K13n2486

From Knot Atlas
Revision as of 21:33, 23 June 2006 by ScottDataRobot (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n2486/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^2+16 t-27+16 t^{-1} -2 t^{-2} }[/math]
Conway polynomial Data:K13n2486/Conway Polynomial
Determinant 63
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^{12}+2 z^2 a^{10}-z^4 a^8+z^2 a^8+a^8-z^4 a^6+z^2 a^6+3 z^2 a^4+a^4+z^2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^9 a^{13}-7 z^7 a^{13}+18 z^5 a^{13}-20 z^3 a^{13}+8 z a^{13}+2 z^{10} a^{12}-12 z^8 a^{12}+23 z^6 a^{12}-15 z^4 a^{12}+2 z^2 a^{12}-a^{12}+z^{11} a^{11}-z^9 a^{11}-18 z^7 a^{11}+48 z^5 a^{11}-38 z^3 a^{11}+9 z a^{11}+5 z^{10} a^{10}-24 z^8 a^{10}+27 z^6 a^{10}+4 z^4 a^{10}-10 z^2 a^{10}+z^{11} a^9+2 z^9 a^9-27 z^7 a^9+42 z^5 a^9-17 z^3 a^9+3 z a^9+3 z^{10} a^8-9 z^8 a^8-5 z^6 a^8+20 z^4 a^8-9 z^2 a^8+a^8+4 z^9 a^7-15 z^7 a^7+13 z^5 a^7-7 z^3 a^7+3 z a^7+3 z^8 a^6-9 z^6 a^6+5 z^4 a^6-3 z^2 a^6+z^7 a^5+z^5 a^5-6 z^3 a^5+z a^5+4 z^4 a^4-5 z^2 a^4+a^4+2 z^3 a^3+z^2 a^2 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.