{"label":"144.4.a","level":144,"weight":4,"dims":{"new":7,"cusp":60,"eisenstein":24,"modsym":144},"old":[[6,1,8],[8,1,6],[9,1,5],[12,1,6],[16,1,3],[18,1,4],[24,1,4],[36,1,3],[48,3,2],[72,4,2]],"T":[[5,1],[7,2],[13,3],[17,4],[19,5],[11,6],[23,7],[29,8]],"status":"proven","checks":["dim M^+ at levels [1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144]: [1, 2, 2, 3, 5, 5, 4, 9, 8, 11, 16, 21, 28, 40, 76] (certified at ell = 2147483629)","T = [(5, 1), (7, 2), (13, 3), (17, 4), (19, 5), (11, 6), (23, 7), (29, 8)]; h of degree 7 = 1 x 7 (phi(ord eps) x dim S_k^new); 3 primes, 0 rejected"],"newforms":[{"label":"144.4.a.a","letter":"a","dim":1,"charpoly":["-1374","1"],"traces":["1","0","0","0","-16","0","12","0","0","0","64","0","58","0","0","0","-32","0","136","0","0","0","-128","0","131","0","0","0","144","0","-20","0","0","0","-192","0","-18","0","0","0","288","0","200","0","0","0","384","0","-199","0","0","0","-496","0","-1024","0","0","0","-128","0","-458","0","0","0","-928","0","496","0","0","0","512","0","-602","0","0","0","768","0","-1108","0","0","0","704","0","512","0","0","0","960","0","696","0","0","0","-2176","0","206","0","0","0","-432","0","68","0","0","0","-384","0","-518","0","0","0","960","0","2048","0","0","0","-384","0","2765","0","0","0","-96","0","-796","0","0","0","512","0","1632","0","0","0","-1824","0","2160","0","0","0","3712","0","-2304","0","0","0","688","0","844","0","0","0","320","0","118","0","0","0","-1536","0","-3576","0","0","0","384","0","1167","0","0","0","-2448","0","1572","0","0","0","-4224","0","-510","0","0","0","288","0","-2048","0","0","0","-384","0","-3454","0","0","0","3216","0","-1708","0","0","0","1728","0","-4608","0","0","0","8704","0","-2320","0","0","0","-3200","0","-240","0","0","0","-1856","0","116","0","0","0","1344","0","4594","0","0","0","-5056","0","-6144","0","0","0","-3712","0","-978","0","0","0","3184","0","7888","0","0","0","1856","0","-8192","0","0","0","-7808","0","-216","0","0","0","1024","0","7936","0","0","0","-1328","0","5812","0","0","0","8384","0","8386","0","0","0","640","0","-4832","0","0","0","3456","0","-3889","0","0","0","-6384","0","2048","0","0","0","-7424","0","2400","0","0","0","7328","0","3312","0","0","0","9984","0","2586","0","0","0","2832","0","9216","0","0","0","-4352","0","7598","0","0","0","4608","0","5920","0","0","0","-7936","0","-4674","0","0","0","-1280","0","-6504","0","0","0","-9024","0","-4362","0","0","0","-8768","0","-8192","0","0","0","-6144","0","11637","0","0","0","9632","0","-4564","0","0","0","-5952","0","-8770","0","0","0","8352","0","1096","0","0","0","10368","0","-12288","0","0","0","3248","0","4096","0","0","0","17728","0","-6106","0","0","0","-7008","0","-1160","0","0","0","-1152","0","1590","0","0","0","-1536","0","-11264","0","0","0","-192","0","9074","0","0","0","-4192","0","-5496","0","0","0","-5248","0","-8222","0","0","0","-17408","0","-16236","0","0","0","14528","0","-15360","0","0","0","-6304","0","18432","0","0","0","-11136","0","1958","0","0","0","-4048","0","-16988","0","0","0","6720","0","5952","0","0","0","12800","0","17816","0","0","0","9728","0","-1044","0","0","0","-3296","0","8444","0","0","0","-15360","0","-4608","0","0","0","6144","0","-6624","0","0","0","-6912","0","6912","0","0","0","19920","0","-7224","0","0","0","-1088","0","24576","0","0","0","-3680","0","11720","0","0","0","640","0","4217","0","0","0","16704","0","6144","0","0","0","-12736","0","11754","0","0","0","8288","0","18904","0","0","0","19584","0","-13296","0","0","0","-3088","0","11600","0","0","0","-21440","0","-15360","0","0","0","-22624","0","6000","0","0","0","-16768","0","19922","0","0","0","8448","0","-31744","0","0","0","-3584","0","-2720","0","0","0","-1984","0","6144","0","0","0","14976","0","25738","0","0","0","-44240","0","8548","0","0","0","22272","0","8558","0","0","0","10368","0","13088","0","0","0","11520","0","-14839","0","0","0","576","0","4412","0","0","0","12736","0","-11542","0","0","0","30176","0","-21288","0","0","0","17024","0","-8192","0","0","0","-2256","0","-8192","0","0","0","23808","0","-26242","0","0","0","-26112","0","-18432","0","0","0","-29312","0","-24590","0","0","0","2864","0","2472","0","0","0","-7616","0","29184","0","0","0","-28768","0","-2168","0","0","0","-34560","0","-9216","0","0","0","18000","0","-2448","0","0","0","-5184","0","3506","0","0","0","2560","0","-59392","0","0","0","15616","0","816","0","0","0","18864","0","15036","0","0","0","-6400","0","-19126","0","0","0","31744","0","17392","0","0","0","-32384","0","-11008","0","0","0","-4608","0","27708","0","0","0","-13504","0","-37246","0","0","0","4192","0","-6216","0","0","0","-7424","0","26882","0","0","0","17232","