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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL11n411%2FKauffman_Polynomial</id>
	<title>Data:L11n411/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%3AL11n411%2FKauffman_Polynomial"/>
	<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n411/Kauffman_Polynomial&amp;action=history"/>
	<updated>2026-07-15T10:46:34Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:L11n411/Kauffman_Polynomial&amp;diff=1715668&amp;oldid=prev</id>
		<title>ScottDataRobot at 20:45, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n411/Kauffman_Polynomial&amp;diff=1715668&amp;oldid=prev"/>
		<updated>2013-02-20T20:45:15Z</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 16:45, 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z^7 &lt;/del&gt;a^{15}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/del&gt; z^5 a^{15}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/del&gt; z^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/del&gt; a^{15}-4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^{15}+a^{15} z^{-1} +2 z^8 a^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-11&lt;/del&gt; z^6 a^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+15&lt;/del&gt; z^4 a^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-8&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^{14}&lt;/del&gt;-a^{14} z^{-2} +3 a^{14}+z^9 a^{13}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/del&gt; z^7 a^{13}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/del&gt; z^5 a^{13}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+30&lt;/del&gt; z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^{13}&lt;/del&gt;-21&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^{13}+5 a^{13} z^{-1} +4 z^8 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-26&lt;/del&gt; z^6 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+47&lt;/del&gt; z^4 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-35&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^{12}&lt;/del&gt;-4 a^{12} z^{-2} +16 a^{12}+z^9 a^{11}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/del&gt; z^7 a^{11}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-20&lt;/del&gt; z^5 a^{11}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+54&lt;/del&gt; z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^{11}&lt;/del&gt;-39&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^{11}+9 a^{11} z^{-1} +3 z^8 a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-21&lt;/del&gt; z^6 a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+44&lt;/del&gt; z^4 a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-43&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^{10}&lt;/del&gt;-5 a^{10} z^{-2} +21 a^{10}+3 z^7 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-19&lt;/del&gt; z^5 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+32&lt;/del&gt; z^3 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-22&lt;/del&gt; z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^9&lt;/del&gt;+5 a^9 z^{-1} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z&lt;/del&gt;^8 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a&lt;/del&gt;^8-5 z^6 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/del&gt; z^4 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^8&lt;/del&gt;-2 a^8 z^{-2} +7 a^8+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z&lt;/del&gt;^7 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a&lt;/del&gt;^7-4 z^5 a^7&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^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7+&lt;/del&gt;z^6 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/del&gt; z^4 a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6+&lt;/del&gt;6 z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^6&lt;/del&gt;-2 a^6&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^{15} z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7-&lt;/ins&gt;5 a^{15} z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5+6&lt;/ins&gt; a^{15}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z^3&lt;/ins&gt;-4 a^{15}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;+a^{15} z^{-1} +2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^{14}&lt;/ins&gt; z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-11&lt;/ins&gt; a^{14} z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+15&lt;/ins&gt; a^{14} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-8&lt;/ins&gt; a^{14} z^2-a^{14} z^{-2} +3 a^{14}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^{13} &lt;/ins&gt;z^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/ins&gt; a^{13} z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/ins&gt; a^{13} z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+30&lt;/ins&gt; a^{13} z^3-21 a^{13}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;+5 a^{13} z^{-1} +4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^{12}&lt;/ins&gt; z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-26&lt;/ins&gt; a^{12} z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+47&lt;/ins&gt; a^{12} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-35&lt;/ins&gt; a^{12} z^2-4 a^{12} z^{-2} +16 a^{12}+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^{11} &lt;/ins&gt;z^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/ins&gt; a^{11} z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-20&lt;/ins&gt; a^{11} z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+54&lt;/ins&gt; a^{11} z^3-39 a^{11}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;+9 a^{11} z^{-1} +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;-21&lt;/ins&gt; a^{10} z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+44&lt;/ins&gt; a^{10} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-43&lt;/ins&gt; a^{10} z^2-5 a^{10} z^{-2} +21 a^{10}+3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^9&lt;/ins&gt; z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-19&lt;/ins&gt; a^9 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+32&lt;/ins&gt; a^9 z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-22&lt;/ins&gt; a^9 z+5 a^9 z^{-1} +&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a&lt;/ins&gt;^8 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z&lt;/ins&gt;^8-5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^8&lt;/ins&gt; z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/ins&gt; a^8 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/ins&gt; a^8 z^2-2 a^8 z^{-2} +7 a^8+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a&lt;/ins&gt;^7 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z&lt;/ins&gt;^7-4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^7&lt;/ins&gt; z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/ins&gt; a^7 z^3&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;6 &lt;/ins&gt;z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/ins&gt; a^6 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/ins&gt; a^6 z^2-2 a^6&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:L11n411/Kauffman_Polynomial&amp;diff=93429&amp;oldid=prev</id>
		<title>ScottDataRobot at 05:16, 27 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n411/Kauffman_Polynomial&amp;diff=93429&amp;oldid=prev"/>
		<updated>2005-08-27T05:16:56Z</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^7 a^{15}-5 z^5 a^{15}+6 z^3 a^{15}-4 z a^{15}+a^{15} z^{-1} +2 z^8 a^{14}-11 z^6 a^{14}+15 z^4 a^{14}-8 z^2 a^{14}-a^{14} z^{-2} +3 a^{14}+z^9 a^{13}-3 z^7 a^{13}-10 z^5 a^{13}+30 z^3 a^{13}-21 z a^{13}+5 a^{13} z^{-1} +4 z^8 a^{12}-26 z^6 a^{12}+47 z^4 a^{12}-35 z^2 a^{12}-4 a^{12} z^{-2} +16 a^{12}+z^9 a^{11}-2 z^7 a^{11}-20 z^5 a^{11}+54 z^3 a^{11}-39 z a^{11}+9 a^{11} z^{-1} +3 z^8 a^{10}-21 z^6 a^{10}+44 z^4 a^{10}-43 z^2 a^{10}-5 a^{10} z^{-2} +21 a^{10}+3 z^7 a^9-19 z^5 a^9+32 z^3 a^9-22 z a^9+5 a^9 z^{-1} +z^8 a^8-5 z^6 a^8+7 z^4 a^8-10 z^2 a^8-2 a^8 z^{-2} +7 a^8+z^7 a^7-4 z^5 a^7+2 z^3 a^7+z^6 a^6-5 z^4 a^6+6 z^2 a^6-2 a^6&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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