/*
www-ATLAS of Group Representations.
U3(4) represented as 48 x 48 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,48,[
"010000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000000000001000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000000000000000000000010000000000000000000000000",
"000000000000000000000001000000000000000000000000",
"000000000000000000000000010000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000000000000000010000000000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000000000000000000000000001000000000000000",
"000000000000000000010000000000000000000000000000",
"000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000001000000000000",
"000000000000000000000100000000000000000000000000",
"000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000001000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000000000000000000000010000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000000000000000000000010",
"000000000000000000000000000000000000000000000001",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000100000000000000000",
"211000131000122111313222323313101021123112202000",
"000000000000000000000000000000010000000000000000",
"211220000313232331200033111230311001020312302100",
"000000000000000000000000000000000100000000000000",
"032120020102223233121210032310300030330313203131",
"213222131003021000332232103213113020023103202110",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000010000000000"]);

y:=CambridgeMatrix(1,F,48,[
"320000000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000",
"023000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000",
"000000000000000001000000000000000000000000000000",
"000000000000000000100000000000000000000000000000",
"000000000000000000010000000000000000000000000000",
"000000001000000000000000000000000000000000000000",
"000000000000000000000100000000000000000000000000",
"000000000100000000000000000000000000000000000000",
"000000000000000000000000100000000000000000000000",
"000000000000000000000000001000000000000000000000",
"000000000000000000000000000100000000000000000000",
"000000000000000000000000000001000000000000000000",
"000000000000000000000000000000100000000000000000",
"000000000000000000000000000000010000000000000000",
"000000000000010000000000000000000000000000000000",
"000000000000000000000000000000000100000000000000",
"000000000000001000000000000000000000000000000000",
"000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000010000000000",
"000000000000000010000000000000000000000000000000",
"000000000000000000000000000000000000000010000000",
"112000200030000000000000003000000010000000000000",
"000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000001000",
"310203000000003000000001000000000000000000000000",
"000000000000000000000000000000000000000000000100",
"000000000000000000001000000000000000000000000000",
"003102103001013333311313012100123322333030323002",
"120311102101332303122003303032132202312002213121",
"232221001302233220003113102320003132332130323032",
"000000000000000000000010000000000000000000000000",
"112032321333313000103030322211012021030033220321",
"032221210310300003000000010000001100000000101000",
"011130003032332130020310110222222130003033130122",
"000000000000000000000000010000000000000000000000",
"031232122213120330312221220100031133222003211300",
"222100332310133310131002330003033230102030121310",
"000010133120302221013011232303122210331010320213"]);

G<x,y>:=MatrixGroup<48,F|x,y>;
print "Group G is U3(4) < GL(48,GF(4))";