K13n4054

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n4054/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:K13n4054/Conway Polynomial
Determinant 111
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}-2 z^4 a^8-3 z^2 a^8-a^8+z^6 a^6+2 z^4 a^6+2 z^2 a^6+z^6 a^4+3 z^4 a^4+5 z^2 a^4+2 a^4-z^4 a^2-z^2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+4 z^4 a^{12}-z^2 a^{12}+4 z^9 a^{11}-19 z^7 a^{11}+26 z^5 a^{11}-9 z^3 a^{11}-z a^{11}+5 z^{10} a^{10}-22 z^8 a^{10}+26 z^6 a^{10}-6 z^4 a^{10}-z^2 a^{10}+2 z^{11} a^9-27 z^7 a^9+42 z^5 a^9-15 z^3 a^9+z a^9+9 z^{10} a^8-36 z^8 a^8+44 z^6 a^8-26 z^4 a^8+9 z^2 a^8-a^8+2 z^{11} a^7-z^9 a^7-10 z^7 a^7+6 z^5 a^7-2 z^3 a^7+z a^7+4 z^{10} a^6-11 z^8 a^6+16 z^6 a^6-23 z^4 a^6+8 z^2 a^6+3 z^9 a^5-z^7 a^5-7 z^5 a^5+3 z^3 a^5-z a^5+2 z^8 a^4+2 z^6 a^4-3 z^4 a^4-2 z^2 a^4+2 a^4+z^7 a^3+3 z^5 a^3+4 z^4 a^2-z^2 a^2+z^3 a }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.