/*
www-ATLAS of Group Representations.
L2(17) represented as 18 x 18 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,18,[
"010000000000000000",
"100000000000000000",
"000010000000000000",
"000001000000000000",
"001000000000000000",
"000100000000000000",
"000000001000000000",
"000000000100000000",
"000000100000000000",
"000000010000000000",
"000000000000010000",
"000000000000001000",
"000000000000000010",
"000000000010000000",
"000000000001000000",
"443535444455455240",
"000000000000100000",
"117070262672072002"]);

y:=CambridgeMatrix(1,F,18,[
"001000000000000000",
"000100000000000000",
"011200000000000000",
"211000000000000000",
"000000100000000000",
"000000010000000000",
"011020200000000000",
"000000000010000000",
"000000000001000000",
"000000000000100000",
"000001000000000000",
"000000000000000100",
"000000000000000001",
"008450586332042636",
"637361277512361876",
"000000001000000000",
"176173026034727276",
"000000000100000000"]);

G<x,y>:=MatrixGroup<18,F|x,y>;
print "Group G is L2(17) < GL(18,GF(9))";