Knot table - ten crossings: Difference between revisions

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<noinclude>This is one of the tables included into [[The Rolfsen Knot Table]]</noinclude>
==Knots with 10 crossings==
==Knots with 10 crossings==
<center>
<center>
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{{Knot Table Image|10_9}}
{{Knot Table Image|10_9}}
{{Knot Table Image|10_10}}
{{Knot Table Image|10_10}}
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|-
{{Knot Table Image|10_11}}
{{Knot Table Image|10_11}}
{{Knot Table Image|10_12}}
{{Knot Table Image|10_12}}
{{Knot Table Image|10_13}}
{{Knot Table Image|10_13}}
{{Knot Table Image|10_14}}
{{Knot Table Image|10_14}}
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{{Knot Table Image|10_15}}
{{Knot Table Image|10_15}}
{{Knot Table Image|10_16}}
{{Knot Table Image|10_16}}
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{{Knot Table Image|10_19}}
{{Knot Table Image|10_19}}
{{Knot Table Image|10_20}}
{{Knot Table Image|10_20}}
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{{Knot Table Image|10_21}}
{{Knot Table Image|10_21}}
{{Knot Table Image|10_22}}
{{Knot Table Image|10_22}}
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{{Knot Table Image|10_27}}
{{Knot Table Image|10_27}}
{{Knot Table Image|10_28}}
{{Knot Table Image|10_28}}
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|-
{{Knot Table Image|10_29}}
{{Knot Table Image|10_29}}
{{Knot Table Image|10_30}}
{{Knot Table Image|10_30}}
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{{Knot Table Image|10_31}}
{{Knot Table Image|10_31}}
{{Knot Table Image|10_32}}
{{Knot Table Image|10_32}}
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{{Knot Table Image|10_39}}
{{Knot Table Image|10_39}}
{{Knot Table Image|10_40}}
{{Knot Table Image|10_40}}
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{{Knot Table Image|10_41}}
{{Knot Table Image|10_41}}
{{Knot Table Image|10_42}}
{{Knot Table Image|10_42}}
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{{Knot Table Image|10_43}}
{{Knot Table Image|10_43}}
{{Knot Table Image|10_44}}
{{Knot Table Image|10_44}}
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{{Knot Table Image|10_49}}
{{Knot Table Image|10_49}}
{{Knot Table Image|10_50}}
{{Knot Table Image|10_50}}
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{{Knot Table Image|10_51}}
{{Knot Table Image|10_51}}
{{Knot Table Image|10_52}}
{{Knot Table Image|10_52}}
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{{Knot Table Image|10_55}}
{{Knot Table Image|10_55}}
{{Knot Table Image|10_56}}
{{Knot Table Image|10_56}}
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{{Knot Table Image|10_57}}
{{Knot Table Image|10_57}}
{{Knot Table Image|10_58}}
{{Knot Table Image|10_58}}
{{Knot Table Image|10_59}}
{{Knot Table Image|10_59}}
{{Knot Table Image|10_60}}
{{Knot Table Image|10_60}}
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{{Knot Table Image|10_61}}
{{Knot Table Image|10_61}}
{{Knot Table Image|10_62}}
{{Knot Table Image|10_62}}
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{{Knot Table Image|10_79}}
{{Knot Table Image|10_79}}
{{Knot Table Image|10_80}}
{{Knot Table Image|10_80}}
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{{Knot Table Image|10_81}}
{{Knot Table Image|10_81}}
{{Knot Table Image|10_82}}
{{Knot Table Image|10_82}}
{{Knot Table Image|10_83}}
{{Knot Table Image|10_83}}
{{Knot Table Image|10_84}}
{{Knot Table Image|10_84}}
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{{Knot Table Image|10_85}}
{{Knot Table Image|10_85}}
{{Knot Table Image|10_86}}
{{Knot Table Image|10_86}}
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{{Knot Table Image|10_89}}
{{Knot Table Image|10_89}}
{{Knot Table Image|10_90}}
{{Knot Table Image|10_90}}
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{{Knot Table Image|10_91}}
{{Knot Table Image|10_91}}
{{Knot Table Image|10_92}}
{{Knot Table Image|10_92}}
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{{Knot Table Image|10_97}}
{{Knot Table Image|10_97}}
{{Knot Table Image|10_98}}
{{Knot Table Image|10_98}}
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{{Knot Table Image|10_99}}
{{Knot Table Image|10_99}}
{{Knot Table Image|10_100}}
{{Knot Table Image|10_100}}
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{{Knot Table Image|10_101}}
{{Knot Table Image|10_101}}
{{Knot Table Image|10_102}}
{{Knot Table Image|10_102}}
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{{Knot Table Image|10_109}}
{{Knot Table Image|10_109}}
{{Knot Table Image|10_110}}
{{Knot Table Image|10_110}}
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{{Knot Table Image|10_111}}
{{Knot Table Image|10_111}}
{{Knot Table Image|10_112}}
{{Knot Table Image|10_112}}
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{{Knot Table Image|10_113}}
{{Knot Table Image|10_113}}
{{Knot Table Image|10_114}}
{{Knot Table Image|10_114}}
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{{Knot Table Image|10_119}}
{{Knot Table Image|10_119}}
{{Knot Table Image|10_120}}
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{{Knot Table Image|10_121}}
{{Knot Table Image|10_121}}
{{Knot Table Image|10_122}}
{{Knot Table Image|10_122}}
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{{Knot Table Image|10_125}}
{{Knot Table Image|10_125}}
{{Knot Table Image|10_126}}
{{Knot Table Image|10_126}}
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{{Knot Table Image|10_127}}
{{Knot Table Image|10_127}}
{{Knot Table Image|10_128}}
{{Knot Table Image|10_128}}
{{Knot Table Image|10_129}}
{{Knot Table Image|10_129}}
{{Knot Table Image|10_130}}
{{Knot Table Image|10_130}}
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{{Knot Table Image|10_131}}
{{Knot Table Image|10_131}}
{{Knot Table Image|10_132}}
{{Knot Table Image|10_132}}
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{{Knot Table Image|10_146}}
{{Knot Table Image|10_146}}
{{Knot Table Image|10_147}}
{{Knot Table Image|10_147}}
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{{Knot Table Image|10_148}}
{{Knot Table Image|10_148}}
{{Knot Table Image|10_149}}
{{Knot Table Image|10_149}}
{{Knot Table Image|10_150}}
{{Knot Table Image|10_150}}
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{{Knot Table Image|10_151}}
{{Knot Table Image|10_151}}
{{Knot Table Image|10_152}}
{{Knot Table Image|10_152}}
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{{Knot Table Image|10_159}}
{{Knot Table Image|10_159}}
{{Knot Table Image|10_160}}
{{Knot Table Image|10_160}}
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{{Knot Table Image|10_161}}
|-
|-
⚫
{{Knot Table Image|10_161}}
|Where's<br>Perko?
|align=center|See<br><font color=red>warning</font><br>below
{{Knot Table Image|10_162}}
{{Knot Table Image|10_162}}
{{Knot Table Image|10_163}}
{{Knot Table Image|10_163}}
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</center>
</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].
<font size=+1 color=red>'''Warning.'''</font> In 1973 K. Perko noticed that the knots that were later labeled 10<sub>161</sub> and 10<sub>162</sub> in Rolfsen's tables (which were published in 1976 and were based on earlier tables by Little (1900) and Conway (1970)) are in fact the same. In our table we removed Rolfsen's 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/].

