https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a500%2FKauffman_Polynomial 2026-08-07T10:49:46Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a500/Kauffman_Polynomial&diff=1717684&oldid=prev 2013-02-20T21:27:54Z

<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 17:27, 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;">+5</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;">14</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;">+9</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;">16</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;">+25</del> z^<del style="font-weight: bold; text-decoration: none;">8</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} +15 z^8 a^{-6} <del style="font-weight: bold; text-decoration: none;">+6</del> z^<del style="font-weight: bold; text-decoration: none;">8+3</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">7</del>+z^<del style="font-weight: bold; text-decoration: none;">7</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">11</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;">+3 z^7</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>}<del style="font-weight: bold; text-decoration: none;"> +12</del> z<del style="font-weight: bold; text-decoration: none;">^7 a</del>^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +<del style="font-weight: bold; text-decoration: none;">a^</del>2 <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">47</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;">-60</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;">23</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;">5</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;">14</del> z<del style="font-weight: bold; text-decoration: none;">^6-6</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^5<del style="font-weight: bold; text-decoration: none;">-24</del> <del style="font-weight: bold; text-decoration: none;">z^</del>5 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">31</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;">-30</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;">16</del> z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</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;">3</del> <del style="font-weight: bold; text-decoration: none;">a</del>^2 <del style="font-weight: bold; text-decoration: none;">z</del>^4<del style="font-weight: bold; text-decoration: none;">+53</del> <del style="font-weight: bold; text-decoration: none;">z^</del>4 a^{-<del style="font-weight: bold; text-decoration: none;">2</del>}<del style="font-weight: bold; text-decoration: none;"> +47</del> z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-4} +<del style="font-weight: bold; text-decoration: none;">11</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;">3</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;">+17</del> z^<del style="font-weight: bold; text-decoration: none;">4+3</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^3+<del style="font-weight: bold; text-decoration: none;">34</del> z^3 a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} <del style="font-weight: bold; text-decoration: none;">+52</del> z^3 a^{-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;">5</del>} +<del style="font-weight: bold; text-decoration: none;">5</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;">3 </del>a^2 z^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">40</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-2} -<del style="font-weight: bold; text-decoration: none;">25</del> <del style="font-weight: bold; text-decoration: none;">z</del>^2 <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">{-4} -</del>4 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;">-16</del> <del style="font-weight: bold; text-decoration: none;">z</del>^2<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;">1} -33</del> z a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} -<del style="font-weight: bold; text-decoration: none;">15 z</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>}<del style="font-weight: bold; text-decoration: none;"> -2</del> z<del style="font-weight: bold; text-decoration: none;"> a</del>^{-<del style="font-weight: bold; text-decoration: none;">7</del>} -a^2+21 a^{-2} +<del style="font-weight: bold; text-decoration: none;">14</del> a^{-<del style="font-weight: bold; text-decoration: none;">4</del>} +<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;">9+5</del> a^{-1} <del style="font-weight: bold; text-decoration: none;">z^{</del>-<del style="font-weight: bold; text-decoration: none;">1}</del> <del style="font-weight: bold; text-decoration: none;">+9</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> z^{-1} +<del style="font-weight: bold; text-decoration: none;">5</del> a^<del style="font-weight: bold; text-decoration: none;">{-5}</del> z^<del style="font-weight: bold; text-decoration: none;">{-1} +</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>5 a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} z^{-<del style="font-weight: bold; text-decoration: none;">2</del>} <del style="font-weight: bold; text-decoration: none;">-4</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;">4}</del> z^<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;">6}</del> z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">} </del>-2 z^{-2} &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;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">9</ins>} +<ins