/*
www-ATLAS of Group Representations.
3.L3(4):2a represented as 15 x 15 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"100000000000000",
"000100000000000",
"001000000000000",
"000000100000000",
"000000010000000",
"000010000000000",
"000001000000000",
"000000000001000",
"000000000000010",
"165235423214050",
"000000001000000",
"614324531006100",
"000000000100000",
"430013643004001"]);

y:=CambridgeMatrix(1,F,15,[
"001000000000000",
"166000000000000",
"000010000000000",
"000001000000000",
"106010000000000",
"000000001000000",
"000000000100000",
"000000000010000",
"000000000000100",
"000000000000001",
"120563501303131",
"653161440243323",
"000100000000000",
"624256456553643",
"052432135064636"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is 3.L3(4):2a < GL(15,GF(7))";