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Sheldon Brown's Bottom Bracket Size Guide suggests that for Shimano 7400/01/02 cranks, the 112/113mm BBs have axles that are 3mm longer on the right hand side.
https://www.sheldonbrown.com/bbsize.html#dura
I only know this because I was looking for what size I needed.
I thought it was the other way around; symmetrical up to a point, above which the drive side gets longer than the non-drive side. I think up to 118mm are symmetrical.