{"label":"50.4.a.d","letter":"d","dim":1,"charpoly":["-28","1"],"traces":["1","2","2","4","0","4","26","8","-23","0","-28","8","12","52","0","16","-64","-46","-60","0","52","-56","-58","16","0","24","-100","104","90","0","-128","32","-56","-128","0","-92","236","-120","24","0","242","104","362","-112","0","-116","226","32","333","0","-128","48","-108","-200","0","208","-120","180","-20","0","542","-256","-598","64","0","-112","-434","-256","-116","0","-1128","-184","632","472","0","-240","-728","48","-720","0","421","484","-478","208","0","724","180","-224","-490","0","312","-232","-256","452","0","64","1456","666","644","0","-578","-256","1462","96","0","-216","966","-400","370","0","472","416","-528","-240","0","360","-276","-40","-1664","0","-547","1084","484","-512","0","-1196","-1534","128","724","0","12","-224","-1560","-868","0","-512","-1224","-232","3100","0","452","-2256","-336","-368","0","1264","666","944","250","0","2152","-480","1472","-1456","0","96","-524","-1440","-216","0","-1508","842","-3518","968","0","-956","-534","416","-2053","0","1380","1448","4252","360","0","-448","-40","-980","2500","0","-2578","624","1084","-464","0","-512","1792","904","-2600","0","-768","128","-2608","2912","0","1332","5116","1288","-3480","0","-868","-1156","2340","-512","0","2924","1334","192","1680","0","3132","-432","-2256","1932","0","-800","-3328","740","1264","0","-768","944","62","832","0","-1056","-5314","-480","-190","0","-1456","720","-2408","-552","0","-80","-1440","-3328","-5680","0","-278","-1094","3542","2168","0","968","-720","-1024","-956","0","3252","-2392","1624","-3068","0","256","1536","1448","6136","0","-2070","24","-4858","-448","0","-3120","-980","-1736","2610","0","-5168","-1024","624","-2448","0","-464","-1924","6200","2944","0","3042","904","-1718","-4512","0","-672","6292","-736","-817","0","2912","2528","2292","1332","0","1888","2800","500","-696","0","9412","4304","-1156","-960","0","2944","5406","-2912","2924","0","-5688","192","7352","-1048","0","-2880","-3484","-432","-2520","0","1932","-3016","3840","1684","0","-7036","740","1936","5876","0","-7868","-1912","-5428","-1068","0","832","656","-4106","-1056","0","3584","2760","-260","2896","0","8504","-5754","720","-3110","0","-1200","-896","-7808","-80","0","-1960","-3328","5000","-9240","0","-3259","-5156","-1094","1248","0","2168","-3214","-928","-5566","0","-2808","-1024","-348","3584","0","1808","1080","-5200","4940","0","-3068","-1536","6142","256","0","-5216","-8326","5824","3050","0","3712","2664","24","10232","0","2576","5396","-6960","-3120","0","14482","-1736","-1536","-2312","0","4680","-6608","-1024","-1090","0","-2448","5848","-520","2668","0","384","6200","3360","-7180","0","-8138","6264","-5198","-864","0","-4512","14092","3864","-672","0","-208","-1600","12992","-6656","0","1480","3480","2528","1080","0","-7659","-1536","-9078","1888","0","124","500","1664","14310","0","-6776","-2112","4304","-10628","0","-960","-2344","-380","6400","0","11382","-2912","16062","1440","0","-4816","17166","-1104","-11284","0","-1048","-160","-10136","-2880","0","-6656","2484","-11360","7520","0","2832","-556","-3016","-2188","0","7084","-11814","4336","-7036","0","14052","1936","-5760","-1440","0","-2048","-29328","-1912","7620","0","-1068","6504","-1818","-4784","0","3248","-4106","-6136","17850","0","16432","512","6000","3072","0","2896","-6328","12272","8504","0","-19238","-4140","-6278","48","0","-9716","8192","-896","-8803","0","460","-6240","2904","-1960