***** Original Matrix *****

         1.00        2.00      300.00        4.00        5.00
         2.00        3.00      400.00        5.00        6.00
         3.00        4.00        5.00        6.00        7.00
         4.00        5.00      600.00        7.00        8.00
         5.00        6.00      700.00        8.00        9.00

 ***** Balance Matrix *****

         1.00        2.00       37.50        4.00        5.00
         2.00        3.00       50.00        5.00        6.00
        24.00       32.00        5.00       48.00       56.00
         4.00        5.00       75.00        7.00        8.00
         5.00        6.00       87.50        8.00        9.00

 ***** Reduce to Hessenberg Form *****

   0.1000E+01  0.3938E+02  0.9618E+01  0.3333E+01  0.4000E+01
   0.2400E+02  0.2733E+02  0.1161E+03  0.4800E+02  0.4800E+02
   0.0000E+00  0.8551E+02 -0.4780E+01 -0.1333E+01 -0.2000E+01
   0.0000E+00  0.0000E+00  0.5188E+01  0.1447E+01  0.2171E+01
   0.0000E+00  0.0000E+00  0.0000E+00  0.6954E-07  0.4768E-06