/*
www-ATLAS of Group Representations.
A7 represented as 14 x 14 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"00010000000000",
"00000100000000",
"10000000000000",
"00000001000000",
"00000000100000",
"00000000001000",
"66066006000000",
"00100000000000",
"00000000000100",
"00000000000010",
"00000000000001",
"00000010000000",
"00000000010000"]);

y:=CambridgeMatrix(1,F,14,[
"00100000000000",
"00001000000000",
"60006000000000",
"00000010000000",
"06606000000000",
"00000000010000",
"00000160000000",
"01010001000000",
"06606000001000",
"00060600000000",
"00600000000010",
"06006000100060",
"01000000000011",
"06006000001166"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is A7 < GL(14,GF(7))";