2023-05-03 22:23:28 -07:00

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\section{Table of Prime Knots}
This table contains the 15 smallest prime knots, ordered by crossing number. \par
Mirror images are not accounted for, even if the mirror image produces a nonisomorphic knot.
\vspace{5mm}
% Images are from the appendix of the Knot book.
\vfill
{
\def\w{25mm}
\foreach \l/\c/\r in {%
{3_1}/{4_1}/{5_1},%
{5_2}/{6_1}/{6_2},%
{6_3}/{7_1}/{7_2},%
{7_3}/{7_4}/{7_5},%
{7_6}/{7_7}/{8_1}%
}{
\hfill
\begin{minipage}{\w}
\begin{center}
\includegraphics[width=\linewidth]{knot table/\l.png} \par
\vspace{2mm}
{\huge $\l$}
\end{center}
\end{minipage}
\hfill
\begin{minipage}{\w}
\begin{center}
\includegraphics[width=\linewidth]{knot table/\c.png} \par
\vspace{2mm}
{\huge $\c$}
\end{center}
\end{minipage}
\hfill
\begin{minipage}{\w}
\begin{center}
\includegraphics[width=\linewidth]{knot table/\r.png} \par
\vspace{2mm}
{\huge $\r$}
\end{center}
\end{minipage}
\hfill~\par
\vspace{4mm}
}
}
\vfill
\pagebreak