0","-2620","0","0","0","39168","0","32768","0","0","0","-1888","0","-31816","0","0","0","11520","0","-26564","0","0","0","-8272","0","-12288","0","0","0","-38528","0","24576","0","0","0","9184","0","19832","0","0","0","57216","0","27200","0","0","0","-15216","0","39772","0","0","0","-18304","0","4906","0","0","0","6368","0","-6144","0","0","0","15360","0","-3653","0","0","0","-18672","0","33180","0","0","0","2304","0","-24802","0","0","0","-15072","0","-1800","0","0","0","7552","0","39168","0","0","0","-70912","0","28768","0","0","0","-1152","0","20838","0","0","0","-47744","0","-28280","0","0","0","7424","0","-9552","0","0","0","52224","0","67584","0","0","0","-2880","0","15872","0","0","0","8160","0","5912","0","0","0","-26240","0","45056","0","0","0","6144","0","-35620","0","0","0","29696","0","-2358","0","0","0","3232","0","-27064","0","0","0","32768","0","-11478","0","0","0","39984","0","-36864","0","0","0","24192","0","-34916","0","0","0","39456","0","6144","0","0","0","-21888","0","-29391","0","0","0","55264","0","41668","0","0","0","-51648","0","25920","0","0","0","-55776","0","61440","0","0","0","-36096","0","-51456","0","0","0","-25600","0","-42532","0","0","0","27328","0","29806","0","0","0"],"derived":{"al":[[2,null],[3,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"144.4.a.b","letter":"b","dim":1,"charpoly":["-16","1"],"traces":["1","0","0","0","-14","0","24","0","0","0","-28","0","-74","0","0","0","-82","0","-92","0","0","0","8","0","71","0","0","0","138","0","-80","0","0","0","-336","0","30","0","0","0","-282","0","-4","0","0","0","240","0","233","0","0","0","130","0","392","0","0","0","596","0","-218","0","0","0","1036","0","436","0","0","0","856","0","-998","0","0","0","-672","0","32","0","0","0","-1508","0","1148","0","0","0","246","0","-1776","0","0","0","1288","0","866","0","0","0","-270","0","1496","0","0","0","-1692","0","406","0","0","0","-786","0","-112","0","0","0","-1968","0","-547","0","0","0","756","0","-1744","0","0","0","652","0","-2208","0","0","0","-1530","0","-516","0","0","0","2072","0","-1932","0","0","0","-1342","0","424","0","0","0","1120","0","262","0","0","0","192","0","2292","0","0","0","-1896","0","3279","0","0","0","2874","0","1704","0","0","0","-1188","0","-3474","0","0","0","-420","0","2296","0","0","0","192","0","4802","0","0","0","-1518","0","-5128","0","0","0","3312","0","3948","0","0","0","2576","0","-1084","0","0","0","56","0","-1920","0","0","0","6068","0","-688","0","0","0","4812","0","2494","0","0","0","-698","0","-3360","0","0","0","-6320","0","-6510","0","0","0","-3262","0","6808","0","0","0","628","0","-224","0","0","0","4862","0","720","0","0","0","5816","0","-1820","0","0","0","-3526","0","256","0","0","0","-1988","0","142","0","0","0","-8842","0","7180","0","0","0","-6768","0","1811","0","0","0","-7374","0","-8344","0","0","0","-592","0","-96","0","0","0","3052","0","-1500","0","0","0","-7608","0","-4758","0","0","0","-4374","0","-3864","0","0","0","7544","0","-5254","0","0","0","5760","0","7804","0","0","0","-6104","0","5106","0","0","0","2240","0","-2640","0","0","0","-4716","0","7302","0","0","0","4382","0","-11984","0","0","0","7224","0","1605","0","0","0","13972","0","-1408","0","0","0","3120","0","-1714","0","0","0","-10212","0","-884","0","0","0","10368","0","9408","0","0","0","-398","0","-656","0","0","0","-448","0","-5098","0","0","0","-10002","0","5920","0","0","0","-840","0","-9270","0","0","0","14304","0","21112","0","0","0","-6516","0","-2626","0","0","0","-5822","0","-5232","0","0","0","-4304","0","11794","0","0","0","-736","0","5544","0","0","0","-3788","0","-3444","0","0","0","13342","0","7896","0","0","0","24864","0","-4390","0","0","0","-5798","0","14656","0","0","0","8412","0","10464","0","0","0","112","0","-6532","0","0","0","14848","0","-2220","0","0","0","-12124","0","-18568","0","0","0","-14364","0","-11316","0","0","0","20544","0","-21660","0","0","0","-17112","0","3780","0","0","0","-11478","0","-23952","0","0","0","-20944","0","-6720","0","0","0","-13114","0","4508","0","0","0","6560","0","-12103","0","0","0","20868","0","23688","0","0","0","-6524","0","22950","0","0","0","-5684","0","6580","0","0","0","-12696","0","768","0","0","0","-7046","0","296","0","0","0","8252","0","11004","0","0","0","6838","0","-23316","0","0","0","568","0","-10558","0","0","0","-36192","0","-3640","0","0","0","1028","0","7360","0","0","0","-1202","0","27552","0","0","0","-3576","0","8650","0","0","0","7658","0","-12656","0","0","0","-17760","0","-3298","0","0","0","-5370","0","16220","0","0","0","5904","0","-19459","0","0","0","-2460","0","20360","0","0","0","24416","0","-17242","0","0","0","-14498","0","-21612","0","0","0","12