/*
www-ATLAS of Group Representations.
M22:2 represented as 45 x 45 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,45,[
"010000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000000000000001000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000000000000001000000000000000000000",
"000000000000000000000000010000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000000000000000000010000000000000000",
"000000000000001000000000000000000000000000000",
"000000000000000000000000000000010000000000000",
"000000000000000000000000000000001000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000000000000000000001000000000",
"000000000000000001000000000000000000000000000",
"344350205002001000006000001000000000000000000",
"000000000000000000000000000000000000001000000",
"000000000000000000010000000000000000000000000",
"000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000010",
"000000000000000000000100000000000000000000000",
"000000000000000000000010000000000000000000000",
"144524011312161124106514401510113632552205114",
"223525055566262516236364523165422300336405205",
"000000000000000000000000100000000000000000000",
"554651345466056644046141112211335506115245562",
"452642404346022230205200410156130232546561545",
"000000000000000000000000000100000000000000000",
"160324220516133414265413642314513613434231030",
"331350506335344224312631104612603023151032216",
"000000000000000000000000000001000000000000000",
"166110600000600000100000600000000001000000100",
"000000000000000000000000000000100000000000000",
"645010001000003000000000003000000000000000006"]);

y:=CambridgeMatrix(1,F,45,[
"001000000000000000000000000000000000000000000",
"266000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"106010000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000100000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000100000000000000000",
"000000000000000000000000000001000000000000000",
"000000000000000000000000000000100000000000000",
"000000100000000000000000000000000000000000000",
"000000000000000000000000000000000100000000000",
"000000000000000000000000000000000010000000000",
"000000010000000000000000000000000000000000000",
"000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000001",
"155545410064161314023306222663335126014234155",
"320104034313155031053412061402621563115625004",
"135425431316203561251646535631445313102051026",
"423463326213343634334123441633623160316043066",
"166303163441335214621532246266554423134116502",
"654306144233536223625344500562330001525103513",
"000000000001000000000000000000000000000000000",
"461261642640264401421602305552356022044362210",
"332265621021254363411032144421252232514233255",
"421321663024354152616435502326040454330630222",
"652146142013224515632214255664522245513105150",
"000000000000010000000000000000000000000000000",
"511046413404116556564511321525031645652211464",
"364564134105014551360462625363611526541562664"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is M22:2 < GL(45,GF(7))";