The serial number from your evaluation version is required in order to purchase the registration code for Lotto Sorcerer.
The easiest way to get this serial number is to simply use Lotto Sorcerer's menu item Help > Registration > Purchase License:

This will automatically send you to the web page along with your serial number, so you won't have to type it in.
If you want to type this number in, you can find this 12-digit, all-numeric number in either the Splash (starting) screen of Lotto Sorcerer, or Lotto Sorcerer's About window.