https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a63%2FKauffman_Polynomial 2026-04-05T13:48:01Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a63/Kauffman_Polynomial&diff=1715431&oldid=prev 2013-02-20T20:40:16Z

<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 16:40, 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;">{10}</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-</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;">3 </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;">-8</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;">5</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;">-10</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;">17 z^8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">-10</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;">3</del> z^<del style="font-weight: bold; text-decoration: none;">8-a z^7+4 z^7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +<del style="font-weight: bold; text-decoration: none;">8</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;">9</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;">-12 z^7</del> a^{-7}<del style="font-weight: bold; text-decoration: none;"> +40</del> z<del style="font-weight: bold; text-decoration: none;">^6 a</del>^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">46</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;">+</del>8 z^6 a^{-6} -<del style="font-weight: bold; text-decoration: none;">9</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>^<del style="font-weight: bold; text-decoration: none;">5</del>+<del style="font-weight: bold; text-decoration: none;">13</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;">28</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>39 z^5 a^{-5} +<del style="font-weight: bold; text-decoration: none;">16</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> z^5 a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} -<del style="font-weight: bold; text-decoration: none;">41</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;">-31</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-4} <del style="font-weight: bold; text-decoration: none;">+7</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;">9</del> z^4 a^{-<del style="font-weight: bold; text-decoration: none;">8</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;">-13</del> z^<del style="font-weight: bold; text-decoration: none;">4-6</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3-<del style="font-weight: bold; text-decoration: none;">26</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;">41</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-3} <del style="font-weight: bold; text-decoration: none;">-31</del> z^3 a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} -<del style="font-weight: bold; text-decoration: none;">9</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;">z^</del>3 a^{-<del style="font-weight: bold; text-decoration: none;">9</del>}<del style="font-weight: bold; text-decoration: none;"> +13</del> z<del style="font-weight: bold; text-decoration: none;">^2 a</del>^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<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;">-5</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;">4</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;">5</del> z^<del style="font-weight: bold; text-decoration: none;">2+</del>4 a <del style="font-weight: bold; text-decoration: none;">z+</del>13 z a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} +<del style="font-weight: bold; text-decoration: none;">18 z</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} +<del style="font-weight: bold; text-decoration: none;">12</del> z a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} +<del style="font-weight: bold; text-decoration: none;">3</del> z a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} -<del style="font-weight: bold; text-decoration: none;">2</del> a^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">2}</del> <del style="font-weight: bold; text-decoration: none;">+2</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} + a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} -a 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</del> a^{-1} z^{-1} <del style="font-weight: bold; text-decoration: none;">-3</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} 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;">5}</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;">7}</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;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">10</ins>} <ins style="font-weight: bold; text-decoration: none;">+4 </ins>z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<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;">9</ins>} <ins style="font-weight: bold; text-decoration: none;">+9</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;">9</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;">+4</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;">+12</ins> 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;">16</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;">3</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins> a^{-7} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">10</ins> 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;">-</ins>8 z^6 a^{-6} -<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;">6</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;">^{-6}</ins> <ins style="font-weight: bold; text-decoration: none;">-2 a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-6} </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;">5</ins>} +<ins style="font-weight: bold; text-decoration: none;">9</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>39 z^5 a^{-5} +<ins style="font-weight: bold; text-decoration: none;">31</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;">12</ins> z<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;">} +3</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> <ins style="font-weight: bold; text-decoration: none;">+</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;">+17</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-4} <ins style="font-weight: bold; text-decoration: none;">-46</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;">31</ins> z^4 a^{-<ins style="font-weight: bold; text-decoration: none;">4</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;">+8</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</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;">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;">28</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-3} <ins style="font-weight: bold; text-decoration: none;">+41</ins> z^3 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} -<ins style="font-weight: bold; text-decoration: none;">18</ins> z a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +3 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">+10</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<ins style="font-weight: bold; text-decoration: none;">40</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;">41</ins> z^4 a<ins style="font-weight: bold; text-decoration: none;">^{-2}</ins> <ins style="font-weight: bold; text-decoration: none;">-</ins>13 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;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +<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;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">a</ins> z<ins style="font-weight: bold; text-decoration: none;">^7-4 z^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</ins>-<ins style="font-weight: bold; text-decoration: none;">13</ins> <ins style="font-weight: bold; text-decoration: none;">z^5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">6 a z^3+26 z^3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} -<ins style="font-weight: bold; text-decoration: none;">4 </ins>a z-<ins style="font-weight: bold; text-decoration: none;">13</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins> a^{-1}<ins style="font-weight: bold; text-decoration: none;"> +a</ins> z^{-1} <ins style="font-weight: bold; text-decoration: none;">+2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} 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;">11</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+13</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;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">2</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a63/Kauffman_Polynomial&diff=74098&oldid=prev 2005-08-26T13:27:53Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-z^{10} a^{-2} -z^{10} a^{-4} -3 z^9 a^{-1} -8 z^9 a^{-3} -5 z^9 a^{-5} -10 z^8 a^{-2} -17 z^8 a^{-4} -10 z^8 a^{-6} -3 z^8-a z^7+4 z^7 a^{-1} +8 z^7 a^{-3} -9 z^7 a^{-5} -12 z^7 a^{-7} +40 z^6 a^{-2} +46 z^6 a^{-4} +8 z^6 a^{-6} -9 z^6 a^{-8} +11 z^6+4 a z^5+13 z^5 a^{-1} +28 z^5 a^{-3} +39 z^5 a^{-5} +16 z^5 a^{-7} -4 z^5 a^{-9} -41 z^4 a^{-2} -31 z^4 a^{-4} +7 z^4 a^{-6} +9 z^4 a^{-8} -z^4 a^{-10} -13 z^4-6 a z^3-26 z^3 a^{-1} -41 z^3 a^{-3} -31 z^3 a^{-5} -9 z^3 a^{-7} +z^3 a^{-9} +13 z^2 a^{-2} +7 z^2 a^{-4} -5 z^2 a^{-6} -4 z^2 a^{-8} +5 z^2+4 a z+13 z a^{-1} +18 z a^{-3} +12 z a^{-5} +3 z a^{-7} -2 a^{-2} +2 a^{-6} + a^{-8} -a z^{-1} -2 a^{-1} z^{-1} -3 a^{-3} z^{-1} -3 a^{-5} z^{-1} - a^{-7} z^{-1} &lt;/math&gt;</div>

ScottDataRobot