2.68260  &    3.45522  &    1.58209  & 0.74488  & 16.50932  \\
  2  &    0.73295  &    2.72858  &    3.31411  &    1.32528  & 0.44129  & 15.99849  \\
  3  &    0.83372  &    2.82894  &    3.18320  &    1.18836  & 0.26423  & 15.48766  \\
  4  &    0.89777  &    2.89557  &    3.10812  &    1.11040  & 0.15845  & 14.97684  \\
  5  &    0.93773  &    2.93684  &    3.06435  &    1.06526  & 0.09505  & 14.46601  \\
 10  &    0.99505  &    2.99505  &    3.00496  &    1.00497  & 0.00739  & 11.91189  \\
 15  &    0.99961  &    2.99962  &    3.00039  &    1.00039  & 0.00057  & 9.35784  \\
 20  &    0.99997  &    2.99997  &    3.00003  &    1.00003  & 0.00004  & 6.80474
\end{array}$$

We give one more table, this time beginning with a metric which moves away from the limiting metric after the first application of the operator $T.$ We choose the palindromic $$    G= (1,\ 6000,\ 150000,\ 20000000000,\ 150000,\ 6000,\ 1),$$ with $k=6.$ Each iterate will be of the form $(a_0, a_1, a_2, a_3, a_2, a_1, a_0),$ so we only keep track of $a_0,a_1, a_2, a_3.$ Again we uniformly scale so the limiting metric is exactly $B = (1, 6, 15, 20, 15, 6, 1).$ $$\begin{array}{c|cccc|c|c}
r &  a_0 & a_1   &  a_2     &  