Knot table - ten crossings: Difference between revisions

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==Knots with 10 crossings==
<center>
{|
{{Knot Table Image|10_1}}
{{Knot Table Image|10_2}}
{{Knot Table Image|10_3}}
{{Knot Table Image|10_4}}
{{Knot Table Image|10_5}}
{{Knot Table Image|10_6}}
{{Knot Table Image|10_7}}
{{Knot Table Image|10_8}}
{{Knot Table Image|10_9}}
{{Knot Table Image|10_10}}
|-
{{Knot Table Image|10_11}}
{{Knot Table Image|10_12}}
{{Knot Table Image|10_13}}
{{Knot Table Image|10_14}}
{{Knot Table Image|10_15}}
{{Knot Table Image|10_16}}
{{Knot Table Image|10_17}}
{{Knot Table Image|10_18}}
{{Knot Table Image|10_19}}
{{Knot Table Image|10_20}}
|-
{{Knot Table Image|10_21}}
{{Knot Table Image|10_22}}
{{Knot Table Image|10_23}}
{{Knot Table Image|10_24}}
{{Knot Table Image|10_25}}
{{Knot Table Image|10_26}}
{{Knot Table Image|10_27}}
{{Knot Table Image|10_28}}
{{Knot Table Image|10_29}}
{{Knot Table Image|10_30}}
|-
{{Knot Table Image|10_31}}
{{Knot Table Image|10_32}}
{{Knot Table Image|10_33}}
{{Knot Table Image|10_34}}
{{Knot Table Image|10_35}}
{{Knot Table Image|10_36}}
{{Knot Table Image|10_37}}
{{Knot Table Image|10_38}}
{{Knot Table Image|10_39}}
{{Knot Table Image|10_40}}
|-
{{Knot Table Image|10_41}}
{{Knot Table Image|10_42}}
{{Knot Table Image|10_43}}
{{Knot Table Image|10_44}}
{{Knot Table Image|10_45}}
{{Knot Table Image|10_46}}
{{Knot Table Image|10_47}}
{{Knot Table Image|10_48}}
{{Knot Table Image|10_49}}
{{Knot Table Image|10_50}}
|-
{{Knot Table Image|10_51}}
{{Knot Table Image|10_52}}
{{Knot Table Image|10_53}}
{{Knot Table Image|10_54}}
{{Knot Table Image|10_55}}
{{Knot Table Image|10_56}}
{{Knot Table Image|10_57}}
{{Knot Table Image|10_58}}
{{Knot Table Image|10_59}}
{{Knot Table Image|10_60}}
|-
{{Knot Table Image|10_61}}
{{Knot Table Image|10_62}}
{{Knot Table Image|10_63}}
{{Knot Table Image|10_64}}
{{Knot Table Image|10_65}}
{{Knot Table Image|10_66}}
{{Knot Table Image|10_67}}
{{Knot Table Image|10_68}}
{{Knot Table Image|10_69}}
{{Knot Table Image|10_70}}
|-
{{Knot Table Image|10_71}}
{{Knot Table Image|10_72}}
{{Knot Table Image|10_73}}
{{Knot Table Image|10_74}}
{{Knot Table Image|10_75}}
{{Knot Table Image|10_76}}
{{Knot Table Image|10_77}}
{{Knot Table Image|10_78}}
{{Knot Table Image|10_79}}
{{Knot Table Image|10_80}}
|-
{{Knot Table Image|10_81}}
{{Knot Table Image|10_82}}
{{Knot Table Image|10_83}}
{{Knot Table Image|10_84}}
{{Knot Table Image|10_85}}
{{Knot Table Image|10_86}}
{{Knot Table Image|10_87}}
{{Knot Table Image|10_88}}
{{Knot Table Image|10_89}}
{{Knot Table Image|10_90}}
|-
{{Knot Table Image|10_91}}
{{Knot Table Image|10_92}}
{{Knot Table Image|10_93}}
{{Knot Table Image|10_94}}
{{Knot Table Image|10_95}}
{{Knot Table Image|10_96}}
{{Knot Table Image|10_97}}
{{Knot Table Image|10_98}}
{{Knot Table Image|10_99}}
{{Knot Table Image|10_100}}
|-
{{Knot Table Image|10_101}}
{{Knot Table Image|10_102}}
{{Knot Table Image|10_103}}
{{Knot Table Image|10_104}}
{{Knot Table Image|10_105}}
{{Knot Table Image|10_106}}
{{Knot Table Image|10_107}}
{{Knot Table Image|10_108}}
{{Knot Table Image|10_109}}
{{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 18:54, 1 May 2007