/* www-ATLAS of Group Representations. 2.L3(4) represented as 70 x 70 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,70,[ "0100000000000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000000000", "1100000000001000010001000001000060000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000000000000000000000000000001000000000000", "1100000000000000000000000000610000000000000000000000000000600000000000", "0000000000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000001000000000000000000000000000000000", "6006000000000000000000000000000000060060000000000000000010000000000000", "0000000000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000000000", "3004665120651061341141565114045226626032206553015513201122504054364000", "0000000000000000000000000000000000000000001000000000000000000000000000", "0110000000000000000000000000010000000000000001001000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000000000", "1100000000000000000000600000000000000010000060000000000000000000000000", "6000000000000000000000000000000000000060000000000000000000000000000100", "0011606000000000000000000000000000000000000000000000000000006000000000", "0000000000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000600000000000600000000000060000000", "1001106010060000000000000000000000000000000000000000600000000000100000", "0660106010060000000000000000000000000001000000000000000000000001000000", "0000000000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000000001000000000000000000", "0100000000000000000000000000010000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000000000000000000001", "0000000000000000000000000000000000000000000000000000000000000000000010"]); y:=CambridgeMatrix(1,F,70,[ "0010000000000000000000000000000000000000000000000000000000000000000000", "0660000000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000", "1060100000000000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000000000", "1001116016061000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000000000", "1001000100001001000000000000000000000000000000000000000000000000000000", "0066061000600000000000000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000000000", "0000001000010000000600000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000000001000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000010000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000000000100000", "0424621656001016010060610010116000060606010000100010006000000000000000", "0000000000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000000000000000000000000010", "0000000000000000000000010000000000000000000000000000000000000000000000", "1500364050040000010020300002611661031162600125661165600066105011601000", "6116632553524212631601644310133656446063555340033301455245101520642600", "5123504035341464665124344352525022402051123545236554122411012152650000", "0102300650006016510016011661621660030063601116061106606066105011512000", "1020204046232165036104110061636020101566121601261150050661016560020600", "0000000000000000000000000000000000000010000000000000000000000000000000", "3251322400661626400043615263636114131403101253056563516614646120123460", "0256004650040000260001506106166010046015100662016061100011602666165000", "0000000000000000000000000001000000000000000000000000000000000000000000", "2605366110661001251051566115146116636024106662015612100121603065265000", "4513254251632061221642666114155210646132166662615513101111503064255000", "0000106010060000000000000000000000000000000000000000000000000000010000", "5510552426225025306144222554552461361630412224153253405545312024333600", "0000006600060100600000001000000000000000000000000000060000000000000000", "3443624650043255200165016106016130030614210563106062151012512555205606"]); G:=MatrixGroup<70,F|x,y>; print "Group G is 2.L3(4) < GL(70,GF(7))";