CKM Rules V

Recall that the neutrino tribimaximal mixing matrix is most easily expressed in the form $F_3 F_2$, the product of two quantum Fourier operators. One wonders whether or not the other Combescure MUB operators can be combined to give us some information about the CKM matrix. For example, we have that Observe that the absolute value of this matrix takes the form where all entries are real, and the square of this absolute value looks like The cube finally takes a form reminiscent of the CKM, with all entries possibly distinct. In this example, the values of $a$, $b$ and $x$ are given by $\sqrt{2 + \sqrt{3}}$, $\sqrt{2 - \sqrt{3}}$ and $\sqrt{2}$.