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(P5352)
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English
Jones polynomial
invariant of a knot or link. Use q as variable and list monomials in decreasing order.
In more languages
Data type
Mathematical expression
Statements
instance of
Wikidata property related to mathematics
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maintained by WikiProject
WikiProject Mathematics
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Wikidata item of this property
Jones polynomial
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Wikidata property example
unknot
Jones polynomial
1
{\displaystyle 1}
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trefoil knot
Jones polynomial
−
q
4
+
q
3
+
q
{\displaystyle -q^{4}+q^{3}+q}
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three-twist knot
Jones polynomial
q
−
1
−
q
−
2
+
2
q
−
3
−
q
−
4
+
q
−
5
−
q
−
6
{\displaystyle q^{-1}-q^{-2}+2q^{-3}-q^{-4}+q^{-5}-q^{-6}}
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source website for the property
http://katlas.math.toronto.edu/wiki/Main_Page
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stability of property value
never changes
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related property
Alexander polynomial
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Conway polynomial
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property proposal discussion
https://www.wikidata.org/wiki/Wikidata:Property_proposal/Jones_polynomial
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Constraints
property constraint
subject type constraint
class
link
relation
instance of
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