I made this post a while ago, and I understand everything now. The problem is that I'm not sure what mathematics software I can use to generate the iterates like the user Amzoti did. His account has been suspended though, so I can't ask him unfortunately.
I've tried doing it manually, but it's too difficult to not make a mistake. I just want software or an online program that can make it easier. Preferably free or cheap.
That is excellent free (both as in free speech and as in free beer) software available that you can use for that purpose. I suggest Maxima or GNU Octave.