/*
www-ATLAS of Group Representations.
U3(3) represented as 26 x 26 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,26,[
"01000000000000000000000000",
"10000000000000000000000000",
"00001000000000000000000000",
"00000010000000000000000000",
"00100000000000000000000000",
"00000000010000000000000000",
"00010000000000000000000000",
"00000000000010000000000000",
"00000000000001000000000000",
"00000100000000000000000000",
"00000000000000010000000000",
"00000000000000000100000000",
"00000001000000000000000000",
"00000000100000000000000000",
"00000000000000000000010000",
"00000000001000000000000000",
"00000000000000000000000010",
"00000000000100000000000000",
"22146035452242335134566300",
"50633641035652401062605041",
"04520250024021640621155516",
"00000000000000100000000000",
"35365014606205063646233524",
"14563113242231314263021264",
"00000000000000001000000000",
"54414166021122105610560435"]);

y:=CambridgeMatrix(1,F,26,[
"00100000000000000000000000",
"00010000000000000000000000",
"00000100000000000000000000",
"00000001000000000000000000",
"00000000100000000000000000",
"00000000001000000000000000",
"00000000000100000000000000",
"16000000001000000000000000",
"06606600600000000000000000",
"00000000000000100000000000",
"00000000000000001000000000",
"00000000000000000010000000",
"00000000000000000001000000",
"00000000000000000000100000",
"00000000000000000000001000",
"00000000000000000000000100",
"00000000000000000000000001",
"03445353606425240605031662",
"10152040326024113435366014",
"42414101424520300563025432",
"56226164101461610150125044",
"15040155264444325654436532",
"24226561262036322445111313",
"50135215623041102241356346",
"13313114326441152114060412",
"10000000000000000000000000"]);

G<x,y>:=MatrixGroup<26,F|x,y>;
print "Group G is U3(3) < GL(26,GF(7))";