/*
www-ATLAS of Group Representations.
A14 represented as 13 x 13 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,13,[
"0100000000000",
"0001000000000",
"4110000000000",
"1000000000000",
"4100100000000",
"4001010000000",
"0203001000000",
"3403000100000",
"1301000010000",
"2300000001000",
"2404000000100",
"1202000000010",
"3002000000001"]);

y:=CambridgeMatrix(1,F,13,[
"0010000000000",
"4011000000000",
"0000100000000",
"1444400000000",
"0000010000000",
"0000001000000",
"0000000100000",
"0000000010000",
"0000000001000",
"0000000000100",
"0000000000010",
"0000000000001",
"0221401401401"]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is A14 < GL(13,GF(5))";