{"label":"206.4.a.e","letter":"e","dim":9,"charpoly":["516713160","-695069064","-35519796","59423649","-7551817","92777","27404","-947","-23","1"],"traces":["9","18","6","36","17","12","45","72","133","34","59","24","102","90","255","144","26","266","218","68","298","118","371","48","412","204","48","180","9","510","180","288","-617","52","245","532","-104","436","-677","136","-83","596","458","236","-1050","742","-13","96","292","824","147","408","-45","96","-968","360","-1835","18","-142","1020","-206","360","-2591","576","-2219","-1234","474","104","-3060","490","-667","1064","-2291","-208","-2375","872","-1287","-1354","-336","272","689","-166","-1296","1192","351","916","-432","472","-1476","-2100","-35","1484","-1164","-26","-2200","192","445","584","-1338","1648","-1141","294","927","816","-6249","-90","2087","192","1019","-1936","-1224","720","-3886","-3670","-1228","36","-1621","-284","4412","2040","-1492","-412","1858","720","-2676","-5182","799","1152","-2640","-4438","-821","-2468","-2313","948","7079","208","299","-6120","6259","980","-2217","-1334","1568","2128","894","-4582","584","-416","2607","-4750","6470","1744","-10409","-2574","3541","-2708","3456","-672","1307","544","-3316","1378","11441","-332","-164","-2592","11838","2384","6613","702","10349","1832","4399","-864","7328","944","-5911","-2952","6812","-4200","2653","-70","7069","2968","3683","-2328","10686","-52","8414","-4400","2947","384","6454","890","7485","1168","5584","-2676","10432","3296","8952","-2282","10779","588","6214","1854","15509","1632","2187","-12498","10227","-180","5057","4174","-543","384","3558","2038","1639","-3872","-3953","-2448","11773","1440","283","-7772","-1864","-7340","8269","-2456","8563","72","-9478","-3242","14071","-568","-20199","8824","1514","4080","-3571","-2984","-5048","-824","-18966","3716","13613","1440","-3957","-5352","-15250","-10364","3218","1598","-24527","2304","-18032","-5280","10744","-8876","-25413","-1642","-1539","-4936","-14348","-4626","6734","1896","-12770","14158","13106","416","-17481","598","-7108","-12240","1610","12518","-2428","1960","-31620","-4434","-3978","-2668","-11072","3136","-15004","4256","8759","1788","-26966","-9164","-12044","1168","-13857","-832","-33191","5214","-3659","-9500","-16174","12940","-7705","3488","-34330","-20818","9759","-5148","618","7082","-17259","-5416","-8215","6912","2270","-1344","-12271","2614","23460","1088","-26781","-6632","-23912","2756","4086","22882","-14073","-664","-28369","-328","17239","-5184","-20988","23676","-10933","4768","-702","13226","124","1404","-19301","20698","20562","3664","12472","8798","-26199","-1728","8636","14656","-1333","1888","-26307","-11822","27141","-5904","-33059","13624","13919","-8400","13099","5306","12865","-140","-20077","14138","22700","5936","17461","7366","-28765","-4656","25352","21372","20096","-104","-22470","16828","30534","-8800","4343","5894","-4926","768","2114","12908","17092","1780","23360","14970","2416","2336","18752","11168","-37461","-5352","12458","20864","47115","6592","-7003","17904","33723","-4564","-8907","21558","-4285","1176","22497","12428","4694","3708","-15848","31018","40768","3264","3387","4374","3926","-24996","13240","20454","30726","-360","-19222","10114","-148","8348","40376","-1086","-29701","768","29912","7116","-16620","4076","31299","3278","26841","-7744","20132","-7906","17877","-4896","56342","23546","-19700","2880","-2600","566","-4732","-15544","44018","-3728","-31469","-14680","13255","16538","55817","-4912","-14337","17126","37128","144","-16179","-18956","-20843","-6484","57522","28142","-8910","-1136","3837","-40398","-26231","17648","54656","3028","-10124","8160","-4579","-7142","28514","-5968","-45026","-10096","-934","-1648","9872","-37932","-20991","7432","54825","27226","-48556","2880","-46685","-7914","-10013","-10704","-17488","-30500","-9914","-20728","-27843","6436","-38789","3196","3966","-49054","-41677","4608","-29195","-36064","1751","-10560","-18260","21488","43271","-17752","-45738","-50826","-6147","-3284","37751","-3078","-39155","-9872","6","-28696","2713