/*
www-ATLAS of Group Representations.
M22:2 represented as 55 x 55 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,55,[
"0100000000000000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000000000000000000000000000001000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"1200000000000000000200001000100000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000000001000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000000000000000000000000000000000001000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000100000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000100000",
"2110210022001100102110020020202010110100000000200200000",
"0000000000000000000000000000000000000000000000000001000",
"0000000000000000000000000010000000000000000000000000000",
"0021102020201212101111120010222002102210001000000201000",
"0000000000000000000000000001000000000000000000000000000",
"0011212112022000020110000122202210102101100010200201000",
"2101002100120022020221100120121022201100011000100102000",
"0000000000000000000000000000010000000000000000000000000",
"1202001120221111002212100000102212101000000110200202000",
"0000000000000000000000000000000100000000000000000000000",
"2101002020001102002111200000222211100000001011200200000",
"0000000000000000000000000000000010000000000000000000000",
"0000000010002000000000000020000000000100000000010000000",
"0001012202110222111011120210002002201200000000001102000",
"0000000000000000000000000000000000100000000000000000000",
"0002001120221211111102020210210220001200002010100012000",
"0000000000000000000000000000000000001000000000000000000",
"0021112212212011200022210021021101002102001020000001100",
"1202021021001102022021200121021021201102001000100102010",
"2102011102020000210220210222121011000101001000200000001"]);

y:=CambridgeMatrix(1,F,55,[
"0010000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000",
"1002100120000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000",
"1220220110000000000000000000000000000000000000000000000",
"0200220020000000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000",
"0000000000000000000000000000000010000000000000000000000",
"0000001000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000000010000000000000000000",
"0000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000000100000000000000",
"0000000000000000000000000000000000000000010000000000000",
"0000000001000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000000000000000010000",
"0000000000010000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000000000010",
"0000000000001000000000000000000000000000000000000000000",
"2012210211100020200222122002010212000120200001121211010",
"0000000000000000000000000000000000000000000000000000001",
"1112112102001002000202000010200000000000000000020000000",
"2111012021100121222012120102211120200202221102211220002",
"2100222021220101012100010221021200111221102212211210000",
"0121121221011010111021110211201101011121021000022202122",
"0000000000000010000000000000000000000000000000000000000",
"2001012121201200202212100202202021202102211222022021000",
"0011001220020112002001110021120121220212210002122201002",
"2011200110220122112101122121010011010010011121211001120",
"1121110201102201021111210210100110202101121222101102120",
"2202121110111111210101001020210120221201022212221220201",
"0102202220122200201212201110111120100021221120222201200",
"0202020000002201201021222221100002111111001120102120020",
"1011020211122100211001101010120011122101011120211021102",
"0000000000000000001000000000000000000000000000000000000"]);

G<x,y>:=MatrixGroup<55,F|x,y>;
print "Group G is M22:2 < GL(55,GF(3))";