More writing.

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diff --git a/stokes.tex b/stokes.tex
index 41878b7..d07ec6a 100644
--- a/stokes.tex
+++ b/stokes.tex
@@ -271,6 +271,18 @@ The critical points of the 2-spin model are all adjacent: no critical point is s
 
 \section{(2 + 4)-spin}
 
+\section{Numerics}
+
+To confirm the presence of Stokes lines under certain processes in the $p$-spin, we studied the problem numerically.
+\begin{equation}
+  \mathcal L(z(t), z'(t))
+  = 1-\frac{\operatorname{Re}(\dot z^*_iz'_i)}{|\dot z||z'|}
+\end{equation}
+\begin{equation}
+  \mathcal C[\mathcal L]=\int dt\,\mathcal L(z(t), z'(t))
+\end{equation}
+$\mathcal C$ has minimum of zero, which is reached only by functions $z(t)$ whose tangent is everywhere parallel to the direction of the dynamics. Therefore, finding functions which reach this minimum will find time-reparameterized Stokes lines. For the sake of numeric stability, we look for functions whose tangent has constant norm.
+
 \begin{acknowledgments}
   MIT mathematicians have been no help
 \end{acknowledgments}