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Data:7 3/Kauffman Polynomial - Revision history
2026-06-01T11:57:38Z
Revision history for this page on the wiki
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https://katlas.org/index.php?title=Data:7_3/Kauffman_Polynomial&diff=1719220&oldid=prev
ScottDataRobot at 22:00, 20 February 2013
2013-02-20T22:00:09Z
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<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><math>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;">+</del>z<del style="font-weight: bold; text-decoration: none;">^6</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</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;">+2 </del>z^<del style="font-weight: bold; text-decoration: none;">5</del> a^{-<del style="font-weight: bold; text-decoration: none;">7</del>} +z^5 a^{-9} <del style="font-weight: bold; text-decoration: none;">+</del>z^<del style="font-weight: bold; text-decoration: none;">4</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;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} -3 z^4 a^{-8} +z^<del style="font-weight: bold; text-decoration: none;">4</del> a^{-<del style="font-weight: bold; text-decoration: none;">10</del>} -2<del style="font-weight: bold; text-decoration: none;"> z^3</del> a^{-<del style="font-weight: bold; text-decoration: none;">5</del>} <del style="font-weight: bold; text-decoration: none;">-4</del> z^<del style="font-weight: bold; text-decoration: none;">3</del> a^{-7} -z^3 a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} +<del style="font-weight: bold; text-decoration: none;">z^</del>3 a^{-<del style="font-weight: bold; text-decoration: none;">11</del>} <del style="font-weight: bold; text-decoration: none;">-3 </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;">+4</del> z^<del style="font-weight: bold; text-decoration: none;">2</del> a^{-6} +<del style="font-weight: bold; text-decoration: none;">6</del> z^2 a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} -<del style="font-weight: bold; text-decoration: none;">z^</del>2 a^{-<del style="font-weight: bold; text-decoration: none;">10</del>} +<del style="font-weight: bold; text-decoration: none;">3 </del>z<del style="font-weight: bold; text-decoration: none;"> a</del>^<del style="font-weight: bold; text-decoration: none;">{-7} +z</del> a^{-<del style="font-weight: bold; text-decoration: none;">9</del>} -2 z a^{-<del style="font-weight: bold; text-decoration: none;">11</del>} + a^{-4} -2 a^{-<del style="font-weight: bold; text-decoration: none;">6</del>} <del style="font-weight: bold; text-decoration: none;">-2</del> a^{-<del style="font-weight: bold; text-decoration: none;">8</del>} </math></div></td>
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<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><math>z^<ins style="font-weight: bold; text-decoration: none;">3</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">11</ins>} <ins style="font-weight: bold; text-decoration: none;">-2 </ins>z a^{-<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;">10</ins>} <ins style="font-weight: bold; text-decoration: none;">-</ins>z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">10</ins>} +z^5 a^{-9} <ins style="font-weight: bold; text-decoration: none;">-</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;">+z a^{</ins>-<ins style="font-weight: bold; text-decoration: none;">9}</ins> <ins style="font-weight: bold; text-decoration: none;">+</ins>z^<ins style="font-weight: bold; text-decoration: none;">6</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} -3 z^4 a^{-8} +<ins style="font-weight: bold; text-decoration: none;">6 </ins>z^<ins style="font-weight: bold; text-decoration: none;">2</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} -2 a^{-<ins style="font-weight: bold; text-decoration: none;">8</ins>} <ins style="font-weight: bold; text-decoration: none;">+2</ins> z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-7} -<ins style="font-weight: bold; text-decoration: none;">4 </ins>z^3 a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} +3<ins style="font-weight: bold; text-decoration: none;"> z</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">7</ins>} <ins style="font-weight: bold; text-decoration: none;">+</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;">-3</ins> z^<ins style="font-weight: bold; text-decoration: none;">4</ins> a^{-6} +<ins style="font-weight: bold; text-decoration: none;">4</ins> z^2 a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} -2 a^{-<ins style="font-weight: bold; text-decoration: none;">6</ins>} +z^<ins style="font-weight: bold; text-decoration: none;">5</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">5</ins>} -2 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;">z^4</ins> a^{-4} -<ins style="font-weight: bold; text-decoration: none;">3 z^</ins>2 a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} <ins style="font-weight: bold; text-decoration: none;">+</ins> a^{-<ins style="font-weight: bold; text-decoration: none;">4</ins>} </math></div></td>
