K13n1134

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n1134/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^2+3 t-1+3 t^{-1} -2 t^{-2} }[/math]
Conway polynomial Data:K13n1134/Conway Polynomial
Determinant 11
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^4+a^4-z^4 a^2-2 z^2 a^2-z^4-3 z^2-1+ a^{-2} -z^2 a^{-4} - a^{-4} + a^{-6} }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+2 a^3 z^9-5 a z^9-7 z^9 a^{-1} +a^4 z^8-12 a^2 z^8-8 z^8 a^{-2} -21 z^8-12 a^3 z^7+4 a z^7+15 z^7 a^{-1} +z^7 a^{-5} -6 a^4 z^6+20 a^2 z^6+20 z^6 a^{-2} +z^6 a^{-4} +z^6 a^{-6} +46 z^6+20 a^3 z^5+3 a z^5-14 z^5 a^{-1} -2 z^5 a^{-3} -5 z^5 a^{-5} +10 a^4 z^4-11 a^2 z^4-22 z^4 a^{-2} -6 z^4 a^{-4} -5 z^4 a^{-6} -42 z^4-10 a^3 z^3-2 a z^3+4 z^3 a^{-1} +2 z^3 a^{-3} +6 z^3 a^{-5} -5 a^4 z^2+2 a^2 z^2+8 z^2 a^{-2} +6 z^2 a^{-4} +6 z^2 a^{-6} +15 z^2+a^3 z-z a^{-3} -2 z a^{-5} +a^4- a^{-2} - a^{-4} - a^{-6} -1 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.