If we assume a toon from Account A is always in Slot 1.
And a toon from Account B is always in Slot 2.
Etc.

Then you can just give the same set of FTL modifiers to every toon in Slot 1.

The whole point is for the modifiers to be different from others in the same character set.
The easiest is for slot 1 to be synonymous with account 1, and slot 2 with account 2 etc.

That way, you can mix and match down the road.
Taking any toon from account 1, putting them in slot 1.
Etc..
And end up with whatever combination you want, but everyone has unique modifiers.