/*
www-ATLAS of Group Representations.
M22 represented as 55 x 55 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,55,[
"0100000000000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"0000000000000000000000000000000000100000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000000000000000000000001000000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000000010000000000000",
"0000000000000000000001000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000100000000",
"0000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000100000",
"0000000000000000000000000010000000000000000000000000000",
"0012221112020120200010210020120121011102010010200200000",
"2112000112011122002122020000100112222110021202101200000",
"0000000000000000000000000000100000000000000000000000000",
"2022012102001110110200022100100220100220211010112102022",
"0000000000000000000000000000010000000000000000000000000",
"1000021110220220022100012210001202112020020212110111020",
"2201222220022122110222120001021110101100111002101121002",
"0000000000000000000000000000000010000000000000000000000",
"2210110121111020201000002101202000110202122122102121002",
"0000000000000000000000000000000001000000000000000000000",
"2120020001122022021122011110002001101220221000122120021",
"0102110002000120222000111211010010212112212020222101011",
"0000000000000000000000000000000000010000000000000000000",
"2222222112012220020112111211122001121001120000000101002",
"1122022210000011111122002100102101211122120121011200022",
"2200021010002200210210001021102110012221001020012011120",
"2011012122002021202000210210220222211201212101002112011",
"2000210221011001010111022111021121122010021101220222011"]);

y:=CambridgeMatrix(1,F,55,[
"0010000000000000000000000000000000000000000000000000000",
"0220000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"1020100000000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000",
"0000001000010020000000000000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000010000000000000000000000",
"0000000000000000000000000000000001000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000010000000000000000000",
"0000000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000000100000000000000",
"0000001000010000000020000000000000000000000000000000000",
"0000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000000000000000001",
"0000000000000100000000000000000000000000000000000000000",
"0111011212001012110100122101021111000210220010110112222",
"1101100101000222012110221101220100000100200120010210001",
"1212022202112211022120220002222220111220222011202120122",
"1110021012021102111211122100112000200120000120121121110",
"0000000000000001000000000000000000000000000000000000000",
"1010101012022121012110101101220202221100200020221210012",
"1020201110102020101021020111001200220121211020101202100",
"0211101000111002101112010012020110112001222011020110022",
"0011211012011100100200121100102111202102000122001011212",
"1100100020122012102010200121100002102100002220012221101",
"0001212002200022122020202122200111211002210122211200020",
"0000000000000000001000000000000000000000000000000000000",
"1000000011112110112212201200221202021222220211200120120",
"2202012202010001101121111010202212010010122102000002012"]);

G<x,y>:=MatrixGroup<55,F|x,y>;
print "Group G is M22 < GL(55,GF(3))";