K13n2613

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n2613/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+t^2+8 t-15+8 t^{-1} + t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2613/Conway Polynomial
Determinant 27
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^{10}+2 z^2 a^8+4 z^2 a^6+4 a^6-z^6 a^4-6 z^4 a^4-8 z^2 a^4-5 a^4+z^4 a^2+5 z^2 a^2+3 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+8 z^3 a^{11}-4 z a^{11}+2 z^8 a^{10}-9 z^6 a^{10}+11 z^4 a^{10}-4 z^2 a^{10}+a^{10}+z^9 a^9-z^7 a^9-10 z^5 a^9+16 z^3 a^9-5 z a^9+3 z^8 a^8-10 z^6 a^8+4 z^4 a^8+4 z^2 a^8+4 z^7 a^7-13 z^5 a^7+9 z^3 a^7-3 z a^7-z^8 a^6+11 z^6 a^6-28 z^4 a^6+21 z^2 a^6-4 a^6-z^9 a^5+6 z^7 a^5-9 z^5 a^5+5 z^3 a^5-4 z a^5-2 z^8 a^4+13 z^6 a^4-27 z^4 a^4+23 z^2 a^4-5 a^4-z^5 a^3+4 z^3 a^3-2 z a^3+z^6 a^2-6 z^4 a^2+10 z^2 a^2-3 a^2 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.