/* www-ATLAS of Group Representations. L3(4) represented as 90 x 90 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,90,[ "010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "112200000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", 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"112120002221002201022200121221220000021000021220201201120222202012100212211121120220011110"]); y:=CambridgeMatrix(1,F,90,[ "001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000", 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"010221110010220221222202211102120210200100210011002100100020122222012102011011022022112220", "021020011101221010201201201120221222222010222212002112111111201102002100021102222111121021", "100220001010020101000122222100221010010212100011111001010100202102212100220002201110221101", "112220022202200212120221010212100202100010211122111121120020122121120221220120212201002002", "122021221220111000100212102010221002112021121101210101122222021112200102212221120211122211", "000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000", "021202212102000110112101211221120202121121010002011211021200210022021122021002211200012111", "121020100000000112101210202200021021001102120211110020122220121111011011111122011122100201", "212002002122122121210000210110101020220111121112000211120001212121020010010222101122012101", "211101111221122121101012202122201021102010212012201102100002020120012122010222010010100010", 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"000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000"]); G:=MatrixGroup<90,F|x,y>; print "Group G is L3(4) < GL(90,GF(3))";