K13n4104

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n4104/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^2+3 t-1+3 t^{-1} -2 t^{-2} }[/math]
Conway polynomial Data:K13n4104/Conway Polynomial
Determinant 11
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ a^6-z^4 a^4-3 z^2 a^4-2 a^4+z^6 a^2+5 z^4 a^2+8 z^2 a^2+5 a^2-z^6-7 z^4-14 z^2-7+z^4 a^{-2} +4 z^2 a^{-2} +4 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+z^{10} a^{-2} +2 z^{10}-9 a z^9-9 z^9 a^{-1} -10 a^2 z^8-9 z^8 a^{-2} -19 z^8-a^3 z^7+26 a z^7+27 z^7 a^{-1} +a^4 z^6+34 a^2 z^6+28 z^6 a^{-2} +61 z^6+a^5 z^5+8 a^3 z^5-25 a z^5-32 z^5 a^{-1} -a^4 z^4-44 a^2 z^4-37 z^4 a^{-2} -80 z^4+a^5 z^3-11 a^3 z^3+2 a z^3+14 z^3 a^{-1} +3 a^6 z^2+4 a^4 z^2+22 a^2 z^2+21 z^2 a^{-2} +42 z^2+4 a^3 z+3 a z-z a^{-1} -a^6-2 a^4-5 a^2-4 a^{-2} -7 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.