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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL11n10%2FKauffman_Polynomial</id>
	<title>Data:L11n10/Kauffman Polynomial - Revision history</title>
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	<updated>2026-06-05T02:26:36Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.39.6</generator>
	<entry>
		<id>https://katlas.org/index.php?title=Data:L11n10/Kauffman_Polynomial&amp;diff=1716543&amp;oldid=prev</id>
		<title>ScottDataRobot at 21:03, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n10/Kauffman_Polynomial&amp;diff=1716543&amp;oldid=prev"/>
		<updated>2013-02-20T21:03:41Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&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 17:03, 20 February 2013&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^{16}+a^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;16&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/del&gt; z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^{15}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+z&lt;/del&gt; a^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;15&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^6 a^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/del&gt; z^4 a^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/del&gt; z^2 a^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/del&gt; z^7 a^{13}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/del&gt; z^5 a^{13}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-8&lt;/del&gt; z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^{13}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+z&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^{13}+&lt;/del&gt;a^{13} z^{-1} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;2 z^8 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+8&lt;/del&gt; z^6 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-11&lt;/del&gt; z^4 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+8&lt;/del&gt; z^2 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3 &lt;/del&gt;a^{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^9 a^{11}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/del&gt; z^7 a^{11}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/del&gt; z^5 a^{11}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/del&gt; z^3 a^{11}&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; a^{11}+&lt;/del&gt;a^{11} z^{-1} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;3 z^8 a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13&lt;/del&gt; z^6 a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-15&lt;/del&gt; z^4 a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{10}-&lt;/del&gt;z^9 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/del&gt; z^7 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/del&gt; z^5 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/del&gt; z^3 a^9&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; a^9-&lt;/del&gt;2 a^9 z^{-1} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^8 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/del&gt; z^6 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/del&gt; z^4 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/del&gt; z^2 a^8+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3 &lt;/del&gt;a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8-&lt;/del&gt;z^7 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/del&gt; z^5 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-11&lt;/del&gt; z^3 a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7+&lt;/del&gt;7 z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^7-&lt;/del&gt;2 a^7 z^{-1} &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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^{16} &lt;/ins&gt;z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;a^{16}+&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;15&lt;/ins&gt;} z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;a^{15} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z+&lt;/ins&gt;a^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/ins&gt; a^{14} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/ins&gt; a^{14} z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+&lt;/ins&gt;2 a^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;13&lt;/ins&gt;} z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7-&lt;/ins&gt;7 a^{13} z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+8&lt;/ins&gt; a^{13} z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;a^{13} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z-&lt;/ins&gt;a^{13} z^{-1} &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; a^{12}&lt;/ins&gt; z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8-&lt;/ins&gt;8 a^{12} z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+11&lt;/ins&gt; a^{12} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-8&lt;/ins&gt; a^{12} z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/ins&gt; a^{12}&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;11&lt;/ins&gt;}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;z^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/ins&gt; a^{11} z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/ins&gt; a^{11} z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/ins&gt; a^{11} z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/ins&gt; a^{11} z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;a^{11} z^{-1} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^{10}&lt;/ins&gt; z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-13&lt;/ins&gt; a^{10} z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+15&lt;/ins&gt; a^{10} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-6&lt;/ins&gt; a^{10} z^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;9 &lt;/ins&gt;z^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^9 z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/ins&gt; a^9 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/ins&gt; a^9 z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/ins&gt; a^9 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;2 a^9 z^{-1} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+a^8 &lt;/ins&gt;z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^8 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/ins&gt; a^8 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4+&lt;/ins&gt;4 a^8 z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/ins&gt; a^8+a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7 &lt;/ins&gt;z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-6&lt;/ins&gt; a^7 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+11&lt;/ins&gt; a^7 z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/ins&gt; a^7 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;2 a^7 z^{-1} &amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Data:L11n10/Kauffman_Polynomial&amp;diff=81889&amp;oldid=prev</id>
		<title>ScottDataRobot at 19:35, 26 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n10/Kauffman_Polynomial&amp;diff=81889&amp;oldid=prev"/>
		<updated>2005-08-26T19:35:46Z</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;-z^2 a^{16}+a^{16}-2 z^3 a^{15}+z a^{15}-z^6 a^{14}+2 z^4 a^{14}-3 z^2 a^{14}-2 z^7 a^{13}+7 z^5 a^{13}-8 z^3 a^{13}+z a^{13}+a^{13} z^{-1} -2 z^8 a^{12}+8 z^6 a^{12}-11 z^4 a^{12}+8 z^2 a^{12}-3 a^{12}-z^9 a^{11}+3 z^7 a^{11}-2 z^5 a^{11}+3 z^3 a^{11}-2 z a^{11}+a^{11} z^{-1} -3 z^8 a^{10}+13 z^6 a^{10}-15 z^4 a^{10}+6 z^2 a^{10}-z^9 a^9+4 z^7 a^9-3 z^5 a^9-2 z^3 a^9+5 z a^9-2 a^9 z^{-1} -z^8 a^8+4 z^6 a^8-2 z^4 a^8-4 z^2 a^8+3 a^8-z^7 a^7+6 z^5 a^7-11 z^3 a^7+7 z a^7-2 a^7 z^{-1} &amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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