","-9252","-10875","13468","-19920","3792","-40645","-25540","-28078","28316","16296","26212","273","832","-62052","-34962","-49264","1196","98877","-14216","-50826","-24480","-37293","3220","-40951","25036","25717","-4856","13159","3920","21692","-63240","-34305","-8868","39093","-7956","-88821","-5336","18871","-22144","-326","6272","91931","-30008","25971","8512","-14876","17518","56858","3576","24252","-53932","-10443","-18328","-6490","-24088","-25770","2336","74959","-27714","-26424","-1664","-22934","-66382","-85085","10428","104504","-7318","68057","-19000","-35029","-32348","20266","25880","38454","-15410","-6451","6976","32712","-68660","-23501","-41636","35077","19518","-5734","-10296","17231","1236","-12116","14164","-6292","-34518","43898","-10832","-44521","-16430","-16461","13824","34113","4540","23046","-2688","14537","-24542","3520","5228","-40928","46920","31666","2176","19797","-53562","35257","-13264","164527","-47824","25110","5512","27596","8172","-23374","45764","18214","-28146","-34331","-1328","-81552","-56738","60009","-656","-9545","34478","39577","-10368","-2592","-41976","-82260","47352","121060","-21866","-57843","9536","-60097","-1404","-55053","26452","20800","248","9161","2808","-39678","-38602","48468","41396","-46473","41124","-1466","7328","24992","24944","-26987","17596","-8288","-52398","-25371","-3456","-39550","17272","70280","29312","2891","-2666","-36905","3776","26635","-52614","-75911","-23644","-44256","54282","6027","-11808","-25436","-66118","-48975","27248","-10015","27838","22211","-16800","4635","26198","47199","10612","38325","25730","-125657","-280","103291","-40154","9563","28276","-11490","45400","-18544","11872","-90745","34922","5661","14732","14566","-57530","77696","-9312","-142695","50704","-107467","42744","116627","40192","-85245","-208","40902","-44940","39141","33656","-14641","61068","-45822","-17600","-15534","8686","-113749","11788","154368","-9852","19821","1536","-37593","4228","70532","25816","72164","34184","-4597","3560","-36864","46720","84955","29940","-8860","4832","-52722","4672","58809","37504","-49499","22336","143775","-74922","16650","-10704","2982","24916","154374","41728","-87359","94230","-31443","13184","-51218","-14006","107448","35808","118932","67446","-36137","-9128","59002","-17814","-34160","43116","54978","-8570","54483","2352","-107441","44994","-40076","24856","129615","9388","84827","7416","-50820","-31696","-6170","62036","94763","81536","6560","6528","-60761","6774","-103807","8748","84624","7852","-6590","-49992","46086","26480","13936","40908","21213","61452","-107634","-720","44084","-38444","100810","20228","-3485","-296","-157444","16696","35365","80752","62915","-2172","-6502","-59402","-7074","1536","75216","59824","-250829","14232","158574","-33240","-77457","8152","-33707","62598","128558","6556","-99286","53682","38102","-15488","-18586","40264","64247","-15812","220717","35754","-78498","-9792","47517","112684","-147797","47092","35258","-39400","-156816","5760","-81880","-5200","-40110","1132","-20942","-9464","-103100","-31088","-48472","88036","-116853","-7456","129394","-62938","54065","-29360","-93659","26510","-28636","33076","-53520","111634","-5145","-9824","21179","-28674","-142593","34252","43487","74256","13699","288","52209","-32358","36340","-37912","-75062","-41686","84163","-12968","-158766","115044","-73446","56284","-67799","-17820","-135159","-2272","-296353","7674","-10478","-80796","126939","-52462","-257180","35296","-21469","109312","94883","6056","-20922","-20248","-63890","16320","-59109","-9158","-38498","-14284","-62699","57028","-104498","-11936","111128","-90052","-4574","-20192","-93479","-1868","-203859","-3296","16186","19744","-117632","-75864","244666","-41982","89837","14864","51501","109650","-116127","54452","-41816","-97112","118477","5760","-66587","-93370","170800","-15828","-50470","-20026","-14876","-21408"],"space":"206.4.a","level":206,"weight":4,"T":[[3,1],[5,1]],"status":"proven","derived":{"al":[[2,-1],[103,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/206.4.a.e"}