184","0","-16688","0","0","0","28122","0","-9128","0","0","0","-5700","0","-29458","0","0","0","30912","0","1104","0","0","0","6104","0","19810","0","0","0","10450","0","20784","0","0","0","23300","0","21420","0","0","0","-9620","0","14212","0","0","0","7224","0","23124","0","0","0","15978","0","-2760","0","0","0","-6480","0","-8866","0","0","0","-640","0","-29008","0","0","0","7760","0","35904","0","0","0","9798","0","-13080","0","0","0","328","0","16934","0","0","0","-12208","0","7060","0","0","0","-12520","0","18788","0","0","0","-40608","0","9792","0","0","0","-5936","0","13166","0","0","0","23222","0","9744","0","0","0","-44104","0","-39934","0","0","0","17106","0","-5680","0","0","0","25944","0","-23968","0","0","0","-3668","0","9956","0","0","0","-18864","0","16132","0","0","0","9130","0","-19680","0","0","0","27944","0","-2688","0","0","0","-11482","0","-4612","0","0","0","-32088","0","368","0","0","0","35010","0","-13688","0","0","0","11668","0","-29306","0","0","0","-19106","0","26544","0","0","0","-2664","0","-5345","0","0","0","-45906","0","-13128","0","0","0","240","0","26030","0","0","0","-44202","0","32748","0","0","0","45344","0","-40236","0","0","0","-896","0","-32264","0","0","0","18144","0","-8778","0","0","0","4142","0","-22076","0","0","0","-40376","0","-41856","0","0","0","-22080","0","16632","0","0","0","-11040","0","-10660","0","0","0","48636","0","26396","0","0","0","24368","0","42224","0","0","0","15648","0","5096","0","0","0","-63344","0","2130","0","0","0","18494","0","-21436","0","0","0","-32144","0","-33222","0","0","0","-27846","0","-2256","0","0","0","41052","0","73852","0","0","0","-5706","0","-2688","0","0","0","-36720","0","-23391","0","0","0","-67228","0","39352","0","0","0","-33180","0","-12384","0","0","0","4014","0","-6888","0","0","0","20328","0","21252","0","0","0","-32","0","-11728","0","0","0","71792","0","50974","0","0","0"],"derived":{"al":[[2,null],[3,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"144.4.a.c","letter":"c","dim":1,"charpoly":["-1552","1"],"traces":["1","0","0","0","-6","0","16","0","0","0","12","0","38","0","0","0","126","0","-20","0","0","0","168","0","-89","0","0","0","-30","0","88","0","0","0","-96","0","254","0","0","0","-42","0","52","0","0","0","-96","0","-87","0","0","0","-198","0","-72","0","0","0","-660","0","-538","0","0","0","-228","0","-884","0","0","0","792","0","218","0","0","0","192","0","520","0","0","0","-492","0","-756","0","0","0","-810","0","608","0","0","0","120","0","1154","0","0","0","618","0","-128","0","0","0","-1476","0","1190","0","0","0","462","0","-1008","0","0","0","2016","0","-1187","0","0","0","1284","0","2536","0","0","0","2292","0","-320","0","0","0","726","0","-380","0","0","0","456","0","180","0","0","0","-1590","0","-2432","0","0","0","-528","0","614","0","0","0","2688","0","1852","0","0","0","-2136","0","-753","0","0","0","-1758","0","-1424","0","0","0","-540","0","1982","0","0","0","-1524","0","1512","0","0","0","-2688","0","-2302","0","0","0","-4374","0","1600","0","0","0","-480","0","252","0","0","0","-240","0","-3332","0","0","0","-312","0","1408","0","0","0","4788","0","-2648","0","0","0","2244","0","-5650","0","0","0","-4698","0","576","0","0","0","-1200","0","-718","0","0","0","522","0","-760","0","0","0","6012","0","2016","0","0","0","2046","0","4064","0","0","0","-6072","0","1188","0","0","0","6930","0","-1352","0","0","0","-1068","0","-1186","0","0","0","-2442","0","-2828","0","0","0","-672","0","10963","0","0","0","-4758","0","3960","0","0","0","6384","0","832","0","0","0","3228","0","8476","0","0","0","4632","0","-4822","0","0","0","3426","0","-360","0","0","0","-2520","0","-3382","0","0","0","-1536","0","2788","0","0","0","5304","0","434","0","0","0","1056","0","-6880","0","0","0","6684","0","2630","0","0","0","7422","0","-4752","0","0","0","-10440","0","-6459","0","0","0","-1308","0","-10424","0","0","0","-3168","0","3278","0","0","0","-1140","0","-6140","0","0","0","-3072","0","-1152","0","0","0","-6150","0","21168","0","0","0","-3120","0","-106","0","0","0","1758","0","3344","0","0","0","3048","0","-3670","0","0","0","-10560","0","2952","0","0","0","-9660","0","8462","0","0","0","-11214","0","-8608","0","0","0","9792","0","-7342","0","0","0","-3360","0","-10640","0","0","0","-17412","0","4860","0","0","0","1710","0","-504","0","0","0","-3648","0","-646","0","0","0","6018","0","6712","0","0","0","5364","0","-14144","0","0","0","624","0","1780","0","0","0","9840","0","9652","0","0","0","-6924","0","-1424","0","0","0","-4548","0","-3780","0","0","0","12672","0","-6500","0","0","0","12168","0","-3708","0","0","0","21090","0","3488","0","0","0","768","0","-1152","0","0","0","5238","