/*
www-ATLAS of Group Representations.
M22 represented as 45 x 45 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,45,[
"010000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000000000000001000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000000000000001000000000000000000000",
"000000000000000000000000010000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000000000000000000100000000000000000",
"000000000000001000000000000000000000000000000",
"000000000000000000000000000000100000000000000",
"000000000000000000000000000000010000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000000000000000000010000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000000000000000000000100000000",
"000000000000000000010000000000000000000000000",
"000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000001000",
"000000000000000000000100000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000000000000000000000001",
"633143232040325462320025021446225420340554001",
"000000000000000000000000100000000000000000000",
"134655630251432241044164346204545021066353356",
"000000000000000000000000001000000000000000000",
"242460055166225360500026335511403022656450354",
"230165340064441113242451410344643001432260560",
"000000000000000000000000000010000000000000000",
"030104600316116225066124043522556414145664632",
"000000000000000000000000000001000000000000000",
"433364526505312422666341054654226512036231253",
"605650260304604256445125640315312021433661556",
"000000000000000000000000000000001000000000000"]);

y:=CambridgeMatrix(1,F,45,[
"150000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"066060000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000100000000000000000000",
"233060002000004000003000000000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000010000000000000000",
"000000000000000000000000000001000000000000000",
"000000100000000000000000000000000000000000000",
"000000000000000000000000000000001000000000000",
"000000000000000000000000000000000100000000000",
"000000010000000000000000000000000000000000000",
"000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000010000",
"450400100005000000000000000000000000000000000",
"000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000010",
"626526025656064061411114036524501604151354602",
"252142154511211126661050531256613041225604161",
"402523323314250353012404530600520641631314564",
"323151164320640556440044124664012326360106651",
"605233310612045564523015043632245021043425345",
"123442102031024635554505465263053411531464221",
"524336520006143505505125305051622055141316565",
"110023445361043665040360642161110660506036035",
"000000000000010000000000000000000000000000000",
"544611145315462205611111010512221632254065050",
"513122055624102444060241442261515404613413304",
"054220650235156532135100461505635555065156643",
"560643616433320234210016014343460252114264002"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is M22 < GL(45,GF(7))";