/*
www-ATLAS of Group Representations.
3.A7 represented as 30 x 30 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"344000000000000000000000000000",
"141000000000000000000000000000",
"000001000000000000000000000000",
"000000010000000000000000000000",
"000000000100000000000000000000",
"000000000001000000000000000000",
"000000000000010000000000000000",
"000000000000000100000000000000",
"000100000000000000000000000000",
"000000000000000000100000000000",
"000000000000000000001000000000",
"000000000000000000000010000000",
"000010000000000000000000000000",
"000000000000000000000000010000",
"000000000000000000000000000100",
"000000000000000000000000000001",
"231012202001303242431240403200",
"040031234341141003204102101240",
"041200230232344233004212144113",
"000000100000000000000000000000",
"204114231143441114433402101100",
"012434221223301003340331230201",
"201241322311032203204241101202",
"413312422334202144442330240303",
"340334323244141443031432400433",
"134124340202242433230334134411",
"000000001000000000000000000000",
"422200423413400004440222033243",
"442311344040432132431230013003"]);

y:=CambridgeMatrix(1,F,30,[
"001000000000000000000000000000",
"000100000000000000000000000000",
"000010000000000000000000000000",
"000000100000000000000000000000",
"000000001000000000000000000000",
"000000000010000000000000000000",
"000000000000100000000000000000",
"000000000000001000000000000000",
"000000000000000010000000000000",
"000000000000000001000000000000",
"000000000000000000010000000000",
"000000000000000000000100000000",
"000000000000000000000001000000",
"000000000000000000000000100000",
"000000000000000000000000001000",
"000000000000000000000000000010",
"100000000000000000000000000000",
"433320000233440044322241444113",
"332103304341211010413044422012",
"243202023333120144143234434123",
"302301200401203121313314121244",
"134333414012303324022440311440",
"212412200311420244434332101030",
"010000000000000000000000000000",
"322243001124413003214341413120",
"020010001041200403240242144230",
"124041413243022332014142430010",
"333311323231100303014103340104",
"224310104211032201134442201042",
"210033033223320423233232034430"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is 3.A7 < GL(30,GF(5))";