https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n301%2FKauffman_Polynomial 2026-04-19T17:51:32Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n301/Kauffman_Polynomial&diff=1717555&oldid=prev 2013-02-20T21:25:10Z

<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 17:25, 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;z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} <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;">9</del>} +<del style="font-weight: bold; text-decoration: none;">4 </del>z<del style="font-weight: bold; text-decoration: none;">^8</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</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;">8</del>} <del style="font-weight: bold; text-decoration: none;">+3</del> z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">10</del>} +3 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;">+7 z^7</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +<del style="font-weight: bold; text-decoration: none;">8</del> z^7 a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} <del style="font-weight: bold; text-decoration: none;">+4</del> z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-11} <del style="font-weight: bold; text-decoration: none;">-14 </del>z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -<del style="font-weight: bold; text-decoration: none;">17</del> z<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;">3 z^6</del> a^{-<del style="font-weight: bold; text-decoration: none;">12</del>}<del style="font-weight: bold; text-decoration: none;"> -9</del> z<del style="font-weight: bold; text-decoration: none;">^5 a</del>^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-28</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} -<del style="font-weight: bold; text-decoration: none;">26</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} <del style="font-weight: bold; text-decoration: none;">-</del>6 z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">11</del>} <del style="font-weight: bold; text-decoration: none;">+z^5</del> a^{-<del style="font-weight: bold; text-decoration: none;">13</del>}<del style="font-weight: bold; text-decoration: none;"> +6</del> z<del style="font-weight: bold; text-decoration: none;">^4 a</del>^{-<del style="font-weight: bold; text-decoration: none;">4</del>} +<del style="font-weight: bold; text-decoration: none;">32 </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;">23</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} -<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;">10</del>} <del style="font-weight: bold; text-decoration: none;">-6</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">12</del>} <del style="font-weight: bold; text-decoration: none;">+18</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;">48 z^3</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>}<del style="font-weight: bold; text-decoration: none;"> +33</del> z<del style="font-weight: bold; text-decoration: none;">^3 a</del>^{-<del style="font-weight: bold; text-decoration: none;">9</del>} +z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">11</del>} -<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">13</del>} <del style="font-weight: bold; text-decoration: none;">-16</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;">38</del> z^2 a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -<del style="font-weight: bold; text-decoration: none;">19</del> z^2 a^{-8} +<del style="font-weight: bold; text-decoration: none;">6 </del>z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-<del style="font-weight: bold; text-decoration: none;">10</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;">12</del>} -<del style="font-weight: bold; text-decoration: none;">19</del> z a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-35</del> z a^{-7} -<del style="font-weight: bold; text-decoration: none;">19</del> z a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} <del style="font-weight: bold; text-decoration: none;">-2 z</del> a^{-<del style="font-weight: bold; text-decoration: none;">11</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;">13</del>} +<del style="font-weight: bold; text-decoration: none;">11</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">+22</del> a^{-6} +<del style="font-weight: bold; text-decoration: none;">13</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} - a^{-<del style="font-weight: bold; text-decoration: none;">12</del>} <del style="font-weight: bold; text-decoration: none;">+</del>5 a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} z^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +<del style="font-weight: bold; text-decoration: none;">9</del> a^{-7} z^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} z^{-<del style="font-weight: bold; text-decoration: none;">1</del>} + a^{-<del style="font-weight: bold; text-decoration: none;">11</del>} z^{-1} <del style="font-weight: bold; text-decoration: none;">-2</del> a^{-4} z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">} -5</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} <del style="font-weight: bold; text-decoration: none;">z^{</del>-2<del style="font-weight: bold; text-decoration: none;">} -4</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} z^{-2} <del style="font-weight: bold; text-decoration: none;">-</del> a^{-<del