In the second pic, the "n" values that have a dash - before them are ones that don't follow the simple Pythagorean triplet numbers listed in A001844. They have a complex pattern of modulus that I couldn't find (yet). I'll go to the next column so I can make sense of any of this.
I'm trying, but I don't want to hinder your current work so your priority should be on your current level.
First pic is quite obvious, the numbers {x,y} denote the occurrence modulus of the "t". Second pic has 3 columns: (n,c) which is "n", triplets associated with said "n" pythagorean number, and the previously defined {x,y}. range and other values aren't very important but just to roughly help me arrange pairs of numbers if the "n" happens to have more than one pattern.