Knot table - ten crossings: Difference between revisions

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<a href=' http://wwwxtracum.graywood.dtdns.net '> wwwxtracum </a> <br />
==Knots with 10 crossings==
<a href=' http://www-xtracum.graywood.dtdns.net '> www xtracum </a> <br />
<center>
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{|
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{{Knot Table Image|10_1}}
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{{Knot Table Image|10_21}}
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{{Knot Table Image|10_31}}
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|-
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|-
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|-
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|-
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|-
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|-
{{Knot Table Image|10_91}}
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|-
{{Knot Table Image|10_101}}
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{{Knot Table Image|10_110}}
|-
{{Knot Table Image|10_111}}
{{Knot Table Image|10_112}}
{{Knot Table Image|10_113}}
{{Knot Table Image|10_114}}
{{Knot Table Image|10_115}}
{{Knot Table Image|10_116}}
{{Knot Table Image|10_117}}
{{Knot Table Image|10_118}}
{{Knot Table Image|10_119}}
{{Knot Table Image|10_120}}
|-
{{Knot Table Image|10_121}}
{{Knot Table Image|10_122}}
{{Knot Table Image|10_123}}
{{Knot Table Image|10_124}}
{{Knot Table Image|10_125}}
{{Knot Table Image|10_126}}
{{Knot Table Image|10_127}}
{{Knot Table Image|10_128}}
{{Knot Table Image|10_129}}
{{Knot Table Image|10_130}}
|-
{{Knot Table Image|10_131}}
{{Knot Table Image|10_132}}
{{Knot Table Image|10_133}}
{{Knot Table Image|10_134}}
{{Knot Table Image|10_135}}
{{Knot Table Image|10_136}}
{{Knot Table Image|10_137}}
{{Knot Table Image|10_138}}
{{Knot Table Image|10_139}}
{{Knot Table Image|10_140}}
|-
{{Knot Table Image|10_141}}
{{Knot Table Image|10_142}}
{{Knot Table Image|10_143}}
{{Knot Table Image|10_144}}
{{Knot Table Image|10_145}}
{{Knot Table Image|10_146}}
{{Knot Table Image|10_147}}
{{Knot Table Image|10_148}}
{{Knot Table Image|10_149}}
{{Knot Table Image|10_150}}
|-
{{Knot Table Image|10_151}}
{{Knot Table Image|10_152}}
{{Knot Table Image|10_153}}
{{Knot Table Image|10_154}}
{{Knot Table Image|10_155}}
{{Knot Table Image|10_156}}
{{Knot Table Image|10_157}}
{{Knot Table Image|10_158}}
{{Knot Table Image|10_159}}
{{Knot Table Image|10_160}}
|-
{{Knot Table Image|10_161}}
|Where's<br>Perko?
{{Knot Table Image|10_162}}
{{Knot Table Image|10_163}}
{{Knot Table Image|10_164}}
{{Knot Table Image|10_165}}
|}
</center>

In 1974 K. Perko noticed that the knots labeled 10<sub>161</sub> and 10<sub>162</sub> in Rolfsen's tables are in fact the same. In our table we removed his 10<sub>162</sub> and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [http://mathworld.wolfram.com/PerkoPair.html] [http://www.math.cuhk.edu.hk/publect/lecture4/perko.html] [http://www.maths.warwick.ac.uk/~bjs/Perko-page.html] [http://www.math.uiuc.edu/~jms/Videos/ke/images.html]
[http://knotplot.com/perko/].

Revision as of 11:22, 26 May 2007

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