https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL11a547%2FKauffman_Polynomial 2026-06-04T23:46:55Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L11a547/Kauffman_Polynomial&diff=1718799&oldid=prev 2013-02-20T21:51:18Z

<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 17:51, 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^6 a^{16}<del style="font-weight: bold; text-decoration: none;">+2</del> z^4<del style="font-weight: bold; text-decoration: none;"> </del>a^{16}<del style="font-weight: bold; text-decoration: none;">-</del>z^2 a^{<del style="font-weight: bold; text-decoration: none;">16</del>}<del style="font-weight: bold; text-decoration: none;">-4</del> z^7 a^{15}<del style="font-weight: bold; text-decoration: none;">+9</del> z^5 a^{15}<del style="font-weight: bold; text-decoration: none;">-8</del> z^3 a^{15}<del style="font-weight: bold; text-decoration: none;">+3</del> z a^{<del style="font-weight: bold; text-decoration: none;">15</del>}<del style="font-weight: bold; text-decoration: none;">-7</del> z^8 a^{14}<del style="font-weight: bold; text-decoration: none;">+13</del> z^6 a^{14}<del style="font-weight: bold; text-decoration: none;">-6</del> z^4<del style="font-weight: bold; text-decoration: none;"> </del>a^{14}<del style="font-weight: bold; text-decoration: none;">-</del>z^2 a^{<del style="font-weight: bold; text-decoration: none;">14</del>}<del style="font-weight: bold; text-decoration: none;">-6</del> z^9 a^{13}<del style="font-weight: bold; text-decoration: none;">+23</del> z^5 a^{13}<del style="font-weight: bold; text-decoration: none;">-25</del> z^3<del style="font-weight: bold; text-decoration: none;"> </del>a^{13}<del style="font-weight: bold; text-decoration: none;">+12</del> z a^{13}<del style="font-weight: bold; text-decoration: none;">-</del>5 a^{13} z^{-1} +a^{<del style="font-weight: bold; text-decoration: none;">13</del>}<del style="font-weight: bold; text-decoration: none;"> z^{-3} -2</del> z^{10} a^{12}<del style="font-weight: bold; text-decoration: none;">-18</del> z^8 a^{12}<del style="font-weight: bold; text-decoration: none;">+45</del> z^6 a^{12}<del style="font-weight: bold; text-decoration: none;">-26</del> z^4 a^{12}<del style="font-weight: bold; text-decoration: none;">-3</del> z^2<del style="font-weight: bold; text-decoration: none;"> a^{12}-</del>3 a^{12} z^{-2} <del style="font-weight: bold; text-decoration: none;">+</del>10 a^{12}<del style="font-weight: bold; text-decoration: none;">-</del>14 z^9 a^{11}<del style="font-weight: bold; text-decoration: none;">+10</del> z^7 a^{11}<del style="font-weight: bold; text-decoration: none;">+26</del> z^5 a^{11}<del style="font-weight: bold; text-decoration: none;">-31</del> z^3 a^{11}<del style="font-weight: bold; text-decoration: none;">+21</del> z a^{11}<del style="font-weight: bold; text-decoration: none;">-</del>12 a^{11} z^{-1} +<del style="font-weight: bold; text-decoration: none;">3</del> a^{<del style="font-weight: bold; text-decoration: none;">11</del>}<del style="font-weight: bold; text-decoration: none;"> z^{-3} -2</del> z^{10} a^{10}<del style="font-weight: bold; text-decoration: none;">-23</del> z^8 a^{10}<del style="font-weight: bold; text-decoration: none;">+50</del> z^6 a^{10}<del style="font-weight: bold; text-decoration: none;">-22</del> z^4 a^{10}<del style="font-weight: bold; text-decoration: none;">-15</del> z^2<del style="font-weight: bold; text-decoration: none;"> a^{10}-</del>6 a^{10} z^{-2} <del style="font-weight: bold; text-decoration: none;">+</del>19 a^{10}<del style="font-weight: bold; text-decoration: none;">-</del>8 z^9 a^9<del style="font-weight: bold; text-decoration: none;">-4</del> z^7 a^9<del style="font-weight: bold; text-decoration: none;">+30</del> z^5 a^9<del style="font-weight: bold; text-decoration: none;">-32</del> z^3 a^9<del style="font-weight: bold; text-decoration: none;">+23</del> z a^9<del style="font-weight: bold; text-decoration: none;">-</del>12 a^9 z^{-1} +<del style="font-weight: bold; text-decoration: none;">3</del> a^<del