matrix:
        1.00        2.00        0.00        0.00        0.00
       -2.00        3.00        0.00        0.00        0.00
        3.00        4.00       50.00        0.00        0.00
       -4.00        5.00      -60.00        7.00        0.00
       -5.00        6.00      -70.00        8.00       -9.00
eigenvalues:
       real            imag. 
      50.000000       0.000000
       2.000000      -1.732052
       2.000000       1.732052
       6.999999       0.000000
      -9.000000       0.000000