/*
www-ATLAS of Group Representations.
U3(5):2 represented as 20 x 20 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00010000000000000000",
"00100000000000000000",
"00000010000000000000",
"00000001000000000000",
"00001000000000000000",
"00000100000000000000",
"00000000000100000000",
"00000000000001000000",
"00000000000000010000",
"00000000100000000000",
"00000000000000000010",
"00000000010000000000",
"00021211120101221210",
"00000000001000000000",
"00101011002222222101",
"00011212021200201221",
"00000000000010000000",
"00100200212120220100"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"02200000000000000000",
"00001000000000000000",
"00000100000000000000",
"10201000000000000000",
"00000000100000000000",
"00000000010000000000",
"00000000001000000000",
"00000000000010000000",
"00000000000000100000",
"00000000000000001000",
"00000000000000000100",
"00010000000000000000",
"00000000000000000001",
"10222220121221022220",
"00220200112201121001",
"20002102210022112120",
"10100102221000100020",
"20202122010120201120",
"02102211122010021210"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is U3(5):2 < GL(20,GF(3))";