/* www-ATLAS of Group Representations. G2(5) represented as 77 x 77 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,77,[ "01000000000000000000000000000000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000000000000000", 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"04122423404232244023143121121214300234403420222413013333344043214310012200341", "12232024304320231124211343103242243334122244022111001304203002344024201231343", "13321034041041111320223112302020033320440043031134021344412214340333002322302", "00000000000000000000000000000000000000000000000000000000000010000000000000000", "20323101344310113443403141121121102414214133003442122001041300010340103441114", "00000000000000000000000000000000000000000000000000000000000000100000000000000"]); y:=CambridgeMatrix(1,F,77,[ "10000000000000000000000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000000000000000", "44400000000000000000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000000000000000", "10010000400000000000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000000000000000", "10000010040000000000000000000000000000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000000000000000000000000000000", 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"00000000000000000000000000000000000000000000000000000000000000000100000000000", "00000000000000000000000000000000000000000000000000000000000000000010000000000", "00000000000000000000000000000000000000000000000000000000000000000000100000000", "00000000000000000000000000000000000000000000000000000000000000000000010000000", "00000000000000000000000000000000000000000000000000000000000000000000000100000", "00000000000000000000000000000000000000000000000000000000000000000000000010000", "00000000000000000000000000000000000000000000000000000000000000000000000001000", "00000000000000000000000000000000000000000100000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000000000000000010", "00000000000000000000000000000000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000100000000000000000000000000000000", "20302200202320340101443043221434222211211121332323111003141423233111221444043", "00403423130130244234222040041414022344231213144003242322442400004211443034023", "00000000000000000000000000000000000000000000001000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000000000100000000000000000000", "00000000000000000000000000000000000000000000000010000000000000000000000000000", "31300423031020141140341040440440322030331411132323042433031104011013100202033", "01244222020242214042100422210303202413101100142143141410210324133441002001033", "12222302424112410433031142403313211033021311403230333442142224104420001134101", "44323222434100103314104000020112412303141411040323032012344301111033420110023", "13324034211402442104320440030042323124323344442144433431314332320220202012031"]); G:=MatrixGroup<77,F|x,y>; print "Group G is G2(5) < GL(77,GF(5))";