style="font-weight: bold; text-decoration: none;">9</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-<del style="font-weight: bold; text-decoration: none;">3} -12 z^8</del> a^8<del style="font-weight: bold; text-decoration: none;">+15</del> z^6<del style="font-weight: bold; text-decoration: none;"> </del>a^8<del style="font-weight: bold; text-decoration: none;">-</del>z^4 a^8<del style="font-weight: bold; text-decoration: none;">-12</del> z^2<del style="font-weight: bold; text-decoration: none;"> a^8-</del>3 a^8 z^{-2} <del style="font-weight: bold; text-decoration: none;">+</del>10 a^8<del style="font-weight: bold; text-decoration: none;">-</del>10 z^7 a^7<del style="font-weight: bold; text-decoration: none;">+17</del> z^5 a^7<del style="font-weight: bold; text-decoration: none;">-17</del> z^3<del style="font-weight: bold; text-decoration: none;"> </del>a^7<del style="font-weight: bold; text-decoration: none;">+11</del> z a^7<del style="font-weight: bold; text-decoration: none;">-</del>5 a^7 z^{-1} +a^<del style="font-weight: bold; text-decoration: none;">7</del> z^<del style="font-weight: bold; text-decoration: none;">{</del>-3<del style="font-weight: bold; text-decoration: none;">} -4 z^6</del> a^6<del style="font-weight: bold; text-decoration: none;">+3</del> z^4<del style="font-weight: bold; text-decoration: none;"> </del>a^<del style="font-weight: bold; text-decoration: none;">6-</del>z^5<del style="font-weight: bold; text-decoration: none;"> </del>a^5<del style="font-weight: bold; text-decoration: none;">+</del>z^3<del style="font-weight: bold; text-decoration: none;"> a^5</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;<ins style="font-weight: bold; text-decoration: none;">a^{16} </ins>z^6<ins style="font-weight: bold; text-decoration: none;">-2</ins> a^{16} z^4<ins style="font-weight: bold; text-decoration: none;">+</ins>a^{16}<ins style="font-weight: bold; text-decoration: none;"> </ins>z^2<ins style="font-weight: bold; text-decoration: none;">+4</ins> a^{<ins style="font-weight: bold; text-decoration: none;">15</ins>} z^7<ins style="font-weight: bold; text-decoration: none;">-9</ins> a^{15} z^5<ins style="font-weight: bold; text-decoration: none;">+8</ins> a^{15} z^<ins style="font-weight: bold; text-decoration: none;">3-</ins>3 a^{15} z<ins style="font-weight: bold; text-decoration: none;">+7</ins> a^{<ins style="font-weight: bold; text-decoration: none;">14</ins>} z^8<ins style="font-weight: bold; text-decoration: none;">-13</ins> a^{14} z^<ins style="font-weight: bold; text-decoration: none;">6+</ins>6 a^{14} z^4<ins style="font-weight: bold; text-decoration: none;">+</ins>a^{14}<ins style="font-weight: bold; text-decoration: none;"> </ins>z^2<ins style="font-weight: bold; text-decoration: none;">+6</ins> a^{<ins style="font-weight: bold; text-decoration: none;">13</ins>} z^9<ins style="font-weight: bold; text-decoration: none;">-23</ins> a^{13} z^5<ins style="font-weight: bold; text-decoration: none;">+25</ins> a^{13} z^3<ins style="font-weight: bold; text-decoration: none;">-</ins>a^{13} z<ins style="font-weight: bold; text-decoration: none;">^{-3} -12</ins> a^{13}<ins style="font-weight: bold; text-decoration: none;"> z+</ins>5 a^{13} z^{-1} +<ins style="font-weight: bold; text-decoration: none;">2 </ins>a^{<ins style="font-weight: bold; text-decoration: none;">12</ins>} z^{10}<ins style="font-weight: bold; text-decoration: none;">+18</ins> a^{12} z^8<ins style="font-weight: bold; text-decoration: none;">-45</ins> a^{12} z^6<ins style="font-weight: bold; text-decoration: none;">+26</ins> a^{12} z^4<ins style="font-weight: bold; text-decoration: none;">+3</ins> a^{12} z^2<ins style="font-weight: bold; text-decoration: none;">+</ins>3 a^{12} z^{-2} <ins style="font-weight: bold; text-decoration: none;">-</ins>10 a^{12}<ins style="font-weight: bold; text-decoration: none;">+</ins>14<ins style="font-weight: bold; text-decoration: none;"> a^{11}</ins> z^9<ins style="font-weight: bold; text-decoration: none;">-10</ins> a^{11} z^7<ins style="font-weight: