https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a398%2FKauffman_Polynomial 2026-05-21T20:35:28Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a398/Kauffman_Polynomial&diff=1714506&oldid=prev 2013-02-20T20:20:25Z

<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 16:20, 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>a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">{10}+2</del> z^<del style="font-weight: bold; text-decoration: none;">{10}</del>+<del style="font-weight: bold; text-decoration: none;">7</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">9+15</del> a z^<del style="font-weight: bold; text-decoration: none;">9</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;">1</del>} +<del style="font-weight: bold; text-decoration: none;">9</del> a^<del style="font-weight: bold; text-decoration: none;">4</del> z^<del style="font-weight: bold; text-decoration: none;">8+22 a^2 </del>z^<del style="font-weight: bold; text-decoration: none;">8+11 z^8</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +<del style="font-weight: bold; text-decoration: none;">24 z^8+5 </del>a^5 z<del style="font-weight: bold; text-decoration: none;">^7</del>-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;">15</del> a z^<del style="font-weight: bold; text-decoration: none;">7</del>-<del style="font-weight: bold; text-decoration: none;">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>} +a^<del style="font-weight: bold; text-decoration: none;">6</del> z^<del style="font-weight: bold; text-decoration: none;">6</del>-<del style="font-weight: bold; text-decoration: none;">19</del> <del style="font-weight: bold; text-decoration: none;">a</del>^4 <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;">63</del> a^<del style="font-weight: bold; text-decoration: none;">2</del> z^<del style="font-weight: bold; text-decoration: none;">6-17</del> z^<del style="font-weight: bold; text-decoration: none;">6</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} +4 z<del style="font-weight: bold; text-decoration: none;">^6 a</del>^{-<del style="font-weight: bold; text-decoration: none;">4</del>} <del style="font-weight: bold; text-decoration: none;">-64 z^6-10</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;">25 </del>a^3 z^<del style="font-weight: bold; text-decoration: none;">5-19 a</del> z^<del style="font-weight: bold; text-decoration: none;">5-15 z^5</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</del>} -<del style="font-weight: bold; text-decoration: none;">10</del> z^5<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;">+</del>z^5 a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-a^6 z^4</del>+<del style="font-weight: bold; text-decoration: none;">12</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;">53 a^2 z^</del>4<del style="font-weight: bold; text-decoration: none;">+14</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>5<del style="font-weight: bold; text-decoration: none;"> z^4</del> a^<del style="font-weight: bold; text-decoration: none;">{-4} +59</del> z<del style="font-weight: bold; text-decoration: none;">^4+</del>5 a^<del style="font-weight: bold; text-decoration: none;">5</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>+<del style="font-weight: bold; text-decoration: none;">17</del> a^<del style="font-weight: bold; text-decoration: none;">3</del> z^<del style="font-weight: bold; text-decoration: none;">3</del>+<del style="font-weight: bold; text-decoration: none;">17</del> a z^<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;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">1</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;">3</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;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-4</del> a^4 z^2-18 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-<del style="font-weight: bold; text-decoration: none;">4</del>}<del style="font-weight: bold; text-decoration: none;"> -21</del> z^2<del style="font-weight: bold; text-decoration: none;">+a^5</del> <del style="font-weight: bold; text-decoration: none;">z+5</del> a^3 <del style="font-weight: bold; text-decoration: none;">z</del>+<del style="font-weight: bold; text-decoration: none;">9</del> a z+<del style="font-weight: bold; text-decoration: none;">5</del> z a^{-1} -<del style="font-weight: bold; text-decoration: none;">2</del> a^<del style="font-weight: bold; text-decoration: none;">2</del>-<del style="font-weight: bold; text-decoration: none;">3</del> a^{-<del style="font-weight: bold; text-decoration: none;">2</del>} -<del style="font-weight: bold; text-decoration: none;">4-</del>a^5 z^{-1} <del style="font-weight: bold; text-decoration: none;">-5</del> a^3 z^{-1} -9 a z^{-1} -5 a^{-1} z^{-1} +<del style="font-weight: bold; text-decoration: none;">a^4</del> z^{<del style="font-weight: bold; text-decoration: none;">-2</del>}<del style="font-weight: bold; text-decoration: none;"> </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;">2</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>^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">2}</del> z^<del style="font-weight: bold; text-decoration: none;">{-</del>2<del style="font-weight: bold; text-decoration: none;">} </del>+5 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;a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">6-a^6</ins> z^<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;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">7-10</ins> a<ins style="font-weight: bold; text-decoration: none;">^5</ins> z^<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;">5</ins> a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">3-</ins>z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} +a^5 