/*
www-ATLAS of Group Representations.
R(27):3 represented as 21 x 21 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,21,[
"202210200201000002000",
"212110110110101002021",
"220010022212221011221",
"112111200121210010212",
"102022201000100012210",
"200100101202112012210",
"011222021121011120222",
"210210010120102100011",
"120220022110200002011",
"120122210020011212111",
"222222201200220101212",
"120102021100011021222",
"101212111022001000111",
"100011210122100121021",
"112000112011110112022",
"100120201201000110120",
"221002001002101202212",
"120112202121021011002",
"210221121121011002000",
"222020001112111202201",
"211120212011120220021"]);

y:=CambridgeMatrix(1,F,21,[
"221010212200120122000",
"200010021011020012011",
"102010001022120122002",
"111212100021120111020",
"020001010021222011200",
"102012002120011010201",
"122010222202001122211",
"102002110021110221020",
"200120022012111202202",
"102020021000221012101",
"122200111000011122022",
"122200102120120012211",
"212102201012101000112",
"202000002100122201010",
"110110010100222220110",
"010220220111212000200",
"010122002011101122210",
"002002110102022220210",
"220011110010022012221",
"012100010111222012111",
"111021002222011111101"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is R(27):3 < GL(21,GF(3))";