[morzh]

...and this is what I did. I fed a little LT into the screwholes with a small brush, and a little on the rim next to the same holes, and the Exacto did the rest.
Surprisingly, not much damage at all.
However when I applied LT to the pole, to lift the spider, the latter left the piece of it (and I was not rough at all) on the pole. I saved it.

This is the washer on top of the spider.
   

The piece of spider stuck to the pole. I mean the black piece in the center, not the actual spider in the gap.
   

After it is removed:
   

The basket. You could see a little piece of the cone stuck to a hole.
   

Then off the basket went back to the vise, and after a while, when I realized I need to stick the rim under my armpit (it did not complain) to counter the down force which rotated it in thr vise, the nut gave up.

The pole
   

The coil
   


Now what do I do? I doubt I will rewind the coil myself.
It is a pound and a half of copper.