K13n1860

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n1860/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-5 t^2+12 t-15+12 t^{-1} -5 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n1860/Conway Polynomial
Determinant 51
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^6-2 z^2 a^6-a^6+z^6 a^4+4 z^4 a^4+6 z^2 a^4+2 a^4-2 z^4 a^2-4 z^2 a^2-a^2+z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+a^7 z^9+3 a^5 z^9+2 a^3 z^9-4 a^6 z^8-3 a^4 z^8+a^2 z^8-3 a^7 z^7-12 a^5 z^7-9 a^3 z^7+3 a^8 z^6+9 a^6 z^6+4 a^4 z^6-2 a^2 z^6+a^9 z^5+5 a^7 z^5+21 a^5 z^5+20 a^3 z^5+3 a z^5-8 a^8 z^4-8 a^6 z^4+5 a^4 z^4+6 a^2 z^4+z^4-3 a^9 z^3-6 a^7 z^3-12 a^5 z^3-14 a^3 z^3-5 a z^3+3 a^8 z^2+a^6 z^2-7 a^4 z^2-7 a^2 z^2-2 z^2+a^9 z+2 a^7 z+3 a^5 z+3 a^3 z+a z+a^6+2 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.