K13n1402

From Knot Atlas
Revision as of 16:30, 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:K13n1402/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 6 t^2-25 t+39-25 t^{-1} +6 t^{-2} }[/math]
Conway polynomial Data:K13n1402/Conway Polynomial
Determinant 101
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6+z^4 a^4-z^2 a^4-a^4+3 z^4 a^2+4 z^2 a^2+3 a^2+2 z^4-1-3 z^2 a^{-2} - a^{-2} + a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+4 a^5 z^9+2 a^3 z^9+2 z^9 a^{-1} +3 a^6 z^8-9 a^4 z^8-18 a^2 z^8+z^8 a^{-2} -5 z^8+a^7 z^7-15 a^5 z^7-13 a^3 z^7-2 a z^7-5 z^7 a^{-1} -12 a^6 z^6+10 a^4 z^6+33 a^2 z^6-z^6 a^{-2} +10 z^6-4 a^7 z^5+17 a^5 z^5+16 a^3 z^5+3 a z^5+11 z^5 a^{-1} +3 z^5 a^{-3} +13 a^6 z^4-13 a^4 z^4-38 a^2 z^4+6 z^4 a^{-2} +z^4 a^{-4} -7 z^4+4 a^7 z^3-9 a^5 z^3-13 a^3 z^3-a z^3-5 z^3 a^{-1} -4 z^3 a^{-3} -3 a^6 z^2+7 a^4 z^2+19 a^2 z^2-6 z^2 a^{-2} -2 z^2 a^{-4} +5 z^2+2 a^5 z+3 a^3 z+z a^{-3} -a^4-3 a^2+ a^{-2} + a^{-4} -1 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.