style="font-weight: bold; text-decoration: none;">5</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;">-3</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;">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;">5</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;">-2</ins> z<ins style="font-weight: bold; text-decoration: none;"> a</ins>^<ins style="font-weight: bold; text-decoration: none;">{-7} +</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7} z^{-1</ins>} +15 z^8 a^{-6} <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;">{-6} </ins>+<ins style="font-weight: bold; text-decoration: none;">11 </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;">4</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;">-</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +2 <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;">6} +9</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;">+3</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;">30</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;">26</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;">15</ins> z 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;">+</ins>5 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} +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;">+25</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;">60</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;">47 </ins>z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} -<ins style="font-weight: bold; text-decoration: none;">25</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^2 <ins style="font-weight: bold; text-decoration: none;">a</ins>^<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>4 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} z^<ins style="font-weight: bold; text-decoration: none;">{-2} +14</ins> a^{-4} +<ins style="font-weight: bold; text-decoration: none;">14</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;">11</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;">-31</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</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;">52</ins> z^3 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">-33</ins> z<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;">} +9</ins> a^{-3<ins style="font-weight: bold; text-decoration: none;">} z^{-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;">2</ins>} +<ins style="font-weight: bold; text-decoration: none;">16</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} +a^2 z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">47</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-2} -<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^2 <ins style="font-weight: bold; text-decoration: none;">z</ins>^4<ins style="font-weight: bold; text-decoration: none;">+53</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;">+3</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^2 z^<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;">^2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} -<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;">2</ins>} -a^2+21 a^{-2} +<ins style="font-weight: bold; text-decoration: none;">5 z^9</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +<ins style="font-weight: bold; text-decoration: none;">3</ins> a <ins style="font-weight: bold; text-decoration: none;">z^7</ins>+<ins style="font-weight: bold; text-decoration: none;">z^7</ins> a^{-1} -<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;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">5</ins>-<ins style="font-weight: bold; text-decoration: none;">24</ins> z<ins style="font-weight: bold; text-decoration: none;">^5 a</ins>^{-1} +<ins style="font-weight: bold; text-decoration: none;">3</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">3+34</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;"> -20</ins> z<ins style="font-weight: bold; text-decoration: none;"> a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>5 a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} z^{-<ins style="font-weight: bold; text-decoration: none;">1</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;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">14</ins> z^<ins style="font-weight: bold; text-decoration: none;">6+17</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;">16</ins> z^2-2 z^{-2} <ins style="font-weight: bold; text-decoration: none;">+9</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a500/Kauffman_Polynomial&diff=80845&oldid=prev 2005-08-26T19:00:22Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;2 z^{10} a^{-2} +2 z^{10} a^{-4} +5 z^9 a^{-1} +14 z^9 a^{-3} +9 z^9 a^{-5} +16 z^8 a^{-2} +25 z^8 a^{-4} +15 z^8 a^{-6} +6 z^8+3 a z^7+z^7 a^{-1} -11 z^7 a^{-3} +3 z^7 a^{-5} +12 z^7 a^{-7} +a^2 z^6-47 z^6 a^{-2} -60 z^6 a^{-4} -23 z^6 a^{-6} +5 z^6 a^{-8} -14 z^6-6 a z^5-24 z^5 a^{-1} -31 z^5 a^{-3} -30 z^5 a^{-5} -16 z^5 a^{-7} +z^5 a^{-9} -3 a^2 z^4+53 z^4 a^{-2} +47 z^4 a^{-4} +11 z^4 a^{-6} -3 z^4 a^{-8} +17 z^4+3 a z^3+34 z^3 a^{-1} +52 z^3 a^{-3} +26 z^3 a^{-5} +5 z^3 a^{-7} +3 a^2 z^2-40 z^2 a^{-2} -25 z^2 a^{-4} -4 z^2 a^{-6} -16 z^2-20 z a^{-1} -33 z a^{-3} -15 z a^{-5} -2 z a^{-7} -a^2+21 a^{-2} +14 a^{-4} +2 a^{-6} +9+5 a^{-1} z^{-1} +9 a^{-3} z^{-1} +5 a^{-5} z^{-1} + a^{-7} z^{-1} -5 a^{-2} z^{-2} -4 a^{-4} z^{-2} - a^{-6} z^{-2} -2 z^{-2} &lt;/math&gt;</div>

ScottDataRobot