/*
www-ATLAS of Group Representations.
3.A6 represented as 30 x 30 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"100000000000000000000000000000",
"014400000000000000000000000000",
"140100000000000000000000000000",
"000000100000000000000000000000",
"000000001000000000000000000000",
"000010000000000000000000000000",
"000000000001000000000000000000",
"000001000000000000000000000000",
"000000000000010000000000000000",
"000000000000001000000000000000",
"000000010000000000000000000000",
"000000000000000001000000000000",
"000000000100000000000000000000",
"000000000010000000000000000000",
"000000000000000000000100000000",
"000000000000000000000001000000",
"000000000000100000000000000000",
"000000000000000000000000001000",
"000000000000000000000000000010",
"443430240311344043132402221243",
"000000000000000100000000000000",
"331331203133231313001322241010",
"000000000000000010000000000000",
"422310113310021434142320430243",
"403330143402001244423422413144",
"000000000000000000100000000000",
"301103231133032034441124143222",
"000000000000000000010000000000",
"400433002323231304300210100232"]);

y:=CambridgeMatrix(1,F,30,[
"001000000000000000000000000000",
"000100000000000000000000000000",
"000010000000000000000000000000",
"000001000000000000000000000000",
"000000010000000000000000000000",
"000000000100000000000000000000",
"000000000010000000000000000000",
"100000000000000000000000000000",
"000000000000100000000000000000",
"010000000000000000000000000000",
"000000000000000100000000000000",
"000000000000000010000000000000",
"000000000000000000100000000000",
"000000000000000000010000000000",
"000000000000000000001000000000",
"000000000000000000000010000000",
"000000000000000000000000100000",
"000000000000000000000000010000",
"000000000000000000000000000100",
"000000000000000000000000000001",
"201114122300124133033320332101",
"331330244403302140401300334021",
"000000100000000000000000000000",
"210121241302414144310144400223",
"100421142224340112422400120300",
"234121220010312341144400040311",
"303300133302133204243410110434",
"000000001000000000000000000000",
"444041140123132204210140322202",
"101040303000203224312100123243"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is 3.A6 < GL(30,GF(5))";