/*
www-ATLAS of Group Representations.
L2(23) represented as 22 x 22 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0001000000000000000000",
"0010000000000000000000",
"0000010000000000000000",
"0000100000000000000000",
"0000000010000000000000",
"0000000001000000000000",
"0000001000000000000000",
"0000000100000000000000",
"0000000000000100000000",
"0000000000000010000000",
"0000000000000000100000",
"0000000000100000000000",
"0000000000010000000000",
"0000000000000000000010",
"0000000000001000000000",
"0022001010022020220000",
"0000000000000000000001",
"2222112020112111200210",
"0000000000000001000000",
"0000000000000000001000"]);

y:=CambridgeMatrix(1,F,22,[
"0010000000000000000000",
"0220000000000000000000",
"1210000000000000000000",
"0000100000000000000000",
"0000001000000000000000",
"0000000100000000000000",
"0001000000000000000000",
"0000000000100000000000",
"0000000000010000000000",
"0000000000001000000000",
"0000010000000000000000",
"0000000000000001000000",
"0000000000000000010000",
"0000000000000000001000",
"0000000000000000000100",
"0000000010000000000000",
"2221221020110100002020",
"0000000001000000000000",
"2212100222221210012102",
"0120011001200210221020",
"2002202001112100012212",
"2221102110201202221021"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is L2(23) < GL(22,GF(3))";