https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a127%2FKauffman_Polynomial 2026-06-26T11:16:46Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a127/Kauffman_Polynomial&diff=1715260&oldid=prev 2013-02-20T20:36:38Z

<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 16:36, 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>a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">{10}</del>-<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;">{10}-4</del> a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">9</del>-<del style="font-weight: bold; text-decoration: none;">13</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">9-</del>9<del style="font-weight: bold; text-decoration: none;"> a^3</del> z^<del style="font-weight: bold; text-decoration: none;">9</del>-3 a^8 z^8-<del style="font-weight: bold; text-decoration: none;">9</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">8-22</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-<del style="font-weight: bold; text-decoration: none;">16</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^8<del style="font-weight: bold; text-decoration: none;">-</del>a^<del style="font-weight: bold; text-decoration: none;">9</del> z^<del style="font-weight: bold; text-decoration: none;">7+</del>7 a^7 z^7<del style="font-weight: bold; text-decoration: none;">+22</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">7-</del>a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7</del>-15 a z^7+<del style="font-weight: bold; text-decoration: none;">10</del> a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>+<del style="font-weight: bold; text-decoration: none;">42</del> a^6 z^<del style="font-weight: bold; text-decoration: none;">6+68</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^6+<del style="font-weight: bold; text-decoration: none;">27</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">9</del> z^6+<del style="font-weight: bold; text-decoration: none;">4</del> a^<del style="font-weight: bold; text-decoration: none;">9</del> z^<del style="font-weight: bold; text-decoration: none;">5+8</del> a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">5+</del>19 a^5 z^5+<del style="font-weight: bold; text-decoration: none;">41</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">5+22</del> a z<del style="font-weight: bold; text-decoration: none;">^5-</del>4 <del style="font-weight: bold; text-decoration: none;">z</del>^5 <del style="font-weight: bold; text-decoration: none;">a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-12</del> a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">4-44</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">53</del> a^4 z^<del style="font-weight: bold; text-decoration: none;">4-14</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^4-<del style="font-weight: bold; text-decoration: none;">z</del>^4 <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">} </del>+<del style="font-weight: bold; text-decoration: none;">6</del> <del style="font-weight: bold; text-decoration: none;">z</del>^4<del style="font-weight: bold; text-decoration: none;">-6</del> a^<del style="font-weight: bold; text-decoration: none;">9</del> z^<del style="font-weight: bold; text-decoration: none;">3-23 </del>a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>-<del style="font-weight: bold; text-decoration: none;">44</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3-</del>42 a^3 z^3-<del style="font-weight: bold; text-decoration: none;">14</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3+<del style="font-weight: bold; text-decoration: none;">z</del>^3 <del style="font-weight: bold; text-decoration: none;">a</del>^{-1} +<del style="font-weight: bold; text-decoration: none;">6</del> a^<del style="font-weight: bold; text-decoration: none;">8</del> z^<del style="font-weight: bold; text-decoration: none;">2+17</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>+<del style="font-weight: bold; text-decoration: none;">15</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;">3</del> a^2 <del style="font-weight: bold; text-decoration: none;">z</del>^2<del style="font-weight: bold; text-decoration: none;">-</del>z^2+<del style="font-weight: bold; text-decoration: none;">4 </del>a^<del style="font-weight: bold; text-decoration: none;">9 z</del>+15 a^7 z+<del style="font-weight: bold; text-decoration: none;">24</del> <del style="font-weight: bold; text-decoration: none;">a</del>^5<del style="font-weight: bold; text-decoration: none;"> z+16</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;">3</del> a z<del style="font-weight: bold; text-decoration: none;">-a</del>^<del style="font-weight: bold; text-decoration: none;">8-</del>3<del style="font-weight: bold; text-decoration: none;"> a^6</del>-<del style="font-weight: bold; text-decoration: none;">2 a^4-a^2-a^9 </del>z^<del style="font-weight: bold; text-decoration: none;">{-1} -</del>3 a<del style="font-weight: bold; text-decoration: none;">^7 z</del>^{-1} -<del style="font-weight: bold; text-decoration: none;">4</del> a<del style="font-weight: bold; text-decoration: none;">^5</del> 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;">-2 a</del>^<del style="font-weight: bold; text-decoration: none;">3 </del>z^<del style="font-weight: bold; text-decoration: none;">{-1} </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;a^<ins style="font-weight: bold; text-decoration: none;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-<ins style="font-weight: