/*
www-ATLAS of Group Representations.
A9 represented as 28 x 28 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"0010000000000000000000000000",
"1000000000000000000000000000",
"0000010000000000000000000000",
"0000000100000000000000000000",
"0000000001000000000000000000",
"0000000000010000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0001000000000000000000000000",
"0000000000000000001000000000",
"0000000000000000000010000000",
"0000000000000000000000100000",
"0000100000000000000000000000",
"2321421230112021032022100000",
"2132134134202130042031200000",
"4414141123430021112044100000",
"1430224430204343030023300000",
"2123141433341002003000400000",
"0431303332001011033112200000",
"0000001000000000000000000000",
"4210244444442010034013100000",
"2231011001232114031002200000",
"3422104244422424012024410000",
"0113102440130110032042301000",
"4303344401014414033042400100",
"1210002431334320013034200010",
"4443204200214214031042400001"]);

y:=CambridgeMatrix(1,F,28,[
"4300000000000000000000000000",
"0001000000000000000000000000",
"0000100000000000000000000000",
"0000001000000000000000000000",
"0000000010000000000000000000",
"0000000000100000000000000000",
"0000000000001000000000000000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"0000000000000000010000000000",
"0000000000000000000100000000",
"0000000000000000000001000000",
"0000000000000000000000010000",
"4213412002414401043012400000",
"0000000000000000000000001000",
"0000000000000000000000000100",
"0000000000000000000000000010",
"1000332444141431433313401000",
"1433304443110301204101400300",
"0314131134240034043013110410",
"3023314000002300214014000300",
"3044102114203422234440313000",
"3143242212023322234044310300",
"0000000000000000000000000001",
"1240024432100134200000400220",
"3001134434442031313312302010",
"4421434342133304202313244201",
"4401004000001000000000040001"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is A9 < GL(28,GF(5))";