/*
www-ATLAS of Group Representations.
L3(4) represented as 45 x 45 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,45,[
"010000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000001000000000000000000000",
"000000000000100000000000000000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000010000000000000000",
"000000000000000000000000000000100000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000000000000000000000100000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000010000000",
"000000000000000000100000000000000000000000000",
"000000000000000000000000000000000000000010000",
"000000000000000000010000000000000000000000000",
"000000000000000000000000000000000000000000100",
"000000000000000000001000000000000000000000000",
"463462213631360544630603262053226210254400662",
"640513330323016416533364114156312431401622603",
"000000000000000000000010000000000000000000000",
"133322063054532135643143364455624315234626115",
"000000000000000000000000100000000000000000000",
"544020221055144652533006426642642024403530003",
"000000000000000000000000010000000000000000000",
"446604352130234613455012044531654431644113442",
"645226415431246341566255252640441364563260415",
"000000000000000000000000000100000000000000000",
"320220541662105313542551244460454115543330550",
"000000000000000000000000000001000000000000000",
"265153321432606361042561323223302332234044120",
"304563451216404663163554153316043065204661421"]);

y:=CambridgeMatrix(1,F,45,[
"001000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"100616010000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"565241060100000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000100000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000001000000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000100000000000000000000",
"000000000000000000000000010000000000000000000",
"000000000000000000000000000100000000000000000",
"000000000000000000000000000001000000000000000",
"000000000000000000000000000000010000000000000",
"000000000000000000000000000000001000000000000",
"000000100000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000100000",
"000000001000000000000000000000000000000000000",
"000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000010",
"000000000000000000000000000000000000000000001",
"326421552144410552132552005224656625415442653",
"111626000500000100100000001002000000000000100",
"121203550155433632326334443525606606655463646",
"454133212205410556452515340114340106034126362",
"141162551530526103453410046121026066152114123",
"000000000001000000000000000000000000000000000",
"216152633000555405455051420603614604412060261",
"451454452034201206503661514543352612166060302",
"000000000000000000000000000000000001000000000",
"160222005301306320414304260430604551006452014",
"450606053561230032040452436613446660431443464",
"531130504445036153266035050650132645650365322",
"000000000000010000000000000000000000000000000",
"534560340642353562511154645601352132403012011"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is L3(4) < GL(45,GF(7))";