Stable quadratic polynomials over $\mathbb{Q}(i)$

We study iterates of a quadratic $f= x^2+1/c\in K[x]$. If the number of factors of $f^n:=f\circ f \circ ... \circ f$ is bounded by a constant independent of $n$, then $f$ is said to be \emph{eventually stable}. This paper is an extension to $\mathbb{Q}(i)$ of the paper \cite{evstb}, which considered