Latest revision as of 10:04, 12 August 2013

This is one of the tables included into The Rolfsen Knot Table

Knots with 10 crossings

10 1.gif

10_1

10 2.gif

10_2

10 3.gif

10_3

10 4.gif

10_4

10 5.gif

10_5

10 6.gif

10_6

10 7.gif

10_7

10 8.gif

10_8

10 9.gif

10_9

10 10.gif

10_10

10 11.gif

10_11

10 12.gif

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10 13.gif

10_13

10 14.gif

10_14

10 15.gif

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10_16

10 17.gif

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10 19.gif

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10 20.gif

10_20

10 21.gif

10_21

10 22.gif

10_22

10 23.gif

10_23

10 24.gif

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10 25.gif

10_25

10 26.gif

10_26

10 27.gif

10_27

10 28.gif

10_28

10 29.gif

10_29

10 30.gif

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10 31.gif

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10 32.gif

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10 33.gif

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10_38

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10_40

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10_62

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10 71.gif

10_71

10 72.gif

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10 73.gif

10_73

10 74.gif

10_74

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10 77.gif

10_77

10 78.gif

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10 79.gif

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10 101.gif

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10 102.gif

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10 109.gif

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10 126.gif

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10 146.gif

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10 150.gif

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10 157.gif

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10 158.gif

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10 159.gif

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10 160.gif

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10 161.gif

10_161

See
warning
below

10 162.gif

10_162

10 163.gif

10_163

10 164.gif

10_164

10 165.gif

10_165

Warning. In 1973 K. Perko noticed that the knots that were later labeled 10161 and 10162 in Rolfsen's tables (which were published in 1976 and were based on earlier tables by Little (1900) and Conway (1970)) are in fact the same. In our table we removed Rolfsen's 10162 and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [1] [2] [3] [4] [5].

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