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maybe was there some empty space under the sandbags below the curved part of the mast?
yes, exactly. Here is a picture that shows how we set it up. You can see that the mast is bowed downward, which is the opposite bend (it was upwardly convex), and the amount of the bend we are applying at the moment this photo was made is a little more in the opposite direction of what we were trying to fix - maybe by a couple inches.

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by how much should I, in case, bend the mast backwards? I would like to avoid ending up with a snake-like shape...
We did this very slowly. We would pressure it for a minute or so then release and look. We started out with a little bend and as it had no apparent effect we would do a little farther. We were worried about creating an s-curve, too, so we would just flex it, release it and eyeball down the luff track, then repeat. I think having a longish board on top to cause a wider flex point helped. Also we adjusted the distance between the sandbags to change how sharp the curve was. Bit by bit feeling our way along is all I can say. It was hard to tell exactly where the inflection point was as it moved along the mast. There are a surprising number of engineers on here - maybe they can make the process more scientific?
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My new question: I am worried that the extrusion may collapse under the jack's load. How did you avoid collapse of the elliptical shape? Just applied delicate and incremental pressure?
By collapse do you mean dent or shear? That's what the long 2x4 board on top of the mast is for - to spread the load and keep it from being a point load. It flexes too, but not as much as the mast. And yes, we'd apply pressure then eyeball it over and over. We didn't want to over-correct anywhere and the only way I could think was just to try to do a little at a time. In all it only took us an hour or so.
Note the sandbags at the left side of the mast are well down-mast from the joint with the composite tip. My question for others is - if I think I have a slight bend in my comp tip, how would you straighten that? It's a fiberglass tube right?