/*
www-ATLAS of Group Representations.
A9 represented as 19 x 19 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,19,[
"0100000000000000000",
"0001000000000000000",
"0000010000000000000",
"1000000000000000000",
"0000000010000000000",
"0000000000100000000",
"0000000000001000000",
"0000000000000010000",
"0000000000000000100",
"0000000000000000001",
"0010000000000000000",
"3645205245312050102",
"0500630645602502145",
"4012525262506011523",
"4523246341302542542",
"5564260163200061604",
"0000100000000000000",
"5655234420402245644",
"4144466646200225236"]);

y:=CambridgeMatrix(1,F,19,[
"0010000000000000000",
"0000100000000000000",
"0000001000000000000",
"0000000100000000000",
"0000000001000000000",
"0000000000010000000",
"0000000000000100000",
"0000000000000001000",
"0000000000000000010",
"3046210104333003440",
"2603521066314453426",
"0600066000060000000",
"2564055521343553606",
"2042220415121611530",
"3616366426422110101",
"2336010655025134545",
"2615602245036651264",
"2022630225115655233",
"4406663335056535621"]);

G<x,y>:=MatrixGroup<19,F|x,y>;
print "Group G is A9 < GL(19,GF(7))";