https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n311%2FKauffman_Polynomial 2026-07-26T14:02:10Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n311/Kauffman_Polynomial&diff=1716808&oldid=prev 2013-02-20T21:09:19Z

<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 17:09, 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;<del style="font-weight: bold; text-decoration: none;">a^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^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">8+</del>3 a^<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">z^8</del>+z<del style="font-weight: bold; text-decoration: none;">^8</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">3</del> z^8-<del style="font-weight: bold; text-decoration: none;">6</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7-5 a z^7</del>+<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -<del style="font-weight: bold; text-decoration: none;">7</del> a^4 z^<del style="font-weight: bold; text-decoration: none;">6-23 a^</del>2 z^<del style="font-weight: bold; text-decoration: none;">6-4 z^6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">+</del>2 <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">6</del> <del style="font-weight: bold; text-decoration: none;">a</del>^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">-22</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">6</del>+<del style="font-weight: bold; text-decoration: none;">7 </del>a^3 z^<del style="font-weight: bold; text-decoration: none;">5</del>-<del style="font-weight: bold; text-decoration: none;">3</del> a z^<del style="font-weight: bold; text-decoration: none;">5-18</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;">-</del>7 z^5<del style="font-weight: bold; text-decoration: none;"> a^{</del>-<del style="font-weight: bold; text-decoration: none;">3}</del> <del style="font-weight: bold; text-decoration: none;">+</del>z^5 a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} +<del style="font-weight: bold; text-decoration: none;">16</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">4+53 a^2 z^4</del>+6 z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -<del style="font-weight: bold; text-decoration: none;">6</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">a^{</del>-4<del style="font-weight: bold; text-decoration: none;">} +49</del> z<del style="font-weight: bold; text-decoration: none;">^4+6</del> a^3 <del style="font-weight: bold; text-decoration: none;">z^3</del>+<del style="font-weight: bold; text-decoration: none;">30</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3<del style="font-weight: bold; text-decoration: none;">+33</del> z<del style="font-weight: bold; text-decoration: none;">^3 a</del>^{-1} +<del style="font-weight: bold; text-decoration: none;">6 z^3</del> a^{-3}<del style="font-weight: bold; text-decoration: none;"> -3</del> z<del style="font-weight: bold; text-decoration: none;">^3 a</del>^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-17</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^2-<del style="font-weight: bold; text-decoration: none;">49</del> a^2 z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-2} +2 z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -<del style="font-weight: bold; text-decoration: none;">42</del> z^2-<del style="font-weight: bold; text-decoration: none;">13</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">z</del>-<del style="font-weight: bold; text-decoration: none;">29</del> a z<del style="font-weight: bold; text-decoration: none;">-21 z a</del>^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">4 z</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">+</del>z<del style="font-weight: bold; text-decoration: none;"> a</del>^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">+9 a^4</del>+21 a^2+5 a^{-2} +<del style="font-weight: bold; text-decoration: none;">18+</del>5 a^3 z^{-1} <del style="font-weight: bold; text-decoration: none;">+9</del> a z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">1}</del> <del style="font-weight: bold; text-decoration: none;">+</del>5 a^{-1} z^{-1} <del style="font-weight: bold; text-decoration: none;">+</del> a<del style="font-weight: bold; text-decoration: none;">^{</del>-<del style="font-weight: bold; text-decoration: none;">3}</del> z^{-1} <del style="font-weight: bold; text-decoration: none;">-2</del> a<del style="font-weight: bold; text-decoration: none;">^4</del> z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-</del>5 a^<del style="font-weight: bold; text-decoration: none;">2</del> z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">2}</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">2}</del> -4 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;z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-5} -3</ins> z^3 a^<ins style="font-weight: