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tex4ht problems with footnotes

I am preparing a document using XeLaTeX, unicode-math and Asana Math OTF (turned on by \setmathfont{Asana-Math.otf}). I've noticed that subscripts are located very low (and superscripts very high). I'd like to change this behavior. I know (e.g., from this answer) that \fontdimens might be the way to go; however, I have no experience with them (even in vanilla (e)TeX, not to mention XeTeX). So my question is: how to do it? In particular, how to set \fontdimenss of a given font in Xe(La)TeX, and what values would you recommend for Asana?

mbork
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