/*
www-ATLAS of Group Representations.
6.L3(4):2a represented as 54 x 54 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,54,[
"010000000000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000000000000",
"000000000000000100000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000000000",
"000000000000000000001000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000000000",
"000000000000000000000001000000000000000000000000000000",
"000000000000000000000000010000000000000000000000000000",
"000000000000100000000000000000000000000000000000000000",
"000000000000000000000000000010000000000000000000000000",
"000000000000001000000000000000000000000000000000000000",
"010600100000000000100030000000000000000000000000000000",
"205020000000200000000500000000000000000000000000000000",
"000000000000000010000000000000000000000000000000000000",
"000000000000000000000000000000000100000000000000000000",
"000000000000000001000000000000000000000000000000000000",
"000000000000000000000000000000000001000000000000000000",
"000000000000000000000000000000000000010000000000000000",
"000000000000000000010000000000000000000000000000000000",
"000000000000000000000000000000000000000010000000000000",
"000000000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000000000001000000000",
"000000000000000000000000000000000000000000000010000000",
"000000000000000000000000100000000000000000000000000000",
"000000000000000000000000000000000000000000000000010000",
"000000000000000000000000001000000000000000000000000000",
"000000000000000000000000000000000000000000000000000010",
"000000000000000000000000000100000000000000000000000000",
"000000000000000000000000000000000000000000000000000001",
"642254043512464564014002463025304433461135311043212551",
"000000000000000000000000000001000000000000000000000000",
"611660100000600000100000600000000100000001000000000000",
"000000000000000000000000000000100000000000000000000000",
"321213622155515024054532253652443262104305650024634165",
"000000000000000000000000000000010000000000000000000000",
"142565030020406632346556061415630462155503303635331620",
"000000000000000000000000000000001000000000000000000000",
"303415201026044041111605523322520051536141111000160144",
"343636423101222502310016333663030302615660163012234642",
"000000000000000000000000000000000010000000000000000000",
"261663216334655142225106036013415640564211123014044216",
"313141310315352212452260664600660664640433621006424210",
"000000000000000000000000000000000000100000000000000000",
"000000000000000000000000000000000000001000000000000000"]);

y:=CambridgeMatrix(1,F,54,[
"001000000000000000000000000000000000000000000000000000",
"066000000000000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000000000000",
"106010000000000000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000000000000",
"000000000000100000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000000000000",
"000000000000000010000000000000000000000000000000000000",
"000000000000000001000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000000000000",
"000000000000000000010000000000000000000000000000000000",
"000000000000000000000100000000000000000000000000000000",
"000000000000000000000010000000000000000000000000000000",
"000000000000000000000000100000000000000000000000000000",
"000000000000000000000000001000000000000000000000000000",
"000000000000000000000000000100000000000000000000000000",
"000000000000000000000000000001000000000000000000000000",
"000000000000000000000000000000100000000000000000000000",
"000000100000000000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000000000000000",
"000000000000000000000000000000001000000000000000000000",
"000000010000000000000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000000000000",
"000000000000000000000000000000000000100000000000000000",
"000000000000000000000000000000000000001000000000000000",
"000000000000000000000000000000000000000100000000000000",
"000000000000000000000000000000000000000001000000000000",
"000000000000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000000000000100",
"000000000001000000000000000000000000000000000000000000",
"204143603003255126616150600530343445332406020415510060",
"154240303242553033135612326421402635466205226360443265",
"046066313533221326252545514166550411516110425046313026",
"663212531026103004336225622601154220160335663254342542",
"000000000000010000000000000000000000000000000000000000",
"625626664623205250632034013306522221012054622640620222",
"452310541322604045342446104645144423562553430165310120",
"260406106412161632111124033531134061060516155434236155",
"000000000000000100000000000000000000000000000000000000",
"315415643212516223264512412542350126224000605122106240",
"346510221013431650550035205623100163023045502360233614",
"450430106413221256323665413144304324401043260043350165",
"641553660040043121165463303263202363254662223222161645",
"331365253530112666441003050015662020015244642602565444",
"152646114442303546225226136454440451160021041021155615",
"062111402526503031156506000060041344533251104235404651",
"260624436440462122060613214430363536551515560634616562"]);

G<x,y>:=MatrixGroup<54,F|x,y>;
print "Group G is 6.L3(4):2a < GL(54,GF(7))";