0","-8588","0","0","0","11088","0","16057","0","0","0","-1596","0","8856","0","0","0","-1044","0","3062","0","0","0","-7140","0","8476","0","0","0","600","0","8320","0","0","0","12546","0","1976","0","0","0","-12","0","-2772","0","0","0","-19290","0","12148","0","0","0","-14952","0","-10366","0","0","0","-7872","0","-2376","0","0","0","7644","0","-1760","0","0","0","-8658","0","-12096","0","0","0","25800","0","16202","0","0","0","7122","0","24136","0","0","0","-3648","0","-4642","0","0","0","6726","0","21220","0","0","0","-12960","0","3421","0","0","0","32004","0","-29792","0","0","0","-15216","0","-3306","0","0","0","10158","0","-29828","0","0","0","1944","0","-7920","0","0","0","-26718","0","-13752","0","0","0","4260","0","22862","0","0","0","1920","0","-5040","0","0","0","-6456","0","-32542","0","0","0","-14214","0","18464","0","0","0","-7092","0","-4356","0","0","0","-7524","0","13228","0","0","0","2280","0","-5292","0","0","0","-28062","0","-5080","0","0","0","9888","0","-27250","0","0","0","14784","0","-2736","0","0","0","-14400","0","-2048","0","0","0","2670","0","-17984","0","0","0","6552","0","16598","0","0","0","-10608","0","-1460","0","0","0","-30072","0","9540","0","0","0","-23616","0","18088","0","0","0","14592","0","24734","0","0","0","22278","0","19040","0","0","0","-25080","0","16130","0","0","0","-29718","0","-7832","0","0","0","840","0","9504","0","0","0","-3684","0","-9524","0","0","0","7392","0","-20444","0","0","0","33906","0","-12096","0","0","0","2616","0","-16128","0","0","0","630","0","20788","0","0","0","-11112","0","-1040","0","0","0","43098","0","14272","0","0","0","13644","0","-2410","0","0","0","-10962","0","12816","0","0","0","23160","0","-23489","0","0","0","4518","0","-18992","0","0","0","42672","0","32078","0","0","0","14406","0","-30620","0","0","0","17568","0","10548","0","0","0","6240","0","-33592","0","0","0","20544","0","-21706","0","0","0","14958","0","32812","0","0","0","-38856","0","40576","0","0","0","1920","0","3240","0","0","0","-2640","0","-24948","0","0","0","-11892","0","28276","0","0","0","8112","0","-5904","0","0","0","36672","0","26080","0","0","0","30096","0","-22606","0","0","0","-49170","0","1740","0","0","0","-9072","0","48314","0","0","0","-34782","0","-7056","0","0","0","-25116","0","8284","0","0","0","15462","0","16128","0","0","0","11616","0","-22047","0","0","0","13812","0","736","0","0","0","-29268","0","-6080","0","0","0","-16674","0","-9720","0","0","0","-31272","0","26244","0","0","0","8736","0","15928","0","0","0","-9600","0","42014","0","0","0"],"derived":{"al":[[2,null],[3,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"144.4.a.d","letter":"d","dim":1,"charpoly":["530","1"],"traces":["1","0","0","0","0","0","-20","0","0","0","0","0","-70","0","0","0","0","0","-56","0","0","0","0","0","-125","0","0","0","0","0","-308","0","0","0","0","0","110","0","0","0","0","0","520","0","0","0","0","0","57","0","0","0","0","0","0","0","0","0","0","0","182","0","0","0","0","0","880","0","0","0","0","0","1190","0","0","0","0","0","-884","0","0","0","0","0","0","0","0","0","0","0","1400","0","0","0","0","0","-1330","0","0","0","0","0","-1820","0","0","0","0","0","-646","0","0","0","0","0","0","0","0","0","0","0","-1331","0","0","0","0","0","-380","0","0","0","0","0","1120","0","0","0","0","0","-2576","0","0","0","0","0","0","0","0","0","0","0","-1748","0","0","0","0","0","-3850","0","0","0","0","0","3400","0","0","0","0","0","2703","0","0","0","0","0","2500","0","0","0","0","0","3458","0","0","0","0","0","0","0","0","0","0","0","-1150","0","0","0","0","0","5236","0","0","0","0","0","0","0","0","0","0","0","-6032","0","0","0","0","0","6160","0","0","0","0","0","3220","0","0","0","0","0","4466","0","0","0","0","0","0","0","0","0","0","0","-7378","0","0","0","0","0","3920","0","0","0","0","0","0","0","0","0","0","0","-2200","0","0","0","0","0","0","0","0","0","0","0","-812","0","0","0","0","0","-4030","0","0","0","0","0","-5600","0","0","0","0","0","-4913","0","0","0","0","0","0","0","0","0","0","0","-10400","0","0","0","0","0","-10640","0","0","0","0","0","10010","0","0","0","0","0","0","0","0","0","0","0","8750","0","0","0","0","0","-992","0","0","0","0","0","-4930","0","0","0","0","0","5720","0","0","0","0","0","-11914","0","0","0","0","0","0","0","0","0","0","0","-3723","0","0","0","0","0","-4340","0","0","0","0","0","12350","0","0","0","0","0","8584","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","1190","0","0","0","0","0","21560","0","0","0","0","0","8246","0","0","0","0","0","0","0","0","0","0","0","17138","0","0","0","0","0","-3640","0","0","0","0","0","-2590","0","0","0","0","0","-14924","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