7x7 L2E Categorization

[The Cubing Fanatic]

So I want to try and categorize every 7x7 L2E case. How do I do it? I have never done anything like this before, is there a computer program that would help, or do I have to do it by hand? I would appreciate as many answers to the above questions as is possible.
Thank you for reading!

 

[xyzzy]

Do it systematically.

For example, you could start with the inner wings (i.e. just 5×5×5 L2E): there are 24 ways to arrange them, but if you get rid of the cases that are just a U2 away from each other, that reduces the number of cases to 16. Now, for each of these 16 ways, you list out the 24 ways to arrange the outer wings. This gives you 16×24 = 384 cases to go through. Some of these will be double-counted (listed in one configuration and the configuration that's a U2 off), so get rid of those duplicates too. If I didn't mess up my calculation, that should leave you with 320 cases in total (one of which is the solved case).

Now, the real question is: what exactly is it that you want to do with this list? When you say categorise, what categories do you have in mind?

 

[The Cubing Fanatic]

What I want to do is this:
Create a list of every L2E case, and eventually have a plan, if not an algorithm, for every case.

As for categories, I was thinking something along the lines of:
No-Parity
Single Parity
and Double Parity.

 

[One Wheel]

As for categories, I was thinking something along the lines of:
No-Parity
Single Parity
and Double Parity.

Double Parity is misleading for 7x7. There are really 4 different last-edge parity cases for 7x7:

sssss (no parity)
fsssf
sfsfs (probably what you’re meaning by double parity)
ffsff