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ScottDataRobot
https://katlas.org/index.php?title=Data:7_3/Kauffman_Polynomial&diff=61381&oldid=prev
ScottDataRobot at 16:27, 26 August 2005
2005-08-26T16:27:00Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:27, 26 August 2005</td>
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<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><math>z^6 a^{-6} +z^6 a^{-8} +z^5 a^{-5} +2 z^5 a^{-7} +z^5 a^{-9} +z^4 a^{-4} -3 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} <del style="font-weight: bold; text-decoration: none;">}</del>-2 z^3 a^{-5} -4 z^3 a^{-7} -z^3 a^{-9} +z^3 a^{-11} <del style="font-weight: bold; text-decoration: none;">}</del>-3 z^2 a^{-4} +4 z^2 a^{-6} +6 z^2 a^{-8} -z^2 a^{-10} <del style="font-weight: bold; text-decoration: none;">}</del>+3 z a^{-7} +z a^{-9} -2 z a^{-11} <del style="font-weight: bold; text-decoration: none;">}</del>+ a^{-4} -2 a^{-6} -2 a^{-8} </math></div></td>
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<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><math>z^6 a^{-6} +z^6 a^{-8} +z^5 a^{-5} +2 z^5 a^{-7} +z^5 a^{-9} +z^4 a^{-4} -3 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} -2 z^3 a^{-5} -4 z^3 a^{-7} -z^3 a^{-9} +z^3 a^{-11} -3 z^2 a^{-4} +4 z^2 a^{-6} +6 z^2 a^{-8} -z^2 a^{-10} +3 z a^{-7} +z a^{-9} -2 z a^{-11} + a^{-4} -2 a^{-6} -2 a^{-8} </math></div></td>
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ScottDataRobot
https://katlas.org/index.php?title=Data:7_3/Kauffman_Polynomial&diff=1739&oldid=prev
ScottDataRobot at 16:49, 24 August 2005
2005-08-24T16:49:16Z
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<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><math><del style="font-weight: bold; text-decoration: none;">\frac{</del>z^6<del style="font-weight: bold; text-decoration: none;">}{</del>a^6}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^6<del style="font-weight: bold; text-decoration: none;">}{</del>a^8}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^5<del style="font-weight: bold; text-decoration: none;">}{</del>a^5}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>2 z^5<del style="font-weight: bold; text-decoration: none;">}{</del>a^7}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^5<del style="font-weight: bold; text-decoration: none;">}{</del>a^9}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^4<del style="font-weight: bold; text-decoration: none;">}{</del>a^4}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>3 z^4<del style="font-weight: bold; text-decoration: none;">}{</del>a^6}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>3 z^4<del style="font-weight: bold; text-decoration: none;">}{</del>a^8}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^4<del style="font-weight: bold; text-decoration: none;">}{</del>a^{10}}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>2 z^3<del style="font-weight: bold; text-decoration: none;">}{</del>a^5}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>4 z^3<del style="font-weight: bold; text-decoration: none;">}{</del>a^7}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^3<del style="font-weight: bold; text-decoration: none;">}{</del>a^9}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^3<del style="font-weight: bold; text-decoration: none;">}{</del>a^{11}}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>3 z^2<del style="font-weight: bold; text-decoration: none;">}{</del>a^4}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>4 z^2<del style="font-weight: bold; text-decoration: none;">}{</del>a^6}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>6 z^2<del style="font-weight: bold; text-decoration: none;">}{</del>a^8}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>z^2<del style="font-weight: