/*
www-ATLAS of Group Representations.
L2(19) represented as 20 x 20 matrices over GF(8).
*/

F<w>:=GF(8);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00010000000000000000",
"00100000000000000000",
"00000100000000000000",
"00001000000000000000",
"00000000100000000000",
"00000000010000000000",
"00000010000000000000",
"00000001000000000000",
"00000000000001000000",
"00000000000000100000",
"00000000000000001000",
"00000000001000000000",
"00000000000100000000",
"00330647733507114411",
"00000000000010000000",
"66266465004062670024",
"77565671635171553171",
"22636617577566447556"]);

y:=CambridgeMatrix(1,F,20,[
"10000000000000000000",
"00100000000000000000",
"11100000000000000000",
"00001000000000000000",
"00000010000000000000",
"00000001000000000000",
"00010000000000000000",
"00000000001000000000",
"00000000000100000000",
"00000000000010000000",
"00000100000000000000",
"00000000000000010000",
"00000000000000000100",
"00000000000000000010",
"00000000000000000001",
"00000000100000000000",
"41400237022077512263",
"00000000010000000000",
"27230155704645757513",
"17221044705644657502"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is L2(19) < GL(20,GF(8))";