/*
www-ATLAS of Group Representations.
2.U4(2) represented as 40 x 40 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,40,[
"0100000000000000000000000000000000000000",
"1000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000",
"0000001000000000000000000000000000000000",
"0010000000000000000000000000000000000000",
"0000000001000000000000000000000000000000",
"0001000000000000000000000000000000000000",
"0000000000001000000000000000000000000000",
"0000000000000010000000000000000000000000",
"0000010000000000000000000000000000000000",
"0000000000000000100000000000000000000000",
"0000000000000000010000000000000000000000",
"0000000100000000000000000000000000000000",
"0000000000000000000010000000000000000000",
"0000000010000000000000000000000000000000",
"0000000000000000000000100000000000000000",
"0000000000100000000000000000000000000000",
"0000000000010000000000000000000000000000",
"0000000000000000000000000010000000000000",
"0000000000000000000000000000100000000000",
"0000000000000100000000000000000000000000",
"0000000000000000000000000000000100000000",
"0000000000000001000000000000000000000000",
"0000000000000000000000000000000000100000",
"0000000000000000000000000000000000001000",
"0000000000000000000000000000000000000010",
"0000000000000000001000000000000000000000",
"1102221111112001111010012012120120202201",
"0000000000000000000100000000000000000000",
"2101221102111110111211222022110112220201",
"2020012222021220112101122000100012012202",
"0000000000000000000001000000000000000000",
"1121000220112221020202200111222212102012",
"1111220000200200012210002010112211202211",
"0000000000000000000000010000000000000000",
"2100201221210121221020110221112201212212",
"0000000000000000000000001000000000000000",
"1221202002020122212220002121101112111101",
"0000000000000000000000000100000000000000",
"1121002200211011010212011221220220200212"]);

y:=CambridgeMatrix(1,F,40,[
"0010000000000000000000000000000000000000",
"0001000000000000000000000000000000000000",
"0000010000000000000000000000000000000000",
"0000000100000000000000000000000000000000",
"0000000010000000000000000000000000000000",
"0000000000100000000000000000000000000000",
"0000000000010000000000000000000000000000",
"0000000000000100000000000000000000000000",
"0200220020000000000000000000000000000000",
"0000000000000001000000000000000000000000",
"1100210210000100000000000000000000000000",
"0000000000000000001000000000000000000000",
"0000000000000000000100000000000000000000",
"1122110020200100000000000000000000000000",
"0000000000000000000001000000000000000000",
"0000000000000000000000010000000000000000",
"0000000000000000000000001000000000000000",
"0000000000000000000000000100000000000000",
"0000000000000000000000000001000000000000",
"0000000000000000000000000000010000000000",
"0000000000000000000000000000001000000000",
"0000000000000000000000000000000010000000",
"0000000000000000000000000000000001000000",
"0000000000000000000000000000000000010000",
"0000000000000000000000000000000000000100",
"0000000000000000000000000000000000000001",
"1100212121120202211220201201000102110002",
"2120110001022012000000020202001020202121",
"1120110210202120221200211000220020222120",
"1121120211110012122020101120102212202120",
"0210101120112121122002200020210200210001",
"2112221010000101100222211002001112120122",
"2001212211121021001011211001022200001220",
"1102200220000010221102210000110000212000",
"0001102000122010100020122210111100021211",
"0001022121000002020121221222221112010020",
"1110021102101220000000021022201100010120",
"2100221022222221110020212110200120011122",
"1221211111002020101111120222000012022102",
"1122012000201210001222002221222112012022"]);

G<x,y>:=MatrixGroup<40,F|x,y>;
print "Group G is 2.U4(2) < GL(40,GF(3))";