chg: collect results in structures - #15
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We might want to re-use them.
A main reason is that it's useful to be able to recover the tropicalizations. In this commit, we also rename k to a in a few more places (and permute with b).
Also some minor fixes the code concerning cotransversality.
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For many of our functions, there is a lot of expensive auxiliary data (such as tropical linear spaces and stable intersections) that I think would be nice to output along with the bounds. For instance, this auxiliary data is useful for computing tropical homotopies. The auxiliary data also constitutes a certificate that the bounds are correct and is required to reproduce them.
Before, we collected some of this data in tuples, but it was getting a bit confusing and cumbersome to keep track of the ordering. Similarly, it was getting a bit tiresome to write out C, M, L all the time.
This PR introduces a bunch of new Julia structures for augmented vertical systems and the results of our computations.
It is built on top of #14.