/* www-ATLAS of Group Representations. A11 represented as 34 x 34 matrices over GF(3). */ F:=GF(3); x:=CambridgeMatrix(1,F,34,[ "0100000000000000000000000000000000", "2200000000000000000000000000000000", "0001000000000000000000000000000000", "0000010000000000000000000000000000", "0000000100000000000000000000000000", "0010000000000000000000000000000000", "1011200101000000000000000000000000", "0212011102000000000000000000000000", "0000000000001000000000000000000000", "2001101200000000000000000000000000", "1102100110002010000000000000000000", "1112002111112020000000000000000000", "1002202121002000000000000000000000", "0000000000000000010000000000000000", "0000000000000000000100000000000000", "0000100000202200010110000000000000", "0110200120202211110020000000000000", "1100211202202012010010000000000000", "0000000000000000000000001000000000", "2202020120101000000000000000000000", "0220100000001001000000000000000000", "2011200210001100012000001010000000", "0110000010202102002111101020000000", "2012202221102222002012011010000000", "1210111212202112000011001020000000", "2121100200000200011000002100000000", "1022100120002000011001002000000000", "0110200000001100010000002000000010", "0110200000001200012002002011100020", "1001100210200011010022002012010010", "1011002201100222012012002011001020", "0221212120101202021201111000202102", "0100221010001101022002220001101001", "1211102210001202020002111022202010"]); y:=CambridgeMatrix(1,F,34,[ "0010000000000000000000000000000000", "0220000000000000000000000000000000", "0000100000000000000000000000000000", "0000001000000000000000000000000000", "0000000010000000000000000000000000", "0000000001000000000000000000000000", "0000000000100000000000000000000000", "0000000000010000000000000000000000", "0000000000000100000000000000000000", "0000000000000010000000000000000000", "0000000000000001000000000000000000", "0000000000000000100000000000000000", "2202101100021100000000000000000000", "0000000000000000001000000000000000", "0000000000000000000010000000000000", "0000000000000000000001000000000000", "0000000000000000000000100000000000", "0000000000000000000000010000000000", "0000000000000000000000000100000000", "2122201110012002010002222000000000", "0000000000000000000000000010000000", "0000000000000000000000000001000000", "0000000000000000000000000000100000", "0000000000000000000000000000010000", "0000000000000000000000000000001000", "0000000000000000000000000000000100", "0000000000000000000000000000000010", "2001112220211101021112222200000000", "2221122000011202012021111201000100", "0000000000000000000000000000000001", "1001221210101100200000000200010100", "1210200010000200001000000200000100", "2020202120210002022102222000000000", "2000212201101000112012000100100100"]); G:=MatrixGroup<34,F|x,y>; print "Group G is A11 < GL(34,GF(3))";