/*
www-ATLAS of Group Representations.
A7 represented as 13 x 13 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,13,[
"0100000000000",
"0001000000000",
"0000010000000",
"1000000000000",
"0000000010000",
"0000000000100",
"4003110402300",
"0000000000001",
"1330043322333",
"1110001210342",
"0010000000000",
"2140134230120",
"1141040400404"]);

y:=CambridgeMatrix(1,F,13,[
"0010000000000",
"0000100000000",
"0000001000000",
"0000000100000",
"0000000001000",
"0000000000010",
"0121112433240",
"3334424104200",
"0214233124440",
"1010011004010",
"2043033434420",
"0440444000040",
"3222240300031"]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is A7 < GL(13,GF(5))";