{"label":"129.4.a.f","letter":"f","dim":8,"charpoly":["108957696","43224384","-6016856","-1851974","205478","6247","-883","-5","1"],"traces":["8","1","24","55","4","3","52","33","72","56","66","165","94","-252","12","259","-38","9","36","-174","156","450","204","99","560","-86","216","218","120","168","534","465","198","-458","2","495","488","-1292","282","-624","-150","-756","344","-328","36","-1664","-904","777","588","-2673","-114","-1104","-546","27","-812","-4132","108","-408","-1258","-522","1584","-2108","468","971","-134","1350","86","-1270","612","66","876","297","944","-1130","1680","-2522","-1886","-258","2396","-3702","648","-1302","86","654","592","43","360","3546","-78","504","732","-12","1602","3014","-1650","1395","2242","-1311","594","3075","1698","-1374","706","4482","6","-1850","-1584","1485","1298","3636","1464","-1374","-100","-3876","3700","4770","846","1740","4980","-1872","114","4266","-450","8364","1650","-2268","2938","8929","1032","-9518","2616","-984","1900","7320","108","-14602","-648","-4992","3114","3632","-2712","-3732","-468","2331","-11640","5662","1764","-1478","1382","-8019","2636","-2020","-342","-2658","1264","-3312","-900","-1112","-1638","-7696","3180","81","1312","1822","-2436","-3310","690","-12396","4526","15464","324","2365","-12760","-1224","-708","12276","-3774","-17106","-6912","-1566","-2796","11232","4752","-18992","-18756","-6324","1010","-7428","1404","4786","2876","2913","-20378","13098","-402","7145","-6224","4050","8140","-9769","258","478","-7398","-3810","-2816","12516","1836","-9492","-15746","198","-1084","10010","2628","774","172","891","8212","15554","2832","-16090","-24002","-3390","-924","-13204","5040","8572","-9120","-7566","-10902","18840","-5658","14160","-12776","-774","2904","4068","7188","-1124","9948","-11106","-9752","17997","1944","32610","-11642","-3906","10172","468","258","10218","10802","1962","-3626","4092","1776","10491","1440","129","2260","34692","1080","15684","4020","10638","-19296","27484","-234","11416","-15878","1512","6414","-2178","2196","-4136","-2036","-36","-4840","624","4806","33722","-750","9042","-454","32884","-4950","5690","16580","4185","8618","29868","6726","4366","-9732","-3933","12472","9878","1782","9506","270","9225","2236","-6824","5094","-30210","-42008","-4122","12890","-58836","2118","-32312","24666","13446","-8436","-18450","18","37044","-5182","-5550","3672","-46134","-4752","-13920","2404","4455","13350","28","3894","-26022","-41198","10908","2776","-26240","4392","6702","10212","-4122","-9178","-64185","-300","-37472","-4650","-11628","24632","1419","11100","10006","1932","14310","-23668","-39560","2538","39866","-42186","5220","8184","-2454","14940","-12656","3048","-5616","22404","-8094","342","-34914","-8724","12798","16512","-56544","-1350","32168","10564","25092","-3996","-29932","4950","22270","-34170","-6804","36370","-2788","8814","-9800","4908","26787","-25124","22250","3096","32040","3516","-28554","4786","-31895","7848","-38254","17536","-2952","21936","-21928","5700","-38201","-650","21960","-5702","16958","324","-22758","38932","-43806","624","-804","-1944","-32924","-17288","-14976","12972","42642","9342","-81538","25476","10896","30492","56644","-8136","3574","-21210","-11196","-4836","-69412","-1404","2408","27126","6993","8536","-81180","-34920","-7504","-3828","16986","-26266","-23444","5292","98016","11716","-4434","15396","55548","4146","-93934","-7884","-24057","-15158","-33806","7908","-1724","71162","-6060","-36540","-30962","-1026","54984","4176","-7974","4436","75138","3792","-26304","26952","-9936","-288","53704","-2700","31484","2838","-3336","15644","82820","-4914","-34514","658","-23088","16356","-25098","9540","17441","15922","243","6912","54058","3936","-23526","31884","5466","31476","-7244","-7308","103096","-7864","-9930","10148","60968","2070","-2082","26460","-37188","-7576","26568","13578","3992","3706","46392","2224","95793","972","21300","74388","7095","27368","-7352","-38280","-108166","10980","-3672","3484","47912","-2124","47692","11230","36828","3230","-8004","-11322","110626