the tag on the top of the saw says Stihl 056 AVE super Magnum
Not disputing what you are saying, but I don't think there is any such critter. I have seen some tags on saws that were not original.
A Super would be a 54 mm with a Bosche ignition or maybe points. A Magnum or Magnum II would be a 56 mm with a SEM.
If there is a Super Magnum I have never heard of it. Of course, it wouldn't be the first thing I never heard of I don't suppose.
Just looked and the illustrated parts list only shows three name plates. 056 AV 056 Super AV 056 Magnum II AV
BTW It is pretty common for people to switch the tags on these saws for the sole purpose of sticking unsuspecting buyers.