Final Fantasy II — Rare Summon Farming Log

I recently felt the urge to rehook my SNES and play FFII-US (FF4) over the Christmas break. I had previously received the Imp and Bomb summons a few playthroughs ago, but I had a nagging feeling there were more. I decided to check some FAQs on GameFAQs.com and discovered that there was a Mage summon. I tried for several days to no avail, then decided to start keeping a text file of encounters and the number of Mages killed. This tracking actually helped my sanity, and eventually it dropped — along with the Zeus Gauntlet from the Ogres. I killed 218 Mages before the Mage summon dropped, 424 Imps before the Imp summon dropped, and 143 Balloons before the Bomb summon dropped.