K13n3592

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n3592/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+5 t^2-9 t+11-9 t^{-1} +5 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n3592/Conway Polynomial
Determinant 41
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6-z^6 a^4-4 z^4 a^4-5 z^2 a^4-2 a^4+2 z^4 a^2+6 z^2 a^2+4 a^2-z^2-1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^6 z^{10}+2 a^4 z^{10}+3 a^7 z^9+6 a^5 z^9+3 a^3 z^9+a^8 z^8-9 a^6 z^8-9 a^4 z^8+a^2 z^8-17 a^7 z^7-32 a^5 z^7-15 a^3 z^7-5 a^8 z^6+9 a^6 z^6+13 a^4 z^6-a^2 z^6+29 a^7 z^5+52 a^5 z^5+25 a^3 z^5+2 a z^5+7 a^8 z^4-15 a^4 z^4-8 a^2 z^4-15 a^7 z^3-32 a^5 z^3-23 a^3 z^3-6 a z^3-2 a^8 z^2+10 a^4 z^2+10 a^2 z^2+2 z^2+a^7 z+6 a^5 z+8 a^3 z+4 a z+z a^{-1} -2 a^4-4 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.