-14400","4811354","-2947188","-107046","217920","3115218","-1734300","231900","-1245248","-3430980","16384","3069020","1002240","5800221","256560","-132840","-469792","1746660","3953100","-1884200","-99584","298476","2356704","4387521","-328560","-279032","1287356","-2086425","61440","4486414","223848","825069","2069344","-224640","2240640","-35280","1299840","6853152","-4571012","-3922830","-82560","2265340","350100","4688770","566784","-256560","-1360808","-2259582","169344","739980","95152","-808485","257536","-398336","-1404360","4209586","-240480","-61290","-2141992","-8679602","-61440","-804972","-3757912","290250","-155680","-171696","-544320","-9221846","989440","2281260","-265312","-6357300","509040","-2218428","3184608","28008","1094656","433575","2345700","3664680","-398976","-7875210","-622160","-9797186","-17280","-163636","2007240","383235","4770448","-5587683","240480","-988275","262144","-5300910","-5996464","-556400","-245760","-2313383","82140","-7960215","-150528","-204933","-159408","3696732","-1097312","699525","8109372","-4284552","1493760","-4772243","54480","-72432","-324960","1247148","4185480","-311312","3157248","-8451810","4850296","6450398","250560","167004","-7677612","8328705","-1026048","-117448","529200","6630444","-3342816","-278280","4837604","-2997756","1238400","351090","-7759488","-82140","-1699264","-5456798","-307872","-602112","15360","-5846670","746208","12809516","-1427280","517336","1605376","-815265","1849920","5431480","324960","-635793","3659712","4257780","-127260","4010610","-73728","-8782334","-1663412","13485840","141696","-586425","2575440","-1324545","-4216640","42336","2058392","-4378542","3979680","-5789704","64384","-8617905","350464","10785779","-6091740","-60120","2225520","1059150","3034080","-13887451","2984640","-11068610","61440","-887976","239616","-38920","2454540","9424594","-1386496","-498150","247360","-3496836","288576","12461879","-6052228","127260","-373440","9569065","8346000","-17552501","273664","-5050350","-11089992","-1046370","2257920","9615881","-12229040","-7900590","862384","-1371738","-4320","7310074","1497984","11051955","4633208","1192612","-817200","9750216","-3444984","-520290","65536","203087","4669680","14392826","-309600","-61440","5426832","18101138","-3478464","-1565336","7312368","-962100","-2433344","7004604","1761720","-274328","-542976","1185930","356820","18287285","373440","-13451922","-4193960","-8837640","-2502080","-81240","-98568","-2856060","8400224","-4827585","789312","-6013940","-230400","11552935","12686556","-12171735","-408784","-8507243","-7760040","-643860","-256512","-8402400","-6653456","13039176","389952","-835704","-2003340","17141295","262144","-2002140","309600","4135940","8490896","105030","-4323384","-424816","-2125440","2125242","1504888","5103030","-746160","-9558820","-9208080","-1853626","-1593344","-356820","-11477736","-613635","-965760","-3525510","462480","-421308","-4464512","-5516040","901800","914928","9015264","8032470","-4448620","4589967","-18432","-2086500","-2571132","14092170","-8883952","-6883326","583800","2960006","-564480","15248493","-1054160","-1026048","-3710400","-12336061","-8451328","994920","-1320960","-19190148","152712","3736771","87616","-11942280","204300","-18351219","-4104960","556380","13938644","703710","6236448","-1167420","1496160","-21473335","1522432","2333100","-5207328","59904","939600","20236750","-13541492","-7527150","-346624","24590017","-17889180","-440430","-4541632","72144","-2261936","-2366112","-983040","118790","-93360","22486740","-14384896","20544523","-73728","-13294084","-2747136","-308025","5381584","2871834","564480","-11244045","5170320","8667810","-4244992","215596","4114920","10408663","9192432","-30410145","374496","1940010","448128","-9090480","14112716","-204300","-1129760","-17903480","1218600","-5958894","-3183616","1255644","12159552","25629265","-11839680","-77400","-10057152","-18188610","-2618176","-8171874","-869616","-31445085","531360","28791045","-2130164","-608336","3847680","-1386496","10404768","158760","-135744","-29868659","12535560","-25259112","-8902400","-18141015","241440","31005382","371520","17209856","-625520","29098080","-2408448","16615164","6372240","2100056","8427296","16740540","14992012","9697184","-57600","-15609353","19245416","-2798280","-11788752","-102196","-428184","-145950","871680","-6020160","12460872","-1766010","-6937200","-16674070","927600","97488","-4980992","-7571278","-13723920","21481870","65536","477225","12276080","-17758176","4008960","2122724","23200884","6237795","1026240","-9104934","-531360","-29007216","-1879168","772632","6986640","-374040","15812400","7081282","-7536800","-7718970","-398336","-37698150","1193904","-2994080","9426816","-241440","17550084","13231901","-1314240","4472295","-1116128","21142539","5149424","-8052238","-8345700","2253816","245760","-11377800","17945656","9467064","895392","-3411810","3300276","-230400","8277376","-2220988","-898560","4108940","8962560","736362","-141120","29568184","5199360","15207955","27412608","-927600","-18284048","-1028730","-15691320","5912800","-330240","22695855","9061360","-16996140","1400400","-4256221","18755080","2503800","2267136","14202598","-1026240","22452028","-5443232","41587470","-9038328","1559112","677376","-18266479","2959920","45858900","380608","-26741562","-3233940","2736090","1030144","234900","-1593344","-2160594","-5617440","38740380","16838344","-17374530","-961920","-54428491","-245160","-1135408","-8567968","12918690","-34718408","-3133890","-245760","-10344975","-3219888","1400904","-15031648","-3596224","1161000","-17110378","-622720","-20350620","-686784","12672468","-2177280","-1593060","-36887384","-27421380","3957760","-27950220","9125040","27135862","-1061248","528516","-25429200","-6990411","2036160","2298108","-8873712","-1338075","12738432","-1320960","112032","-21471440","4378624","15727350","1734300","-282440","9382800","-35015310","14658720","5359635","-1595904"],"space":"74.6.a","level":74,"weight":6,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,-1],[37,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/74.6.a.a"}