/*
www-ATLAS of Group Representations.
A9 represented as 28 x 28 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"0010000000000000000000000000",
"1000000000000000000000000000",
"0000010000000000000000000000",
"0000000100000000000000000000",
"0000000001000000000000000000",
"0000000000010000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0001000000000000000000000000",
"0000000000000000001000000000",
"0000000000000000000010000000",
"0000000000000000000000100000",
"0000100000000000000000000000",
"2141202316620216001030000000",
"2142601525130306006030000000",
"5622254541153121634045600200",
"4032120643640003011030000000",
"2143422142650203002000000000",
"1445536254135536413104500300",
"0000001000000000000000000000",
"1434451624400350245003500500",
"4212214104023400000010500000",
"2503414253650102001050010000",
"5155445161622562122041401600",
"3343631265604310650026400200",
"3655132616562006002060500010",
"2350622602106616655016200101"]);

y:=CambridgeMatrix(1,F,28,[
"5600000000000000000000000000",
"0001000000000000000000000000",
"0000100000000000000000000000",
"0000001000000000000000000000",
"0000000010000000000000000000",
"0000000000100000000000000000",
"0000000000001000000000000000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"0000000000000000010000000000",
"0000000000000000000100000000",
"0000000000000000000001000000",
"0000000000000000000000010000",
"6001332655540530046000000000",
"0000000000000000000000001000",
"0000000000000000000000000100",
"0000000000000000000000000010",
"2653533364303302012411001600",
"4601235004243500040164000000",
"1360160500551106305431415420",
"3423150110213060164015000600",
"3030350340232103443134010300",
"0225324640464430151013010600",
"0000000000000000000000000001",
"6003420336165060610140200610",
"0211143201030250364314001310",
"1314214350610642226266455031",
"4604005000001000000000030002"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is A9 < GL(28,GF(7))";