/*
www-ATLAS of Group Representations.
M22 represented as 45 x 45 matrices over GF(9).
*/

F<w>:=GF(9);

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",
"842433166721770082401081286378563614243260688",
"000000000000000000000000100000000000000000000",
"841622522748667702265305821460554616505652768",
"000000000000000000000000001000000000000000000",
"420564365660681843664703713615317048407205588",
"273558451670671325785484282782052871583418875",
"000000000000000000000000000010000000000000000",
"385366818813282457725203233371031287474578852",
"000000000000000000000000000001000000000000000",
"423643777441517266280338753205172756275766617",
"728866115527867732114561075805767631471754226",
"000000000000000000000000000000001000000000000"]);

y:=CambridgeMatrix(1,F,45,[
"001000000000000000000000000000000000000000000",
"022000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"102010000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000100000000000000000000",
"000000100001002000000000000000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000010000000000000000",
"000000000000000000000000000001000000000000000",
"000000100000000000000000000000000000000000000",
"000000000000000000000000000000001000000000000",
"000000000000000000000000000000000100000000000",
"000000010000000000000000000000000000000000000",
"000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000010000",
"000000100001000000002000000000000000000000000",
"000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000010",
"878754332304385356310086374116620653638014183",
"720188151578623000528217338471832772688361237",
"208888032801418823653706570648704335602122408",
"288152473746306552646064032181742161586270224",
"143552322427573227882550788334246024328480408",
"755451470365142250187824756032631243170378606",
"687433504002625613605824512738208720275346744",
"505748220486630204331176041723578104716754063",
"000000000000010000000000000000000000000000000",
"632011556481400240130800760751361601486115128",
"605520276165046617308578705342866502502124051",
"637421105244736267007558820542674575631178837",
"825728330510227722003207148234448221122827835"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is M22 < GL(45,GF(9))";