/* www-ATLAS of Group Representations. A10 represented as 35 x 35 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,35,[ "01000000000000000000000000000000000", "00010000000000000000000000000000000", "00000100000000000000000000000000000", "10000000000000000000000000000000000", "00000000100000000000000000000000000", "00000000010000000000000000000000000", "00000000000100000000000000000000000", "00000000000001000000000000000000000", "00000000000000010000000000000000000", "00100000000000000000000000000000000", "00000000000000000010000000000000000", "00000000000000000000100000000000000", "00000000000000000000001000000000000", "00000000000000000000000010000000000", "00000000000000000000000000100000000", "00001000000000000000000000000000000", "00000000000000000000000000000100000", "00000000000000000000000000000001000", "00000000000000000000000000000000010", "11012231102403331300021240340302243", "00000010000000000000000000000000000", "43204013132231410304004211221211400", "43242201111424443311432103132433423", "20030304044312204314104242021414010", "00000001000000000000000000000000000", "11430324431424341200104300021101430", "40444303014424142440132340243434331", "02324024134013311404040233234304013", "31200031322041012423311131242140414", "33243313121223030323211421211211103", "43143043300010440430210032444321312", "41311023343234203211320343421044010", "12210444121121430243340134111411003", "00000000001000000000000000000000000", "04421333043001411244424301434010441"]); y:=CambridgeMatrix(1,F,35,[ "00100000000000000000000000000000000", "00001000000000000000000000000000000", "00000010000000000000000000000000000", "00000001000000000000000000000000000", "04404000000000000000000000000000000", "00000000001000000000000000000000000", "00000000000010000000000000000000000", "00000000000000100000000000000000000", "00000000000000001000000000000000000", "00000000000000000100000000000000000", "00000000000000000001000000000000000", "00000000000000000000010000000000000", "00000000000000000000000100000000000", "00000000000000000000000001000000000", "00000000000000000000000000010000000", "00000000000000000000000000001000000", "00000000000000000000000000000010000", "00000000000000000000000000000000100", "00000000000000000000000000000000001", "13210020103324333422430031144014022", "41433420301333403003040422020002313", "41230300430133210222133430024144213", "14241240032033211041101330030143233", "44423032423244101031420210411443010", "22122002423431221122041441344431204", "41413342023112043411201241101101222", "33100332232211112330110104133440213", "32040011244020420312223033404144203", "22341442024012212424143002422120121", "40103403042122224440102100434301302", "33002130420424233130032040024411430", "20232442401422140124310031222121130", "42003314422013442312212032240322410", "40324024024123331134110242441021004", "20404312423443013143412324204323313"]); G:=MatrixGroup<35,F|x,y>; print "Group G is A10 < GL(35,GF(5))";