/*
www-ATLAS of Group Representations.
2.L3(4):2a represented as 10 x 10 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,10,[
"6000000000",
"0010000000",
"0100000000",
"0000100000",
"0001000000",
"0000000100",
"0000000001",
"0000010000",
"3001640310",
"0000001000"]);

y:=CambridgeMatrix(1,F,10,[
"0100000000",
"1000000000",
"0001000000",
"0000010000",
"0000001000",
"0000000010",
"4061251431",
"6665363600",
"0010000000",
"4610646310"]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is 2.L3(4):2a < GL(10,GF(7))";