","0","-3472","5000","5220","-9324","0","-9818","-10336","-5156","-2048","0","1248","-12514","-4896","-12466","0","-5400","-928","-18720","-3848","0","12400","10596","5888","4344","0","3584","6084","14002","1808","0","-3436","10946","-9024","-7330","0","5812","-1344","-1536","12584","0","-1472","16736","-1634","-5216","0","-12428","5824","3024","5056","0","4584","-7434","2664","7680","0","10232","3776","25872","5600","0","1000","-6960","-1392","-3720","0","-12958","18824","9982","8608","0","-2312","-7214","-1920","4680","0","2712","5888","-4828","10812","0","-5824","27656","5848","-21220","0","5800","-11376","-12740","384","0","14704","3360","-2096","-15104","0","17672","-5760","6264","-6968","0","-864","3996","-5040","25944","0","7322","3864","-8238","-6032","0","7680","6426","3368","560","0","-6656","-14072","-5908","1480","0","3872","-14536","11752","-26780","0","-24538","-15736","-1536","-3824","0","-10856","-5220","-2136","124","0","-15176","1664","-28848","1312","0","-8212","-26884","-2112","37856","0","-10628","7168","14282","5520","0","-520","-380","5792","-1296","0","-3428","17008","16744","-11508","0","1440","-15488","-6220","-4816","0","26942","-2400","-14160","-1792","0","-15616","-15028","-160","-1950","0","16560","-3920","7424","-6656","0","10000","-11360","-18480","12080","0","38012","-6518","-556","-10312","0","-2188","17226","2496","-4283","0","-23168","4336","-788","-6428","0","-1856","12152","-11132","-2060","0","-1440","-5616","-3258","-2048","0","-696","10994","7168","25116","0","-4528","3616","6504","2160","0","-10400","18236","9880","3248","0","-18678","-6136","9620","-3072","0","12284","-240","512","27390","0","3072","-10432","9252","-16652","0","11648","12272","6100","-14520","0","31584","7424","-9000","5328","0","48","5726","20464","-9716","0","-13728","5152","6504","10792","0","-13920","27236","-6240","-14464","0","11270","28964","-17696","-3472","0","-3072","5220","-4624","10950","0","-8828","9360","-10336","-13216","0","-2048","-21720","-2180","-7176","0","-16058","-4896","41862","11696","0","-1040","-12154","5336","-15390","0","-3848","768","-21312","12400","0","6720","12800","-14360","-4280","0","-16289","-16276","6084","12528","0","-10396","-14222","-1728","-3436","0","-13688","-9024","14452","28184","0","7728","-22584","-1344","-26740","0","12584","-416","-498","-3200","0","25984","-1634","-13312","20160","0","-5208","2960","-33488","6960","0","5056","-13244","2160","4584","0","40842","-15318","-12078","-3072","0","-18156","-18294","3776","-39884","0","-11788","248","-13560","1000","0","3328","-1392","28620","-11520","0","6912","-13552","18824","-4224","0","8608","22566","-21256","13294","0","-6768","-1920","13384","-4688","0","-760","312","12800","22200","0","10812","22764","-13536","-5824","0","32124","-33626","2880","-6330","0","-19980","-9632","-11376","34332","0","-2208","-19544","-22568","14704","0","-9898","-2096","-14036","-320","0","-20272","41406","-5760","7584","0","-6968","-13312","25432","4968","0","-22720","-5040","15040","-31824","0","-13407","5664","-22218","-1112","0","-6032","12106","-4376","7680","0","7812","14168","80600","-23628","0","8672","12576","-14072","13720","0","-8510","28104","4342","3872","0","-11520","11752","-2880","-20996","0","26272","-4096","-15736","-58656","0","-3824","44796","15240","-23600","0"],"space":"50.4.a","level":50,"weight":4,"T":[[3,1],[7,1]],"status":"proven","derived":{"al":[[2,-1],[5,null]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/50.4.a.d"}