e.</p>
<ul>
<li><p><strong>Dim</strong>: [<span class="math notranslate nohighlight">\(N\)</span>]</p></li>
</ul>
</li>
<li><p><code class="code docutils literal notranslate"><span class="pre">k_id_list</span></code> - The <span class="math notranslate nohighlight">\(\mathbf{k}\)</span> index of each state, i.e., <span class="math notranslate nohighlight">\(i\)</span> if the <span class="math notranslate nohighlight">\(\mathbf{k}\)</span> vectors are indexed by <span class="math notranslate nohighlight">\(i