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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL9n24%2FKauffman_Polynomial</id>
	<title>Data:L9n24/Kauffman Polynomial - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL9n24%2FKauffman_Polynomial"/>
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	<updated>2026-04-03T19:49:10Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:L9n24/Kauffman_Polynomial&amp;diff=1717150&amp;oldid=prev</id>
		<title>ScottDataRobot at 21:16, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L9n24/Kauffman_Polynomial&amp;diff=1717150&amp;oldid=prev"/>
		<updated>2013-02-20T21:16:32Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:16, 20 February 2013&lt;/td&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;a^3 z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/del&gt;+a z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^7&lt;/del&gt;+2 a^4 z^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/del&gt;+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/del&gt;+a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt;-a^3 z^5-a z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt;+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z^5&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-1}&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt;-14 a^2 z^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7 z^4-3&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-4 a^&lt;/del&gt;3 z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-&lt;/del&gt;2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a z^3-z^3&lt;/del&gt; a^{-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&lt;/del&gt;} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6 &lt;/del&gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; z^2+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;17&lt;/del&gt; a^2 z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z&lt;/del&gt;^2 a^{-2} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+&lt;/del&gt;a&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^5&lt;/del&gt; z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3 a&lt;/del&gt;^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3 z+&lt;/del&gt;5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a z&lt;/del&gt;+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3 &lt;/del&gt;z a^{-1} -2 a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8&lt;/del&gt; a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&gt; a^{-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt;} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/del&gt;-2 a z^{-1} -2 a^{-1} z^{-1} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^&lt;/del&gt;2 z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2}&lt;/del&gt; +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^{-2}&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/del&gt;2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;} &lt;/del&gt;+2 z^{-2} &amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5 z^5-&lt;/ins&gt;3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^5&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;+a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^5&lt;/ins&gt; z+2 a^4 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6 a^4&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2-2 a^4&lt;/ins&gt;+a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/ins&gt;-a^3 z^5-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4 &lt;/ins&gt;a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^3&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z+4&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt;-14 a^2 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+17&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+&lt;/ins&gt;3 z^2 a^{-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt;} +a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;} &lt;/ins&gt;+ a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{-&lt;/ins&gt;2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-8 a&lt;/ins&gt;^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^{-2} +&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7-&lt;/ins&gt;a z^5+z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^5&lt;/ins&gt; a^{-1} -2 a&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z^3&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1} +5 a z+3 z&lt;/ins&gt; a^{-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&lt;/ins&gt;} -2 a z^{-1} -2 a^{-1} z^{-1} +2 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z^4&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/ins&gt; z^2+2 z^{-2} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/ins&gt;&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
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		<author><name>ScottDataRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Data:L9n24/Kauffman_Polynomial&amp;diff=70567&amp;oldid=prev</id>
		<title>ScottDataRobot at 09:51, 26 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L9n24/Kauffman_Polynomial&amp;diff=70567&amp;oldid=prev"/>
		<updated>2005-08-26T09:51:04Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;math&amp;gt;a^3 z^7+a z^7+2 a^4 z^6+4 a^2 z^6+2 z^6+a^5 z^5-a^3 z^5-a z^5+z^5 a^{-1} -7 a^4 z^4-14 a^2 z^4-7 z^4-3 a^5 z^3-4 a^3 z^3-2 a z^3-z^3 a^{-1} +6 a^4 z^2+17 a^2 z^2+3 z^2 a^{-2} +14 z^2+a^5 z+3 a^3 z+5 a z+3 z a^{-1} -2 a^4-8 a^2-4 a^{-2} -9-2 a z^{-1} -2 a^{-1} z^{-1} +a^2 z^{-2} + a^{-2} z^{-2} +2 z^{-2} &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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