The stable matrix (well, almost stable at this point) and its
interpretation:
T^500
(7.24E-104  0.00      0.00      0.00      0.00      0.00      0.00    )
( 4.99E-29  3.57E-29  2.03E-29  1.84E-29  9.16E-30  0.00      0.00    )
( 8.24E-28  5.90E-28  3.35E-28  3.04E-28  1.51E-28  0.00      0.00    )
( 1.74E-27  1.25E-27  7.09E-28  6.43E-28  3.20E-28  0.00      0.00    )
( 3.59E-27  2.57E-27  1.46E-27  1.32E-27  6.60E-28  0.00      0.00    )
( 0.12      0.13      0.13      0.14       7.29E-2   1.0      0.00    )
( 0.88      0.87      0.87      0.86      0.93      0.00       1.0    )
F
(  1.10526      0.000000      0.000000      0.000000     0.000000     )
( 0.428715      1.10252       4.591603E-2   7.348154E-3  9.929937E-4  )
(  1.03850      0.831930      1.49227       0.238815     3.227230E-2  )
( 0.682290      0.878382      0.415254      1.53877      0.207942     )
( 0.560319      0.627212      0.528814      0.748123     1.69569      )