/*
www-ATLAS of Group Representations.
U3(4) represented as 39 x 39 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,39,[
"010000000000000000000000000000000000000",
"100000000000000000000000000000000000000",
"000100000000000000000000000000000000000",
"001000000000000000000000000000000000000",
"000001000000000000000000000000000000000",
"000010000000000000000000000000000000000",
"000000001000000000000000000000000000000",
"000000000100000000000000000000000000000",
"000000100000000000000000000000000000000",
"000000010000000000000000000000000000000",
"000000000000010000000000000000000000000",
"000000000000001000000000000000000000000",
"000000000000000010000000000000000000000",
"000000000010000000000000000000000000000",
"000000000001000000000000000000000000000",
"000000000000000000001000000000000000000",
"000000000000100000000000000000000000000",
"000000000000000000000010000000000000000",
"000000000000000000000001000000000000000",
"000000000000000000000000010000000000000",
"000000000000000100000000000000000000000",
"000000000000000000000000000010000000000",
"000000000000000001000000000000000000000",
"000000000000000000100000000000000000000",
"000000000000000000000000000000001000000",
"000000000000000000010000000000000000000",
"000000000000000000000000004000000000000",
"000000000000000000000000000000000010000",
"000000000000000000000100000000000000000",
"142332030234421114004310304221002030000",
"320000431242113443121024031300100020000",
"142341233234421314022410132210014030000",
"000000000000000000000000100000000000000",
"004141233210440414311312241120003140000",
"000000000000000000000000000100000000000",
"141400040133422210313002440300001021000",
"233232421311344224323212231030003000100",
"414123213434121142014030042200000030010",
"000000104000000000000000003000000000001"]);

y:=CambridgeMatrix(1,F,39,[
"410000000000000000000000000000000000000",
"001000000000000000000000000000000000000",
"241000000000000000000000000000000000000",
"000010000000000000000000000000000000000",
"000000100000000000000000000000000000000",
"000000010000000000000000000000000000000",
"000100000000000000000000000000000000000",
"000000000010000000000000000000000000000",
"000000000001000000000000000000000000000",
"000000000000100000000000000000000000000",
"000001000000000000000000000000000000000",
"000000000000000100000000000000000000000",
"000000000000000001000000000000000000000",
"000000000000000000100000000000000000000",
"000000000000000000010000000000000000000",
"000000001000000000000000000000000000000",
"000000000000000000000100000000000000000",
"000000000100000000000000000000000000000",
"000000000000000000000000100000000000000",
"000000000000000000000000001000000000000",
"000000000000000000000000000100000000000",
"000000000000000000000000000001000000000",
"000000000000000000000000000000100000000",
"000000000000000000000000000000010000000",
"000000000000010000000000000000000000000",
"000000000000000000000000000000000100000",
"000000000000001000000000000000000000000",
"000000000000000000000000000000000001000",
"000000000000000000000000000000000000100",
"000000000000000010000000000000000000000",
"000000000000000000000000000000000000010",
"000000000000000000000000000000000000001",
"230313230313311421101214122320240230232",
"241130301144112140341021122331332241144",
"330131220243340120213412134000023123024",
"000000000000000000001000000000000000000",
"033041412443442242313113412203324133104",
"000000000000000000000010000000000000000",
"000000000000000000000001000000000000000"]);

G<x,y>:=MatrixGroup<39,F|x,y>;
print "Group G is U3(4) < GL(39,GF(5))";