K13n2283

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n2283/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^2+6 t-9+6 t^{-1} - t^{-2} }[/math]
Conway polynomial Data:K13n2283/Conway Polynomial
Determinant 23
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^4-2 a^4+z^4 a^2+5 z^2 a^2+4 a^2-z^4-2 z^2-1-z^4 a^{-2} -z^2 a^{-2} +z^2 a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}-5 a z^9-2 z^9 a^{-1} +3 z^9 a^{-3} -7 a^2 z^8-17 z^8 a^{-2} +z^8 a^{-4} -25 z^8+4 a z^7-13 z^7 a^{-1} -17 z^7 a^{-3} +a^4 z^6+15 a^2 z^6+27 z^6 a^{-2} -5 z^6 a^{-4} +46 z^6+a^5 z^5-2 a^3 z^5+30 z^5 a^{-1} +27 z^5 a^{-3} -6 a^4 z^4-20 a^2 z^4-16 z^4 a^{-2} +6 z^4 a^{-4} -36 z^4-4 a^5 z^3-a^3 z^3+a z^3-15 z^3 a^{-1} -13 z^3 a^{-3} +5 a^4 z^2+14 a^2 z^2+4 z^2 a^{-2} -z^2 a^{-4} +14 z^2+2 a^5 z+2 a^3 z-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.