/*
www-ATLAS of Group Representations.
A7 represented as 15 x 15 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"001000000000000",
"100000000000000",
"000001000000000",
"000000010000000",
"000140010000000",
"000000000010000",
"000104010000000",
"000000000000010",
"440203024010100",
"130312302210300",
"434213032321210",
"214223110130010",
"413340313033003",
"414331223014030"]);

y:=CambridgeMatrix(1,F,15,[
"330000000000000",
"000100000000000",
"000010000000000",
"000000100000000",
"000000001000000",
"000000000100000",
"000000000001000",
"000000000000100",
"000000000000001",
"301203313211202",
"144034013140043",
"140300100002000",
"011232241413041",
"314434443404120",
"110302232334432"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is A7 < GL(15,GF(5))";