/*
www-ATLAS of Group Representations.
TD4(2) represented as 25 x 25 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,25,[
"0100000000000000000000000",
"1000000000000000000000000",
"0001000000000000000000000",
"0010000000000000000000000",
"0000001000000000000000000",
"0000000010000000000000000",
"0000100000000000000000000",
"0000000000010000000000000",
"0000010000000000000000000",
"0000000000000010000000000",
"0000000000000000100000000",
"0000000100000000000000000",
"2200000200222000200000000",
"0000020020000200000000000",
"0000000001000000000000000",
"0000000000000000000000100",
"0000000000100000000000000",
"1100202001200010220000000",
"1101000011102122012220120",
"0012121200222111110120020",
"0020202211122121010210020",
"0001222000102112010222120",
"0000000000000001000000000",
"2210212001201200020110100",
"2210222212021212120110012"]);

y:=CambridgeMatrix(1,F,25,[
"0010000000000000000000000",
"0220000000000000000000000",
"0000100000000000000000000",
"0000010000000000000000000",
"0000000100000000000000000",
"0000000001000000000000000",
"0000000000100000000000000",
"0000000000001000000000000",
"0000000000000100000000000",
"0000000000000001000000000",
"0000000000000000010000000",
"0000000000000000001000000",
"0000000000000000000100000",
"0000000000000000000010000",
"0000000000000000000001000",
"0000000000000000000000010",
"2100102100122220221111010",
"0000000000000000000000001",
"1120100122110111022202011",
"2000022220001112222112001",
"0110020021122010110220020",
"2012110222010000022101001",
"0202001000202102021112100",
"0021020210212211212201022",
"0012120220021000012102000"]);

G<x,y>:=MatrixGroup<25,F|x,y>;
print "Group G is TD4(2) < GL(25,GF(3))";