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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL11a152%2FKauffman_Polynomial</id>
	<title>Data:L11a152/Kauffman Polynomial - Revision history</title>
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	<updated>2026-04-05T09:19:37Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:L11a152/Kauffman_Polynomial&amp;diff=1718951&amp;oldid=prev</id>
		<title>ScottDataRobot at 21:54, 20 February 2013</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11a152/Kauffman_Polynomial&amp;diff=1718951&amp;oldid=prev"/>
		<updated>2013-02-20T21:54:26Z</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 17:54, 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^6 a^{16}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/del&gt; z^4 a^{16}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/del&gt; z^2 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;-3&lt;/del&gt; z^7 a^{15}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+8&lt;/del&gt; z^5 a^{15}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-6&lt;/del&gt; z^3 a^{15}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/del&gt; z 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;-5&lt;/del&gt; z^8 a^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13&lt;/del&gt; z^6 a^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/del&gt; z^4 a^{14}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&lt;/del&gt; z^2 a^{14}&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;14&lt;/del&gt;}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/del&gt; z^9 a^{13}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+4&lt;/del&gt; z^7 a^{13}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/del&gt; z^5 a^{13}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&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;z^{10} a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-12&lt;/del&gt; z^8 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+38&lt;/del&gt; z^6 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-44&lt;/del&gt; z^4 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+25&lt;/del&gt; z^2 a^{12}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&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;-8&lt;/del&gt; z^9 a^{11}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+10&lt;/del&gt; z^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;a^{11}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/del&gt;z^3 a^{11}&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; a^{11}+&lt;/del&gt;2 a^{11} z^{-1} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z^{10} a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-13&lt;/del&gt; z^8 a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+32&lt;/del&gt; z^6 a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-30&lt;/del&gt; z^4 a^{10}&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13&lt;/del&gt; z^2 a^{10}&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;{10}-4&lt;/del&gt; z^9 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/del&gt; z^7 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+14&lt;/del&gt; z^5 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-11&lt;/del&gt; z^3 a^9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/del&gt; z a^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9-6&lt;/del&gt; z^8 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+5&lt;/del&gt; z^6 a^8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&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&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;8-6&lt;/del&gt; z^7 a^7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+11&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;a^7 z^{-1} &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;3 z^6 a^6&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; &lt;/del&gt;a^6&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^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6-&lt;/del&gt;z^5 a^5&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^5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/del&gt;z&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; a^5&lt;/del&gt;&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^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&lt;/ins&gt; a^{16} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+2&lt;/ins&gt; a^{16} z^2&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;15&lt;/ins&gt;} z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-8&lt;/ins&gt; a^{15} z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/ins&gt; a^{15} z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/ins&gt; a^{15} z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+5&lt;/ins&gt; a^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;14&lt;/ins&gt;} z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-13&lt;/ins&gt; a^{14} z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+12&lt;/ins&gt; a^{14} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-7&lt;/ins&gt; a^{14} z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+&lt;/ins&gt;2 a^{14}&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;13&lt;/ins&gt;} z^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^{13} z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-6&lt;/ins&gt; a^{13} z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+7&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;+a^{12} &lt;/ins&gt;z^{10}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+12&lt;/ins&gt; a^{12} z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-38&lt;/ins&gt; a^{12} z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+44&lt;/ins&gt; a^{12} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-25&lt;/ins&gt; a^{12} z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+5&lt;/ins&gt; a^{12}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+8&lt;/ins&gt; a^{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;11&lt;/ins&gt;} z^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-10&lt;/ins&gt; a^{11} z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;a^{11}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/ins&gt; a^{11} z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;2 a^{11} z^{-1} &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+a^{10} &lt;/ins&gt;z^{10}&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+13&lt;/ins&gt; a^{10} z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-32&lt;/ins&gt; a^{10} z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+30&lt;/ins&gt; a^{10} z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-13&lt;/ins&gt; a^{10} z^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/ins&gt; a^{10}&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;9&lt;/ins&gt; z^9&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+3&lt;/ins&gt; a^9 z^7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-14&lt;/ins&gt; a^9 z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+11&lt;/ins&gt; a^9 z^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-&lt;/ins&gt;3 a^9 z&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+6&lt;/ins&gt; a^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8&lt;/ins&gt; z^8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-5&lt;/ins&gt; a^8 z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-3&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;-&lt;/ins&gt;a^8+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6 &lt;/ins&gt;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;-11&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;a^7 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^6&lt;/ins&gt; z^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-4&lt;/ins&gt; a^6 z^4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;a^6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;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;5 &lt;/ins&gt;z^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/ins&gt; a^5 z^3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;a^5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;z&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:L11a152/Kauffman_Polynomial&amp;diff=74955&amp;oldid=prev</id>
		<title>ScottDataRobot at 14:17, 26 August 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11a152/Kauffman_Polynomial&amp;diff=74955&amp;oldid=prev"/>
		<updated>2005-08-26T14:17:38Z</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^6 a^{16}+3 z^4 a^{16}-2 z^2 a^{16}-3 z^7 a^{15}+8 z^5 a^{15}-6 z^3 a^{15}+2 z a^{15}-5 z^8 a^{14}+13 z^6 a^{14}-12 z^4 a^{14}+7 z^2 a^{14}-2 a^{14}-4 z^9 a^{13}+4 z^7 a^{13}+6 z^5 a^{13}-7 z^3 a^{13}+z a^{13}+a^{13} z^{-1} -z^{10} a^{12}-12 z^8 a^{12}+38 z^6 a^{12}-44 z^4 a^{12}+25 z^2 a^{12}-5 a^{12}-8 z^9 a^{11}+10 z^7 a^{11}+z^3 a^{11}-6 z a^{11}+2 a^{11} z^{-1} -z^{10} a^{10}-13 z^8 a^{10}+32 z^6 a^{10}-30 z^4 a^{10}+13 z^2 a^{10}-3 a^{10}-4 z^9 a^9-3 z^7 a^9+14 z^5 a^9-11 z^3 a^9+3 z a^9-6 z^8 a^8+5 z^6 a^8+3 z^4 a^8-4 z^2 a^8+a^8-6 z^7 a^7+11 z^5 a^7-11 z^3 a^7+7 z a^7-a^7 z^{-1} -3 z^6 a^6+4 z^4 a^6-z^2 a^6-z^5 a^5+2 z^3 a^5-z a^5&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
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