https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11n33%2FKauffman_Polynomial 2026-05-15T23:43:39Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11n33/Kauffman_Polynomial&diff=1716702&oldid=prev 2013-02-20T21:07:05Z

<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 17:07, 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>} -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;">-a^2</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-4 z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -2 z^8 a^{-4} <del style="font-weight: bold; text-decoration: none;">-3</del> z^<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;">a</del>^<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;">7</del>-<del style="font-weight: bold; text-decoration: none;">3</del> a z^<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;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +2 <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;">a</del>^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">3}</del> <del style="font-weight: bold; text-decoration: none;">-</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;">-</del>a^4 z^<del style="font-weight: bold; text-decoration: none;">6+5</del> a^2 <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">6+23</del> z^<del style="font-weight: bold; text-decoration: none;">6 a^{</del>-2<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;">+19 z^6+</del>10 a^3 z^5<del style="font-weight: bold; text-decoration: none;">+21 a z^5+17</del> z^5 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +11 z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-3} <del style="font-weight: bold; text-decoration: none;">+</del>5 <del style="font-weight: bold; text-decoration: none;">z</del>^<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;">4</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">3</del> a^2 z^4<del style="font-weight: bold; text-decoration: none;">-34</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-2} -<del style="font-weight: bold; text-decoration: none;">13 z^4</del> a^<del style="font-weight: bold; text-decoration: none;">{-4} -28</del> z^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">11 a^3</del> z^<del style="font-weight: bold; text-decoration: none;">3-34</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;">40</del> <del style="font-weight: bold; text-decoration: none;">z^</del>3 a^<del style="font-weight: bold; text-decoration: none;">{-1}</del> <del style="font-weight: bold; text-decoration: none;">-24</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;">7</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;">-2 </del>a<del style="font-weight: bold; text-decoration: none;">^4 z</del>^2+<del style="font-weight: bold; text-decoration: none;">17 z^2</del> a^{-2} +<del style="font-weight: bold; text-decoration: none;">7 </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;">12</del> z^2<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;">z+17</del> a z<del style="font-weight: bold; text-decoration: none;">+24</del> z a^{-1} +<del style="font-weight: bold; text-decoration: none;">16 z</del> a^<del style="font-weight: bold; text-decoration: none;">{-</del>3<del style="font-weight: bold; text-decoration: none;">} </del>+<del style="font-weight: bold; text-decoration: none;">4</del> z a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} -<del style="font-weight: bold; text-decoration: none;">a^2-3</del> a<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;">-2-</del>2 a z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>4 a^{-1} z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>3 <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;">3}</del> z^<del style="font-weight: bold; text-decoration: none;">{-1}</del> <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;">5}</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;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;">5 </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;">+7</ins> z^<ins style="font-weight: bold; text-decoration: none;">3 a^{-5} </ins>-4 z<ins style="font-weight: bold; text-decoration: none;"> a</ins>^<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;">z^{</ins>-<ins style="font-weight: bold; text-decoration: none;">1} +</ins>2 z^8 a^{-4} <ins style="font-weight: bold; text-decoration: none;">+a^4</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">10</ins> <ins style="font-weight: bold; text-decoration: none;">z</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;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">4} -4</ins> a<ins style="font-weight: bold; text-decoration: none;">^4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins>+<ins style="font-weight: bold; text-decoration: none;">13</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} +2 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<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;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">+ </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>4<ins style="font-weight: bold; text-decoration: none;">}</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>2 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-2 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;">-</ins>10 a^3 z^5<ins style="font-weight: bold; text-decoration: none;">-11</ins> z^5 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +11<ins style="font-weight: bold; text-decoration: none;"> a^3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3+24 z^3</ins> a^{-3} <ins style="font-weight: bold; text-decoration: none;">-</ins>5 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">3 z-16 z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +<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;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">1}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>a^2 z^<ins style="font-weight: bold; text-decoration: none;">8+</ins>4 z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-2} -<ins style="font-weight: bold; text-decoration: none;">5</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;">23</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">2}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>3 a^<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">z^4+34</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;">17</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</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;">3</ins> a^{-2} +z^<ins style="font-weight: bold; text-decoration: none;">9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">3 a</ins> z^<ins style="font-weight: bold; text-decoration: none;">7-</ins>2<ins style="font-weight: bold; text-decoration: none;"> z^7</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-1}</ins> <ins style="font-weight: bold; text-decoration: none;">-21</ins> a z<ins style="font-weight: bold; text-decoration: none;">^5-17</ins> z<ins style="font-weight: bold; text-decoration: none;">^5</ins> a^{-1} +<ins style="font-weight: bold; text-decoration: none;">34</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^3+<ins style="font-weight: bold; text-decoration: none;">40</ins> z<ins style="font-weight: bold; text-decoration: none;">^3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} -<ins style="font-weight: bold; text-decoration: none;">17</ins> a <ins style="font-weight: bold; text-decoration: none;">z</ins>-<ins style="font-weight: bold; text-decoration: none;">24 z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>2 a z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>4 a^{-1} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>3 <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">19</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+28</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">4</ins>-<ins style="font-weight: bold; text-decoration: none;">12</ins> z^<ins style="font-weight: bold; text-decoration: none;">2+2</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-82303:rev-1716702:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11n33/Kauffman_Polynomial&diff=82303&oldid=prev 2005-08-26T19:50:09Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-z^9 a^{-1} -z^9 a^{-3} -a^2 z^8-4 z^8 a^{-2} -2 z^8 a^{-4} -3 z^8-2 a^3 z^7-3 a z^7+2 z^7 a^{-1} +2 z^7 a^{-3} -z^7 a^{-5} -a^4 z^6+5 a^2 z^6+23 z^6 a^{-2} +10 z^6 a^{-4} +19 z^6+10 a^3 z^5+21 a z^5+17 z^5 a^{-1} +11 z^5 a^{-3} +5 z^5 a^{-5} +4 a^4 z^4-3 a^2 z^4-34 z^4 a^{-2} -13 z^4 a^{-4} -28 z^4-11 a^3 z^3-34 a z^3-40 z^3 a^{-1} -24 z^3 a^{-3} -7 z^3 a^{-5} -2 a^4 z^2+17 z^2 a^{-2} +7 z^2 a^{-4} +12 z^2+5 a^3 z+17 a z+24 z a^{-1} +16 z a^{-3} +4 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2-2 a z^{-1} -4 a^{-1} z^{-1} -3 a^{-3} z^{-1} - a^{-5} z^{-1} &lt;/math&gt;</div>

ScottDataRobot