# Itemize equation with bullets

I am trying to place an equation ''inside'' itemize environment. Basically I would like to avoid using \begin{cases} and just represent the equation by using itemize (one bullet for each case) Moreover I think it might look better if the text after ''if'' would be aligned with one another. Does anyone know how to approach the problem?

$\begin{equation} \begin{cases} \bullet\Bigl\{1,\theta,\frac{\theta^2}{k}\Bigr\}\;\;\text{if}\;\;m^2\not\equiv 1 \pmod 9 \vspace{3mm}\\ \bullet\Bigl\{1,\theta,\frac{k^2\pm k^2 \theta+\theta^2}{3k}\Bigr\}\;\;\text{if}\;\;m\pm \equiv 1 \pmod 9 \end{cases} \end{equation}$


and the output looks like this Thank you

A possible solution is use of array Code

\documentclass{article}
\usepackage{amsmath,amsfonts,amssymb}

\begin{document}
\begin{equation}
\left \{
\begin{array}{lll}
\bullet& \Bigl \{1,\theta,\frac{\theta^2}{k}\Bigr\}\;\;& \text{if}\;\;m^2\not\equiv 1 \pmod 9 \vspace{3mm}\\
\bullet& \Bigl \{1,\theta,\frac{k^2\pm k^2 \theta+\theta^2}{3k}\Bigr\}\;\;& \text{if}\;\;m\pm \equiv 1 \pmod 9
\end{array}
\right .
\end{equation}

\end{document}


You can remove all those \;\; by using ~ Also \Big{ can be replaced \documentclass[12pt,a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\begin{document}
\begin{equation}
\begin{cases}
\bullet \left\{1,\theta,\frac{\theta^2}{k}\right\} & \text{if~} m^2\not\equiv 1 \pmod 9 \vspace{3mm} \\
\bullet \left\{1,\theta,\frac{k^2\pm k^2 \theta+\theta^2}{3k}\right\} & \text{if~} m\pm\equiv 1 \pmod 9
\end{cases}
\end{equation}
\end{document}


If you remove bullets: Here I use a tabular stack (I started with the guts of Jesse's answer). Vertical spacing between equations is adjusted with the optional argument to tabularstackanchor, while horizontal gaps between columns can be set with \setstacktabulargap{length}.

\documentclass{article}
\usepackage{tabstackengine}
\usepackage{amsmath}
\stackMath
\usepackage{scalerel}
\begin{document}
\begin{equation}
\left\{
\tabularstackanchor[6pt]{llll}{
\bullet&\Bigl \{1,\theta,\frac{\theta^2}{k}\Bigr\}& \text{if~}m^2\not\equiv1&\pmod 9
}{
\bullet&\Bigl \{1,\theta,\frac{k^2\pm k^2 \theta+\theta^2}{3k}\Bigr\}&
\text{if~}m\pm\equiv1 &\pmod 9
}
\right.
\end{equation}
\end{document} 