Code to calculate tetration using my method

[marracco]

Btw I checked a bit and did a quick change of my code.
I erased p(x) from existence, and replaced it (in the if of tetra) by "n==int(n) and b==0". I also added a "if x==1, Z=(1,0)"

You can check if \(n\) is integer with \(\text{n.is_integer()}\). It works even if \(n\) is a float.

For a complex number

\(c=\text{complex(a,b)}\)

you can check:

\(\text{c.real.is_integer() and c.imag == 0}\)

Unless your calculation is unstable for small values of \(\text{c.imag}\), then may be convenient to check

\(\text{isclose(c.imag, 0)}\)

\(\text{isclose()}\) belongs to \(math\) module from which you imported everything, and allows to set the relative tolerance.