https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n241%2FKauffman_Polynomial 2026-04-17T19:20:35Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n241/Kauffman_Polynomial&diff=1716355&oldid=prev 2013-02-20T20:59:40Z

<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 16:59, 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;">-</del>z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">z^9</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">-7 </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;">-</del>5 z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -<del style="font-weight: bold; text-decoration: none;">2</del> z<del style="font-weight: bold; text-decoration: none;">^8-</del>a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">3 z^</del>7 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>}<del style="font-weight: bold; text-decoration: none;"> -10</del> z<del style="font-weight: bold; text-decoration: none;">^7 a</del>^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">-8</del> z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">+23</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">10</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -<del style="font-weight: bold; text-decoration: none;">5 z^6</del> a^{-6} +8 z^<del style="font-weight: bold; text-decoration: none;">6+5</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^5<del style="font-weight: bold; text-decoration: none;">+26</del> z^5 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +<del style="font-weight: bold; text-decoration: none;">47</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">+25</del> z<del style="font-weight: bold; text-decoration: none;">^5</del> a^{-5} <del style="font-weight: bold; text-decoration: none;">-z^5</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>}<del style="font-weight: bold; text-decoration: none;"> -16</del> z<del style="font-weight: bold; text-decoration: none;">^4 a</del>^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-4} <del style="font-weight: bold; text-decoration: none;">+9</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -<del style="font-weight: bold; text-decoration: none;">9</del> z^4<del style="font-weight: bold; text-decoration: none;">-9</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">3</del>-<del style="font-weight: bold; text-decoration: none;">41</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">58 z^</del>3 a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">-31 </del>z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-5</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} -<del style="font-weight: bold; text-decoration: none;">8</del> 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;">-9</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -<del style="font-weight: bold; text-decoration: none;">3</del> z<del style="font-weight: bold; text-decoration: none;">^2</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} +<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;">2+7 a</del> z<del style="font-weight: bold; text-decoration: none;">+24 z a</del>^{-1} +<del style="font-weight: bold; text-decoration: none;">31</del> z a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">+18</del> z a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} +<del style="font-weight: bold; text-decoration: none;">4</del> z a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} <del style="font-weight: bold; text-decoration: none;">+</del> a^{-2} +<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} +<del style="font-weight: bold; text-decoration: none;">3 </del>a<del style="font-weight: bold; text-decoration: none;">^{-6}</del> + a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} <del style="font-weight: bold; text-decoration: none;">+1</del>-<del style="font-weight: bold; text-decoration: none;">2</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;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} z^{-1} <del style="font-weight: bold; text-decoration: none;">-4</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} z^{-1} - <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;">7}</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-1<del style="font-weight: bold; text-decoration: none;">} </del>&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;<ins style="font-weight: bold; text-decoration: none;">3 </ins>z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} - a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>5 z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} -<ins style="font-weight: bold; text-decoration: none;">4</ins> z<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{</ins>-7<ins style="font-weight: bold; text-decoration: none;">} +</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+5</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">-9</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} +<ins style="font-weight: bold; text-decoration: none;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} -<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-6} +8 z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>5<ins style="font-weight: bold; text-decoration: none;">} -25</ins> z^5 a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +<ins style="font-weight: bold; text-decoration: none;">31</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} <ins style="font-weight: bold; text-decoration: none;">-18</ins> z a^{-5} <ins style="font-weight: bold; text-decoration: none;">+4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-4} <ins style="font-weight: bold; text-decoration: none;">-10</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;">2</ins> z^4 a^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">4} +8</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -3 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">+10</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;">47</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">+58</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;">31</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +<ins style="font-weight: bold; text-decoration: none;">6</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-3}</ins> z^{-1} +<ins style="font-weight: bold; text-decoration: none;">7</ins> z<ins style="font-weight: bold; text-decoration: none;">^8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">-23</ins> z<ins style="font-weight: bold; text-decoration: none;">^6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">16</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;">-</ins> a^{-2} +<ins style="font-weight: bold; text-decoration: none;">z^9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +a <ins style="font-weight: bold; text-decoration: none;">z^7</ins>+<ins style="font-weight: bold; text-decoration: none;">3 z^7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} -<ins style="font-weight: bold; text-decoration: none;">5</ins> a z^<ins style="font-weight: bold; text-decoration: none;">5</ins>-<ins style="font-weight: bold; text-decoration: none;">26</ins> <ins style="font-weight: bold; text-decoration: none;">z^</ins>5 a^{-1}<ins style="font-weight: bold; text-decoration: none;"> +9 a</ins> z<ins style="font-weight: bold; text-decoration: none;">^3+41 z^3 a</ins>^{-1} -<ins style="font-weight: bold; text-decoration: none;">7 a z-24 z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>}<ins style="font-weight: bold; text-decoration: none;"> +2 a</ins> z^{-1} <ins style="font-weight: bold; text-decoration: none;">+5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+2 z^8</ins>-<ins style="font-weight: bold; text-decoration: none;">8</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">6+9 z^4</ins>-<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>-1&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n241/Kauffman_Polynomial&diff=91390&oldid=prev 2005-08-27T03:33:46Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-z^9 a^{-1} -z^9 a^{-3} -7 z^8 a^{-2} -5 z^8 a^{-4} -2 z^8-a z^7-3 z^7 a^{-1} -10 z^7 a^{-3} -8 z^7 a^{-5} +23 z^6 a^{-2} +10 z^6 a^{-4} -5 z^6 a^{-6} +8 z^6+5 a z^5+26 z^5 a^{-1} +47 z^5 a^{-3} +25 z^5 a^{-5} -z^5 a^{-7} -16 z^4 a^{-2} +2 z^4 a^{-4} +9 z^4 a^{-6} -9 z^4-9 a z^3-41 z^3 a^{-1} -58 z^3 a^{-3} -31 z^3 a^{-5} -5 z^3 a^{-7} -8 z^2 a^{-4} -9 z^2 a^{-6} -3 z^2 a^{-8} +2 z^2+7 a z+24 z a^{-1} +31 z a^{-3} +18 z a^{-5} +4 z a^{-7} + a^{-2} +3 a^{-4} +3 a^{-6} + a^{-8} +1-2 a z^{-1} -5 a^{-1} z^{-1} -6 a^{-3} z^{-1} -4 a^{-5} z^{-1} - a^{-7} z^{-1} &lt;/math&gt;</div>

ScottDataRobot