Further we'll always assume that sets Bi (where i is positive integer) are the unions of subsets Ai with
indices i belonging to some set. We' always assume that Ci is a set A\Bi (difference of set A and Bi with
the notation of page part I) and that
Let B3, B4, B5, B6 be the unions of sets Ai (similarly as on the previous pages - part I and part II), where
i is an index satisfying
For the set B3:
The rest of division of i by 8 is
1 or 2 or 3 or 4
For the set B4:
The rest of division of i by 8 is
1 or 3 or 6 or 0
For the set B5:
The rest of division of i by 8 is
1 or 4 or 6 or 7
For the set B6:
The rest of division of i by 8 is
1 or 2 or 7 or 0
Using the same arguments like on the previous pages we derive (see above for definitions of s3, t3, s4..):
Now we can write quadratic equations corresponding to these equalities in the usual way (see previous pages
and pages for values cos(k*pi/257)). We'll not present them now, since it is easy to imagine them given
procedures of previous pages.
Solving these equations we receive
We received four more formulas. We need to have many more.
Software that you really need.