M Theory Lesson 259
Carl's parameterization of the CKM matrix $V$ results in a row sum phase with $\theta = -0.27308859$, close to a 23rd root of unity. In other words, the row sum is the complex number $0.96294248 - 0.26970686 i$. The $n$th power of such a complex matrix will have a row sum with $n$ times the angle, $n \theta$.
Observe that the number 0.96294248 is very close to $26/27$. This corresponds to the fact that $2 - 2 \times 0.9629 = 8/9$, which is the real part of a factor in a product form for the CKM matrix. That is, let $V = AB$. Now assume that the row sums for $A = A_1 + i A_2$ and $B = B_1 + i B_2$ are such that $A_1 + A_2 = B_1 + B_2 = 1$, where these numbers may be complex. Then it follows that the real part of $A_1$ equals $8/9$. We should probably check to see how an exact figure of $8/9$ compares with experiment.