bold; text-decoration: none;">4</ins> a^<ins style="font-weight: bold; text-decoration: none;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">5+6</ins> a^<ins style="font-weight: bold; text-decoration: none;">9</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>-<ins style="font-weight: bold; text-decoration: none;">4</ins> a^<ins style="font-weight: bold; text-decoration: none;">9</ins> z<ins style="font-weight: bold; text-decoration: none;">+a</ins>^9 z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">1} +</ins>3 a^8 z^8-<ins style="font-weight: bold; text-decoration: none;">10</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+12</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">6</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z<ins style="font-weight: bold; text-decoration: none;">^2+a</ins>^8<ins style="font-weight: bold; text-decoration: none;">+4 </ins>a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">9-</ins>7 a^7 z^7<ins style="font-weight: bold; text-decoration: none;">-8</ins> a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">5+23 </ins>a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>-15 a<ins style="font-weight: bold; text-decoration: none;">^7</ins> z<ins style="font-weight: bold; text-decoration: none;">+3 a</ins>^7<ins style="font-weight: bold; text-decoration: none;"> z^{-1} </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;">{10}</ins>+<ins style="font-weight: bold; text-decoration: none;">9</ins> a^6 z^<ins style="font-weight: bold; text-decoration: none;">8-42</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^6+<ins style="font-weight: bold; text-decoration: none;">44</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">17 a^6</ins> z<ins style="font-weight: bold; text-decoration: none;">^2+3 a</ins>^6+<ins style="font-weight: bold; text-decoration: none;">13</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">9-22</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">7-</ins>19 a^5 z^5+<ins style="font-weight: bold; text-decoration: none;">44</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3-24</ins> a<ins style="font-weight: bold; text-decoration: none;">^5</ins> z<ins style="font-weight: bold; text-decoration: none;">+</ins>4 <ins style="font-weight: bold; text-decoration: none;">a</ins>^5 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+2</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}+22</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">68</ins> a^4 z^<ins style="font-weight: bold; text-decoration: none;">6+53</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^4-<ins style="font-weight: bold; text-decoration: none;">15 a</ins>^4 <ins style="font-weight: bold; text-decoration: none;">z</ins>^2+<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^4<ins style="font-weight: bold; text-decoration: none;">+9</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">9+</ins>a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-<ins style="font-weight: bold; text-decoration: none;">41</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">5+</ins>42 a^3 z^3-<ins style="font-weight: bold; text-decoration: none;">16</ins> a^3<ins style="font-weight: bold; text-decoration: none;"> z</ins>+<ins style="font-weight: bold; text-decoration: none;">2 a</ins>^3 <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-1} +<ins style="font-weight: bold; text-decoration: none;">16</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8-27</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">14</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>+<ins style="font-weight: bold; text-decoration: none;">z^4</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>2<ins style="font-weight: bold; text-decoration: none;">}</ins> <ins style="font-weight: bold; text-decoration: none;">-3 a</ins>^2<ins style="font-weight: bold; text-decoration: none;"> </ins>z^2+a^<ins style="font-weight: bold; text-decoration: none;">2</ins>+15 a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^7<ins style="font-weight: bold; text-decoration: none;">-22 a</ins> z<ins style="font-weight: bold; text-decoration: none;">^5</ins>+<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^5 a^<ins style="font-weight: bold; text-decoration: none;">{-1}</ins> +<ins style="font-weight: bold; text-decoration: none;">14</ins> a z^3-z^3 a^{-1} -<ins style="font-weight: bold; text-decoration: none;">3</ins> a<ins style="font-weight: bold; text-decoration: none;"> z+9</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">6</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">4+</ins>z^<ins style="font-weight: bold; text-decoration: none;">2</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-74710:rev-1715260:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a127/Kauffman_Polynomial&diff=74710&oldid=prev 2005-08-26T14:03:19Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-2 a^6 z^{10}-2 a^4 z^{10}-4 a^7 z^9-13 a^5 z^9-9 a^3 z^9-3 a^8 z^8-9 a^6 z^8-22 a^4 z^8-16 a^2 z^8-a^9 z^7+7 a^7 z^7+22 a^5 z^7-a^3 z^7-15 a z^7+10 a^8 z^6+42 a^6 z^6+68 a^4 z^6+27 a^2 z^6-9 z^6+4 a^9 z^5+8 a^7 z^5+19 a^5 z^5+41 a^3 z^5+22 a z^5-4 z^5 a^{-1} -12 a^8 z^4-44 a^6 z^4-53 a^4 z^4-14 a^2 z^4-z^4 a^{-2} +6 z^4-6 a^9 z^3-23 a^7 z^3-44 a^5 z^3-42 a^3 z^3-14 a z^3+z^3 a^{-1} +6 a^8 z^2+17 a^6 z^2+15 a^4 z^2+3 a^2 z^2-z^2+4 a^9 z+15 a^7 z+24 a^5 z+16 a^3 z+3 a z-a^8-3 a^6-2 a^4-a^2-a^9 z^{-1} -3 a^7 z^{-1} -4 a^5 z^{-1} -2 a^3 z^{-1} &lt;/math&gt;</div>

ScottDataRobot