/*
www-ATLAS of Group Representations.
A13 represented as 32 x 32 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"11000000000000000000000000000000",
"00001000000000000000000000000000",
"00000010000000000000000000000000",
"00101000000000000000000000000000",
"00000000010000000000000000000000",
"00010010000000000000000000000000",
"00000000000010000000000000000000",
"00000000000000100000000000000000",
"00000100010000000000000000000000",
"00000000000000001000000000000000",
"00000000000000000010000000000000",
"00000001000010000000000000000000",
"00000000000000000000010000000000",
"00000000100000100000000000000000",
"00000000000000000000000010000000",
"00000000001000001000000000000000",
"00000000000000000000000000010000",
"00000000000100000010000000000000",
"00000000000000000000000000000010",
"00000000000000000000000000000001",
"00000000000001000000010000000000",
"22130002120203313311321000330313",
"22210231132233300200001220310223",
"00000000000000010000000010000000",
"12131233133123221322222002213211",
"03031322303010233110221000130222",
"00000000000000000100000000010000",
"12000101222220313032100020003032",
"33033032232223132002303020130222",
"00000000000000000001000000000010",
"00000000000000000000100000000001"]);

y:=CambridgeMatrix(1,F,32,[
"00100000000000000000000000000000",
"00010000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00000000100000000000000000000000",
"00000000001000000000000000000000",
"00000000000100000000000000000000",
"00000000000001000000000000000000",
"01101100100000000000000000000000",
"00000000000000010000000000000000",
"00000000000000000100000000000000",
"00000000000000000001000000000000",
"00000000000000000000100000000000",
"00000000000000000000001000000000",
"00000000000000000000000100000000",
"00000000000000000000000001000000",
"00000000000000000000000000100000",
"00000000000000000000000000001000",
"00000000000000000000000000000100",
"23000003201300303131331130000110",
"13113310333000233000230331331230",
"13312022131003302023012300210200",
"33021032023321333002201022311312",
"30112311233232310131003302323330",
"31021311002102000021111133022300",
"33111320013013301330113000323333",
"12130120323222223300101221222222",
"10201312313211120321233000012210",
"13331022232032330300013033303131",
"22312001031231301323012110120322",
"32023012200101310321323220300200",
"30213212103003313230102333310200"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is A13 < GL(32,GF(4))";