Lattice attack

Anyone know how to locate the nonce bit in lattice operations? I'm looking to work with the lattice-attack repo on GitHub, but I'm kinda stuck on how to populate the data.json file with my initial data. Can someone walk me through the steps?

I was reading about the lattice attack few weeks back and I laid my eyes on some file that helped.. this will help understand it better:- https://eu.docworkspace.com/d/sIBTYnLiZAc72lrAG

So...  IF i have a matching R on "the lattice" (not any formula in here) against the signature is that enough to say its valid?   It does display a key but im trying to confirm the results before i bother converting it. It seems the lattice doesnt like adding in the publickey into the formula and fails on add and inverse functions..    was attempting cross validation but after tending to a dozen flags i dont think that option will work lol That all being said, i did it to 2 sigs and they both came back with a matching R ... then went to test on something else which failed... so that proofs it half way i guess.. Just want to know if the R matching is enough or if there is another method to confirm the result... ??