","12710","0","0","0","0","0","19780","0","0","0","0","0","-17600","0","0","0","0","0","7000","0","0","0","0","0","-7700","0","0","0","0","0","-20900","0","0","0","0","0","0","0","0","0","0","0","15136","0","0","0","0","0","0","0","0","0","0","0","-23800","0","0","0","0","0","0","0","0","0","0","0","12040","0","0","0","0","0","-12167","0","0","0","0","0","0","0","0","0","0","0","-22678","0","0","0","0","0","-1640","0","0","0","0","0","17680","0","0","0","0","0","-36400","0","0","0","0","0","0","0","0","0","0","0","-23312","0","0","0","0","0","-17710","0","0","0","0","0","0","0","0","0","0","0","17248","0","0","0","0","0","0","0","0","0","0","0","-29302","0","0","0","0","0","28420","0","0","0","0","0","17390","0","0","0","0","0","26656","0","0","0","0","0","15625","0","0","0","0","0","-1892","0","0","0","0","0","-3990","0","0","0","0","0","-13160","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-20482","0","0","0","0","0","0","0","0","0","0","0","24050","0","0","0","0","0","26600","0","0","0","0","0","0","0","0","0","0","0","16072","0","0","0","0","0","0","0","0","0","0","0","-6160","0","0","0","0","0","36146","0","0","0","0","0","0","0","0","0","0","0","36400","0","0","0","0","0","10780","0","0","0","0","0","15050","0","0","0","0","0","-31376","0","0","0","0","0","0","0","0","0","0","0","23452","0","0","0","0","0","-41470","0","0","0","0","0","12920","0","0","0","0","0","-4606","0","0","0","0","0","38500","0","0","0","0","0","0","0","0","0","0","0","-43400","0","0","0","0","0","-12740","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-39368","0","0","0","0","0","-29120","0","0","0","0","0","12220","0","0","0","0","0","17066","0","0","0","0","0","0","0","0","0","0","0","-24389","0","0","0","0","0","26620","0","0","0","0","0","-46690","0","0","0","0","0","-31304","0","0","0","0","0","0","0","0","0","0","0","-61600","0","0","0","0","0","50150","0","0","0","0","0","20680","0","0","0","0","0","7600","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-44840","0","0","0","0","0","0","0","0","0","0","0","-2756","0","0","0","0","0","-13750","0","0","0","0","0","-3192","0","0","0","0","0","-55510","0","0","0","0","0","0","0","0","0","0","0","-83300","0","0","0","0","0","0","0","0","0","0","0","65073","0","0","0","0","0","50020","0","0","0","0","0","51520","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","45628","0","0","0","0","0","28910","0","0","0"],"derived":{"al":[[2,null],[3,null]],"fricke":null,"sign":null,"cm":-3,"cmInert":86,"cmExact":5}},{"label":"144.4.a.e","letter":"e","dim":1,"charpoly":["2640","1"],"traces":["1","0","0","0","2","0","-24","0","0","0","-44","0","22","0","0","0","-50","0","-44","0","0","0","-56","0","-121","0","0","0","-198","0","160","0","0","0","-48","0","-162","0","0","0","198","0","-52","0","0","0","528","0","233","0","0","0","242","0","-88","0","0","0","-668","0","550","0","0","0","44","0","-188","0","0","0","728","0","154","0","0","0","1056","0","656","0","0","0","236","0","-100","0","0","0","-714","0","-528","0","0","0","-88","0","-478","0","0","0","-1566","0","968","0","0","0","-780","0","-1994","0","0","0","942","0","-112","0","0","0","1200","0","605","0","0","0","-492","0","-1408","0","0","0","-2692","0","1056","0","0","0","-1626","0","684","0","0","0","-968","0","-396","0","0","0","-302","0","-1352","0","0","0","320","0","3142","0","0","0","1344","0","-3036","0","0","0","-264","0","-1713","0","0","0","2826","0","2904","0","0","0","3084","0","-2418","0","0","0","-324","0","2200","0","0","0","-960","0","2882","0","0","0","-1086","0","-88","0","0","0","4752","0","396","0","0","0","1936","0","3476","0","0","0","-104","0","-3840","0","0","0","-1100","0","-928","0","0","0","156","0","-1634","0","0","0","902","0","1056","0","0","0","1616","0","4818","0","0","0","466","0","-968","0","0","0","-2140","0","2464","0","0","0","-770","0","3888","0","0","0","-7400","0","484","0","0","0","2794","0","-8624","0","0","0","5324","0","-1874","0","0","0","-3338","0","-7172","0","0","0","-4752","0","-2413","0","0","0","-5214","0","-1336","0","0","0","-1232","0","1248","0","0","0","1100","0","-396","0","0","0","-4056","0","2154","0","0","0","7386","0","8712","0","0","0","2200","0","-2662","0","0","0","-12672","0","1132","0","0","0","-376","0","-3342","0","0","0","-7040","0","2640","0","0","0","2244","0","-6522","0","0","0","11230","0","1456","0","0","0","1848","0","-4923","0","0","0","308","0","-7120","0","0","0","-5808","0","6350","0","0","0","-4356","0","7900","0","0","0","10368","0","2112","0","0","0","-8830","0","2800","0","0","0","1312","0","9878","0","0","0","13134","0","3520","0","0","0","7128","0","906","0","0","0","16032","0","472","0","0","0","-5412