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

F:=GF(7);

x:=CambridgeMatrix(1,F,10,[
"0100000000",
"1000000000",
"0001000000",
"0010000000",
"0000010000",
"0000100000",
"0000000010",
"1100444640",
"0000001000",
"6600002026"]);

y:=CambridgeMatrix(1,F,10,[
"6100000000",
"0010000000",
"2610000000",
"0000100000",
"0000001000",
"0000000100",
"0001000000",
"0000000001",
"2516031410",
"0000010000"]);

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