bold; text-decoration: none;">{-5}</ins> +z a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +<ins style="font-weight: bold; text-decoration: none;">a^4</ins> z^8-<ins style="font-weight: bold; text-decoration: none;">7</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} +<ins style="font-weight: bold; text-decoration: none;">16 a^4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4-6 z^4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -<ins style="font-weight: bold; text-decoration: none;">17</ins> a^4 z^<ins style="font-weight: bold; text-decoration: none;">2+</ins>2 z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>2 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">+9</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins>+a^3 z^<ins style="font-weight: bold; text-decoration: none;">9</ins>-<ins style="font-weight: bold; text-decoration: none;">6</ins> a<ins style="font-weight: bold; text-decoration: none;">^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7+2</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>7<ins style="font-weight: bold; text-decoration: none;"> a^3</ins> z^5-<ins style="font-weight: bold; text-decoration: none;">7</ins> z^5 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +<ins style="font-weight: bold; text-decoration: none;">6</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>+6 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;">13</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>-4 z a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3<ins style="font-weight: bold; text-decoration: none;">}</ins> +<ins style="font-weight: bold; text-decoration: none;">5</ins> a^3 z^{-1} + a^{-3} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+3</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8+z^8 a^{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} </ins>-<ins style="font-weight: bold; text-decoration: none;">23</ins> a^2 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-2} +<ins style="font-weight: bold; text-decoration: none;">53 a^</ins>2 z^<ins style="font-weight: bold; text-decoration: none;">4+6 z^4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<ins style="font-weight: bold; text-decoration: none;">49 a^2</ins> z^2-<ins style="font-weight: bold; text-decoration: none;">8 z^2</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-2}</ins> -<ins style="font-weight: bold; text-decoration: none;">5</ins> a<ins style="font-weight: bold; text-decoration: none;">^2</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} - a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +21 a^2+5 a^{-2} +<ins style="font-weight: bold; text-decoration: none;">a z^9-</ins>5 a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">7+</ins>3 z<ins style="font-weight: bold; text-decoration: none;">^7 a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">-3</ins> a z^<ins style="font-weight: bold; text-decoration: none;">5</ins>-<ins style="font-weight: bold; text-decoration: none;">18</ins> <ins style="font-weight: bold; text-decoration: none;">z^</ins>5 a^{-1}<ins style="font-weight: bold; text-decoration: none;"> +30 a</ins> z<ins style="font-weight: bold; text-decoration: none;">^3+33 z^3 a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">-29</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>-<ins style="font-weight: bold; text-decoration: none;">21</ins> z<ins style="font-weight: bold; text-decoration: none;"> a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+9</ins> a z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>5 a^<ins style="font-weight: bold; text-decoration: none;">{-1}</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+3</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">22</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+49 z^4</ins>-<ins style="font-weight: bold; text-decoration: none;">42</ins> <ins style="font-weight: bold; text-decoration: none;">z^2</ins>-4 z^{-2} <ins style="font-weight: bold; text-decoration: none;">+18</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-92230:rev-1716808:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n311/Kauffman_Polynomial&diff=92230&oldid=prev 2005-08-27T04:15:24Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;a^3 z^9+a z^9+a^4 z^8+3 a^2 z^8+z^8 a^{-2} +3 z^8-6 a^3 z^7-5 a z^7+3 z^7 a^{-1} +2 z^7 a^{-3} -7 a^4 z^6-23 a^2 z^6-4 z^6 a^{-2} +2 z^6 a^{-4} -22 z^6+7 a^3 z^5-3 a z^5-18 z^5 a^{-1} -7 z^5 a^{-3} +z^5 a^{-5} +16 a^4 z^4+53 a^2 z^4+6 z^4 a^{-2} -6 z^4 a^{-4} +49 z^4+6 a^3 z^3+30 a z^3+33 z^3 a^{-1} +6 z^3 a^{-3} -3 z^3 a^{-5} -17 a^4 z^2-49 a^2 z^2-8 z^2 a^{-2} +2 z^2 a^{-4} -42 z^2-13 a^3 z-29 a z-21 z a^{-1} -4 z a^{-3} +z a^{-5} +9 a^4+21 a^2+5 a^{-2} +18+5 a^3 z^{-1} +9 a z^{-1} +5 a^{-1} z^{-1} + a^{-3} z^{-1} -2 a^4 z^{-2} -5 a^2 z^{-2} - a^{-2} z^{-2} -4 z^{-2} &lt;/math&gt;</div>

ScottDataRobot