/*
www-ATLAS of Group Representations.
U5(2) represented as 55 x 55 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,55,[
"0100000000000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000",
"1212010020200001010000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000",
"2121102200010000000000100000000000000000000000000000000",
"0000000000000000000000000000000001000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"1200000100020010000002000100000000000000000000000000000",
"1200201002000100100000002010000000000000000000000000000",
"0000000000000000000000000000000000000010000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000000000000000000000000000000000010000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000000000000000000010000000000",
"0021211220111022202121001000211110000000020020000000000",
"0000000000000000000000010000000000000000000000000000000",
"0012221210010020000001000001000000100020000000000000000",
"1221211220011020202121021002221001010010010000000000000",
"0000221010201011002212000001102100001020000020000000000",
"1212221111020220000211000000122100000100010020000000000",
"0000000000000000000000000001000000000000000000000000000",
"1212010122020100100020002001021100000021010020000000000",
"0012112020201011202202021002110101000010120020000000000",
"0000000000000000000000000000010000000000000000000000000",
"1200221111220221000221020001121001000020011000000000000",
"1200000200012000001020020001011201000020020110000000000",
"0000000000000000000000000000000100000000000000000000000",
"1212102102122112101112002002212000000010020001000000000",
"2100102001000200200000001000000000000000000000100000000",
"0012112120022000101200012001110102000020020020010000000",
"2112020110120002100200002002110000000010020000001000000",
"1221112121221221002201000001100000000020000000000100000",
"2112000100021020202201011002120002000010010000000010000",
"1212221111222201001210020000112201000000020010000001000",
"2100010221111202002120020001201101000020000020000000100",
"2121221211010200100220002000121100000000010020000000010",
"1200211220111022202121001000211100000000020020000000001"]);

y:=CambridgeMatrix(1,F,55,[
"0010000000000000000000000000000000000000000000000000000",
"0220000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"1210200100000000000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000",
"0000000000000000000000000000000010000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000000010000000000000000000",
"0000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000000100000000000000",
"0000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000000100000",
"0000001000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000000000000000001",
"0000000010000000000000000000000000000000000000000000000",
"0011210220022200011111020210112111102010101020020011202",
"2000111012022120011210200002210210100000021101020000002",
"2021110112101120121221112022221110202002102102221111021",
"0221122212011022110210022122210021011220222120122002202",
"2021211012020001120022221221222200012022100110010022002",
"1020021201200100221222100102022202010112021012020012200",
"1012102101220112112222211211202121220012012222200002101",
"0000000000010000000000000000000000000000000000000000000",
"2011221201001000221011202202202022012022102101122111221",
"1111202202010011112002001111221101211022022020020200020",
"0020120001001120102212111011002122012100102001112111100",
"2001200020012201121022000100100120100022121210001110021"]);

G<x,y>:=MatrixGroup<55,F|x,y>;
print "Group G is U5(2) < GL(55,GF(3))";