K13n3968

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n3968/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-10 t^2+26 t-35+26 t^{-1} -10 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n3968/Conway Polynomial
Determinant 111
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^8-z^2 a^8-a^8+z^6 a^6+2 z^4 a^6+2 z^2 a^6+z^6 a^4+2 z^4 a^4+3 z^2 a^4+2 a^4-z^4 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+z^3 a^{11}+4 z^8 a^{10}-13 z^6 a^{10}+8 z^4 a^{10}-z^2 a^{10}+8 z^9 a^9-31 z^7 a^9+33 z^5 a^9-16 z^3 a^9+5 z a^9+7 z^{10} a^8-25 z^8 a^8+23 z^6 a^8-11 z^4 a^8+4 z^2 a^8-a^8+2 z^{11} a^7+5 z^9 a^7-45 z^7 a^7+67 z^5 a^7-37 z^3 a^7+7 z a^7+10 z^{10} a^6-42 z^8 a^6+58 z^6 a^6-30 z^4 a^6+3 z^2 a^6+2 z^{11} a^5-2 z^9 a^5-17 z^7 a^5+41 z^5 a^5-25 z^3 a^5+3 z a^5+3 z^{10} a^4-13 z^8 a^4+22 z^6 a^4-9 z^4 a^4-2 z^2 a^4+2 a^4+z^9 a^3-4 z^7 a^3+10 z^5 a^3-5 z^3 a^3+z a^3+2 z^4 a^2 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.