+Listing~\ref{lst:01} shows the second kernel code. As can be seen this
+kernel calls multiple kernels, all the kernals for complex numbers and
+kernels for the evaluation of a polynomial are not detailed.
+
+\begin{footnotesize}
+\lstinputlisting[label=lst:01,caption=Kernels to update the roots]{code.c}
+\end{footnotesize}
+