K13n3521

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n3521/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -8 t+17-8 t^{-1} }[/math]
Conway polynomial Data:K13n3521/Conway Polynomial
Determinant 33
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^6-z^2 a^4-2 z^2 a^2-3 z^2-1-2 z^2 a^{-2} - a^{-2} +2 a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+z^{10} a^{-2} +2 z^{10}+a^3 z^9-8 a z^9-9 z^9 a^{-1} +a^4 z^8-6 a^2 z^8-8 z^8 a^{-2} -15 z^8+a^5 z^7-5 a^3 z^7+26 a z^7+33 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-4 a^4 z^6+13 a^2 z^6+24 z^6 a^{-2} +42 z^6-4 a^5 z^5+9 a^3 z^5-42 a z^5-59 z^5 a^{-1} -4 z^5 a^{-3} -5 a^6 z^4+4 a^4 z^4-10 a^2 z^4-28 z^4 a^{-2} +2 z^4 a^{-4} -49 z^4+3 a^5 z^3-7 a^3 z^3+37 a z^3+53 z^3 a^{-1} +6 z^3 a^{-3} +6 a^6 z^2-2 a^4 z^2+a^2 z^2+9 z^2 a^{-2} -6 z^2 a^{-4} +24 z^2-12 a z-16 z a^{-1} -4 z a^{-3} -a^6+ a^{-2} +2 a^{-4} -1 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.