{"label":"45.4.a.e","letter":"e","dim":1,"charpoly":["85","1"],"traces":["1","5","0","17","-5","0","-30","45","0","-25","50","0","-20","-150","0","89","-10","0","-44","-85","0","250","120","0","25","-100","0","-510","-50","0","108","85","0","-50","150","0","-40","-220","0","-225","400","0","280","850","0","600","-280","0","557","125","0","-340","-610","0","-250","-1350","0","-250","50","0","-518","540","0","-287","100","0","-180","-170","0","750","700","0","-410","-200","0","-748","-1500","0","-516","-445","0","2000","660","0","50","1400","0","2250","-1500","0","600","2040","0","-1400","220","0","-1630","2785","0","425","-450","0","770","-900","0","-3050","660","0","1754","-1250","0","-2670","-310","0","-600","-850","0","250","300","0","1169","-2590","0","1836","-125","0","-1070","-2115","0","500","1950","0","1320","-900","0","-450","1050","0","1676","2550","0","3500","-1000","0","250","-2050","0","-680","2050","0","448","-1980","0","-7500","-540","0","-100","-2580","0","-425","-3600","0","-1900","6800","0","3300","1920","0","-1797","250","0","4760","2550","0","-750","4450","0","-7500","3650","0","-4342","3000","0","5400","200","0","-500","-4760","0","1100","-3500","0","3350","-8150","0","9469","90","0","3664","1125","0","-2250","1500","0","-2000","3850","0","-1780","-2200","0","-268","-10370","0","3300","-1400","0","-3240","8770","0","-4250","200","0","-3670","-2550","0","-1550","3760","0","-1434","-3000","0","-2250","-3450","0","1400","850","0","1500","-4900","0","4822","5845","0","-8806","-2785","0","880","4860","0","-625","-4650","0","6000","-5350","0","-8279","5130","0","1200","1700","0","9750","-1280","0","3050","6600","0","-3060","3350","0","5512","-890","0","5250","1250","0","4920","8380","0","6750","4500","0","-6900","11900","0","-5000","-12000","0","-4813","1250","0","-6970","1530","0","-250","-1800","0","10250","-2400","0","-8400","2240","0","-3916","2590","0","3040","-25500","0","-2700","-5700","0","3110","-500","0","-8772","-950","0","-2500","1435","0","-18000","440","0","-500","-9500","0","18000","8400","0","2292","11220","0","9600","900","0","-7730","-8985","0","850","5400","0","-6420","12600","0","12750","-1120","0","1186","-3750","0","4250","3630","0","-3500","-25500","0","18250","-1800","0","-4923","-21710","0","10200","2050","0","8490","10680","0","1000","18300","0","100","-2500","0","-12600","1000","0","-8084","3740","0","-17500","-9480","0","7500","16750","0","-27710","-10950","0","-1200","25065","0","450","2580","0","13840","18320","0","2225","9300","0","-2160","-7650","0","7500","-2000","0","-2854","-10000","0","13090","-1500","0","-3300","-1700","0","-11000","1150","0","-11162","-1340","0","-27450","-250","0","15540","11220","0","-7000","-1200","0","1510","-16200","0","29818","-5280","0","424","-11250","0","1000","12360","0","7500","-18350","0","8610","-1300","0","20000","-5270","0","18800","-3000","0","-7190","-7170","0","-10200","-150","0","2670","-4450","0","-17250","1180","0","5400","7000","0","2250","14000","0","-1100","5100","0","-24500","-14100","0","800","24110","0","19873","8150","0","-9850","-23310","0","-13925","-2450","0","500","4400","0","9612","-21000","0","-17036","-2125","0","-23250","-20600","0","2250","30000","0","-18190","5750","0","12300","-24475","0","25650","-3850","0","-14000","6000","0","4500","-15500","0","-13940","33150","0","-6400","-1080","0","2233","15250","0","22440","-8000","0","-3300","-8100","0","16750","27850","0","-20478","27560","0","-850","-8770","0","12040","17850","0","6250","2200","0","15480","24600","0","28492","23550","0","-5600","13350","0","22500","-6120","0","1550","-34500","0","31500","-11700","0","-8188","-17000","0","-60000","3000","0","11690","-24065","0","4250","-19800","0","-30500","-18450","0","7650","21060","0","-4752","-1250","0","-3560","-22910","0","-1500","34850","0","-12000","-1400","0","-11002","-42000","0","7616","-5845","0","4630","-3740","0","12950","5600","0","24040","15200","0","-67500","-1890","0","19244","-9180","0","-28500","45000","0","625","15550","0","-1700","400","0","15892","-23220","0","-4750","5350","0","-11140","-12500","0","10575","-12600","0","7260","-61200","0","2200","7400","0","2500","-2500","0","-32300","-4790","0","-9750","35600","0","42000","-1450","0","11818","11460","0","29700","-6600","0","-6000","32640","0","4500","-25900","0","5550","-38650","0","-30549","12930","0","48900","2250","0","27000","32580","0","-5250","-32100","0","24920","12200","0","10228","43350","0","-5600","-8380","0","-4000","5930","0","-12750","8350","0","1760","-14350","0","18150","13500","0","-14954","-17500","0","-67500","12960","0","5000","62050","0","-9000","29400","0","-23100","-24615","0","-73814","-1250","0","-16330","27000","0","10250","-2800","0","30800","42450","0","10200","-9000","0","-9524","3400","0","91500","-28600","0","-10250","500","0","-8500","-19800","0","-8252","-24920","0","5000","-2240","0","-24920","-40420","0","9900","27900","0","-52620","-59500","0","-47400","-1000","0","-11506","37500","0","56950","-12510","0","2700","-73350","0","-54750","-17600","0","35000","-6000","0","49573","500","0","-1100","1530","0","12900","9300","0","10360","69200","0","62288","-4490","0","2800","2125","0","46500","-20500","0","18000","-10800","0","-20250","28600","0","10068","25500","0","-10000","9500","0","-12320","-14270","0","-34000","-14250","0","6830","34650","0","-7500","-8920","0","-3534","-16500","0","5740","-5570","0","-9600","-37400","0","5750","-8000","0","-21889","-55810","0","-4556","8985","0","-35070","-54290","0","-1250","-4800","0","5160","77700","0","29700","7670","0","25804","-23800","0","-6000","400","0","-12750","7550","0","-55080","-25800","0","3600","78930","0","-26400","3750","0","-35100","2120","0","-22250","-18700","0","-2980","3400","0","61800","-35880","0","32100","37500","0","-62390","12320","0","-18250","63450","0","-6500","-5400","0","6100","100000","0","-13950","21710","0","45240","63920","0","-15000","33200","0","33000","-35950","0","-24378","-58500","0","35356","-27000","0","-750","-14000","0","-1000","13350","0","-4250","-25700","0","-24508","-58650","0","5900","2500","0","52890","27000","0","23800","38050","0","48000","4450","0","70000","-29640","0","8200","-5500","0","13500","15170","0","17500","-83300","0","-70500","-31500","0","-18127","4000","0","81974","-16750","0","-5470","52605","0","40750","15150","0","-50280","-49250","0","-46102","31190","0","-75000","-47345","0","-12250","-7560","0","-450","2500","0","14960","33600","0","32672","9180","0","-105000","-18320","0","-4740","-85180","0","-5625"],"space":"45.4.a","level":45,"weight":4,"T":[[2,1],[7,3]],"status":"proven","derived":{"al":[[3,null],[5,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/45.4.a.e"}