/*
www-ATLAS of Group Representations.
U3(7) represented as 20 x 20 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"10000000000000000000",
"00010000000000000000",
"00100000000000000000",
"00000100000000000000",
"00001000000000000000",
"00000000100000000000",
"00000000010000000000",
"00000010000000000000",
"00000001000000000000",
"66660060606000000000",
"66666600000600000000",
"00000000000000100000",
"00000000000000001000",
"00000000000010000000",
"00000000000000000010",
"00000000000001000000",
"55006655550054544640",
"00000000000000010000",
"22551151510004034036"]);

y:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"00100000000000000000",
"10000000000000000000",
"00001000000000000000",
"00000010000000000000",
"00000001000000000000",
"00010000000000000000",
"00000000001000000000",
"00000000000100000000",
"00000000000010000000",
"00000100000000000000",
"00000000000001000000",
"00000000000000010000",
"00000000100000000000",
"00000000000000000100",
"00000000010000000000",
"55414026551250341400",
"00000000000000000001",
"62612544255144050215",
"00000000000000100000"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is U3(7) < GL(20,GF(7))";