","0","-4642","0","0","0","6050","0","-13200","0","0","0","656","0","9490","0","0","0","2464","0","-5544","0","0","0","7652","0","-1428","0","0","0","446","0","-8712","0","0","0","-1056","0","1562","0","0","0","-10582","0","10768","0","0","0","-9876","0","4512","0","0","0","2288","0","5324","0","0","0","-352","0","-3564","0","0","0","-956","0","15176","0","0","0","-8844","0","9900","0","0","0","-17472","0","-19404","0","0","0","16488","0","-3132","0","0","0","12954","0","-3696","0","0","0","1936","0","-23232","0","0","0","-10970","0","16940","0","0","0","-8000","0","-9031","0","0","0","4356","0","-1560","0","0","0","-10252","0","198","0","0","0","-3988","0","15268","0","0","0","8712","0","-15744","0","0","0","-20854","0","-1144","0","0","0","-19316","0","1884","0","0","0","-7018","0","-24420","0","0","0","6776","0","23234","0","0","0","-5664","0","-10648","0","0","0","-10604","0","-7040","0","0","0","13838","0","2400","0","0","0","-3960","0","-5942","0","0","0","1210","0","3040","0","0","0","11616","0","-2530","0","0","0","19206","0","-10996","0","0","0","17136","0","14141","0","0","0","8100","0","6680","0","0","0","-2816","0","5126","0","0","0","-6274","0","-9084","0","0","0","-23656","0","29392","0","0","0","6762","0","-5384","0","0","0","15276","0","11054","0","0","0","2112","0","11088","0","0","0","-24200","0","-21278","0","0","0","-8926","0","11472","0","0","0","8116","0","-3252","0","0","0","5324","0","11764","0","0","0","1368","0","-9900","0","0","0","4698","0","7128","0","0","0","37584","0","24638","0","0","0","-8960","0","-1936","0","0","0","16624","0","-23232","0","0","0","23958","0","-30216","0","0","0","2600","0","-3322","0","0","0","8272","0","14692","0","0","0","28600","0","-604","0","0","0","18720","0","29616","0","0","0","-2704","0","2894","0","0","0","-14762","0","47856","0","0","0","-14696","0","-7678","0","0","0","-27390","0","-19360","0","0","0","-8712","0","-32032","0","0","0","6284","0","-19756","0","0","0","-22608","0","12100","0","0","0","-38854","0","-26400","0","0","0","-6776","0","2688","0","0","0","14278","0","716","0","0","0","-6072","0","2288","0","0","0","23538","0","6616","0","0","0","27236","0","12070","0","0","0","-11650","0","-528","0","0","0","-42024","0","14815","0","0","0","-3426","0","-14520","0","0","0","9072","0","2414","0","0","0","37686","0","-40644","0","0","0","-18656","0","5652","0","0","0","-28864","0","-4136","0","0","0","11808","0","-13002","0","0","0","-49490","0","-1100","0","0","0","-14104","0","33792","0","0","0","-23232","0","6168","0","0","0","-31680","0","-12100","0","0","0","-4836","0","12716","0","0","0","-39632","0","-10384","0","0","0","64608","0","-5704","0","0","0","16016","0","19602","0","0","0","-8162","0","-10252","0","0","0","4400","0","-55110","0","0","0","-16374","0","-11088","0","0","0","8460","0","3388","0","0","0","20502","0","-1920","0","0","0","39024","0","-4191","0","0","0","5764","0","36520","0","0","0","20244","0","-16416","0","0","0","-50034","0","31416","0","0","0","37128","0","-2172","0","0","0","2912","0","-27808","0","0","0","-176","0","-28514","0","0","0"],"derived":{"al":[[2,null],[3,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"144.4.a.f","letter":"f","dim":1,"charpoly":["-382","1"],"traces":["1","0","0","0","16","0","12","0","0","0","-64","0","58","0","0","0","32","0","136","0","0","0","128","0","131","0","0","0","-144","0","-20","0","0","0","192","0","-18","0","0","0","-288","0","200","0","0","0","-384","0","-199","0","0","0","496","0","-1024","0","0","0","128","0","-458","0","0","0","928","0","496","0","0","0","-512","0","-602","0","0","0","-768","0","-1108","0","0","0","-704","0","512","0","0","0","-960","0","696","0","0","0","2176","0","206","0","0","0","432","0","68","0","0","0","384","0","-518","0","0","0","-960","0","2048","0","0","0","384","0","2765","0","0","0","96","0","-796","0","0","0","-512","0","1632","0","0","0","1824","0","2160","0","0","0","-3712","0","-2304","0","0","0","-688","0","844","0","0","0","-320","0","118","0","0","0","1536","0","-3576","0","0","0","-384","0","1167","0","0","0","2448","0","1572","0","0","0","4224","0","-510","0","0","0","-288","0","-2048","0","0","0","384","0","-3454","0","0","0","-3216","0","-1708","0","0","0","-1728","0","-4608","0","0","0","-8704","0","-2320","0","0","0","3200","0","-240","0","0","0","1856","0","116","0","0","0","-1344","0","4594","0","0","0","5056","0","-6144","0","0","0","3712","0","-978","0","0","0","-3184","0","7888","0","0","0","-1856","0","-8192","0","0","0","7808","0","-216","0","0","0","-1024","0","7936","0","0","0","1328","0","5812","0","0","0","-8384","0","8386","0","0","0","-640","0","-4832","0","0","0","-3456","0","-3889","0","0","