/*
www-ATLAS of Group Representations.
L2(17) represented as 18 x 18 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,18,[
"010000000000000000",
"100000000000000000",
"102200000000000000",
"210100000000000000",
"000000100000000000",
"000000010000000000",
"000010000000000000",
"000001000000000000",
"000000000010000000",
"000000000000100000",
"000000001000000000",
"000000000000000100",
"000000000100000000",
"000000000000000010",
"011211221020001000",
"000000000001000000",
"000000000000010000",
"202102011121210221"]);

y:=CambridgeMatrix(1,F,18,[
"001000000000000000",
"000100000000000000",
"000010000000000000",
"000001000000000000",
"100000000000000000",
"010000000000000000",
"000000001000000000",
"000000000100000000",
"000000000001000000",
"000000000000010000",
"000000000000001000",
"000000100000000000",
"200110120022221100",
"000000010000000000",
"000000000000000001",
"012110200001221002",
"001012201002110010",
"000000000010000000"]);

G<x,y>:=MatrixGroup<18,F|x,y>;
print "Group G is L2(17) < GL(18,GF(3))";