/*
www-ATLAS of Group Representations.
M22 represented as 55 x 55 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,55,[
"0100000000000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000000000000000000000000000001000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"0000000000000000000000000000000000010000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000000100000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000000000000000000000000000000000000100000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000000010000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000100000",
"0000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000000000010",
"0000000000000000000000000010000000000000000000000000000",
"4301321231133440404323001121414221013013144420014112143",
"0000000000000000000000000001000000000000000000000000000",
"0344314021402110041442413040440000204033321133021243212",
"3210400040101342022323001341233310242210401202040300330",
"0000000000000000000000000000010000000000000000000000000",
"2302003040301024130411342223124102134230200314000400130",
"0000000000000000000000000000000100000000000000000000000",
"1323441202432210444401442312032343422004233241123324131",
"0000000000000000000000000000000010000000000000000000000",
"2044423141242032223211223442040144243342044121040412113",
"0000000000000000000000000000000000100000000000000000000",
"2022110232433011233342424331402112033302144021024122113",
"3100114330424013401323242243110210022024133442003220131",
"0000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000100000000000000000",
"1331313320420112110344222102113200123314233442013124002"]);

y:=CambridgeMatrix(1,F,55,[
"0010000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0221110420000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"4001410010000000000000000000000000000000000000000000000",
"0444440040000000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000",
"0000000000000000000000000000000010000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000000001000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000100000000",
"1021242104011004000404001030300000010020000000000000000",
"0000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000001000",
"0000000000010000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000001",
"4443320021114434210112401123201331031024431013124330014",
"0000000000001000000000000000000000000000000000000000000",
"1224124310044233100342030114032134033021201012131010141",
"3442221423243134003331332211301044320203114013021340402",
"0000000000000000000000000000000000010000000000000000000",
"4041434320003444210320113331221033030043201040412213240",
"0240123130100440124411234134104120202212302334330122401",
"0333324313341321400330201200040421310121230001404043443",
"0000000000000010000000000000000000000000000000000000000",
"0321021212000344411441443034320441133412414023134331011",
"4412033240422230422332421212040002422044324200134213212",
"1410023030331423013301432133402010202134332144100120001",
"2411031432340340243243312412104321432213102342404222342",
"0000000000000000000000000000100000000000000000000000000",
"0032213344242103211240011400133420134022022420310322102",
"3304231200040220014243304243112042212241240412043144424",
"3421002002240034240413221443412113310130243221022023301"]);

G<x,y>:=MatrixGroup<55,F|x,y>;
print "Group G is M22 < GL(55,GF(5))";