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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL11n269%2FKauffman_Polynomial</id>
	<title>Data:L11n269/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%3AL11n269%2FKauffman_Polynomial"/>
	<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n269/Kauffman_Polynomial&amp;action=history"/>
	<updated>2026-06-05T01:58:46Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:L11n269/Kauffman_Polynomial&amp;diff=1715401&amp;oldid=prev</id>
		<title>ScottDataRobot at 20:39, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n269/Kauffman_Polynomial&amp;diff=1715401&amp;oldid=prev"/>
		<updated>2013-02-20T20:39:38Z</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 16:39, 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;
&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;z^5 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/del&gt; z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^9&lt;/del&gt;+3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^9-a^9 z^{-1} +z^6 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/del&gt; z^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^8+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;-3&lt;/del&gt; z^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^7&lt;/del&gt;+3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^7-a^7 z^{-1} +z^8 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/del&gt; z^6 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/del&gt; z^4 a^6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/del&gt; z^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^6&lt;/del&gt;-2 a^6 z^{-2} +7 a^6+2 z^7 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/del&gt; z^5 a^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+26&lt;/del&gt; z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^5&lt;/del&gt;-21&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^5+7 a^5 z^{-1} +z^8 a^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-8&lt;/del&gt; z^6 a^4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+24&lt;/del&gt; z^4 a^4&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^4&lt;/del&gt;-7 a^4 z^{-2} +22 a^4+2 z^7 a^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-17&lt;/del&gt; z^5 a^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+46&lt;/del&gt; z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^3 a&lt;/del&gt;^3-45&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/del&gt; a^3+15 a^3 z^{-1} +z^8 a^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/del&gt; z^6 a^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+33&lt;/del&gt; z^4 a^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-46&lt;/del&gt; z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^2 a&lt;/del&gt;^2-8 a^2 z^{-2} +28 a^2+z^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/del&gt;-9 z^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/del&gt;+24 z^3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/del&gt;-24 z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/del&gt;+8 a z^{-1} +z^8-8 z^6+21 z^4-23 z^2-3 z^{-2} +13&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^9 &lt;/ins&gt;z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^9 z^3+3 a^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;-a^9 z^{-1} +&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;-3&lt;/ins&gt; a^8 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&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;-3&lt;/ins&gt; a^7 z^5+3 a^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;-a^7 z^{-1} +&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^6 &lt;/ins&gt;z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/ins&gt; a^6 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+9&lt;/ins&gt; a^6 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-9&lt;/ins&gt; a^6 z^2-2 a^6 z^{-2} +7 a^6+2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^5&lt;/ins&gt; z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/ins&gt; a^5 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+26&lt;/ins&gt; a^5 z^3-21 a^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;+7 a^5 z^{-1} +&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^4 &lt;/ins&gt;z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8-&lt;/ins&gt;8 a^4 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+24&lt;/ins&gt; a^4 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-32&lt;/ins&gt; a^4 z^2-7 a^4 z^{-2} +22 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;-17&lt;/ins&gt; a^3 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+46&lt;/ins&gt; a^3 z^3-45 a^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; z&lt;/ins&gt;+15 a^3 z^{-1} +&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a^2 &lt;/ins&gt;z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/ins&gt; a^2 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+33&lt;/ins&gt; a^2 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-46&lt;/ins&gt; a^2 z^2-8 a^2 z^{-2} +28 a^2+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a &lt;/ins&gt;z^7-9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/ins&gt; z^5+24&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/ins&gt; z^3-24&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a&lt;/ins&gt; z+8 a z^{-1} +z^8-8 z^6+21 z^4-23 z^2-3 z^{-2} +13&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:L11n269/Kauffman_Polynomial&amp;diff=91726&amp;oldid=prev</id>
		<title>ScottDataRobot at 03:48, 27 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n269/Kauffman_Polynomial&amp;diff=91726&amp;oldid=prev"/>
		<updated>2005-08-27T03:48:05Z</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^5 a^9-4 z^3 a^9+3 z a^9-a^9 z^{-1} +z^6 a^8-3 z^4 a^8+a^8+z^7 a^7-3 z^5 a^7+3 z a^7-a^7 z^{-1} +z^8 a^6-5 z^6 a^6+9 z^4 a^6-9 z^2 a^6-2 a^6 z^{-2} +7 a^6+2 z^7 a^5-12 z^5 a^5+26 z^3 a^5-21 z a^5+7 a^5 z^{-1} +z^8 a^4-8 z^6 a^4+24 z^4 a^4-32 z^2 a^4-7 a^4 z^{-2} +22 a^4+2 z^7 a^3-17 z^5 a^3+46 z^3 a^3-45 z a^3+15 a^3 z^{-1} +z^8 a^2-10 z^6 a^2+33 z^4 a^2-46 z^2 a^2-8 a^2 z^{-2} +28 a^2+z^7 a-9 z^5 a+24 z^3 a-24 z a+8 a z^{-1} +z^8-8 z^6+21 z^4-23 z^2-3 z^{-2} +13&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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