/* www-ATLAS of Group Representations. 2.L3(4) represented as 90 x 90 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,90,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000", 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"000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000", "000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000", "000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100", "000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000", "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", "000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000", "202000202100222201101000002021011200000012002012212110120211001112200202210101000010001120", "021122111222221202021221201111001121200112122212102100001211120211010210202101012201020022", "000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000", "222212002220212212202210001211221012111121222010120212122002121011002110000110201101010021", "000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000", "100200221020210202001112100021211210211122220100122211100010011221202011100021020101220101", "000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000", "211200012000120201202010202012212012111220121110111121121200010111002121102202221101101010", "000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000", "211220002222100000001210011211021011201001002101000001211000001221221022022110001121221101", "000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000", "202020202110111100201221212010202110111212001010102101002102202212202121121012010012000011", "022211202021102120211002011120212112211111210201110112112001112110200220212002110122101112", "000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000", "202022120110020122121122001000011210001102111200212200111110122001210110011121001011201111", "000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000", "012012102201111001020122122020112101011202202200120120202010102121201102212110222201220220", "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "012020111100210111120221211102012112001111111012202110002012221111110120100021110211101012", "000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000", "210222022000110222112101000121011102010021202122122201122112120121122021201221010010221121", "000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000"]); y:=CambridgeMatrix(1,F,90,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100210012000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "122022011000000000000000000000000000000000000000000000000000000000000000000000000000000000", "020022002000000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"220101100201020202010111111220100120122111220011211010011110222110221200211111002120001010", "111022121011222000211012220022001211021220021000112222010111101212220010022020101202012121", "000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000", "022000212121200121020110122202011222100102210211010111011120101212111000020022112121010210", "122101222011011222001022212110112122222212021201221221221101202202210010110121101211002211", "110222200022101200210110111021102022122022122111011222210102122020221221102110000212120212", "000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000", "022110200112120020011011200120212020220000211121122222221221020212001021110201200011100222", "120221112000011111002020000012101102010120020200200101011000102210022221012220222112010020", "102010200100100000000000000000000000000000010000000020001000000000000000000000000000000000", "111122022010012102102220222010111100002001222121220022112100100111001201221202201000201110", "021100210212121102222000001121122002112201110001021201000221020021220202001202100201211201", "102220222201221122202000210010202021010012020111002020111202100111120100212212202102000121", "020020222211211220121102112222200000111222001102202001210222221001101200020120112022012122", "220100020011011021221222001112101100000200012122202112202100220202002122121210122000001121", "222200011021200001020000200121200001110100010110212102100011112110102102210100012021112011", "020002122020101111211000020000021001010210000000101112020101222021002122202012221100001011", "000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000", "001202010120121220122110121100202112201110112001002110200020121121021120010200022110211222", "221121200200022121002221121100021200112212102200012011201211011101001100101211211011220112", "022210200100121110000202222010100111212000220122212211111211102212220210100021220111121222"]); G:=MatrixGroup<90,F|x,y>; print "Group G is 2.L3(4) < GL(90,GF(3))";