https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a159%2FKauffman_Polynomial 2026-04-05T09:29:35Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a159/Kauffman_Polynomial&diff=1714768&oldid=prev 2013-02-20T20:26:04Z

<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 16:26, 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>a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">{10}</del>-<del style="font-weight: bold; text-decoration: none;">z^{10}-5 </del>a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9-9</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">9-4</del> z^<del style="font-weight: bold; text-decoration: none;">9 a^{</del>-<del style="font-weight: bold; text-decoration: none;">1} -9</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">8-20 </del>a^<del style="font-weight: bold; text-decoration: none;">2 z^8-</del>6 z^8 a^<del style="font-weight: bold; text-decoration: none;">{-2} -17</del> z^<del style="font-weight: bold; text-decoration: none;">8</del>-<del style="font-weight: bold; text-decoration: none;">8</del> a^5 z^<del style="font-weight: bold; text-decoration: none;">7-</del>9 a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">2</del> a z^<del style="font-weight: bold; text-decoration: none;">7-</del>5 z<del style="font-weight: bold; text-decoration: none;">^7 a</del>^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>4 z^<del style="font-weight: bold; text-decoration: none;">7</del> a^<del style="font-weight: bold; text-decoration: none;">{-3} -</del>4 <del style="font-weight: bold; text-decoration: none;">a</del>^6<del style="font-weight: bold; text-decoration: none;"> </del>z^6<del style="font-weight: bold; text-decoration: none;">+12</del> a^4 <del style="font-weight: bold; text-decoration: none;">z^</del>6<del style="font-weight: bold; text-decoration: none;">+46</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">6+12</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-4} +<del style="font-weight: bold; text-decoration: none;">43</del> <del style="font-weight: bold; text-decoration: none;">z^6-</del>a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">5</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;">5</del>+<del style="font-weight: bold; text-decoration: none;">36</del> a^3 <del style="font-weight: bold; text-decoration: none;">z^5+43</del> a<del style="font-weight: bold; text-decoration: none;"> z</del>^<del style="font-weight: bold; text-decoration: none;">5+31</del> z^5<del style="font-weight: bold; text-decoration: none;"> a^{</del>-<del style="font-weight: bold; text-decoration: none;">1} +</del>10 z^5 a^{-3} +<del style="font-weight: bold; text-decoration: none;">5</del> a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">4-6</del> <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">z</del>^<del style="font-weight: bold; text-decoration: none;">4</del>-<del style="font-weight: bold; text-decoration: none;">35</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z<del style="font-weight: bold; text-decoration: none;">^4</del>-<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;">2</del>} +2 <del style="font-weight: bold; text-decoration: none;">z</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;">4</del>} <del style="font-weight: bold; text-decoration: none;">-32 z^4</del>+a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">3-9</del> a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3-36 a^3</del> z^<del style="font-weight: bold; text-decoration: none;">3-48</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;">30</del> <del style="font-weight: bold; text-decoration: none;">z^3</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;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">-</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;">2</del> <del style="font-weight: bold; text-decoration: none;">a</del>^4 <del style="font-weight: bold; text-decoration: none;">z</del>^2<del style="font-weight: bold; text-decoration: none;">+</del>10 a^2 z^2<del style="font-weight: bold; text-decoration: none;">+</del>z^2 a^{-2} <del style="font-weight: bold; text-decoration: none;">-z</del>^2 a<del style="font-weight: bold; text-decoration: none;">^{-4} +9</del> z^<del style="font-weight: bold; text-decoration: none;">2</del>+4 <del style="font-weight: bold; text-decoration: none;">a</del>^<del style="font-weight: bold; text-decoration: none;">5 z+14</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;">18</del> a z+<del style="font-weight: bold; text-decoration: none;">10</del> z a^{-1} <del style="font-weight: bold; text-decoration: none;">+2</del> z a^{-<del style="font-weight: bold; text-decoration: none;">3</del>} <del style="font-weight: bold; text-decoration: none;">-</del>a^<del style="font-weight: bold; text-decoration: none;">2-a^5</del> z^{-1} -<del style="font-weight: bold; text-decoration: none;">2</del> a<del style="font-weight: bold; text-decoration: