/*
www-ATLAS of Group Representations.
U3(4):4 represented as 52 x 52 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,52,[
"0100000000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000",
"0000000000001000000000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000",
"0000000000000010000000000000000000000000000000000000",
"0000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000010000000000000000000",
"0000000000000000100000000000000000000000000000000000",
"0000000000000000000000000000000000010000000000000000",
"0000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000000000000100000000000000",
"2211111120122011022010101202000010010000000000000000",
"0000000000000000000100000000000000000000000000000000",
"0000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000100000000",
"0000000000000000000001000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000",
"0000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000100",
"0000000000000000000000001000000000000000000000000000",
"1122121221120111200111120000102110102000000200000100",
"0000000000000000000000000010000000000000000000000000",
"2200121211010110210112120100102211000020000200010000",
"0022000001002100122200210200201022200002000100020200",
"1111202002101221001221201000221121110000220100010100",
"0000000000000000000000000000010000000000000000000000",
"1100000000001000001000001000000000010000002000000000",
"0000000000000000000000000000001000000000000000000000",
"2211202011212122122122211210102221210100000220010200",
"2200000012212222112221210100201122000000000102020000",
"0000000020221022021120200200102021100000000200210100",
"0000000000000000000000000000000001000000000000000000",
"0011111121020100200200222000212021220000010200012200",
"0000000000000000000000000000000000100000000000000000",
"0011020200002010202010222020002022020200000200020020",
"1122000010011010201011222000021121120000020100010102"]);

y:=CambridgeMatrix(1,F,52,[
"0010000000000000000000000000000000000000000000000000",
"0220000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000",
"1020100000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000",
"0000000000000000000000000001000000000000000000000000",
"0000000000000000000000000000010000000000000000000000",
"0000000000000000000000000000001000000000000000000000",
"0000001000000000000000000000000000000000000000000000",
"0000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000100000000000000000",
"0000000100000000000000000000000000000000000000000000",
"0000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000100000",
"0000000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000000000000001",
"0022012202110122011201202201101112122221021001101202",
"1021120210221220001102120222220212011020102120102212",
"0000000000010000000000000000000000000000000000000000",
"1202022021001011021020020112211002110121222202200210",
"1020111212020011221102201102110110020212010221221002",
"1122212010121002012102212122202212112121011111011100",
"0000000000000100000000000000000000000000000000000000",
"1120122001211212222210100021102011021221122121111110",
"2122002121122102221221022210000110111012110102210012",
"1110121102101012220211000110200012012001000212121212",
"0121110120111111200010021022102020222022111210000202",
"0112212110000022021102011011202222112000201012101202",
"0000000000000001000000000000000000000000000000000000",
"2000001010110202212112120002212001010121222120022012",
"1122212202100100100021111021222122012212221000122202",
"2201210120101012200011122222112122221220220110110202"]);

G<x,y>:=MatrixGroup<52,F|x,y>;
print "Group G is U3(4):4 < GL(52,GF(3))";