https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n426%2FKauffman_Polynomial 2026-04-05T00:34:46Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n426/Kauffman_Polynomial&diff=1713876&oldid=prev 2013-02-20T20:06:51Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:06, 20 February 2013</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td style="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;"><div>&lt;math&gt;a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9+a</del> <del style="font-weight: bold; text-decoration: none;">z^9+</del>a^4 z^<del style="font-weight: bold; text-decoration: none;">8</del>+<del style="font-weight: bold; text-decoration: none;">2</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">8+z^8</del>-<del style="font-weight: bold; text-decoration: none;">7</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">7 </del>a z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">7</del> a^4 z^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">15</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">6-8 z^6</del>+14 a^3 z^5<del style="font-weight: bold; text-decoration: none;">+13</del> a z^<del style="font-weight: bold; text-decoration: none;">5-</del>z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">+15</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z<del style="font-weight: bold; text-decoration: none;">^4+35 a^</del>2 z<del style="font-weight: bold; text-decoration: none;">^4+z^4</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">21</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">7</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>-<del style="font-weight: bold; text-decoration: none;">3</del> a z^<del style="font-weight: bold; text-decoration: none;">3</del>+<del style="font-weight: bold; text-decoration: none;">5 z^3</del> a^<del style="font-weight: bold; text-decoration: none;">{-1}</del> +z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -<del style="font-weight: bold; text-decoration: none;">12</del> a^4 z^2-<del style="font-weight: bold; text-decoration: none;">32</del> a^2 z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">z</del>^2 a^{-2} <del style="font-weight: bold; text-decoration: none;">-24</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">3</del> a<del style="font-weight: bold; text-decoration: none;">^3</del> z<del style="font-weight: bold; text-decoration: none;">-</del>7 a z-<del style="font-weight: bold; text-decoration: none;">6 </del>z a^{-1} -<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">z</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">{-</del>3<del style="font-weight: bold; text-decoration: none;">} </del>+5 <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">4+13 a^2+4</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">+13+2</del> a<del style="font-weight: bold; text-decoration: none;">^3</del> z^{-1} +2 a z^{-1} -<del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">2} -2 a^2</del> z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">} </del>- z^{-2} &lt;/math&gt;</div></td> <td class="diff-marker" data-marker="+"></td> <td style="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;"><div>&lt;math&gt;a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">8-7</ins> a^4 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">15</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">12</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-a<ins style="font-weight: bold; text-decoration: none;">^4</ins> z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">2} +5</ins> a^4<ins style="font-weight: bold; text-decoration: none;">+a^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>-<ins style="font-weight: bold; text-decoration: none;">7</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>+14 a^3 z^5<ins style="font-weight: bold; text-decoration: none;">-7</ins> a<ins style="font-weight: bold; text-decoration: none;">^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3+</ins>z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-3</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z<ins style="font-weight: bold; text-decoration: none;">-</ins>2 z a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +<ins style="font-weight: bold; text-decoration: none;">2 a^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">1} +2</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">15</ins> a<ins style="font-weight: bold; text-decoration: none;">^2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">35</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">z^4</ins>+z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<ins style="font-weight: bold; text-decoration: none;">32</ins> a^<ins style="font-weight: bold; text-decoration: none;">2 z^2-</ins>4 z^2<ins style="font-weight: bold; text-decoration: none;"> a^{</ins>-<ins style="font-weight: bold; text-decoration: none;">2} -2</ins> a^2 z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">2}</ins> <ins style="font-weight: bold; text-decoration: none;">+13 a</ins>^2<ins style="font-weight: bold; text-decoration: none;">+4</ins> a^{-2} <ins style="font-weight: bold; text-decoration: none;">+a</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>-<ins style="font-weight: bold; text-decoration: none;">7</ins> a z<ins style="font-weight: bold; text-decoration: none;">^</ins>7<ins style="font-weight: bold; text-decoration: none;">+13</ins> a z<ins style="font-weight: bold; text-decoration: none;">^5</ins>-z<ins style="font-weight: bold; text-decoration: none;">^5</ins> a^{-1} -<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^3+5 <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">-7</ins> a z<ins style="font-weight: bold; text-decoration: none;">-6 z a</ins>^{-1} +2 a z^{-1} <ins style="font-weight: bold; text-decoration: none;">+z^8</ins>-<ins style="font-weight: bold; text-decoration: none;">8 z</ins>^<ins style="font-weight: bold; text-decoration: none;">6+21</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">24</ins> z^2- z^{-2} <ins style="font-weight: bold; text-decoration: none;">+13</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-93609:rev-1713876:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n426/Kauffman_Polynomial&diff=93609&oldid=prev 2005-08-27T05:26:46Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;a^3 z^9+a z^9+a^4 z^8+2 a^2 z^8+z^8-7 a^3 z^7-7 a z^7-7 a^4 z^6-15 a^2 z^6-8 z^6+14 a^3 z^5+13 a z^5-z^5 a^{-1} +15 a^4 z^4+35 a^2 z^4+z^4 a^{-2} +21 z^4-7 a^3 z^3-3 a z^3+5 z^3 a^{-1} +z^3 a^{-3} -12 a^4 z^2-32 a^2 z^2-4 z^2 a^{-2} -24 z^2-3 a^3 z-7 a z-6 z a^{-1} -2 z a^{-3} +5 a^4+13 a^2+4 a^{-2} +13+2 a^3 z^{-1} +2 a z^{-1} -a^4 z^{-2} -2 a^2 z^{-2} - z^{-2} &lt;/math&gt;</div>

ScottDataRobot