I ran into an interesting effect with regards to military/interstellar relays. I have two systems both with a planet with Interstellar Relays and the rest having Military Relays. They all have High Commands. The primary planet with extreme heat has a cryoarithmetic engine and Alpha AI cores installed which (usually) provides the high percentage enhancement basis for the fleets. Then, on a lark, I installed an Alpha Core in the High Command of another planet that had a Military Relay but was using the bonus from the primary planet to gets its fleet score. This increased the fleet power beyond the typical enhancement by a multiple of about 25%. I checked back with the primary world and saw that it had increased in turn. I chuckled, uninstalled the AI, and lost only a couple percent.
Ohhhhh dear. That's a fair bit more broken than I was expecting.
I installed the Alpha AI again. It jumped again. I uninstalled, then checked back. Down only a couple percent, but checking around the command menu no planet could agree on who was giving out the bonus. Planet A thought Planet C was doing it, Planet C thought Planet F was, Planet F thought planet B was, etc. etc. etc. I made a backup of the save, saved, exited to the main menu, reloaded. The bonus recalculated correctly on load.
Anyway, yeah. I thought this probably ought to be reported.