K13n1496

From Knot Atlas
Jump to navigationJump to search

Polynomial invariants

Jones polynomial Data:K13n1496/Jones Polynomial
Alexander polynomial 1
Conway polynomial Data:K13n1496/Conway Polynomial
Determinant 1
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^{-2} +z^4 a^{-6} -3 z^2 a^{-2} +3 z^2 a^{-6} -z^2 a^{-8} +z^2-2 a^{-2} +2 a^{-6} - a^{-8} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^{10} a^{-8} -7 z^9 a^{-5} -6 z^9 a^{-7} +z^9 a^{-9} -8 z^8 a^{-4} -23 z^8 a^{-6} -15 z^8 a^{-8} +14 z^7 a^{-5} +7 z^7 a^{-7} -7 z^7 a^{-9} +20 z^6 a^{-4} +56 z^6 a^{-6} +36 z^6 a^{-8} +z^5 a^{-1} -z^5 a^{-3} -10 z^5 a^{-5} +7 z^5 a^{-7} +15 z^5 a^{-9} +2 z^4 a^{-2} -20 z^4 a^{-4} -54 z^4 a^{-6} -33 z^4 a^{-8} +z^4-2 z^3 a^{-1} +3 z^3 a^{-3} +5 z^3 a^{-5} -11 z^3 a^{-7} -11 z^3 a^{-9} -5 z^2 a^{-2} +8 z^2 a^{-4} +21 z^2 a^{-6} +11 z^2 a^{-8} -3 z^2-2 z a^{-3} -2 z a^{-5} +2 z a^{-7} +2 z a^{-9} +2 a^{-2} -2 a^{-6} - a^{-8} +2 }[/math]



Modifying This Page

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.