/*
www-ATLAS of Group Representations.
L3(3):2 represented as 32 x 32 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"00010000000000000000000000000000",
"00100000000000000000000000000000",
"00000010000000000000000000000000",
"00000001000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"00000000000100000000000000000000",
"00000000000001000000000000000000",
"00000000000000010000000000000000",
"00000000100000000000000000000000",
"00000000000000000010000000000000",
"00000000010000000000000000000000",
"00000000000000000000100000000000",
"00000000001000000000000000000000",
"00000000000000000000000100000000",
"00000000000000000000000001000000",
"00000000000010000000000000000000",
"00000000000000000000000000001000",
"00000000000000100000000000000000",
"00000000000000000000000000000001",
"13203231131001203300230130232311",
"00000000000000001000000000000000",
"21112200120102033020020200302302",
"00000000000000000100000000000000",
"10213130133002311331222012203230",
"10022111123322132323011010333102",
"00000000000000000001000000000000",
"33033103302231312332212132203233",
"10000213002133201133030131220331",
"00000000000000000000010000000000"]);

y:=CambridgeMatrix(1,F,32,[
"22000000000000000000000000000000",
"00100000000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"21302000000000000000000000000000",
"00000000100000000000000000000000",
"00000000010000000000000000000000",
"00000000001000000000000000000000",
"00000000000010000000000000000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000000000000000100000000000000",
"00010000000000000000000000000000",
"00000000000000000001000000000000",
"00000000000000000000010000000000",
"00000000000000000000001000000000",
"00000000000000000000000010000000",
"00000000000000000000000000100000",
"00000000000000000000000000010000",
"00000000000000000000000000000100",
"00000000000000000000000000000010",
"00000010000000000000000000000000",
"23121321213320211230020322310212",
"02330232120123203102130303320102",
"00000001000000000000000000000000",
"11322221021132102132300113200112",
"21323013232221022012223132221222",
"01213130311220233033031121122121",
"30210102322102311020011131121022",
"31032030303210320131113023001303",
"22023322001303331023121121022221",
"22130210012213110103202000133210"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is L3(3):2 < GL(32,GF(4))";