/*
www-ATLAS of Group Representations.
L3(4) represented as 19 x 19 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,19,[
"0100000000000000000",
"1000000000000000000",
"0000100000000000000",
"0000001000000000000",
"0010000000000000000",
"0000000001000000000",
"0001000000000000000",
"0000000000010000000",
"0000000000001000000",
"0000010000000000000",
"2112221021101000000",
"0000000100000000000",
"0000000010000000000",
"0000000000000000100",
"0010200100020110200",
"0000000000000000001",
"0000000000000100000",
"0021122021001000010",
"0000000000000001000"]);

y:=CambridgeMatrix(1,F,19,[
"0010000000000000000",
"0001000000000000000",
"0000010000000000000",
"0000000100000000000",
"0000000010000000000",
"2020020000000000000",
"0000000000100000000",
"2002210210000000000",
"0122220020000000000",
"0000000000000100000",
"2112121020000000000",
"0000000000000010000",
"0000000000000001000",
"0000000000000000010",
"0221112221100200210",
"2012012002121200200",
"1010101220110210220",
"2022100211012112020",
"1022211112102201221"]);

G<x,y>:=MatrixGroup<19,F|x,y>;
print "Group G is L3(4) < GL(19,GF(3))";