style="font-weight: bold; text-decoration: none;">10} z^{-2</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;z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">13</ins>} <ins style="font-weight: bold; text-decoration: none;">-2 </ins>z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">13</ins>} +z a^{-<ins style="font-weight: bold; text-decoration: none;">13</ins>} +<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">12</ins>} <ins style="font-weight: bold; text-decoration: none;">-6</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">12</ins>} +3 z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">12</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">12</ins>} +<ins style="font-weight: bold; text-decoration: none;">4</ins> z^7 a^{-<ins style="font-weight: bold; text-decoration: none;">11</ins>} <ins style="font-weight: bold; text-decoration: none;">-6</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-11} <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">11</ins>} -<ins style="font-weight: bold; text-decoration: none;">2</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">11</ins>} + a^{-<ins style="font-weight: bold; text-decoration: none;">11</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+3</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">10</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;">10</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>6 z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">10</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">10</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">9</ins>} +<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">9</ins>} -<ins style="font-weight: bold; text-decoration: none;">26</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">9</ins>} <ins style="font-weight: bold; text-decoration: none;">+33</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">9</ins>} <ins style="font-weight: bold; text-decoration: none;">-19</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">9</ins>} +<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">9</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<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;">8</ins>} -<ins style="font-weight: bold; text-decoration: none;">17</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} <ins style="font-weight: bold; text-decoration: none;">+23</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} -<ins style="font-weight: bold; text-decoration: none;">19</ins> z^2 a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} -<ins style="font-weight: bold; text-decoration: none;">4 a^{-8}</ins> z^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} +13</ins> a^{-8} +z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} +<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} -<ins style="font-weight: bold; text-decoration: none;">28</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;">+48</ins> z<ins style="font-weight: bold; text-decoration: none;">^3</ins> a^{-7} -<ins style="font-weight: bold; text-decoration: none;">35</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">+9</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;">4 z^8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">-14 z^6</ins> a^{-6} +<ins style="font-weight: bold; text-decoration: none;">32 z^4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} -<ins style="font-weight: bold; text-decoration: none;">38 z^2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>5 a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">22</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6} +3 z^</ins>7<ins style="font-weight: bold; text-decoration: none;"> a^{-5</ins>}<ins style="font-weight: bold; text-decoration: none;"> -9</ins> z<ins style="font-weight: bold; text-decoration: none;">^5 a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +<ins style="font-weight: bold; text-decoration: none;">18 z^3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>}<ins style="font-weight: bold; text-decoration: none;"> -19</ins> z<ins style="font-weight: bold; text-decoration: none;"> a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+6 z^4</ins> a^{-4}<ins style="font-weight: bold; text-decoration: none;"> -16</ins> z^2 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -2 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} z^{-2} <ins style="font-weight: bold; text-decoration: none;">+11</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} &lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n301/Kauffman_Polynomial&diff=92110&oldid=prev 2005-08-27T04:08:26Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-6} +7 z^8 a^{-8} +3 z^8 a^{-10} +3 z^7 a^{-5} +7 z^7 a^{-7} +8 z^7 a^{-9} +4 z^7 a^{-11} -14 z^6 a^{-6} -17 z^6 a^{-8} +3 z^6 a^{-12} -9 z^5 a^{-5} -28 z^5 a^{-7} -26 z^5 a^{-9} -6 z^5 a^{-11} +z^5 a^{-13} +6 z^4 a^{-4} +32 z^4 a^{-6} +23 z^4 a^{-8} -9 z^4 a^{-10} -6 z^4 a^{-12} +18 z^3 a^{-5} +48 z^3 a^{-7} +33 z^3 a^{-9} +z^3 a^{-11} -2 z^3 a^{-13} -16 z^2 a^{-4} -38 z^2 a^{-6} -19 z^2 a^{-8} +6 z^2 a^{-10} +3 z^2 a^{-12} -19 z a^{-5} -35 z a^{-7} -19 z a^{-9} -2 z a^{-11} +z a^{-13} +11 a^{-4} +22 a^{-6} +13 a^{-8} - a^{-12} +5 a^{-5} z^{-1} +9 a^{-7} z^{-1} +5 a^{-9} z^{-1} + a^{-11} z^{-1} -2 a^{-4} z^{-2} -5 a^{-6} z^{-2} -4 a^{-8} z^{-2} - a^{-10} z^{-2} &lt;/math&gt;</div>

ScottDataRobot