/*
www-ATLAS of Group Representations.
L3(4) represented as 19 x 19 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,19,[
"0100000000000000000",
"1000000000000000000",
"0001000000000000000",
"0010000000000000000",
"0000001000000000000",
"0000000100000000000",
"0000100000000000000",
"0000010000000000000",
"0000000000010000000",
"0000000000000100000",
"0000000000000001000",
"0000000010000000000",
"0000000000000000010",
"0000000001000000000",
"1600000010060010000",
"0000000000100000000",
"6116106000000000100",
"0000000000001000000",
"0000000000000000001"]);

y:=CambridgeMatrix(1,F,19,[
"1600000000000000000",
"0010000000000000000",
"0000100000000000000",
"0000010000000000000",
"0660600000000000000",
"0000000010000000000",
"0000000001000000000",
"0000000000100000000",
"0000000000001000000",
"0000000000000010000",
"0000000000000000100",
"0060000100000100000",
"0001000000000000000",
"0060000000610000000",
"0001000000006001000",
"0001061000000000000",
"0000000000000000001",
"5424556556666666666",
"0000000100000000000"]);

G<x,y>:=MatrixGroup<19,F|x,y>;
print "Group G is L3(4) < GL(19,GF(7))";