/* 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", "00000000001000000000000000000000000", "00000000000010000000000000000000000", "00000000000000100000000000000000000", "00000000000000001000000000000000000", "00000000000000000010000000000000000", "00100000000000000000000000000000000", "00000000000000000000010000000000000", "00000000000000000000001000000000000", "00000000000000000000000010000000000", "00000000000000000000000000100000000", "00000000000000000000000000001000000", "00001000000000000000000000000000000", "00000000000000000000000000000001000", "00000000000000000000000000000000010", "32220410231004010241011031032301232", "20344340422003444434404431012024032", "20340424423143431030002140441410410", "00000010000000000000000000000000000", "01033140003131211310132112341123323", "13422012242222033111322411000332031", "33343203114010032212024404344302220", "00000001000000000000000000000000000", "04300031011314214210110032201124313", "31003033342034320304133333120221223", "30203001342124203220324422010304221", "02444014202100103033212232114111003", "30232200414304422400012304242434023", "34301412011030143121230342212200014", "00000000010000000000000000000000000", "11243012004001323210100033023422021"]); y:=CambridgeMatrix(1,F,35,[ "00100000000000000000000000000000000", "00001000000000000000000000000000000", "00000010000000000000000000000000000", "00000001000000000000000000000000000", "00000000010000000000000000000000000", "00000000000100000000000000000000000", "00000000000001000000000000000000000", "00000000000000010000000000000000000", "00000000000000000100000000000000000", "00000000000000000001000000000000000", "00000000000000000000100000000000000", "04000440000400000000000000000000000", "00000000000000000000000100000000000", "00000000000000000000000001000000000", "00000000000000000000000000010000000", "00000000000000000000000000000100000", "00000000000000000000000000000010000", "00000000000000000000000000000000100", "00000000000000000000000000000000001", "32014423431242124300440020140230311", "34213034343120410141303134321304134", "42301111311321401244301241031402000", "23401330323102434411042232421312411", "11342212332434121032144100114401331", "30430440422241011114131432010310203", "41312211212401301403224441413004244", "41104220430340220223443433340300113", "12042311021103124312203321330203121", "34140221002401203231400343003242414", "32343032034232302024221132041223321", "01232044420202322234410033340032004", "44124131120300342401314323031433144", "41010321430100041334132012143201424", "43424313131124120204114333414002130", "03121113241234323010014331122420321"]); G:=MatrixGroup<35,F|x,y>; print "Group G is A10 < GL(35,GF(5))";