From 5be4f14f3a8f6aba3123379200607eac56010ccb Mon Sep 17 00:00:00 2001
From: Luke Naylor <l.naylor@sms.ed.ac.uk>
Date: Tue, 25 Jul 2023 21:54:24 +0100
Subject: [PATCH] Use imports from notebook pt4

---
 main.tex | 8 +++++---
 1 file changed, 5 insertions(+), 3 deletions(-)

diff --git a/main.tex b/main.tex
index bfacfee..9b26926 100644
--- a/main.tex
+++ b/main.tex
@@ -1417,11 +1417,13 @@ As mentioned in the introduction (sec \ref{sec:intro}), the finiteness of these
 solutions is entirely determined by whether $\beta$ is rational or irrational.
 Some of the details around the associated numerics are explored next.
 
+\begin{sagesilent}
+from plots_and_expressions import typical_bounds_on_d
+\end{sagesilent}
+
 \begin{figure}
 \centering
-\sageplot[
-	width=\linewidth
-]{plot_d_bound(v_example, 2, ymax=4, ymin=-2, aspect_ratio=1)}
+\sageplot[width=\linewidth]{typical_bounds_on_d}
 \caption{
 	Bounds on $d\coloneqq\chern_2(E)$ in terms of $r\coloneqq \chern_0(E)$ for a fixed
 	value $\chern_1^{\beta}(F)/2$ of $q\coloneqq\chern_1^{\beta}(E)$.
-- 
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