/*
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",
"162503046411030",
"000000001000000",
"163436413604110",
"000000000100000",
"526144336401031"]);

y:=CambridgeMatrix(1,F,15,[
"001000000000000",
"466000000000000",
"000010000000000",
"000001000000000",
"106010000000000",
"000000001000000",
"000000000100000",
"000000000010000",
"000000000000100",
"000000000000001",
"254020231144201",
"453261425205561",
"000100000000000",
"104206635224445",
"463603153656650"]);

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