How do I recover my registration code for a computer game?

I purchased Spore for my PC and instaled it on my desktop, and a few months later my computer died from over heating. I lost the book for my game and want to put it on my laptop; How do I use it.How do I recover my registration code for a computer game?
You don't need a registration code, i just installed it without it. The only thing you might need to register is the EA download manager thing, you can just exit off of it when it asks you to link an account