K13n2880

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n2880/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 3 t^3-15 t^2+30 t-35+30 t^{-1} -15 t^{-2} +3 t^{-3} }[/math]
Conway polynomial Data:K13n2880/Conway Polynomial
Determinant 131
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +6 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -4 z^4+2 a^2 z^2+6 z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} -10 z^2+3 a^2+3 a^{-2} -5 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+a z^9+2 z^9 a^{-1} +8 z^9 a^{-3} +7 z^9 a^{-5} -16 z^8 a^{-2} -4 z^8 a^{-4} +7 z^8 a^{-6} -5 z^8+a z^7-7 z^7 a^{-1} -31 z^7 a^{-3} -18 z^7 a^{-5} +5 z^7 a^{-7} +3 a^2 z^6+24 z^6 a^{-2} -5 z^6 a^{-4} -16 z^6 a^{-6} +3 z^6 a^{-8} +13 z^6-9 a z^5+6 z^5 a^{-1} +50 z^5 a^{-3} +25 z^5 a^{-5} -9 z^5 a^{-7} +z^5 a^{-9} -10 a^2 z^4-26 z^4 a^{-2} +17 z^4 a^{-4} +16 z^4 a^{-6} -6 z^4 a^{-8} -31 z^4+7 a z^3-12 z^3 a^{-1} -37 z^3 a^{-3} -12 z^3 a^{-5} +4 z^3 a^{-7} -2 z^3 a^{-9} +10 a^2 z^2+11 z^2 a^{-2} -8 z^2 a^{-4} -3 z^2 a^{-6} +2 z^2 a^{-8} +24 z^2+6 z a^{-1} +9 z a^{-3} +3 z a^{-5} -3 a^2-3 a^{-2} -5 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.