bold; text-decoration: none;">-26</ins> a^{11} z^5<ins style="font-weight: bold; text-decoration: none;">+31</ins> a^{11} z^<ins style="font-weight: bold; text-decoration: none;">3-</ins>3 a^{11} z<ins style="font-weight: bold; text-decoration: none;">^{-3} -21</ins> a^{11}<ins style="font-weight: bold; text-decoration: none;"> z+</ins>12 a^{11} z^{-1} +<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{<ins style="font-weight: bold; text-decoration: none;">10</ins>} z^{10}<ins style="font-weight: bold; text-decoration: none;">+23</ins> a^{10} z^8<ins style="font-weight: bold; text-decoration: none;">-50</ins> a^{10} z^6<ins style="font-weight: bold; text-decoration: none;">+22</ins> a^{10} z^4<ins style="font-weight: bold; text-decoration: none;">+15</ins> a^{10} z^2<ins style="font-weight: bold; text-decoration: none;">+</ins>6 a^{10} z^{-2} <ins style="font-weight: bold; text-decoration: none;">-</ins>19 a^{10}<ins style="font-weight: bold; text-decoration: none;">+</ins>8<ins style="font-weight: bold; text-decoration: none;"> a^9</ins> z^9<ins style="font-weight: bold; text-decoration: none;">+4</ins> a^9 z^7<ins style="font-weight: bold; text-decoration: none;">-30</ins> a^9 z^5<ins style="font-weight: bold; text-decoration: none;">+32</ins> a^9 z^<ins style="font-weight: bold; text-decoration: none;">3-</ins>3 a^9 z<ins style="font-weight: bold; text-decoration: none;">^{-3} -23</ins> a^9<ins style="font-weight: bold; text-decoration: none;"> z+</ins>12 a^9 z^{-1} +<ins style="font-weight: bold; text-decoration: none;">12</ins> a^<ins style="font-weight: bold; text-decoration: none;">8</ins> z^<ins style="font-weight: bold; text-decoration: none;">8</ins>-<ins style="font-weight: bold; text-decoration: none;">15</ins> a^8 z^6<ins style="font-weight: bold; text-decoration: none;">+</ins>a^8<ins style="font-weight: bold; text-decoration: none;"> </ins>z^4<ins style="font-weight: bold; text-decoration: none;">+12</ins> a^8 z^2<ins style="font-weight: bold; text-decoration: none;">+</ins>3 a^8 z^{-2} <ins style="font-weight: bold; text-decoration: none;">-</ins>10 a^8<ins style="font-weight: bold; text-decoration: none;">+</ins>10<ins style="font-weight: bold; text-decoration: none;"> a^7</ins> z^7<ins style="font-weight: bold; text-decoration: none;">-17</ins> a^7 z^5<ins style="font-weight: bold; text-decoration: none;">+17</ins> a^7 z^3<ins style="font-weight: bold; text-decoration: none;">-</ins>a^7 z<ins style="font-weight: bold; text-decoration: none;">^{-3} -11</ins> a^7<ins style="font-weight: bold; text-decoration: none;"> z+</ins>5 a^7 z^{-1} +<ins style="font-weight: bold; text-decoration: none;">4 </ins>a^<ins style="font-weight: bold; text-decoration: none;">6</ins> z^<ins style="font-weight: bold; text-decoration: none;">6</ins>-3 a^6 z^4<ins style="font-weight: bold; text-decoration: none;">+</ins>a^<ins style="font-weight: bold; text-decoration: none;">5 </ins>z^5<ins style="font-weight: bold; text-decoration: none;">-</ins>a^5<ins style="font-weight: bold; text-decoration: none;"> </ins>z^3&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L11a547/Kauffman_Polynomial&diff=81691&oldid=prev 2005-08-26T19:28:52Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-z^6 a^{16}+2 z^4 a^{16}-z^2 a^{16}-4 z^7 a^{15}+9 z^5 a^{15}-8 z^3 a^{15}+3 z a^{15}-7 z^8 a^{14}+13 z^6 a^{14}-6 z^4 a^{14}-z^2 a^{14}-6 z^9 a^{13}+23 z^5 a^{13}-25 z^3 a^{13}+12 z a^{13}-5 a^{13} z^{-1} +a^{13} z^{-3} -2 z^{10} a^{12}-18 z^8 a^{12}+45 z^6 a^{12}-26 z^4 a^{12}-3 z^2 a^{12}-3 a^{12} z^{-2} +10 a^{12}-14 z^9 a^{11}+10 z^7 a^{11}+26 z^5 a^{11}-31 z^3 a^{11}+21 z a^{11}-12 a^{11} z^{-1} +3 a^{11} z^{-3} -2 z^{10} a^{10}-23 z^8 a^{10}+50 z^6 a^{10}-22 z^4 a^{10}-15 z^2 a^{10}-6 a^{10} z^{-2} +19 a^{10}-8 z^9 a^9-4 z^7 a^9+30 z^5 a^9-32 z^3 a^9+23 z a^9-12 a^9 z^{-1} +3 a^9 z^{-3} -12 z^8 a^8+15 z^6 a^8-z^4 a^8-12 z^2 a^8-3 a^8 z^{-2} +10 a^8-10 z^7 a^7+17 z^5 a^7-17 z^3 a^7+11 z a^7-5 a^7 z^{-1} +a^7 z^{-3} -4 z^6 a^6+3 z^4 a^6-z^5 a^5+z^3 a^5&lt;/math&gt;</div>

ScottDataRobot