/*
www-ATLAS of Group Representations.
2.Sz(8) represented as 40 x 40 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,40,[
"1000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000",
"0100000000000000000000000000000000000000",
"0000010000000000000000000000000000000000",
"0000000100000000000000000000000000000000",
"0001000000000000000000000000000000000000",
"0000000000100000000000000000000000000000",
"0000100000000000000000000000000000000000",
"0000000000001000000000000000000000000000",
"0000000000000010000000000000000000000000",
"0000001000000000000000000000000000000000",
"0000000000000000010000000000000000000000",
"0000000010000000000000000000000000000000",
"0000000000000000000010000000000000000000",
"0000000001000000000000000000000000000000",
"0000000000000000000000100000000000000000",
"0000000000000000000000001000000000000000",
"0000000000010000000000000000000000000000",
"0000000000000000000000000010000000000000",
"0000000000000000000000000000100000000000",
"0000000000000100000000000000000000000000",
"0000000000000000000000000000000100000000",
"0000000000000001000000000000000000000000",
"0000000000000000000000000000000000100000",
"0000000000000000100000000000000000000000",
"0000000000000000000000000000000000001000",
"0000000000000000001000000000000000000000",
"0000000000000000000000000000000000000010",
"0000000000000000000100000000000000000000",
"3042065544035466561333024164552221415661",
"5404631261633336101053504300224000135355",
"0000000000000000000001000000000000000000",
"0000000000000000000000000000000000000001",
"6554321035162305062002521041240003023112",
"0000000000000000000000010000000000000000",
"0432216612256250662542541463123405043262",
"0000000000000000000000000100000000000000",
"6002166060631635233456560662060346330420",
"0000000000000000000000000001000000000000",
"0000000000000000000000000000000010000000"]);

y:=CambridgeMatrix(1,F,40,[
"0100000000000000000000000000000000000000",
"0001000000000000000000000000000000000000",
"0000100000000000000000000000000000000000",
"0000001000000000000000000000000000000000",
"0000000010000000000000000000000000000000",
"0000000001000000000000000000000000000000",
"1000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000",
"0000000000000100000000000000000000000000",
"0000000000000001000000000000000000000000",
"0000000000000000100000000000000000000000",
"0000000000000000001000000000000000000000",
"0000000000000000000100000000000000000000",
"0010000000000000000000000000000000000000",
"0000000000000000000001000000000000000000",
"0000000000000000000000010000000000000000",
"0000000000000000000000000100000000000000",
"0000000000100000000000000000000000000000",
"0000000000000000000000000001000000000000",
"0000000000000000000000000000010000000000",
"0000000000000000000000000000001000000000",
"0000000000000000000000000000000010000000",
"0000000000000000000000000000000001000000",
"0000010000000000000000000000000000000000",
"0000000000000000000000000000000000010000",
"0000000000000000010000000000000000000000",
"0000000000000000000000000000000000000100",
"0000000100000000000000000000000000000000",
"0000000000000000000000000000000000000001",
"5555223115235303163165100601530204336303",
"4215200165326343261115631314633253320222",
"0000000000000000000010000000000000000000",
"0000000000000000000000000000000000000010",
"5612231522620354461031300612021326342310",
"5113321146446641516060002125013261166666",
"0540613653033035546505432505062254400342",
"6625025624301224236432563665400603022625",
"4256510360450023554666540314642260561054",
"0000000000000010000000000000000000000000",
"6522301505233661234442414204246420466036"]);

G<x,y>:=MatrixGroup<40,F|x,y>;
print "Group G is 2.Sz(8) < GL(40,GF(7))";