K13n1779

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n1779/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+4 t^3-4 t^2-t+5- t^{-1} -4 t^{-2} +4 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n1779/Conway Polynomial
Determinant 11
Signature 6
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -7 z^6 a^{-8} +z^6 a^{-10} +11 z^4 a^{-6} -17 z^4 a^{-8} +6 z^4 a^{-10} +16 z^2 a^{-6} -20 z^2 a^{-8} +8 z^2 a^{-10} -z^2 a^{-12} +7 a^{-6} -9 a^{-8} +3 a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +2 z^9 a^{-9} +z^9 a^{-11} -7 z^8 a^{-8} -7 z^8 a^{-10} -5 z^7 a^{-7} -13 z^7 a^{-9} -7 z^7 a^{-11} +z^7 a^{-13} +3 z^6 a^{-6} +20 z^6 a^{-8} +16 z^6 a^{-10} +z^6 a^{-14} +8 z^5 a^{-7} +27 z^5 a^{-9} +13 z^5 a^{-11} -6 z^5 a^{-13} -15 z^4 a^{-6} -35 z^4 a^{-8} -18 z^4 a^{-10} -3 z^4 a^{-12} -5 z^4 a^{-14} -11 z^3 a^{-7} -26 z^3 a^{-9} -7 z^3 a^{-11} +8 z^3 a^{-13} +19 z^2 a^{-6} +30 z^2 a^{-8} +10 z^2 a^{-10} +4 z^2 a^{-12} +5 z^2 a^{-14} +8 z a^{-7} +10 z a^{-9} -z a^{-11} -3 z a^{-13} -7 a^{-6} -9 a^{-8} -3 a^{-10} }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.