K13n2094

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n2094/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^2+7 t-7+7 t^{-1} -3 t^{-2} }[/math]
Conway polynomial Data:K13n2094/Conway Polynomial
Determinant 27
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ a^8-z^2 a^6-a^6+z^2 a^4+a^4-2 z^4 a^2-5 z^2 a^2-2 a^2-z^4-z^2+1+z^2 a^{-2} + a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^7 z^9+a z^9+a^8 z^8+a^6 z^8+2 a^2 z^8+2 z^8-7 a^7 z^7-a^5 z^7+2 a^3 z^7-2 a z^7+2 z^7 a^{-1} -7 a^8 z^6-9 a^6 z^6-a^4 z^6-6 a^2 z^6+z^6 a^{-2} -6 z^6+14 a^7 z^5+a^5 z^5-6 a^3 z^5-7 z^5 a^{-1} +15 a^8 z^4+19 a^6 z^4+5 a^4 z^4+8 a^2 z^4-4 z^4 a^{-2} +3 z^4-10 a^7 z^3+4 a^5 z^3+8 a^3 z^3-a z^3+5 z^3 a^{-1} -11 a^8 z^2-10 a^6 z^2-3 a^4 z^2-9 a^2 z^2+4 z^2 a^{-2} -z^2+3 a^7 z-4 a^3 z-a z+a^8+a^6+a^4+2 a^2- a^{-2} +1 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.