K13n1940

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Polynomial invariants

Jones polynomial Data:K13n1940/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+2 t^2+4 t-9+4 t^{-1} +2 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n1940/Conway Polynomial
Determinant 11
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-4} +z^4 a^{-2} -5 z^4 a^{-4} +4 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2 a^{-8} +2 a^{-2} -2 a^{-4} + a^{-6} + a^{-8} - a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ -z^9 a^{-5} +z^9 a^{-9} -z^8 a^{-4} -z^8 a^{-6} +2 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-3} +6 z^7 a^{-5} +z^7 a^{-7} -3 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} +7 z^6 a^{-4} +6 z^6 a^{-6} -10 z^6 a^{-8} -10 z^6 a^{-10} -5 z^5 a^{-3} -11 z^5 a^{-5} -5 z^5 a^{-7} -4 z^5 a^{-9} -5 z^5 a^{-11} -5 z^4 a^{-2} -16 z^4 a^{-4} -12 z^4 a^{-6} +12 z^4 a^{-8} +13 z^4 a^{-10} +6 z^3 a^{-3} +6 z^3 a^{-5} +4 z^3 a^{-7} +11 z^3 a^{-9} +7 z^3 a^{-11} +7 z^2 a^{-2} +12 z^2 a^{-4} +6 z^2 a^{-6} -4 z^2 a^{-8} -5 z^2 a^{-10} -z a^{-3} -2 z a^{-5} -z a^{-7} -3 z a^{-9} -3 z a^{-11} -2 a^{-2} -2 a^{-4} - a^{-6} + a^{-8} + a^{-10} }[/math]



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