/*
www-ATLAS of Group Representations.
L2(19) represented as 19 x 19 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,19,[
"0100000000000000000",
"1000000000000000000",
"0001000000000000000",
"0010000000000000000",
"0000010000000000000",
"0000100000000000000",
"0000000010000000000",
"0000000001000000000",
"0000001000000000000",
"0000000100000000000",
"0000000000000100000",
"0000000000000010000",
"0000000000000000100",
"0000000000100000000",
"0000000000010000000",
"0000000000000000001",
"0000000000001000000",
"2222222222222222222",
"0000000000000001000"]);

y:=CambridgeMatrix(1,F,19,[
"0100000000000000000",
"0010000000000000000",
"1000000000000000000",
"0000100000000000000",
"0000001000000000000",
"0000000100000000000",
"0001000000000000000",
"0000000000100000000",
"0000000000010000000",
"0000000000001000000",
"0000010000000000000",
"0000000000000001000",
"0000000000000000010",
"0000000000000100000",
"0000000000000010000",
"0000000010000000000",
"2222222222222222222",
"0000000001000000000",
"0000000000000000100"]);

G<x,y>:=MatrixGroup<19,F|x,y>;
print "Group G is L2(19) < GL(19,GF(3))";