/*
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",
"00770425577305112211",
"00000000000010000000",
"44644243002046450062",
"55343451473151337151",
"66474415355344225334"]);

y:=CambridgeMatrix(1,F,20,[
"10000000000000000000",
"00100000000000000000",
"11100000000000000000",
"00001000000000000000",
"00000010000000000000",
"00000001000000000000",
"00010000000000000000",
"00000000001000000000",
"00000000000100000000",
"00000000000010000000",
"00000100000000000000",
"00000000000000010000",
"00000000000000000100",
"00000000000000000010",
"00000000000000000001",
"00000000100000000000",
"21200675066055316647",
"00000000010000000000",
"65670133502423535317",
"15661022503422435306"]);

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