/*
www-ATLAS of Group Representations.
O8-(2) represented as 34 x 34 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,34,[
"0100000000000000000000000000000000",
"1000000000000000000000000000000000",
"0001000000000000000000000000000000",
"0010000000000000000000000000000000",
"0000010000000000000000000000000000",
"0000100000000000000000000000000000",
"0000000010000000000000000000000000",
"0000000001000000000000000000000000",
"0000001000000000000000000000000000",
"0000000100000000000000000000000000",
"0000000000000100000000000000000000",
"0000000000000010000000000000000000",
"0000000000000000100000000000000000",
"0000000000100000000000000000000000",
"0000000000010000000000000000000000",
"0000000000000000000010000000000000",
"0000000000001000000000000000000000",
"0000000000000000000000100000000000",
"0000000000000000000000010000000000",
"0000000000000000000000000100000000",
"0000000000000001000000000000000000",
"0000000000000000000000000000100000",
"0000000000000000010000000000000000",
"0000000000000000001000000000000000",
"0000000000000000000000000000000010",
"0000000000000000000100000000000000",
"3244032111043224402023412311243211",
"3113302014313002000333133210103343",
"0000000000000000000001000000000000",
"3112200322343100104234334212032421",
"3031110423420120013222443420133023",
"2004421302014211310130314131211343",
"0000000000000000000000001000000000",
"2030003323140210312320031334230312"]);

y:=CambridgeMatrix(1,F,34,[
"4100000000000000000000000000000000",
"0010000000000000000000000000000000",
"2410000000000000000000000000000000",
"0000100000000000000000000000000000",
"0000001000000000000000000000000000",
"0000000100000000000000000000000000",
"0001000000000000000000000000000000",
"0000000000100000000000000000000000",
"0000000000010000000000000000000000",
"0000000000001000000000000000000000",
"0000010000000000000000000000000000",
"0000000000000001000000000000000000",
"0000000000000000010000000000000000",
"0000000000000000001000000000000000",
"0000000000000000000100000000000000",
"0000000010000000000000000000000000",
"0000000000000000000001000000000000",
"0000000001000000000000000000000000",
"0000000000000000000000001000000000",
"0000000000000000000000000010000000",
"0000000000000000000000000001000000",
"0000000000000000000000000000010000",
"0000000000000000000000000000001000",
"0000000000000000000000000000000100",
"0000000000000100000000000000000000",
"0000000000000000000000000000000001",
"0000000000000010000000000000000000",
"2024424201201440314443004044030000",
"3142420443424013343344331144204014",
"0000000000000000100000000000000000",
"3243032043214401421141320210134110",
"2313230443310342414011221013221011",
"3431112400042140430342422104201443",
"2100132412020212043421210040320334"]);

G<x,y>:=MatrixGroup<34,F|x,y>;
print "Group G is O8-(2) < GL(34,GF(5))";