Wikidata:Property proposal/Conway polynomial

Conway polynomial

Originally proposed at Wikidata:Property proposal/Natural science

   Done: Conway polynomial (P5351) (Talk and documentation)

Description	invariant of a knot. Use z as variable and list monomials in decreasing order.
Represents	Conway–Alexander polynomial (Q54848324)
Data type	Mathematical expression
Domain	knot (Q1188853)
Example	unknot (Q1188344) → $1$ trefoil knot (Q168620) → $z^{2}+1$ three-twist knot (Q7797291) → $2z^{2}+1$
Source	http://katlas.math.toronto.edu/wiki/Main_Page

Motivation

This would improve our coverage of knots. − Pintoch (talk) 09:51, 7 June 2018 (UTC)

•  Support David (talk) 13:00, 7 June 2018 (UTC)
•  Weak support would it be possible to have a more general property, "characteristic polynomial" or something like that, with a qualifier to specify how it is defined? As I mentioned on another proposal, we don't have many items for knots here! ArthurPSmith (talk) 18:21, 7 June 2018 (UTC)

@ArthurPSmith: About the number of knots - I guess it should not be hard to import more. About making just one more general property: why not! The advantage I see with having separate properties is that it should be easier to enforce a consistent format (using the descriptions of each property, as well as format constraints). Having a consistent format would make these properties more useful, as it would for instance enable us to query for knots with identical such invariants (which would nicely illustrate in SPARQL an open problem in the case of the Jones polynomial) − Pintoch (talk) 08:44, 8 June 2018 (UTC)

Ok, I guess the knot atlas you linked does have over 200 knots listed (in one table I looked at). ArthurPSmith (talk) 15:18, 8 June 2018 (UTC)

• @Pintoch, ديفيد عادل وهبة خليل 2:  Done ArthurPSmith (talk) 19:55, 21 June 2018 (UTC)