I have 3 starbases near ascension crystals, and the tooltip for each looks like this:

Each starbase has the Precursor Studies Center (and by the way, all the improvements in this line have "Full Description Goes Here" for a description).  If I believe the tooltip, I should be getting 4 points from each of 3 starbases, for a total of 12 per turn.  However, when I look at the victory window, I see my ascension points increasing by 24 per turn.  So either the points are increasing too fast, or the tooltip is wrong.

I have a saved game if any developer needs it.

Edit: After submitting this post, I did another turn and the count went up by 36, not 24 (as it had for the previous 4 turns).  So there's something wrong here.

Edit #2: It looks like what the game counts as a turn is not what I think of as a turn.  I have multiple ships with movement points available.  I just moved one of them (a constructor) onto a starbase, then upgraded the starbase.  The victory window ascension point count went up by 12 just from doing that.  I had thought that a "turn" was after I took care of all planet upgrades, shipyard build selections, and moved all my ships.  It seems the game counts multiple turns in that sequence.