/*
www-ATLAS of Group Representations.
3.A7 represented as 15 x 15 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"001000000000000",
"100000000000000",
"000001000000000",
"000000010000000",
"000000000100000",
"000000000001000",
"000000000000010",
"050541602024064",
"000100000000000",
"461004255323510",
"311460112545451",
"334146462542131",
"000010000000000",
"522343210612524"]);

y:=CambridgeMatrix(1,F,15,[
"550000000000000",
"000100000000000",
"000010000000000",
"000000100000000",
"000000001000000",
"000000000010000",
"000000000000100",
"000000000000001",
"562654320510332",
"103022042340552",
"335502130412450",
"234400113145103",
"150100300000200",
"501314525560642",
"446251330416111"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is 3.A7 < GL(15,GF(7))";