Suppose we have the following polynomial with integer coefficients.

Now consider polytabloids, these are formal linear combinations of Young tabloids, with integer coefficients.

It is given by the unique positive real root of a polynomial of degree 71 with integer coefficients.

The polynomial Φ has integer coefficients, and hence is defined over every field.

Thus, an affine chain takes the symbolic form of a sum with integer coefficients.

From integer coefficients to coefficients in a prime field with p elements, for a well chosen p.

These are equations with integer coefficients, and the goal is to find integer solutions.

Algebraic numbers are those that can be expressed as the solution to a polynomial equation with integer coefficients.

The process of how to find these integer coefficients is described below.

There are 501 degree-8 polynomials with integer coefficients, all of whose roots are in the unit disk.