/*
www-ATLAS of Group Representations.
4b.L3(4) represented as 28 x 28 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"1000000000000000000000000000",
"0000100000000000000000000000",
"0000001000000000000000000000",
"0010000000000000000000000000",
"0000000001000000000000000000",
"0001000000000000000000000000",
"0000000000010000000000000000",
"0000000000001000000000000000",
"0000010000000000000000000000",
"0000000000000010000000000000",
"0000000100000000000000000000",
"0000000010000000000000000000",
"0000000000000000001000000000",
"0000000000100000000000000000",
"0000000000000000000001000000",
"0000000000000000000000010000",
"0000000000000000000000000100",
"0000000000000100000000000000",
"3223001213143311242240201340",
"4004304443111102301424443112",
"0000000000000001000000000000",
"0442014022243011233110231144",
"0000000000000000100000000000",
"3300103301222244044013330004",
"0000000000000000010000000000",
"2322002203344441011140221100",
"2033341124110003242203030334"]);

y:=CambridgeMatrix(1,F,28,[
"0010000000000000000000000000",
"0001000000000000000000000000",
"0000010000000000000000000000",
"0000000100000000000000000000",
"0000000010000000000000000000",
"0221110420000000000000000000",
"0000000000100000000000000000",
"4001410010000000000000000000",
"0444440040000000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0000000000000000100000000000",
"0000000000000000010000000000",
"0000000000000000000100000000",
"0000000000000000000010000000",
"0000000000000000000000100000",
"0000000000000000000000001000",
"0000000000000000000000000010",
"2343112403143130410123043210",
"0000000000000000000000000001",
"0433000403132041301304202220",
"0344441230033034313031032321",
"0000001000000000000000000000",
"2241034240433003111344403010",
"1322132103012221244340032430",
"0403100310003300340124024220",
"0130102320140410440143303144",
"0000000001000000000000000000"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is 4b.L3(4) < GL(28,GF(5))";