I'd love some more thoughts on this. I suppose there might.
I looked at t=1 for all e's one can create from c (when you change d) and just saw the repeated underlying square pattern that exists (for all factors) that I posted about in thread 15. I haven't made much headway from it, but I do think it is interesting.
It shows how numbers move across e's in a square pattern (I think the square was equal to the square of the factor?), but on the diagonal.