https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a224%2FKauffman_Polynomial 2026-04-05T14:10:18Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a224/Kauffman_Polynomial&diff=1714120&oldid=prev 2013-02-20T20:12:07Z

<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 16:12, 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;">2</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;">4</del>} <del style="font-weight: bold; text-decoration: none;">-4</del> z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</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;">3</del>} <del style="font-weight: bold; text-decoration: none;">-</del>6 z^<del style="font-weight: bold; text-decoration: none;">9</del> a^{-<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;">-6</del> z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} -<del style="font-weight: bold; text-decoration: none;">8 z^8</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} <del style="font-weight: bold; text-decoration: none;">-3 z^</del>8<del style="font-weight: bold; text-decoration: none;">-a z^7+13</del> z^7 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">+32</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^<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>8 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;">+19</del> z^6 a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">26</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;">12</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;">6</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;">11</del> z^<del style="font-weight: bold; text-decoration: none;">6+4</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^5-<del style="font-weight: bold; text-decoration: none;">12</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;">-40</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;">10</del> <del style="font-weight: bold; text-decoration: none;">z</del>^5 <del style="font-weight: bold; text-decoration: none;">a</del>^{-<del style="font-weight: bold; text-decoration: none;">5</del>} +<del style="font-weight: bold; text-decoration: none;">11</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;">-3</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;">24</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;">-</del>27 z^4 a^{-4} -<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;">6</del>} +<del style="font-weight: bold; text-decoration: none;">7 z^4</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</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;">10</del>} -<del style="font-weight: bold; text-decoration: none;">11</del> z^<del style="font-weight: bold; text-decoration: none;">4-5</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3+<del style="font-weight: bold; text-decoration: none;">8</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;">+</del>37 z^3 a^{-3} +<del style="font-weight: bold; text-decoration: none;">15</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;">7</del> <del style="font-weight: bold; text-decoration: none;">z</del>^3 <del style="font-weight: bold; text-decoration: none;">a</del>^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +2 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;">14 </del>z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-2} <del style="font-weight: bold; text-decoration: none;">+18</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;">-5</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;">+</del>z^2 a^{-<del style="font-weight: bold; text-decoration: none;">10</del>} +<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">z</del>^2<del style="font-weight: bold; text-decoration: none;">+2</del> <del style="font-weight: bold; text-decoration: none;">a</del> z<del style="font-weight: bold; text-decoration: none;">-</del>9<del style="font-weight: bold; text-decoration: none;"> z</del> a^{-1} <del style="font-weight: bold; text-decoration: none;">-20</del> z<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} -9</del> z a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} -<del style="font-weight: bold; text-decoration: none;">5</del> a^<del style="font-weight: bold; text-decoration: none;">{-2}</del> <del style="font-weight: bold; text-decoration: none;">-</del>5 a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} + a^<del style="font-weight: bold; text-decoration: none;">{</del>-8<del style="font-weight: bold; text-decoration: none;">}</del> <del style="font-weight: bold; text-decoration: none;">+</del>3 a^{-1} z^{-1} <del style="font-weight: bold; text-decoration: none;">+5</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</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;">{</del>-<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> &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;">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;">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;">+</ins>6 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;">7 </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;">+5</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>8 z^7 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;">5</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;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>8 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;">-12</ins> z^6 a^{-<ins style="font-weight: bold; text-decoration: none;">6</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;">6</ins>} +<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;">10</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>5<ins style="font-weight: bold; text-decoration: none;">} </ins>-<ins style="font-weight: bold; text-decoration: none;">15</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;">+9</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>5<ins style="font-weight: bold; text-decoration: none;">}</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;">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;">+6</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;">26</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;">+</ins>27 z^4 a^{-4} -<ins style="font-weight: bold; text-decoration: none;">18</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;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</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;">3</ins>} -<ins style="font-weight: bold; text-decoration: none;">32</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins> a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3<ins style="font-weight: bold; text-decoration: none;">} </ins>+<ins style="font-weight: bold; text-decoration: none;">40</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;">-</ins>37 z^3 a^{-3} +<ins style="font-weight: bold; text-decoration: none;">20</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-</ins>3<ins style="font-weight: bold; text-decoration: none;">}</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +2 z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-2} <ins style="font-weight: bold; text-decoration: none;">-19</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</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;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">-14 </ins>z^2 a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">5</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<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;">+4</ins> z<ins style="font-weight: bold; text-decoration: none;">^</ins>9 a^{-1} <ins style="font-weight: bold; text-decoration: none;">+a</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-<ins style="font-weight: bold; text-decoration: none;">13</ins> z<ins style="font-weight: bold; text-decoration: none;">^7</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} -<ins style="font-weight: bold; text-decoration: none;">4</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">5+12</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;">5</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">3</ins>-8 <ins style="font-weight: bold; text-decoration: none;">z^</ins>3 a^{-1}<ins style="font-weight: bold; text-decoration: none;"> -2 a</ins> z<ins style="font-weight: bold; text-decoration: none;">+9 z a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">-3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} z^{-1} +<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;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">11</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+11 z^4</ins>-<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">z^2</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a224/Kauffman_Polynomial&diff=75560&oldid=prev 2005-08-26T14:56:24Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-2 z^{10} a^{-2} -2 z^{10} a^{-4} -4 z^9 a^{-1} -10 z^9 a^{-3} -6 z^9 a^{-5} -z^8 a^{-2} -6 z^8 a^{-4} -8 z^8 a^{-6} -3 z^8-a z^7+13 z^7 a^{-1} +32 z^7 a^{-3} +10 z^7 a^{-5} -8 z^7 a^{-7} +19 z^6 a^{-2} +26 z^6 a^{-4} +12 z^6 a^{-6} -6 z^6 a^{-8} +11 z^6+4 a z^5-12 z^5 a^{-1} -40 z^5 a^{-3} -10 z^5 a^{-5} +11 z^5 a^{-7} -3 z^5 a^{-9} -24 z^4 a^{-2} -27 z^4 a^{-4} -6 z^4 a^{-6} +7 z^4 a^{-8} -z^4 a^{-10} -11 z^4-5 a z^3+8 z^3 a^{-1} +37 z^3 a^{-3} +15 z^3 a^{-5} -7 z^3 a^{-7} +2 z^3 a^{-9} +14 z^2 a^{-2} +18 z^2 a^{-4} -5 z^2 a^{-8} +z^2 a^{-10} +2 z^2+2 a z-9 z a^{-1} -20 z a^{-3} -9 z a^{-5} -5 a^{-2} -5 a^{-4} + a^{-8} +3 a^{-1} z^{-1} +5 a^{-3} z^{-1} +2 a^{-5} z^{-1} &lt;/math&gt;</div>

ScottDataRobot