I attemtped to do something similar with the CKM matrix for my undergraduate thesis. Didn't really work, but it was fun.
The CKM matrix is annoyingly almost symmetric, the off diagonal elements are almost the same magnitude. But they're not, so bah! Basically you spend a lot of time trying to come up with simple first order relations for the various quantities. Ideally you should be able to eliminate fundamental constants by writing them in terms of one another.
https://en.wikipedia.org/wiki/Tribimaximal_mixing
I attemtped to do something similar with the CKM matrix for my undergraduate thesis. Didn't really work, but it was fun.
The CKM matrix is annoyingly almost symmetric, the off diagonal elements are almost the same magnitude. But they're not, so bah! Basically you spend a lot of time trying to come up with simple first order relations for the various quantities. Ideally you should be able to eliminate fundamental constants by writing them in terms of one another.