0","6384","0","2048","0","0","0","7424","0","2400","0","0","0","-7328","0","3312","0","0","0","-9984","0","2586","0","0","0","-2832","0","9216","0","0","0","4352","0","7598","0","0","0","-4608","0","5920","0","0","0","7936","0","-4674","0","0","0","1280","0","-6504","0","0","0","9024","0","-4362","0","0","0","8768","0","-8192","0","0","0","6144","0","11637","0","0","0","-9632","0","-4564","0","0","0","5952","0","-8770","0","0","0","-8352","0","1096","0","0","0","-10368","0","-12288","0","0","0","-3248","0","4096","0","0","0","-17728","0","-6106","0","0","0","7008","0","-1160","0","0","0","1152","0","1590","0","0","0","1536","0","-11264","0","0","0","192","0","9074","0","0","0","4192","0","-5496","0","0","0","5248","0","-8222","0","0","0","17408","0","-16236","0","0","0","-14528","0","-15360","0","0","0","6304","0","18432","0","0","0","11136","0","1958","0","0","0","4048","0","-16988","0","0","0","-6720","0","5952","0","0","0","-12800","0","17816","0","0","0","-9728","0","-1044","0","0","0","3296","0","8444","0","0","0","15360","0","-4608","0","0","0","-6144","0","-6624","0","0","0","6912","0","6912","0","0","0","-19920","0","-7224","0","0","0","1088","0","24576","0","0","0","3680","0","11720","0","0","0","-640","0","4217","0","0","0","-16704","0","6144","0","0","0","12736","0","11754","0","0","0","-8288","0","18904","0","0","0","-19584","0","-13296","0","0","0","3088","0","11600","0","0","0","21440","0","-15360","0","0","0","22624","0","6000","0","0","0","16768","0","19922","0","0","0","-8448","0","-31744","0","0","0","3584","0","-2720","0","0","0","1984","0","6144","0","0","0","-14976","0","25738","0","0","0","44240","0","8548","0","0","0","-22272","0","8558","0","0","0","-10368","0","13088","0","0","0","-11520","0","-14839","0","0","0","-576","0","4412","0","0","0","-12736","0","-11542","0","0","0","-30176","0","-21288","0","0","0","-17024","0","-8192","0","0","0","2256","0","-8192","0","0","0","-23808","0","-26242","0","0","0","26112","0","-18432","0","0","0","29312","0","-24590","0","0","0","-2864","0","2472","0","0","0","7616","0","29184","0","0","0","28768","0","-2168","0","0","0","34560","0","-9216","0","0","0","-18000","0","-2448","0","0","0","5184","0","3506","0","0","0","-2560","0","-59392","0","0","0","-15616","0","816","0","0","0","-18864","0","15036","0","0","0","6400","0","-19126","0","0","0","-31744","0","17392","0","0","0","32384","0","-11008","0","0","0","4608","0","27708","0","0","0","13504","0","-37246","0","0","0","-4192","0","-6216","0","0","0","7424","0","26882","0","0","0","-17232","0","-2620","0","0","0","-39168","0","32768","0","0","0","1888","0","-31816","0","0","0","-11520","0","-26564","0","0","0","8272","0","-12288","0","0","0","38528","0","24576","0","0","0","-9184","0","19832","0","0","0","-57216","0","27200","0","0","0","15216","0","39772","0","0","0","18304","0","4906","0","0","0","-6368","0","-6144","0","0","0","-15360","0","-3653","0","0","0","18672","0","33180","0","0","0","-2304","0","-24802","0","0","0","15072","0","-1800","0","0","0","-7552","0","39168","0","0","0","70912","0","28768","0","0","0","1152","0","20838","0","0","0","47744","0","-28280","0","0","0","-7424","0","-9552","0","0","0","-52224","0","67584","0","0","0","2880","0","15872","0","0","0","-8160","0","5912","0","0","0","26240","0","45056","0","0","0","-6144","0","-35620","0","0","0","-29696","0","-2358","0","0","0","-3232","0","-27064","0","0","0","-32768","0","-11478","0","0","0","-39984","0","-36864","0","0","0","-24192","0","-34916","0","0","0","-39456","0","6144","0","0","0","21888","0","-29391","0","0","0","-55264","0","41668","0","0","0","51648","0","25920","0","0","0","55776","0","61440","0","0","0","36096","0","-51456","0","0","0","25600","0","-42532","0","0","0","-27328","0","29806","0","0","0"],"derived":{"al":[[2,null],[3,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}},{"label":"144.4.a.g","letter":"g","dim":1,"charpoly":["-2992","1"],"traces":["1","0","0","0","18","0","-8","0","0","0","36","0","-10","0","0","0","-18","0","100","0","0","0","72","0","199","0","0","0","234","0","16","0","0","0","-144","0","-226","0","0","0","-90","0","-452","0","0","0","432","0","-279","0","0","0","-414","0","648","0","0","0","-684","0","422","0","0","0","-180","0","-332","0","0","0","-360","0","26","0","0","0","-288","0","-512","0","0","0","-1188","0","-324","0","0","0","630","0","80","0","0","0","1800","0","-1054","0","0","0","-558","0","-8","0","0","0","1764","0","1622","0","0","0","1134","0","1296","0","0","0","144","0","-35","0","0","0","1332","0","592","0","0","0","-1908","0","-800","0","0","0","-954","0","-2564","0","0","0","-360","0","4212","0","0","0","738","0","2440","0","0","0","288