My previous writeup of the L18 result at<p><a href="https:&#x2F;&#x2F;web.archive.org&#x2F;web&#x2F;20150310085851&#x2F;http:&#x2F;&#x2F;tromp.github.io&#x2F;go&#x2F;legal.html" rel="nofollow">https:&#x2F;&#x2F;web.archive.org&#x2F;web&#x2F;20150310085851&#x2F;http:&#x2F;&#x2F;tromp.gith...</a><p>answers your question:
&quot;only L2, L3, L7 and L10 can be represented as legal positions themselves&quot;, graced with a picture of L10.
L2=57 is 2010 in ternary, which looks like<p><pre><code>    O .
    X .</code></pre>