/*
www-ATLAS of Group Representations.
4a.L3(4):2a represented as 16 x 16 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"1000000000000000",
"0001000000000000",
"0010000000000000",
"0000001000000000",
"0000000100000000",
"0000100000000000",
"0000010000000000",
"0000000000010000",
"0000000000000100",
"0000000000000001",
"0000000010000000",
"4416063620324214",
"0000000001000000",
"1143452545546632",
"0000000000100000"]);

y:=CambridgeMatrix(1,F,16,[
"0010000000000000",
"5660000000000000",
"0000100000000000",
"0000010000000000",
"1060100000000000",
"0000000010000000",
"0000000001000000",
"0000000000100000",
"0000000000001000",
"0000000000000010",
"2103031613643161",
"0563444246330225",
"0001000000000000",
"3501052631344105",
"2315405232131023",
"1324152434332012"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is 4a.L3(4):2a < GL(16,GF(7))";