/*
www-ATLAS of Group Representations.
M22:2 represented as 45 x 45 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,45,[
"010000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000100000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000001000000000000000000000000000000000",
"000000000000000000000000010000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000000000000000000100000000000000000",
"000000000000000000000000000001000000000000000",
"000000000000001000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000000000000000000000100000000000",
"000000000000000000000000000000000001000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000000000000000000000001000000",
"000000000000000000010000000000000000000000000",
"000000000000000000000000000000000000000001000",
"000000000000000000001000000000000000000000000",
"623588000103020050000000000000200000800000000",
"216780060456635656366088143874240818886371750",
"251061182674811645371003623522778361038307364",
"000000000000000000000001000000000000000000000",
"726628147614438774326073834550263613826625156",
"000000000000000000000000100000000000000000000",
"636537000804040080000000000000000000100000000",
"302577320817484043848611403422105248538232112",
"000000000000000000000000001000000000000000000",
"432331520522480443077750448750610604200522765",
"278574641133561087131515335006644344876734711",
"000000000000000000000000000010000000000000000",
"526035357073443550181487765865454234627331714",
"365077566161484118324007343882138132586574428",
"526624015272438883030764461760620853567534253"]);

y:=CambridgeMatrix(1,F,45,[
"001000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"361300000000000000000000000000000000000000000",
"822200000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000001000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000001000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000000000000000000000001000000000000000000000",
"000000000000000000000000100000000000000000000",
"000001000000000000000000000000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000010000000000000000",
"000000000000000000000000000000100000000000000",
"000000000000000000000000000000010000000000000",
"000000000000000000000000000000001000000000000",
"000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000010000",
"000000001000000000000000000000000000000000000",
"000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000010",
"000000000000000000000000000000000000000000001",
"862880426614402385255223210211647531308201852",
"825182014771235726243052472561035747246177082",
"000000000010000000000000000000000000000000000",
"624407327343010471330341636136177758240702712",
"807613407577845337358363270017771301061605416",
"121771612448774180260747135152146014180024743",
"336217754372463418770125740182823817708765213",
"037281143521766114288544116680060465701627612",
"781024240027685148442550318221042356714878741",
"237672078680486386378663805470163526848344306",
"086066477260530023037084420855812420332338823",
"000000000000010000000000000000000000000000000",
"757520102623623023347850166382763472487417373"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is M22:2 < GL(45,GF(9))";