Convention for \lambda_{SW} about loom HOT 2 OPEN

Let me leave one comment for the convenience when we revisit this issue later; regarding the f(z), one part of it will be the PSL2C transformation, the other part will be the z-plane rotation for the trivialization. I think we want to save the values of \lambda with PSL2C applied but not the z-plane rotation. Unfortunately, the current status is that both PSL2C and the z-plane rotation are haphazardly treated throughout the code, probably my bad. :(

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A quick update: we need to revisit the current handling of PSL2C transformatoin throughout the study of the cover and seeding of S-walls.
After some testing, there seem to be issues with seeding when a nontrivial PSL2C transformation is applied. No problem detected with rotations alone.

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