bold; text-decoration: none;">}{</del>a^{10}}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>3 z<del style="font-weight: bold; text-decoration: none;">}{</del>a^7}+<del style="font-weight: bold; text-decoration: none;">\frac{</del>z<del style="font-weight: bold; text-decoration: none;">}{</del>a^9}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>2 z<del style="font-weight: bold; text-decoration: none;">}{</del>a^{11}}+<del style="font-weight: bold; text-decoration: none;">\frac{1}{</del>a^4}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>2<del style="font-weight: bold; text-decoration: none;">}{</del>a^6}-<del style="font-weight: bold; text-decoration: none;">\frac{</del>2<del style="font-weight: bold; text-decoration: none;">}{</del>a^8}</math></div></td>
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<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><math>z^6<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>6}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^6<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>8}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^5<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>5}<ins style="font-weight: bold; text-decoration: none;"> </ins>+2 z^5<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>7}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^5<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>9}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>4}<ins style="font-weight: bold; text-decoration: none;"> </ins>-3 z^4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>6}<ins style="font-weight: bold; text-decoration: none;"> </ins>-3 z^4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>8}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^4<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>10}<ins style="font-weight: bold; text-decoration: none;"> </ins>}-2 z^3<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>5}<ins style="font-weight: bold; text-decoration: none;"> </ins>-4 z^3<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>7}<ins style="font-weight: bold; text-decoration: none;"> </ins>-z^3<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>9}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z^3<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>11}<ins style="font-weight: bold; text-decoration: none;"> </ins>}-3 z^2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>4}<ins style="font-weight: bold; text-decoration: none;"> </ins>+4 z^2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>6}<ins style="font-weight: bold; text-decoration: none;"> </ins>+6 z^2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>8}<ins style="font-weight: bold; text-decoration: none;"> </ins>-z^2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>10}<ins style="font-weight: bold; text-decoration: none;"> </ins>}+3 z<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>7}<ins style="font-weight: bold; text-decoration: none;"> </ins>+z<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>9}<ins style="font-weight: bold; text-decoration: none;"> </ins>-2 z<ins style="font-weight: bold; text-decoration: none;"> </ins>a^{<ins style="font-weight: bold; text-decoration: none;">-</ins>11}<ins style="font-weight: bold; text-decoration: none;"> </ins>}+<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>4}<ins style="font-weight: bold; text-decoration: none;"> </ins>-2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>6}<ins style="font-weight: bold; text-decoration: none;"> </ins>-2<ins style="font-weight: bold; text-decoration: none;"> </ins>a^<ins style="font-weight: bold; text-decoration: none;">{-</ins>8}<ins style="font-weight: bold; text-decoration: none;"> </ins></math></div></td>
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ScottDataRobot
https://katlas.org/index.php?title=Data:7_3/Kauffman_Polynomial&diff=1364&oldid=prev
ScottDataRobot at 00:26, 24 August 2005
2005-08-24T00:26:55Z
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<p><b>New page</b></p><div><math>\frac{z^6}{a^6}+\frac{z^6}{a^8}+\frac{z^5}{a^5}+\frac{2 z^5}{a^7}+\frac{z^5}{a^9}+\frac{z^4}{a^4}-\frac{3 z^4}{a^6}-\frac{3 z^4}{a^8}+\frac{z^4}{a^{10}}-\frac{2 z^3}{a^5}-\frac{4 z^3}{a^7}-\frac{z^3}{a^9}+\frac{z^3}{a^{11}}-\frac{3 z^2}{a^4}+\frac{4 z^2}{a^6}+\frac{6 z^2}{a^8}-\frac{z^2}{a^{10}}+\frac{3 z}{a^7}+\frac{z}{a^9}-\frac{2 z}{a^{11}}+\frac{1}{a^4}-\frac{2}{a^6}-\frac{2}{a^8}</math></div>
ScottDataRobot