/* www-ATLAS of Group Representations. J2:2 represented as 26 x 26 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,26,[ "01000000000000000000000000", "10000000000000000000000000", "00001000000000000000000000", "00000010000000000000000000", "00100000000000000000000000", "00000000100000000000000000", "00010000000000000000000000", "00000000001000000000000000", "00000100000000000000000000", "00000000000010000000000000", "00000001000000000000000000", "00000000000000010000000000", "00000000010000000000000000", "00000000000000000010000000", "00000000000000000000100000", "00000000000100000000000000", "00000102102000002000000000", "00000000000000000000000100", "00000000000001000000000000", "00020212210020002001000000", "00000000000000100000000000", "02222101002020122011202200", "20222102202221200201120000", "00000000000000000100000000", "11202012102000101210202101", "12010201101220001101020110"]); y:=CambridgeMatrix(1,F,26,[ "00100000000000000000000000", "00010000000000000000000000", "00000100000000000000000000", "02220000000000000000000000", "00000001000000000000000000", "11020100000000000000000000", "00000000010000000000000000", "00000000000100000000000000", "11220010120000000000000000", "00000000000001000000000000", "00000000000000100000000000", "00000000000000001000000000", "00000000000000000100000000", "00000000000000000001000000", "00000000000000000000010000", "00000000000000000000001000", "11002012100200002000000000", "00000000000000000000000010", "00000000000000000000000001", "20020220020002000002000000", "20222100221221001102120000", "22002200011100200100010020", "12002121022121121101020102", "00010002020220102000020110", "02200001210211102000020000", "22210021112200100222202022"]); G:=MatrixGroup<26,F|x,y>; print "Group G is J2:2 < GL(26,GF(3))";