Finding Activation Key Within Start 11

I have purchased 3 copies of Smart 11; they reside on two laptops and 1 desktop.  All three licenses were purchased under one email address.

Recently, I started having a problem with S11 on one of the laptops.  Unable to resolve it, I did an uninstall/reinstall to see if that would help.  Unfortunately, I did not make note of which computer had which activation key (my bad).  When I tried one of the keys on the laptop, I got a message that the key was already in use.  When I proceeded with that key, it disabled S11 on the desktop.  Obviously, I picked the wrong key.   

I have searched for the laptop activation key in t he S11 application, in the registry, and in Saslog.txt to no avail.

My question is: where can I find the key for a particular computer?  It has to be stored somewhere either on my computer or the computer/key  pair is stored somewhere in a Stardock database.  That seems to be the case because the reinstall recognized the key I tried was already in use.

Please help.

--Ernie Parker