How do I write this table in LaTeX?

Question

I want to construct the table from page 8 from this article:

I tried this

\begin{table}[h!]
\centering
$\begin{array}{@{}c|cccc@{}}
\textbf{w^2}-xz & -x & y & 0 & -z & 0 & -z^2+wz \\
 \textbf{wx}-yz & \textbf{w} & -x & -y & 0 & z & z^2 \\
\textbf{x^2}-wy & -z & \textbf{w} & 0 & -y & 0 & 0 \\
\textbf{xy}-z^2 & 0 & 0 & \textbf{w} & \textbf{x} & -y & yz \\
\textbf{y^2}-wz & 0 & 0 & -z & -w & \textbf{x} \textbf{w^2} \\ \hline
    & 0 &  y & -x & textbf{w} & -z & 1 \\
    & -y^2+wz & z^2 & -wy  & yz & -w^2 & \textbf{x}\\
\end{array}$
\label{tab:table1}
\end{table}\\

but it doesn't work.

Answer 1

There are some errors in the code of the question:

• Two columns are missing in the column specification of array.
• textbf without backslash
• Missing & at the end of the fifth row.
• Bold in math for letters are done with \mathbf.
• Exponents are usually not made bold.
• \\ after \end{table} is bad style, since table is usually a floating object, where \\ does not make any sense, if the object before is floated away.

Full example:

\documentclass{article}
\begin{document}
\begin{table}
  \centering
  $\begin{array}{c|cccccc}
    \mathbf{w}^2-xz & -x & y & 0 & -z & 0 & -z^2+wz \\
    \mathbf{wx}-yz & \mathbf{w} & -x & -y & 0 & z & z^2 \\
    \mathbf{x}^2-wy & -z & \mathbf{w} & 0 & -y & 0 & 0 \\
    \mathbf{xy}-z^2 & 0 & 0 & \mathbf{w} & \mathbf{x} & -y & yz \\
    \mathbf{y}^2-wz & 0 & 0 & -z & -w & \mathbf{x} & \mathbf{w}^2 \\ \hline
    & 0 &  y & -x & \mathbf{w} & -z & 1 \\
    & -y^2+wz & z^2 & -wy  & yz & -w^2 & \mathbf{x}\\
  \end{array}$
  \label{tab:table1}
\end{table}
\end{document}