/*
www-ATLAS of Group Representations.
A9 represented as 41 x 41 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,41,[
"01000000000000000000000000000000000000000",
"00100000000000000000000000000000000000000",
"10000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000",
"00000001000000000000000000000000000000000",
"00000000010000000000000000000000000000000",
"00000000000100000000000000000000000000000",
"00000000000001000000000000000000000000000",
"00000000000000010000000000000000000000000",
"00010000000000000000000000000000000000000",
"00000000000000000010000000000000000000000",
"00000000000000000000100000000000000000000",
"00000000000000000000001000000000000000000",
"00001000000000000000000000000000000000000",
"21010201020001010110100000000000000000000",
"00000000000000000000000001000000000000000",
"00000000000000000000000000010000000000000",
"00000201111102020120200000000000000000000",
"10200122212200200100000002000000000000000",
"00000000000000000000000000000001000000000",
"00000010000000000000000000000000000000000",
"22222121110122211111210010010201000000000",
"10210212110121111111001010010201000000000",
"00000000000000000000000000000000001000000",
"00021211021021211001122010020002000000000",
"00000000100000000000000000000000000000000",
"21022122101000000202102220000021022120000",
"21021210122000201101222222222212222222000",
"11102001000020010121112021022010012000220",
"01200012220221021001101020000000012000000",
"21010201000110221202202110120121020210000",
"11120021000020221121020111101220120111000",
"01210211121102201120100020101212210102111",
"12002112200020210120001102112021101102001",
"11100101021222011111001122112221101102001",
"21001211101120121200202102201202012212001",
"10222202110111110211101222201012200211002",
"12002010100000200000012010020222012000000",
"22102122112102020200122000212220211201001",
"12201110102120122112001121210222001101211",
"21022020201120210122102100001001001010110"]);

y:=CambridgeMatrix(1,F,41,[
"12000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000",
"00001000000000000000000000000000000000000",
"00000010000000000000000000000000000000000",
"00000000100000000000000000000000000000000",
"00000000001000000000000000000000000000000",
"00000000000010000000000000000000000000000",
"00000000000000100000000000000000000000000",
"00000000000000001000000000000000000000000",
"00000000000000000100000000000000000000000",
"00000000000000000001000000000000000000000",
"00000000000000000000010000000000000000000",
"00000000000000000000000100000000000000000",
"12002112001200100200000000000000000000000",
"00000000000000000000000010000000000000000",
"00000000000000000000000000100000000000000",
"00000000000000000000000000001000000000000",
"00000000000000000000000000000100000000000",
"00000000000000000000000000000010000000000",
"00000000000000000000000000000000100000000",
"11111001220111121021120020100210000000000",
"00000000000000000000000000000000010000000",
"22202201212210111211122000200120010000000",
"00000000000000000000000000000000000100000",
"00000000000000000000000000000000000010000",
"00000000000000000000000000000000000001000",
"00000000000000000000000000000000000000100",
"00000000000000000000000000000000000000010",
"00000000000000000000000000000000000000001",
"21011120120212012001200122002200210010000",
"01202211020021020211110000001200100000200",
"02112022202202000111002211210111101211022",
"01220202010021010222020101011022101101002",
"02102221201012111121220010220000002011000",
"10222211212222021222111120201121220202002",
"02020020000020000000000200000000000200000",
"21002001220022112102200112002212110022000",
"21211221020210101000012120221121111010112",
"01221012211012211100022112202022100222001",
"10222102100020020112201222112000101102201",
"01220200212212202102100012002102110200212"]);

G<x,y>:=MatrixGroup<41,F|x,y>;
print "Group G is A9 < GL(41,GF(3))";