https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n442%2FKauffman_Polynomial 2026-06-04T23:47:01Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n442/Kauffman_Polynomial&diff=1718462&oldid=prev 2013-02-20T21:44:18Z

<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 17:44, 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;">3</del>} -z^<del style="font-weight: bold; text-decoration: none;">9</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;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -<del style="font-weight: bold; text-decoration: none;">8 z^8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">-</del>3 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;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-14</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;">10</del> z^7 a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} -3 z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} <del style="font-weight: bold; text-decoration: none;">+7</del> z^6 a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <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;">4</del>} +<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-6} -<del style="font-weight: bold; text-decoration: none;">z^</del>6 a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} <del style="font-weight: bold; text-decoration: none;">-3 z^6</del>+<del style="font-weight: bold; text-decoration: none;">22 </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;">53</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;">+</del>40 z^5 a^{-5} +<del style="font-weight: bold; text-decoration: none;">9</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;">+4</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>^{-<del style="font-weight: bold; text-decoration: none;">2</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;">4</del>} +11<del style="font-weight: bold; text-decoration: none;"> z^4</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;">^4 a</del>^{-<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;">4-6</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;">42</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;">74</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;">-47</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;">-9 z^</del>3 a^{-<del style="font-weight: bold; text-decoration: none;">7</del>}<del style="font-weight: bold; text-decoration: none;"> -24</del> z<del style="font-weight: bold; text-decoration: none;">^2 a</del>^{-2} -<del style="font-weight: bold; text-decoration: none;">28 z^2</del> a^{-4} <del style="font-weight: bold; text-decoration: none;">-14 </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;">7</del> z^<del style="font-weight: bold; text-decoration: none;">2+10 a z+35 z</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +<del style="font-weight: bold; text-decoration: none;">49</del> z a^{-3} <del style="font-weight: bold; text-decoration: none;">+30 z</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>}<del style="font-weight: bold; text-decoration: none;"> +6</del> z<del style="font-weight: bold; text-decoration: none;"> a</del>^{-<del style="font-weight: bold; text-decoration: none;">7</del>} <del style="font-weight: bold; text-decoration: none;">+21</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +18 a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">+6 a</del>^{-<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;">+9</del>-<del style="font-weight: bold; text-decoration: none;">5 a</del> z^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">14</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} z^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">-18</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} z^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">11</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} z^{-1} -<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">{-7}</del> <del style="font-weight: bold; text-decoration: none;">z</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>6 a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -3 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;">3</del> z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +a z^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">3</del> a^{-1} z^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +3 <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> z^<del style="font-weight: bold; text-decoration: none;">{-3} </del>+ <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">{-5}</del> z^{-<del style="font-weight: bold; text-decoration: none;">3</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;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} -<ins style="font-weight: bold; text-decoration: none;">3 </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;">+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>3 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;">9</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;">+9</ins> 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;">6</ins> z<ins style="font-weight: bold; text-decoration: none;"> a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-</ins>7<ins style="font-weight: bold; text-decoration: none;">} +2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">z^{</ins>-<ins style="font-weight: bold; text-decoration: none;">1} +</ins>3 z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">-3</ins> z^6 a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} <ins style="font-weight: bold; text-decoration: none;">-11</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;">14</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-6} -6 a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} +z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</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;">5</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>40 z^5 a^{-5} +<ins style="font-weight: bold; text-decoration: none;">47</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;">-</ins> <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;">z</ins>^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-30</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +11 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;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">4} -14</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;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">+28</ins> 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>3 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} z^{-2} -<ins style="font-weight: bold; text-decoration: none;">18</ins> a^{-4} <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;">+14</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;">53</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;">74</ins> z<ins style="font-weight: bold; text-decoration: none;">^3</ins> a^{-3} <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;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-49 z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +18 a^{-<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;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">5 z^8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<ins style="font-weight: bold; text-decoration: none;">7</ins> z<ins style="font-weight: bold; text-decoration: none;">^6 a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<ins style="font-weight: bold; text-decoration: none;">4 z^4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>}<ins style="font-weight: bold; text-decoration: none;"> +24</ins> z<ins style="font-weight: bold; text-decoration: none;">^2 a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">+6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<ins style="font-weight: bold; text-decoration: none;">21</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>}<ins style="font-weight: bold; text-decoration: none;"> +7</ins> z<ins style="font-weight: bold; text-decoration: none;">^7 a</ins>^{-1} -<ins style="font-weight: bold; text-decoration: none;">22</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>6<ins style="font-weight: bold; text-decoration: none;"> a z^3+42 z^3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>}<ins style="font-weight: bold; text-decoration: none;"> -a</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -3 a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -<ins style="font-weight: bold; text-decoration: none;">10 a</ins> z<ins style="font-weight: bold; text-decoration: none;">-35 z a</ins>^{-<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;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">14</ins> a^{-1} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +3 <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">6</ins>-3 z^<ins style="font-weight: bold; text-decoration: none;">4</ins>+<ins style="font-weight: bold; text-decoration: none;">7</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">2+3</ins> z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">-9</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n442/Kauffman_Polynomial&diff=93800&oldid=prev 2005-08-27T05:37:47Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-z^9 a^{-3} -z^9 a^{-5} -5 z^8 a^{-2} -8 z^8 a^{-4} -3 z^8 a^{-6} -7 z^7 a^{-1} -14 z^7 a^{-3} -10 z^7 a^{-5} -3 z^7 a^{-7} +7 z^6 a^{-2} +14 z^6 a^{-4} +3 z^6 a^{-6} -z^6 a^{-8} -3 z^6+22 z^5 a^{-1} +53 z^5 a^{-3} +40 z^5 a^{-5} +9 z^5 a^{-7} +4 z^4 a^{-2} +9 z^4 a^{-4} +11 z^4 a^{-6} +3 z^4 a^{-8} +3 z^4-6 a z^3-42 z^3 a^{-1} -74 z^3 a^{-3} -47 z^3 a^{-5} -9 z^3 a^{-7} -24 z^2 a^{-2} -28 z^2 a^{-4} -14 z^2 a^{-6} -3 z^2 a^{-8} -7 z^2+10 a z+35 z a^{-1} +49 z a^{-3} +30 z a^{-5} +6 z a^{-7} +21 a^{-2} +18 a^{-4} +6 a^{-6} + a^{-8} +9-5 a z^{-1} -14 a^{-1} z^{-1} -18 a^{-3} z^{-1} -11 a^{-5} z^{-1} -2 a^{-7} z^{-1} -6 a^{-2} z^{-2} -3 a^{-4} z^{-2} -3 z^{-2} +a z^{-3} +3 a^{-1} z^{-3} +3 a^{-3} z^{-3} + a^{-5} z^{-3} &lt;/math&gt;</div>

ScottDataRobot