z-a^<ins style="font-weight: bold; text-decoration: none;">5</ins> z^<ins style="font-weight: bold; text-decoration: none;">{</ins>-<ins style="font-weight: bold; text-decoration: none;">1} +9</ins> a<ins style="font-weight: bold; text-decoration: none;">^4</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">19</ins> a^<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">z^6</ins>+<ins style="font-weight: bold; text-decoration: none;">4</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;">12 </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;">5</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>-<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;">2+2</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;">a^</ins>4 z^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">+7</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">9</ins>-a^3 z^<ins style="font-weight: bold; text-decoration: none;">7+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;">25 a^3</ins> z^5-<ins style="font-weight: bold; text-decoration: none;">10</ins> z^5 a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} +<ins style="font-weight: bold; text-decoration: none;">17</ins> a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">3</ins>+4 z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">3</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins>5 a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z<ins style="font-weight: bold; text-decoration: none;">-</ins>5 a^<ins style="font-weight: bold; text-decoration: none;">3</ins> z^<ins style="font-weight: bold; text-decoration: none;">{-1} </ins>+<ins style="font-weight: bold; text-decoration: none;">2</ins> a^<ins style="font-weight: bold; text-decoration: none;">2</ins> z^<ins style="font-weight: bold; text-decoration: none;">{10}</ins>+<ins style="font-weight: bold; text-decoration: none;">22</ins> a<ins style="font-weight: bold; text-decoration: none;">^2</ins> z^<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;">8</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} <ins style="font-weight: bold; text-decoration: none;">-63</ins> <ins style="font-weight: bold; text-decoration: none;">a</ins>^<ins style="font-weight: bold; text-decoration: none;">2</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;">17</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;">+53</ins> a<ins style="font-weight: bold; text-decoration: none;">^2 z</ins>^4<ins style="font-weight: bold; text-decoration: none;">+14</ins> z^<ins style="font-weight: bold; text-decoration: none;">4 a^{-</ins>2<ins style="font-weight: bold; text-decoration: none;">} </ins>-18 a^2 z^2-5 z^2 a^{-2} +<ins style="font-weight: bold; text-decoration: none;">4 a^</ins>2 z^<ins style="font-weight: bold; text-decoration: none;">{-2} +</ins>2 a^{-<ins style="font-weight: bold; text-decoration: none;">2</ins>} z^<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;">-2</ins> a^<ins style="font-weight: bold; text-decoration: none;">2-</ins>3 <ins style="font-weight: bold; text-decoration: none;">a^{-2} </ins>+<ins style="font-weight: bold; text-decoration: none;">15</ins> a z<ins style="font-weight: bold; text-decoration: none;">^9</ins>+<ins style="font-weight: bold; text-decoration: none;">8</ins> z<ins style="font-weight: bold; text-decoration: none;">^9</ins> a^{-1} -<ins style="font-weight: bold; text-decoration: none;">15</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^<ins style="font-weight: bold; text-decoration: none;">7</ins>-<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;">19 </ins>a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^5<ins style="font-weight: bold; text-decoration: none;">-15</ins> z<ins style="font-weight: bold; text-decoration: none;">^5 a</ins>^{-1} <ins style="font-weight: bold; text-decoration: none;">+17</ins> a<ins style="font-weight: bold; text-decoration: none;"> z</ins>^3<ins style="font-weight: bold; text-decoration: none;">+10</ins> z<ins style="font-weight: bold; text-decoration: none;">^3 a^{-1} +9 a z+5 z a</ins>^{-1} -9 a z^{-1} -5 a^{-1} z^{-1} +<ins style="font-weight: bold; text-decoration: none;">2</ins> z^{<ins style="font-weight: bold; text-decoration: none;">10</ins>}+<ins style="font-weight: bold; text-decoration: none;">24</ins> <ins style="font-weight: bold; text-decoration: none;">z</ins>^<ins style="font-weight: bold; text-decoration: none;">8-64</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>+<ins style="font-weight: bold; text-decoration: none;">59</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;">21</ins> z^2+5 z^{-2} <ins style="font-weight: bold; text-decoration: none;">-4</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-77720:rev-1714506:1.13.0 --> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a398/Kauffman_Polynomial&diff=77720&oldid=prev 2005-08-26T18:09:42Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;2 a^2 z^{10}+2 z^{10}+7 a^3 z^9+15 a z^9+8 z^9 a^{-1} +9 a^4 z^8+22 a^2 z^8+11 z^8 a^{-2} +24 z^8+5 a^5 z^7-a^3 z^7-15 a z^7-z^7 a^{-1} +8 z^7 a^{-3} +a^6 z^6-19 a^4 z^6-63 a^2 z^6-17 z^6 a^{-2} +4 z^6 a^{-4} -64 z^6-10 a^5 z^5-25 a^3 z^5-19 a z^5-15 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} -a^6 z^4+12 a^4 z^4+53 a^2 z^4+14 z^4 a^{-2} -5 z^4 a^{-4} +59 z^4+5 a^5 z^3+17 a^3 z^3+17 a z^3+10 z^3 a^{-1} +4 z^3 a^{-3} -z^3 a^{-5} -4 a^4 z^2-18 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} -21 z^2+a^5 z+5 a^3 z+9 a z+5 z a^{-1} -2 a^2-3 a^{-2} -4-a^5 z^{-1} -5 a^3 z^{-1} -9 a z^{-1} -5 a^{-1} z^{-1} +a^4 z^{-2} +4 a^2 z^{-2} +2 a^{-2} z^{-2} +5 z^{-2} &lt;/math&gt;</div>

ScottDataRobot