/* www-ATLAS of Group Representations. J2 represented as 70 x 70 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,70,[ "0100000000000000000000000000000000000000000000000000000000000000000000", "1000000000000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000", "0000000010000000000000000000000000000000000000000000000000000000000000", "0000000001000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000000000", "0000000000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000000000100000000000000000000000000000000000", "0110004000000000010000000000000000040000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000000000", "1001000040000000000001000000004000000000000000000000000000000000000000", "0000000000000000000000000000000000000000010000000000000000000000000000", "0000000000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000000000010000000000000000000000000", "0000000000000000000000000000000000000000000000100000000000000000000000", "0000000000000000000000000000000000000000000000001000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000001000000000000000", "0000000000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000010000000000000", "0000000000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000100000000000", "0000000000000000000000000000000000000000000000000000000000010000000000", "0000000000000000000000000000000000000000000000000000000000000100000000", "0000000000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000000100", "0000000000000000000000000000000000000000000000010000000000000000000000", "0344243102132002231214241244230331013400324302440323114330430124302230", "0000000000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000000000010000000000000000000", "0432401333042141200023243213102441311130433331130320000134203231011304", "0000000000000000000000000000000000000000000000000001000000000000000000", "1024114321420131114312100211012302433110334411123140133044041221440041", "2434140020234220032222113312032144144344341124104210340341324142122243", "0000000000000000000000000000000000000000000000000000010000000000000000", "2401213010224244210142300214433340121120402444000010141312214324240310", "4302033143143240324414131420302304412444011401444313034101440212120343", "0000000000000000000000000000000000000000000000000000000100000000000000", "1104032012024124413342110141120400424334414302204011133344434012004110", "1230114121300133113330024301443232214304022213231142441013434200333131"]); y:=CambridgeMatrix(1,F,70,[ "1000000000000000000000000000000000000000000000000000000000000000000000", "0010000000000000000000000000000000000000000000000000000000000000000000", "4440000000000000000000000000000000000000000000000000000000000000000000", "0000100000000000000000000000000000000000000000000000000000000000000000", "0000001000000000000000000000000000000000000000000000000000000000000000", "0000000100000000000000000000000000000000000000000000000000000000000000", "0001000000000000000000000000000000000000000000000000000000000000000000", "0000000000100000000000000000000000000000000000000000000000000000000000", "0000000000010000000000000000000000000000000000000000000000000000000000", "1001000040000000000000000000000000000000000000000000000000000000000000", "0000010000000000000000000000000000000000000000000000000000000000000000", "1000001004000000000000000000000000000000000000000000000000000000000000", "0000000000000010000000000000000000000000000000000000000000000000000000", "0000000000000001000000000000000000000000000000000000000000000000000000", "0000000000000000010000000000000000000000000000000000000000000000000000", "0000000000000000000100000000000000000000000000000000000000000000000000", "0000000000000000000010000000000000000000000000000000000000000000000000", "0000000000001000000000000000000000000000000000000000000000000000000000", "0000000000000000000000100000000000000000000000000000000000000000000000", "0000000000000100000000000000000000000000000000000000000000000000000000", "0000000000000000000000000100000000000000000000000000000000000000000000", "0000000000000000000000000010000000000000000000000000000000000000000000", "0000000000000000000000000000100000000000000000000000000000000000000000", "0000000000000000000000000000010000000000000000000000000000000000000000", "0000000000000000000000000000001000000000000000000000000000000000000000", "0000000000000000100000000000000000000000000000000000000000000000000000", "0000000000000000000000000001000000000000000000000000000000000000000000", "0000000000000000000001000000000000000000000000000000000000000000000000", "0000000000000000001000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000010000000000000000000000000000000000", "0000000000000000000000000000000000001000000000000000000000000000000000", "0000000000000000000000000000000000000100000000000000000000000000000000", "0000000000000000000000000000000000000010000000000000000000000000000000", "0000000000000000000000000000000000000001000000000000000000000000000000", "0000000000000000000000000000000000000000100000000000000000000000000000", "0000000000000000000000010000000000000000000000000000000000000000000000", "0000000000000000000000001000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000100000000000000000000000000", "0000000000000000000000000000000000000000000001000000000000000000000000", "0000000000000000000000000000000000000000000000010000000000000000000000", "0000000000000000000000000000000000000000000000000100000000000000000000", "0000000000000000000000000000000000000000000000000010000000000000000000", "0000000000000000000000000000000000000000000000000001000000000000000000", "0000000000000000000000000000000100000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000010000000000000000", "0000000000000000000000000000000010000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000100000000000000", "0000000000000000000000000000000001000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000001000000000000", "0000000000000000000000000000000000100000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000001000000000", "0000000000000000000000000000000000000000000000000000000000000010000000", "0000000000000000000000000000000000000000000000000000000000000001000000", "0000000000000000000000000000000000000000000000000000000000000000010000", "0000000000000000000000000000000000000000000000000000000000000000001000", "0000000000000000000000000000000000000000000000000000000000000000000010", "0000000000000000000000000000000000000000000000000000000000000000000001", "1013004321221411420403433103244011211233124012423323000434230103103244", "3201233131313043443431142323414230420301430024113132103402220441023023", "3144203443102341343300441243410213313410431220343040133031021242220231", "0000000000000000000000000000000000000000010000000000000000000000000000", "0011003222020001333313111133243304211342240011144343011224210344004102", "0000000000000000000000000000000000000000001000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000100000", "0000000000000000000000000000000000000000000000000000100000000000000000", "0000000000000000000000000000000000000000000010000000000000000000000000", "0404241024200200022000400042000004000000000004400000000000000000000400", "4040422410022002000002200004400040000004000000000000004400000000000000", "0000000000000000000000000000000000000000000000100000000000000000000000", "0344243102132002231214241244230331013400324302440323114330430124302230"]); G:=MatrixGroup<70,F|x,y>; print "Group G is J2 < GL(70,GF(5))";