K13n3163

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n3163/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^2+5 t-5+5 t^{-1} -2 t^{-2} }[/math]
Conway polynomial Data:K13n3163/Conway Polynomial
Determinant 19
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ a^{10}-z^2 a^8-a^8-z^4 a^4-2 z^2 a^4-a^4-z^4 a^2-z^2 a^2+a^2+z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^9 z^{11}+a^7 z^{11}+a^{10} z^{10}+2 a^8 z^{10}+a^6 z^{10}-9 a^9 z^9-9 a^7 z^9-9 a^{10} z^8-18 a^8 z^8-9 a^6 z^8+28 a^9 z^7+27 a^7 z^7+a^3 z^7+28 a^{10} z^6+53 a^8 z^6+26 a^6 z^6+3 a^4 z^6+2 a^2 z^6-38 a^9 z^5-35 a^7 z^5+2 a^5 z^5+a^3 z^5+2 a z^5-36 a^{10} z^4-61 a^8 z^4-27 a^6 z^4-5 a^4 z^4-2 a^2 z^4+z^4+24 a^9 z^3+24 a^7 z^3-3 a^3 z^3-3 a z^3+17 a^{10} z^2+24 a^8 z^2+10 a^6 z^2+5 a^4 z^2-2 z^2-7 a^9 z-9 a^7 z+2 a^3 z-a^{10}-a^8-a^4-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.