none;">^3</del> z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del>2 a z^{-1} <del style="font-weight: bold; text-decoration: none;">-</del> a^{-1} z^{-1} &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;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins>-a^<ins style="font-weight: bold; text-decoration: none;">7</ins> z^<ins style="font-weight: bold; text-decoration: none;">3+4</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">4+</ins>a^6 z^<ins style="font-weight: bold; text-decoration: none;">2+</ins>8 a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">7</ins>-<ins style="font-weight: bold; text-decoration: none;">13</ins> a^5 z^<ins style="font-weight: bold; text-decoration: none;">5+</ins>9 a^<ins style="font-weight: bold; text-decoration: none;">5</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;">^5</ins> z<ins style="font-weight: bold; text-decoration: none;">+a</ins>^5 z^{-1} <ins style="font-weight: bold; text-decoration: none;">+9 a^</ins>4 z^<ins style="font-weight: bold; text-decoration: none;">8-12</ins> a^4 <ins style="font-weight: bold; text-decoration: none;">z</ins>^6<ins style="font-weight: bold; text-decoration: none;">+</ins>z^6 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>6 a^<ins style="font-weight: bold; text-decoration: none;">4</ins> z^<ins style="font-weight: bold; text-decoration: none;">4-2</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;">2 a^4 </ins>z^<ins style="font-weight: bold; text-decoration: none;">2+z^2</ins> a^{-4} +<ins style="font-weight: bold; text-decoration: none;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>+<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;">4 z^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;">-36</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^5-10 z^5 a^{-3} +<ins style="font-weight: bold; text-decoration: none;">36</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3+8</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">3</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;">3} -14</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z-<ins style="font-weight: bold; text-decoration: none;">2</ins> z 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> <ins style="font-weight: bold; text-decoration: none;">z</ins>^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} +a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}+20</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">8+6</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</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;">-46</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">z^6</ins>-<ins style="font-weight: bold; text-decoration: none;">12</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;">+35 </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;">6</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^4 <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>10 a^2 z^2<ins style="font-weight: bold; text-decoration: none;">-</ins>z^2 a^{-2} <ins style="font-weight: bold; text-decoration: none;">+a</ins>^2<ins style="font-weight: bold; text-decoration: none;">+9</ins> a z^<ins style="font-weight: bold; text-decoration: none;">9</ins>+4 <ins style="font-weight: bold; text-decoration: none;">z</ins>^<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;">2</ins> a z<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;">^7</ins> a^{-1} <ins style="font-weight: bold; text-decoration: none;">-43 a</ins> z<ins style="font-weight: bold; text-decoration: none;">^5-31 z^5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">1</ins>} <ins style="font-weight: bold; text-decoration: none;">+48 </ins>a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">3+30</ins> z<ins style="font-weight: bold; text-decoration: none;">^3 a</ins>^{-1} -<ins style="font-weight: bold; text-decoration: none;">18</ins> a z<ins style="font-weight: bold; text-decoration: none;">-10 z a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins>2 a z^{-1} <ins style="font-weight: bold; text-decoration: none;">+</ins> a^{-1} z^{-1} <ins style="font-weight: bold; text-decoration: none;">+z^{10}+17 z^8-43 z^6+32 z^4-9 z^2</ins>&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a159/Kauffman_Polynomial&diff=75025&oldid=prev 2005-08-26T14:22:06Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-a^2 z^{10}-z^{10}-5 a^3 z^9-9 a z^9-4 z^9 a^{-1} -9 a^4 z^8-20 a^2 z^8-6 z^8 a^{-2} -17 z^8-8 a^5 z^7-9 a^3 z^7-2 a z^7-5 z^7 a^{-1} -4 z^7 a^{-3} -4 a^6 z^6+12 a^4 z^6+46 a^2 z^6+12 z^6 a^{-2} -z^6 a^{-4} +43 z^6-a^7 z^5+13 a^5 z^5+36 a^3 z^5+43 a z^5+31 z^5 a^{-1} +10 z^5 a^{-3} +5 a^6 z^4-6 a^4 z^4-35 a^2 z^4-6 z^4 a^{-2} +2 z^4 a^{-4} -32 z^4+a^7 z^3-9 a^5 z^3-36 a^3 z^3-48 a z^3-30 z^3 a^{-1} -8 z^3 a^{-3} -a^6 z^2+2 a^4 z^2+10 a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +9 z^2+4 a^5 z+14 a^3 z+18 a z+10 z a^{-1} +2 z a^{-3} -a^2-a^5 z^{-1} -2 a^3 z^{-1} -2 a z^{-1} - a^{-1} z^{-1} &lt;/math&gt;</div>

ScottDataRobot