","0","-2554","0","0","0","-576","0","820","0","0","0","1944","0","-2097","0","0","0","1242","0","-1592","0","0","0","1116","0","1070","0","0","0","-4068","0","-648","0","0","0","-576","0","-1342","0","0","0","-1422","0","-872","0","0","0","-1872","0","-1620","0","0","0","3600","0","-1340","0","0","0","-8136","0","-128","0","0","0","180","0","-4880","0","0","0","2700","0","254","0","0","0","-4410","0","7776","0","0","0","-3888","0","5138","0","0","0","-5022","0","-1000","0","0","0","4788","0","2592","0","0","0","5886","0","1808","0","0","0","2232","0","-7452","0","0","0","666","0","5536","0","0","0","7164","0","2126","0","0","0","2934","0","-2036","0","0","0","720","0","-4589","0","0","0","-2286","0","-12312","0","0","0","-720","0","3616","0","0","0","7596","0","-1244","0","0","0","1224","0","1898","0","0","0","9162","0","8424","0","0","0","-1800","0","-1990","0","0","0","-3456","0","4348","0","0","0","-5976","0","7154","0","0","0","576","0","4976","0","0","0","-1836","0","5894","0","0","0","-11106","0","-6480","0","0","0","13176","0","3141","0","0","0","468","0","6112","0","0","0","3312","0","-13618","0","0","0","-2340","0","-692","0","0","0","-8064","0","-5184","0","0","0","-12654","0","-1296","0","0","0","-9216","0","-106","0","0","0","4014","0","-160","0","0","0","-8136","0","3914","0","0","0","5472","0","-21384","0","0","0","4428","0","-15490","0","0","0","-3582","0","-3376","0","0","0","6768","0","1298","0","0","0","7200","0","2248","0","0","0","-9612","0","11340","0","0","0","-162","0","-3240","0","0","0","1440","0","1370","0","0","0","15354","0","13024","0","0","0","-14436","0","2656","0","0","0","-16272","0","19900","0","0","0","12096","0","2260","0","0","0","-18972","0","-6056","0","0","0","7524","0","-4212","0","0","0","2880","0","-5276","0","0","0","4968","0","-10044","0","0","0","-10998","0","-208","0","0","0","-144","0","15552","0","0","0","8838","0","-22436","0","0","0","-288","0","-6983","0","0","0","900","0","31752","0","0","0","-10044","0","-4762","0","0","0","29196","0","6004","0","0","0","23400","0","4096","0","0","0","5274","0","4520","0","0","0","-12420","0","20412","0","0","0","21366","0","-21140","0","0","0","14328","0","3266","0","0","0","9504","0","-14904","0","0","0","17028","0","1600","0","0","0","-9522","0","2592","0","0","0","-10296","0","-3382","0","0","0","-630","0","20656","0","0","0","-4320","0","-22114","0","0","0","-19962","0","604","0","0","0","-5040","0","-899","0","0","0","4068","0","-152","0","0","0","10656","0","2790","0","0","0","-4194","0","7252","0","0","0","-6696","0","-24624","0","0","0","-28422","0","-34344","0","0","0","-19908","0","14318","0","0","0","-14400","0","16848","0","0","0","15192","0","30050","0","0","0","-22158","0","8432","0","0","0","-3132","0","-17172","0","0","0","4140","0","20932","0","0","0","-46152","0","1620","0","0","0","21834","0","-22600","0","0","0","4464","0","12446","0","0","0","1152","0","-6480","0","0","0","-12528","0","64","0","0","0","46566","0","-11576","0","0","0","8136","0","-29338","0","0","0","-11952","0","-2540","0","0","0","-18792","0","13284","0","0","0","-14112","0","-4832","0","0","0","43920","0","-20818","0","0","0","-12042","0","-12976","0","0","0","6840","0","13058","0","0","0","11826","0","3184","0","0","0","-9000","0","-12960","0","0","0","-45972","0","-11996","0","0","0","-9072","0","-4220","0","0","0","-6966","0","-7776","0","0","0","936","0","-10368","0","0","0","40806","0","17980","0","0","0","14760","0","-45200","0","0","0","12834","0","37864","0","0","0","42516","0","45638","0","0","0","5022","0","34992","0","0","0","17496","0","30367","0","0","0","-37746","0","280","0","0","0","-16272","0","32174","0","0","0","38934","0","-29780","0","0","0","-48096","0","22356","0","0","0","-18432","0","3320","0","0","0","-10656","0","21302","0","0","0","7470","0","-764","0","0","0","32328","0","-4736","0","0","0","43200","0","20088","0","0","0","3744","0","7452","0","0","0","19260","0","36316","0","0","0","-13392","0","-42768","0","0","0","15264","0","-38072","0","0","0","3600","0","-44974","0","0","0","12798","0","-27900","0","0","0","-11664","0","34874","0","0","0","-17190","0","-6480","0","0","0","40284","0","-260","0","0","0","-15498","0","-10368","0","0","0","7632","0","-29535","0","0","0","-24156","0","-37160","0","0","0","18468","0","20512","0","0","0","-10386","0","22680","0","0","0","44136","0","-25596","0","0","0","-32544","0","28432","0","0","0","-15696","0","-39778","0","0","0"],"derived":{"al":[[2,null],[3,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.303,"computed":"atlas","estimate":{"seconds":0.639,"low":0.39,"high":1.105,"bytes":2077044},"url":"https://sagebrush.space/atlas/mf/144.4.a"}