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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL11n416%2FKauffman_Polynomial</id>
	<title>Data:L11n416/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%3AL11n416%2FKauffman_Polynomial"/>
	<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n416/Kauffman_Polynomial&amp;action=history"/>
	<updated>2026-07-26T19:31:40Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:L11n416/Kauffman_Polynomial&amp;diff=1714385&amp;oldid=prev</id>
		<title>ScottDataRobot at 20:17, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n416/Kauffman_Polynomial&amp;diff=1714385&amp;oldid=prev"/>
		<updated>2013-02-20T20:17:49Z</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 16:17, 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;3 z^&lt;/del&gt;3 a^{11}-5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^{11}+a^{11} z^{-1} +&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z^6 &lt;/del&gt;a^{10}&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;4&lt;/del&gt; a^{10}&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;2&lt;/del&gt; a^{10}-a^{10} z^{-2} +4 a^{10}+4 z^7 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-15&lt;/del&gt; z^5 a^9&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^9&lt;/del&gt;-21&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^9+5 a^9 z^{-1} +4 &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;^8-16 z^6 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+34&lt;/del&gt; z^4 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-32&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^8&lt;/del&gt;-4 a^8 z^{-2} +17 a^8+z^9 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/del&gt; z^7 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-23&lt;/del&gt; z^5 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+43&lt;/del&gt; z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^7&lt;/del&gt;-33&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^7+9 a^7 z^{-1} +6 z^8 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-22&lt;/del&gt; z^6 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+36&lt;/del&gt; z^4 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-36&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^6&lt;/del&gt;-5 a^6 z^{-2} +20 a^6+z^9 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/del&gt; z^7 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-14&lt;/del&gt; z^5 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+19&lt;/del&gt; z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^5&lt;/del&gt;-16&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^5+5 a^5 z^{-1} +2 z^8 a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4-&lt;/del&gt;4 z^6 a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4-&lt;/del&gt;4 z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^4&lt;/del&gt;-2 a^4 z^{-2} +6 a^4+2 z^7 a^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-6&lt;/del&gt; z^5 a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3+&lt;/del&gt;3 z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^3&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;3+&lt;/del&gt;z^6 a^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/del&gt; z^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^2&lt;/del&gt;+5 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z&lt;/del&gt;^2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a&lt;/del&gt;^2-2 a^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;3 a^{11}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z^3&lt;/ins&gt;-5 a^{11}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;+a^{11} z^{-1} +a^{10} z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6+2&lt;/ins&gt; a^{10} z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4-5&lt;/ins&gt; a^{10}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z^2&lt;/ins&gt;-a^{10} z^{-2} +4 a^{10}+4&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;-15&lt;/ins&gt; a^9 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+30&lt;/ins&gt; a^9 z^3-21 a^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;+5 a^9 z^{-1} +4 &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;^8-16&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;+34&lt;/ins&gt; a^8 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-32&lt;/ins&gt; a^8 z^2-4 a^8 z^{-2} +17 a^8+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^7 &lt;/ins&gt;z^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/ins&gt; a^7 z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-23&lt;/ins&gt; a^7 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+43&lt;/ins&gt; a^7 z^3-33 a^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;+9 a^7 z^{-1} +&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6 a^&lt;/ins&gt;6 z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-22&lt;/ins&gt; a^6 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+36&lt;/ins&gt; a^6 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-36&lt;/ins&gt; a^6 z^2-5 a^6 z^{-2} +20 a^6+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^5 &lt;/ins&gt;z^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/ins&gt; a^5 z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-14&lt;/ins&gt; a^5 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+19&lt;/ins&gt; a^5 z^3-16 a^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;+5 a^5 z^{-1} +2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^4&lt;/ins&gt; z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^4 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^4 z^2-2 a^4 z^{-2} +6 a^4+2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^3&lt;/ins&gt; z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-6&lt;/ins&gt; a^3 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/ins&gt; a^3 z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;a^3 &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;2 &lt;/ins&gt;z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^2 z^4+5 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a&lt;/ins&gt;^2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;z&lt;/ins&gt;^2-2 a^2&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
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&lt;/table&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Data:L11n416/Kauffman_Polynomial&amp;diff=93489&amp;oldid=prev</id>
		<title>ScottDataRobot at 05:20, 27 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n416/Kauffman_Polynomial&amp;diff=93489&amp;oldid=prev"/>
		<updated>2005-08-27T05:20:21Z</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;3 z^3 a^{11}-5 z a^{11}+a^{11} z^{-1} +z^6 a^{10}+2 z^4 a^{10}-5 z^2 a^{10}-a^{10} z^{-2} +4 a^{10}+4 z^7 a^9-15 z^5 a^9+30 z^3 a^9-21 z a^9+5 a^9 z^{-1} +4 z^8 a^8-16 z^6 a^8+34 z^4 a^8-32 z^2 a^8-4 a^8 z^{-2} +17 a^8+z^9 a^7+4 z^7 a^7-23 z^5 a^7+43 z^3 a^7-33 z a^7+9 a^7 z^{-1} +6 z^8 a^6-22 z^6 a^6+36 z^4 a^6-36 z^2 a^6-5 a^6 z^{-2} +20 a^6+z^9 a^5+2 z^7 a^5-14 z^5 a^5+19 z^3 a^5-16 z a^5+5 a^5 z^{-1} +2 z^8 a^4-4 z^6 a^4-4 z^2 a^4-2 a^4 z^{-2} +6 a^4+2 z^7 a^3-6 z^5 a^3+3 z^3 a^3+z a^3+z^6 a^2-4 z^4 a^2+5 z^2 a^2-2 a^2&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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