diff --git a/main.tex b/main.tex index bfacfee2c43a08d9cf1090373694a1759f85aa26..9b2692681fb86e7c261cc076d9f6398e26aa9cdb 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 $q\coloneqq\chern_1^{\beta}(E)$.