/* www-ATLAS of Group Representations. 4b.L3(4):2a represented as 72 x 72 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,72,[ "010000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000", "000000000000001000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000", "000000000000000000100000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000", "000000000000000000000100000000000000000000000000000000000000000000000000", "000000000000000000000001000000000000000000000000000000000000000000000000", "000000000000000000000000010000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000100000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000100000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000001000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000001000000000000000000000000000000000", "000000000000000000000000000000000000000010000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000010000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000100000000000000000000000000", "000000000000000000000000000000000000000000000001000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000001000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000001000000000000000000", "000000000000000000000000000000000000000000000000000000100000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000100000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000001000000000000", "000000000000000000000000000000000000000000000000000000000000010000000000", "000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000010000000", "000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000001000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000000000010000000000000000000000000000000000000", "010021112001210011020122222020000201011110100112211000000010020002100121", "010001211211122001102112101221120122220110212001210002212022012112020121", "000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000", "111020102111110121221000112212221202210122122211020202011202120000012001", "210221020102201111120202022210102222210001101200201122122110101012111100", "000000000000000000000000000000000000000100000000000000000000000000000000", "220100110001102121122101022122121012100001210212200011012121122121110021", "000000000000000000000000000000000000000001000000000000000000000000000000", "121210011121012111010112000122012200220111022110000210112120122210202201", "000000000000000000000000000000000000000000100000000000000000000000000000", "201111201121101202112220120212020220220221112111010121211221120200001120", "020012201000120022210012010200112110211110011200210100202200210102010021", "000000000000000000000000000000000000000000001000000000000000000000000000", "102011210111211020001020202020011022001010020001000110110222012000212111", "211202221212211222122010101120221101010000011202221222022222211001010120", "000000000000000000000000000000000000000000000010000000000000000000000000", "211211002000001000110011122110120121201010002020020200002221000210202210", "000000000000000000000000000000000000000000000000100000000000000000000000", "101121100200002112000112002012010000111021101110201020021221001122221201", "000000000000000000000000000000000000000000000000010000000000000000000000"]); y:=CambridgeMatrix(1,F,72,[ "001000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000", "102211012000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000", "220112002000000000000000000000000000000000000000000000000000000000000000", "220022002000000000000000000000000000000000000000000000000000000000000000", "000000000000010000000000000000000000000000000000000000000000000000000000", "000000000000000100000000000000000000000000000000000000000000000000000000", "000000000000000010000000000000000000000000000000000000000000000000000000", "000000000000000001000000000000000000000000000000000000000000000000000000", "000000000000000000010000000000000000000000000000000000000000000000000000", "000000000000000000001000000000000000000000000000000000000000000000000000", "000000000000000000000010000000000000000000000000000000000000000000000000", "000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000100000000000000000000000000000000000000000000", "000000000000000000000000000001000000000000000000000000000000000000000000", "000000000000000000000000000000010000000000000000000000000000000000000000", "000000000000000000000000000000001000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000010000000000000000000000000000000000000", "000000000000000000000000000000000000100000000000000000000000000000000000", "000000000000000000000000000000000000010000000000000000000000000000000000", "000000000000000000000000000000000000000100000000000000000000000000000000", "000000000000000000000000000000000000000001000000000000000000000000000000", "000000000000000000000000000000000000000000100000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000001000000000000000000000000000", "000000000000000000000000000000000000000000000010000000000000000000000000", "000000000000000000000000000000000000000000000000100000000000000000000000", "000000000000000000000000000000000000000000000000010000000000000000000000", "000000000000000000000000000000000000000000000000000100000000000000000000", "000000000000000000000000000000000000000000000000000010000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000010000000000000000", "000000000000000000000000000000000000000000000000000000001000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000010000000000000", "000000000000000000000000000000000000000000000000000000000000100000000000", "000000000000000000000000000000000000000000000000000000000000001000000000", "000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000000000000000000000000000100000", "000000000000001000000000000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000001000", "000000000000000000000000000000000000000000000000000000000000000000000010", "210102102221200010220110211000011211011011220202111202101212112121022102", "002220001202011011021011101102120022101220020211001100102112011100001212", "221212110102010020022020111102002011211122112001010122211021220101001021", "002200011010002110022210221120220200000212200101122112022111011201122021", "020201121012010101001121020112211011200001120122202102101012110000211021", "111010000002200000000000000000000100000000020000000000000200000000000000", "100201010112112122212100022021121011101001120112202020022220221000021202", "121202220222222121211022021112110111121200022021110101220101222202220201", "011120200222022001211212001222010101202120222222221122002011200101012211", "001000121221122001122200222012121122000010022201122222200220211211002011", "200121202202110211002120001000110012202122201111102012202120222220200200", "000000000000000000100000000000000000000000000000000000000000000000000000", "100010011010120221122120122221200220122102201012101110102010200110221102", "020022212110212112010202000221121112011011111221221121211020122121120022", "221122210220220001211211020000000122200021110020220212112021200202100121", "101000100201100000000000000000000200000000010000000001000200000000000000", "100012122222201120201101221122111210002102212020002011021220202222111111", "000101221111111000110002121112220102022111220210221111111012211020222202", "201221001100102111011120002012222212120002021021111202021112010120221002", "021110220202111201220001210000001221212212200120200220000100002200100212", "222002101201202102221111221220010220021120111210210202002011200021121010", "000000000000000000000100000000000000000000000000000000000000000000000000", "210212120112121000021100201112002110121102002222020202221211202121110221"]); G:=MatrixGroup<72,F|x,y>; print "Group G is 4b.L3(4):2a < GL(72,GF(3))";