{"label":"112.4.a.f","letter":"f","dim":1,"charpoly":["-772","1"],"traces":["1","0","2","0","16","0","7","0","-23","0","8","0","28","0","32","0","54","0","110","0","14","0","-48","0","131","0","-100","0","-110","0","-12","0","16","0","112","0","-246","0","56","0","182","0","-128","0","-368","0","-324","0","49","0","108","0","-162","0","128","0","220","0","-810","0","-488","0","-161","0","448","0","-244","0","-96","0","768","0","-702","0","262","0","56","0","-440","0","421","0","1302","0","864","0","-220","0","730","0","196","0","-24","0","1760","0","294","0","-184","0","-688","0","-1388","0","224","0","-244","0","90","0","-492","0","1318","0","-768","0","-644","0","378","0","-1267","0","364","0","96","0","1776","0","-256","0","1118","0","770","0","-1600","0","2274","0","210","0","-648","0","224","0","-1760","0","98","0","-2010","0","-1112","0","-1242","0","-192","0","124","0","-324","0","-336","0","-2008","0","256","0","-2884","0","-1413","0","-2530","0","2228","0","917","0","-1620","0","820","0","3892","0","-976","0","-3936","0","432","0","-700","0","5048","0","-2962","0","896","0","3334","0","-1860","0","-488","0","-770","0","2912","0","1104","0","880","0","4268","0","1536","0","-2048","0","-84","0","-1404","0","1512","0","5432","0","-3013","0","2046","0","-2980","0","112","0","4458","0","-5184","0","-880","0","-4440","0","3302","0","3542","0","784","0","3080","0","2604","0","-1582","0","-384","0","1728","0","2354","0","-1722","0","2530","0","3872","0","-2592","0","1460","0","180","0","-2032","0","392","0","1048","0","-5426","0","276","0","842","0","3782","0","3520","0","1274","0","-1997","0","588","0","-4312","0","-12960","0","-800","0","-1344","0","-896","0","-1376","0","-7808","0","-2674","0","-2776","0","3768","0","2438","0","-2576","0","-3186","0","-880","0","-488","0","5940","0","3668","0","180","0","-2268","0","-8672","0","5658","0","-3904","0","814","0","2636","0","-96","0","343","0","-1536","0","-9344","0","-5180","0","-2800","0","12178","0","12288","0","756","0","-440","0","5241","0","-2534","0","-11232","0","9816","0","-4186","0","-1134","0","-442","0","192","0","-3080","0","3960","0","3552","0","-6708","0","896","0","2944","0","-13350","0","-2592","0","2236","0","-7040","0","-1356","0","1540","0","6222","0","-336","0","6736","0","-1968","0","5150","0","4548","0","-5670","0","20832","0","420","0","-2310","0","1262","0","7452","0","7074","0","-3416","0","448","0","4488","0","17038","0","-3520","0","-5280","0","-16200","0","-1127","0","8772","0","11680","0","-4020","0","2130","0","1456","0","-2224","0","3136","0","10534","0","-5400","0","-9268","0","9392","0","-384","0","10806","0","-1708","0","248","0","-1024","0","14410","0","3726","0","-4940","0","-6888","0","-672","0","4704","0","5216","0","-4016","0","-4412","0","-5940","0","-2944","0","5376","0","-19060","0","-5768","0","-12768","0","-11008","0","-2826","0","-5500","0","-4914","0","-11000","0","-22208","0","-2592","0","4456","0","-7338","0","17582","0","1834","0","-648","0","-9863","0","18630","0","5096","0","-3904","0","1640","0","392","0","-1618","0","7784","0","1440","0","-16144","0","11224","0","-12100","0","-3080","0","-7872","0","4654","0","-3584","0","864","0","-10078","0","21088","0","2947","0","-5930","0","19048","0","10096","0","-6288","0","-14366","0","-5924","0","9114","0","-1296","0","-10304","0","3626","0","-1320","0","6668","0","-1062","0","6048","0","-3720","0","10200","0","-25158","0","5612","0","-20272","0","-25664","0","-1540","0","-9072","0","19018","0","5824","0","17334","0","-18730","0","4800","0","5110","0","-14839","0","1760","0","-13284","0","6928","0","8536","0","28416","0","1372","0","-17664","0","16302","0","-4718","0","-4096","0","21436","0","-6480","0","-168","0","4458","0","17888","0","16146","0","26640","0","7432","0","3024","0","12320","0","5280","0","10864","0","-3904","0","58","0","-13100","0","-21516","0","2058","0","4092","0","-18108","0","36384","0","-5960","0","-4536","0","10078","0","-1288","0","3360","0","9828","0","8916","0","18762","0","-27060","0","-10368","0","-4816","0","6810","0","10120","0","576","0","3584","0","-8880","0","-4860","0","-9716","0","6604","0","-14410","0","13636","0","-4283","0","-6912","0","2088","0","1568","0","-1952","0","5160","0","6160","0","28152","0","-32160","0","-29946","0","-1708","0","16808","0","-3164","0","-17792","0","21674","0","-768","0","7422","0","630","0","-19872","0","-22680","0","13790","0","4708","0","-6232","0","-1572","0","-3444","0","20020","0","6144","0","11000","0","1984","0","1766","0","7744","0","9226","0","-13664","0","-5184","0","1204","0","-17496","0","-16790","0","-5616","0","-5376","0","360","0","-7050","0","-23282","0","-4064","0","-32128","0","-14080","0","-4508","0","10142","0","9192","0","2096","0","46716","0","11240","0","-10852","0","2646","0","-46144","0","1200","0","-700","0","-12289","0","1684","0","-22608","0","-8869","0","7564","0","11808","0","-37492","0","-40480","0","28894","0","2770","0","2548","0","-17688","0","35648","0","-3994","0","-3520","0","-6832","0","-6762","0","672","0","-33566","0","-8624","0","-16758","0","-11468","0","-25920","0","50356","0","12432","0","3368","0","-35640","0","13120","0","-2688","0","1320","0","-8748","0","-1792","0","62272","0","8716","0","15824","0","-7632","0","10416","0","-15616","0","7826","0","23080","0","-5348","0","21504","0","-32226","0","31924","0","45110","0","5390","0","7536","0","6912","0","16674","0","4876","0","43832","0","-8736","0","-11200","0","736","0","-19656","0","-6372","0","38138","0","80768","0","-1760","0","15918","0","-29647","0","5612","0","-47392","0","-26224","0","11880","0","-18762","0","1470","0","7336","0","38394","0","5840","0","-2070","0","-5388","0","53344","0","-4536","0","6144","0","-25472","0","-17344","0","-29760","0","-17096","0","24600","0"],"space":"112.4.a","level":112,"weight":4,"T":[[3,1],[5,3],[11,5],[13,7],[17,9]],"status":"proven","derived":{"al":[[2,null],[7,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/112.4.a.f"}