/* www-ATLAS of Group Representations. 4.M22 represented as 64 x 64 matrices over GF(9). */ F:=GF(9); x:=CambridgeMatrix(1,F,64,[ "1000000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "0100000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000001", "0000000000000000000000000000000100000000000000000000000000000000", "1275204663221171350362703636017654643041585274681666348502324066", "1165474132160103645888481513570806122361180075458023218643050275", "0000000000000000000000000000000001000000000000000000000000000000", "5664117265775433151087047141570248061818014402218675712131154027", "8586808801553382457664671184208630564361486115307821418115135643", "0000000000000000000000000000000000010000000000000000000000000000", "2517123471170742455177227562121840777212052521364781343540864653", "5552320386048163230807564546384336642542554705470822153470418400", "0000000000000000000000000000000000000100000000000000000000000000", "5186045700247043342347284268515234644846272087366213476215525801", "0000000000000000000000000000000000000001000000000000000000000000", "3736405330218567720576434034087307538463870688231308040250016466", "0000000000000000000000000000000000000000100000000000000000000000", "2010483260243840587326512027865847370484306347874757004116668102", "5123472877876081384132113584232422647837434604708271168614423651", "8884046881816313111204284537540628202062566616781734363858680308", "2130275866372854485521245053323024734180322054235644248078211054", "0000000000000000000000000000000000000000000010000000000000000000"]); y:=CambridgeMatrix(1,F,64,[ "0100000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000010000000000", "0000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000010", "0000000000001000000000000000000000000000000000000000000000000000", "4765386713603432787323428455277216168404170251086628616722786778", "8468526228274053267460434781021078080286060833287375378723363404", "0005005813463163763137576510474025731131058568173566802512085303", "2665774330033531661500423227886244604667021752748812768576724123", "0000000000000010000000000000000000000000000000000000000000000000", "6208630062225260637310575150776718605618103654274652267487461627", "4437162631253422121835105802481462255578773217816565562316247488", "7520314000361307883565132267713104512783110382833880737385805274", "0000000000000000000000000000000000000000000100000000000000000000", "3011407474181854844027040676706442241770330412852475350838676850", "2647132254867038185344110252865072714231461457125147201655177277", "8884546104302863170267557117781186746467508236050536703181120474", "0000000000000000010000000000000000000000000000000000000000000000", "2471810278556467613037132252417770581864777656568671858224532253", "0344576576508171262223356328342001626607205833852085810232866101", "7363774448405261441376140355885172454802884025434647031054373076", "4326151684752423200278024756348013815703142457144002464426448776", "0000000000000000000000000000000000001000000000000000000000000000", "4106041458481067016277135233862750641173318802426645688402248131"]); G:=MatrixGroup<64,F|x,y>; print "Group G is 4.M22 < GL(64,GF(9))";