/*
www-ATLAS of Group Representations.
S8(2) represented as 51 x 51 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,51,[
"010000000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000000",
"000000000000000001000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000000",
"000000000000000000000100000000000000000000000000000",
"000000000010000000000000000000000000000000000000000",
"000000000000000000000000100000000000000000000000000",
"000000000001000000000000000000000000000000000000000",
"000000000000000000000000001000000000000000000000000",
"000000000000000000000000000010000000000000000000000",
"000000000000000000000000000000100000000000000000000",
"000000000000001000000000000000000000000000000000000",
"000000000000000000000000000000000100000000000000000",
"000000000000000000000000000000000001000000000000000",
"000000000000000010000000000000000000000000000000000",
"000000000000000000000000000000000000001000000000000",
"000000000000000000100000000000000000000000000000000",
"611364414305632022432510503140500600000000000000000",
"000000000000000000010000000000000000000000000000000",
"163442316501613056141442226031600305005000000000000",
"000000000000000000001000000000000000000000000000000",
"615425343233340424362012544010510605003000000000000",
"523643126423511524221641565050601306001000000000000",
"000000000000000000000010000000000000000000000000000",
"341060034050436200232134055040500413002000000000000",
"000000000000000000000001000000000000000000000000000",
"256415346200316030156116446020100601103000000000000",
"006110600006006001016100000060100000010000000000000",
"000000000000000000000000010000000000000000000000000",
"616111641620365510512260602060500100000100000000000",
"613242565550120240525004342050200003003010000000000",
"160606116100610010000000600000000000000001000000000",
"164032062561150136462014413010500603006000100000000",
"252151635633423454060403250010000004002000010000000",
"006015044220332510134506646040300001003000001000000",
"004536225115521622365640514010200300006000000100000",
"611560230065404132124343436050300304004000000010000",
"165526213156640231201001415000600006006000000001000",
"615020050044202333333553404040400204000000000000100",
"430401345653323254414452263060300205001000000000010",
"524234505324023523326421554050100506002000000000001"]);

y:=CambridgeMatrix(1,F,51,[
"001000000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000000",
"666056016010000000000000000000000000000000000000000",
"066066006000000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000000",
"000000000000000000010000000000000000000000000000000",
"000000000000000000001000000000000000000000000000000",
"000000000000000000000010000000000000000000000000000",
"000000000000000000000001000000000000000000000000000",
"100000000000000000000000000000000000000000000000000",
"000000000000000000000000010000000000000000000000000",
"000000000000000000000000000100000000000000000000000",
"000000000000000000000000000001000000000000000000000",
"000000000000000000000000000000010000000000000000000",
"000000000000000000000000000000001000000000000000000",
"000000000000000000000000000000000010000000000000000",
"000000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000000100",
"503452215201022042352243040050423020100000005005000",
"000000000000000000000000000000000000000000000000010",
"000000000000000000000000000000000000000000000000001",
"440244615121120161052153323621015455655200036333520",
"654134460122356211630262420655366542164512631313451",
"562265115421535463112441214530066054120531104343250",
"000000100000000000000000000000000000000000000000000",
"140555162066152061535501513344264032520513650052453",
"326655566324533411343612115351452156551055512220020",
"511040303141463430453146335065124220233530325140566",
"026636160003114334531335461104064005634204033113264",
"342420502551614646151014502160514415150113556111032",
"661163101502301034630001140463416303241125330616036",
"000000000100000000000000000000000000000000000000000",
"363120066421321631146645002016330241554420134235116",
"546225334611545054654553315550221616345260010316332"]);

G<x,y>:=MatrixGroup<51,F|x,y>;
print "Group G is S8(2) < GL(51,GF(7))";