/*
www-ATLAS of Group Representations.
L3(4) represented as 45 x 45 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,45,[
"010000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000001000000000000000000000",
"000000000000000000000000010000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000000000000000010000000000000000",
"000000000000000000000000000000100000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000000000000000000000100000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000000000000000000001000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000010000",
"000000000000000000010000000000000000000000000",
"000000000000000000000000000000000000000000010",
"000000000000000000001000000000000000000000000",
"132056670303442034577650854075361016110716885",
"613505621528602528542215864622450230883075754",
"000000000000000000000010000000000000000000000",
"352544722162710714480676637470651577104763858",
"000000000000000000000000100000000000000000000",
"442272887634686543431170622653164673636306565",
"523785215345845712073877703855242774884837000",
"000000000000000000000000001000000000000000000",
"726743554274013084417605770603152752511177886",
"000000000000000000000000000100000000000000000",
"802684683833012682313718617275485704823164168",
"860517777043626368283163654765362127705637842",
"000000000000000000000000000001000000000000000",
"381178250712455843605555757370474878620447205"]);

y:=CambridgeMatrix(1,F,45,[
"001000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"100210012000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"122022011000000000000000000000000000000000000",
"020022002000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000001000000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000100000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000100000000000000000",
"000000000000000000000000000001000000000000000",
"000000000000000000000000000000010000000000000",
"000000000000000000000000000000001000000000000",
"000000100000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000100",
"000000000100000000000000000000000000000000000",
"000000000000000000000000000000000000000000001",
"606131846667103467042473684812547107555582426",
"222120111100100100010200001020000002000000000",
"002748332303011670736876457611801846885347120",
"236762418580268810241620763805307458437582755",
"065066815521306733224856434886726738060631453",
"000000000001000000000000000000000000000000000",
"855308222513401050187735730472378018601786412",
"478840155361868058386232021523723074838016145",
"000000000000100000000000000000000000000000000",
"844563317457873173207451332570253558836406548",
"180674100572586722312767385180665283053673687",
"000000000000000000000000000000000001000000000",
"085037863262263144658828301122332526051550348",
"573182612006540658483005047466376588135817066"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is L3(4) < GL(45,GF(9))";