/*
www-ATLAS of Group Representations.
L3(7).2 represented as 20 x 20 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00010000000000000000",
"00100000000000000000",
"00000010000000000000",
"00000001000000000000",
"00001000000000000000",
"00000100000000000000",
"00000000000100000000",
"00000000000001000000",
"00000000000000010000",
"00000000100000000000",
"00000000000000000010",
"00000000010000000000",
"25350565641222614056",
"00000000001000000000",
"03020464025320053056",
"55234261105566140113",
"00000000000010000000",
"32266242366242061034"]);

y:=CambridgeMatrix(1,F,20,[
"44000000000000000000",
"00100000000000000000",
"00001000000000000000",
"00000100000000000000",
"16503000000000000000",
"00000000100000000000",
"00000000010000000000",
"00000000001000000000",
"00000000000010000000",
"00000000000000100000",
"00000000000000001000",
"00000000000000000100",
"00010000000000000000",
"00000000000000000001",
"25511145560211206641",
"40051101166046634511",
"46111614344314356445",
"01053135200111106641",
"43000341432023202246",
"36231622645015056250"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is L3(7).2 < GL(20,GF(7))";