https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a463%2FKauffman_Polynomial 2026-07-16T02:47:21Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a463/Kauffman_Polynomial&diff=1718326&oldid=prev 2013-02-20T21:41:27Z

<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 17:41, 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;">2 </del>z^<del style="font-weight: bold; text-decoration: none;">{10}</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;">{10}</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} +<del style="font-weight: bold; text-decoration: none;">5 </del>z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">10</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;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +<del style="font-weight: bold; text-decoration: none;">6</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;">4</del> z^8 a^{-<del style="font-weight: bold; text-decoration: none;">4</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;">6</del> z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-8} <del style="font-weight: bold; text-decoration: none;">+6</del> z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -8 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;">-30</del> z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} -13 z^7 a^{-7} +<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;">9</del>} <del style="font-weight: bold; text-decoration: none;">-7</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;">18</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;">-30 z^6</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>}<del style="font-weight: bold; text-decoration: none;"> -22</del> z<del style="font-weight: bold; text-decoration: none;">^6 a</del>^{-<del style="font-weight: bold; text-decoration: none;">8</del>} +z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">10</del>} +4 z^<del style="font-weight: bold; text-decoration: none;">6+a z^5-9 z^5</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <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;">3</del>} +<del style="font-weight: bold; text-decoration: none;">32</del> z^<del style="font-weight: bold; text-decoration: none;">5</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;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} -<del style="font-weight: bold; text-decoration: none;">8 z^5</del> a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} <del style="font-weight: bold; text-decoration: none;">-</del>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;">24</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">+49</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;">28</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;">3</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;">-7</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> z<del style="font-weight: bold; text-decoration: none;">^3+z^3 a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-7</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;">11</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;">+2</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} <del style="font-weight: bold; text-decoration: none;">-12</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-4} -<del style="font-weight: bold; text-decoration: none;">31</del> z^2 a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -<del style="font-weight: bold; text-decoration: none;">20 z^2</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} <del style="font-weight: bold; text-decoration: none;">+</del>z^2 a^{-<del style="font-weight: bold; text-decoration: none;">10</del>} +<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">2-11 z</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} -<del style="font-weight: bold; text-decoration: none;">11</del> z a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +5 a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">+13</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} +8 a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} <del style="font-weight: bold; text-decoration: none;">+1+2</del> 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;">2</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">{-</del>7<del style="font-weight: bold; text-decoration: none;">}</del> <del style="font-weight: bold; text-decoration: none;">z</del>^{-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;">4}</del> z^<del style="font-weight: bold; text-decoration: none;">{-2} -2</del> a^{-<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;">8</del>} z^<del style="font-weight: bold; text-decoration: none;">{</del>-2<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;z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">10</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;">10</ins>} +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;">3</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;">-8</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;">2</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;">6</ins> z^8 a^{-<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</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} +<ins style="font-weight: bold; text-decoration: none;">28</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-8} <ins style="font-weight: bold; text-decoration: none;">-20</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} <ins style="font-weight: bold; text-decoration: none;">- a^{</ins>-8<ins style="font-weight: bold; text-decoration: none;">}</ins> z^<ins style="font-weight: bold; text-decoration: none;">{-2} +8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} <ins style="font-weight: bold; text-decoration: none;">+5</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} -13 z^7 a^{-7} +<ins style="font-weight: bold; text-decoration: none;">5</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;">+11</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;">11</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">+2</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;">2 </ins>z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} +4 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;">-30</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;">49</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;">-31</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;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} z^<ins style="font-weight: bold; text-decoration: none;">{-2} +13</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} +<ins style="font-weight: bold; text-decoration: none;">10</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;">-30</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;">32</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} -<ins style="font-weight: bold; text-decoration: none;">11</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} <ins style="font-weight: bold; text-decoration: none;">+2</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">5}</ins> z^{-1} <ins style="font-weight: bold; text-decoration: none;">+2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} +<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">-18</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;">+24</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-4} -<ins style="font-weight: bold; text-decoration: none;">12</ins> z^2 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} - a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} z^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} +5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} +<ins style="font-weight: bold; text-decoration: none;">5</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;">8</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;">9 z^</ins>5 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-7 z^3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +<ins style="font-weight: bold; text-decoration: none;">6 z^</ins>8 a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">-7 z^6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>z<ins style="font-weight: bold; text-decoration: none;">^4 a</ins>^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">6</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^7 <ins style="font-weight: bold; text-decoration: none;">a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>a<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;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</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+z^3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>}<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;">7 z^4+</ins>2 <ins style="font-weight: bold; text-decoration: none;">z^2+1</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a463/Kauffman_Polynomial&diff=79683&oldid=prev 2005-08-26T18:43:47Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;2 z^{10} a^{-4} +2 z^{10} a^{-6} +5 z^9 a^{-3} +10 z^9 a^{-5} +5 z^9 a^{-7} +6 z^8 a^{-2} +4 z^8 a^{-4} +4 z^8 a^{-6} +6 z^8 a^{-8} +6 z^7 a^{-1} -8 z^7 a^{-3} -30 z^7 a^{-5} -13 z^7 a^{-7} +3 z^7 a^{-9} -7 z^6 a^{-2} -18 z^6 a^{-4} -30 z^6 a^{-6} -22 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5-9 z^5 a^{-1} +9 z^5 a^{-3} +32 z^5 a^{-5} +5 z^5 a^{-7} -8 z^5 a^{-9} -z^4 a^{-2} +24 z^4 a^{-4} +49 z^4 a^{-6} +28 z^4 a^{-8} -3 z^4 a^{-10} -7 z^4-a z^3+z^3 a^{-1} -7 z^3 a^{-3} +11 z^3 a^{-7} +2 z^3 a^{-9} -12 z^2 a^{-4} -31 z^2 a^{-6} -20 z^2 a^{-8} +z^2 a^{-10} +2 z^2-11 z a^{-5} -11 z a^{-7} +5 a^{-4} +13 a^{-6} +8 a^{-8} +1+2 a^{-5} z^{-1} +2 a^{-7} z^{-1} - a^{-4} z^{-2} -2 a^{-6} z^{-2} - a^{-8} z^{-2} &lt;/math&gt;</div>

ScottDataRobot