","17790","-51318","-46608","68376","-20736","-50454","21224","-4698","11110","2364","-8388","-123242","-12454","33696","-55054","-36950","14256","69532","54438","-56976","3572","59442","-56268","78128","-20846","-18972","4042","-10368","3030","-36002","-49596","-22284","9920","-62352","4212","-12420","-45590","14358","10200","-55984","8628","-4288","120420","8739","6188","-103117","-61134","-191178","1314","39294","-64722","25262","-1206","-23326","-96060","21435","5556","-94280","-18672","77002","13486","12150","-137152","13950","24420","-64096","78082","-29307","13608","-10836","774","-6720","38442","1434","-79960","-136756","-22194","90000","-51394","-11430","13332","96960","-8448","-94154","16290","37548","-5248","-69300","5508","-7886","11652","-28476","6308","-34914","-47238","57226","8824","594","53452","-61272","-3252","-27334","-25936","30030","11954","-58332","7884","42288","57786","2322","-84056","129168","516","68332","29500","2673","-51828","-119454","24636","2494","53644","46662","-30520","-44862","8496","34166","19352","-48270","58282","-37300","-72006","1354","17638","-10170","-63600","-39760","-2772","-123032","44168","-39612","-25240","73746","15120","34911","2102","25716","180","240168","-27360","97232","1968","-22698","63704","18884","-32706","11137","11682","56520","-66148","-243734","-16974","57432","512","42480","-17742","-103394","-38328","136808","-13548","-2322","17444","189052","8712","-65506","-111248","12204","-73466","-23076","21564","-87330","-26886","-3372","-115980","-74976","29844","53144","81654","-33318","53048","136933","-29256","-17648","-26046","53991","18808","26792","5832","37544","-1634","97830","83904","-52296","-34926","-124272","-36186","-11718","24172","-157924","30516","11824","42148","1404","-6612","58750","774","-72720","4450","30654","-12120","-66516","32406","176250","-160208","5886","19116","-45148","-10878","92650","28134","12276","-79788","153996","5328","226556","-13948","31473","33952","84872","4320","-89758","42084","387","25938","33970","6780","-120028","-39316","104076","23772","134208","3240","136693","2364","47052","-70828","-80842","12060","191956","-34002","31914","-16580","64258","-57888","94232","-15060","82452","4484","-47497","-702","131110","11404","34248","-3128","76012","-47634","189358","91056","4536","-42896","45456","19242","10020","-22506","-6534","1548","-83902","6588","100420","-149510","-12408","88654","-112188","-6108","-9304","796","-108","65824","-108668","-14520","-9884","45306","1872","-80484","-203656","14418","-61140","9900","101166","61880","9582","-2250","36558","-168894","27126","23640","13350","-1362","144542","-45180","98652","-65770","-105964","-14850","-60306","20544","17070","-98128","-7482","49740","153038","27468","12555","-39632","-262034","25854","89760","-70776","89604","4818","207258","20178","-48384","73918","13098","478","-121992","-29196","-127938","-59474","-11799","12506","-277444","37416","-81334","40884","29634","21416","34764","5346","35014","-38730","28518","67676","-137604","810","155332","71388","27675","-50234","16216","6708","-15084","53850","-20472","-48042","-213936","15282","-320610","100844","-90630","85682","51274","-126024","-119706","-86900","-12366","10714","-6264","38670","-86918","-28428","-176508","3540","-48892","6354","-11568","-10832","-96936","-104300","40290","73998","-116128","160620","40338","-6280","25644","-25308","-44978","-64458","-55350","56586","42468","54","19350","-24018","111132","114624","-194900","-15546","33388","63068","-16650","-115156","1324","11016","-29946","91298","-138402","146","121756","-14256","-329494","-85924","-41760","-103006","68133","7212","52718","-31780","13365","-27724","124764","40050","220242","30108","84","-170916","-58058","11682","-41136","30336","-78066","87476","-349416","-123594","32030","8772","32724","213328","181428","8328","-317252","-30592","-78720","130760","-123004","13176","-58014"],"space":"129.4.a","level":129,"weight":4,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,-1],[43,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/129.4.a.f"}