/* www-ATLAS of Group Representations. L2(16) represented as 16 x 16 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,16,[ "0100000000000000", "1000000000000000", "0001000000000000", "0010000000000000", "0000010000000000", "0000100000000000", "0000000010000000", "0000000001000000", "0000001000000000", "0000000100000000", "0000000000000100", "1200121020010000", "2100022111012000", "0000000000100000", "0000000000000001", "0000000000000010"]); y:=CambridgeMatrix(1,F,16,[ "1100000000000000", "0010000000000000", "0220000000000000", "0000100000000000", "0000001000000000", "0000000100000000", "0001000000000000", "0000000000100000", "0000000000010000", "0000000000001000", "0000010000000000", "0011200021022000", "0212202002002000", "0000000000000010", "1202221001002001", "2121000102001100"]); G:=MatrixGroup<16,F|x,y>; print "Group G is L2(16) < GL(16,GF(3))";