/* www-ATLAS of Group Representations. 4a.L3(4):2a represented as 80 x 80 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,80,[ "01000000000000000000000000000000000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000000000000000000", "00000000000000000010000000000000000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000001000000000000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000000000000000000", "01020010000000000010002000000000000000000000000000000000000000000000000000000000", "10201000000010000000020000000000000000000000000000000000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000010000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000001000000000000000000000000000000000000000", "00000000000000000000000000000000000000000010000000000000000000000000000000000000", "00000000000000000000000000000000000000000000100000000000000000000000000000000000", "00000000000000000000000000000000000000000000001000000000000000000000000000000000", "00000000000000000000000010000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000001000000000000000000000000000000", "00000000000000000000000000100000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000001000000000000000000000000000", "00000000000000000000000000010000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000010000000000000000000000000", "00000000000000000000000000000000000000000000000000000000100000000000000000000000", "00000000000000000000000000000100000000000000000000000000000000000000000000000000", "21122010000020000010000020000000010000000100000000000000000000000000000000000000", "00000000000000000000000000000010000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000010000000000000000000", "00000000000000000000000000000001000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000010000000000000000", "00000000000000000000000000000000100000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000000100000000000000", "00000000000000000000000000000000000000000000000000000000000000000001000000000000", "00000000000000000000000000000000001000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000000000001000000000", "00000000000000000000000000000000000000000000000000000000000000000000000010000000", "00000000000000000000000000000000000010000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000000000000000010000", "00000000000000000000000000000000000000100000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000000000000000000010", "00000000000000000000000000000000000000010000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000000000000000000001", "01112120001200200102011201222120000100022101200211020000200010110010211020020120", "21110020011221010100010112210121111202201222211201221202211101010122012202001121", "00000000000000000000000000000000000000000001000000000000000000000000000000000000", "21210101221121011012100002011210111100122012022120201002102110100212020020220122", "01000001201112010222012001202122200220000012120202110211002121210011212122120011", "00000000000000000000000000000000000000000000010000000000000000000000000000000000", "02201111112110100010210212001120002010011221221100012000201101112100220210020110", "00000000000000000000000000000000000000000000000100000000000000000000000000000000", "21022212200200112112200001211200021211112121201022122120202211002000202021211110", "00000000000000000000000000000000000000000000000010000000000000000000000000000000", "20200021222212010002112000011221211222111022101020121022101122211022220112012112", "00200102212102102002002110120021010220022200120202201001012222122210112220210121", "00000000000000000000000000000000000000000000000000100000000000000000000000000000", "11212120000122021210220201222012001222211022101111100111020101220020200221220201", "00000000000000000000000000000000000000000000000000010000000000000000000000000000", "00000000000000000000000000000000000000000001000000000000000020000000000001000000", "10102110022211020101221110122221221020000200220100120202112111220212102221200221", "00000000000000000000000000000000000000000000000000000100000000000000000000000000", "11000021201202022012022222001002020201012121021011111222001111020002111002222002", "22222001012101110210012200012012002002022201010200201121022221210200000122101200", "00000000000000000000000000000000000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000000000010000000000000000000000"]); y:=CambridgeMatrix(1,F,80,[ "00100000000000000000000000000000000000000000000000000000000000000000000000000000", "02200000000000000000000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000000000000000000", "10201000000000000000000000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000000000000000000", 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"00000000000000000000000000000000000000000100000000000000000000000000000000000000", "00000000000000000000000000000000000000000001000000000000000000000000000000000000", "00000000000000000000000000000000000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000100000000000000000000000000000000", "00000000000000000000000000000000000000000000000010000000000000000000000000000000", "00000000000000000000000000000000000000000000000000100000000000000000000000000000", "00000000000000000000000000000000000000000000000000010000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000100000000000000000000000000", "00000000000000000000000000000000000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000000000010000000000000000000000", "00000000000000000000000000000000000000000000000000000000001000000000000000000000", "00000000000001000000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000100000000000000000000", "00000000000000000000000000000000000000000000000000000000000001000000000000000000", "00000000000000000000000000000000000000000000000000000000000000100000000000000000", "00000000000000010000000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000000000000000000000000000000010000000000000", "00000000000000000000000000000000000000000000000000000000000000000000100000000000", "00000000000000000000000000000000000000000000000000000000000000000000010000000000", "00000000000000000000000000000000000000000000000000000000000000000000000100000000", "00000000000000000000000000000000000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000000000000000000000000000100000", "00000000000000000000000000000000000000000000000000000000000000000000000000001000", "00000000000000000000000000000000000000000000000000000000000000000000000000000100", "00000000000000000010000000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000000000000000000010", "10110120201202001222021011002202011000020222120212201020120211121001120100220110", "02120102100220212220022110022211111210121011022201112110210021111022011022211120", "11000012120120110002211102010012121022221210102212022222011111100121020100210212", "22010021110101101101000020010001110012020001110011200120000222220112022012120212", "00000000000000000000100000000000000000000000000000000000000000000000000000000000", "11100021012212211122202112211202101202211121121012020021122112222211220200211001", "01112112200220210212201021210002110110100010201022121200001112011102110021121021", "11222000201120100100210002020202220100122110011101002202011112110221020211221010", "02021111101200101110202122022102022202020212020011001222221112212111122200210120", "00000000000000000000000100000000000000000000000000000000000000000000000000000000", "11212221200010001211000120100211020110121020101101212110212221100212020212100121", "11000201100022111000121200220112001100100222202202010110212102200122011012102220", "01112120012121212010212020122211102200221222012202011200110012022021101002021200", "01201102012120211211020202022200211021100220221110202220222122011111010110212210", "00000000000000000000000001000000000000000000000000000000000000000000000000000000", "01010020000100222001220210222202111012200222111202010210220122201102010110012102", "02001012200221022022001122201121210101121100220201201110210200022011002101222011", "22000111022120000000111200022101020022201201202010010110001010211212022100111120", "10222202221012022122021211212012111011101022212012020101011020100021200000121120", "02100111121021101211212210000112021002012212000211211201111201112000222112000002", "20011012121121221010110202021121020012121202222220002011120112202210221222122110", "02200110212220122122001201101120002102212011122010112012220002011000002220101202", "22010212012002021110001100012110112022100200100211122000212021201211120121222101"]); G:=MatrixGroup<80,F|x,y>; print "Group G is 4a.L3(4):2a < GL(80,GF(3))";