K13n4016

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Polynomial invariants

Jones polynomial Data:K13n4016/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-7 t^2+18 t-23+18 t^{-1} -7 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n4016/Conway Polynomial
Determinant 75
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-4} -3 z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-6} -6 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +2 z^2-2 a^{-2} + a^{-4} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +3 z^9 a^{-3} +4 z^9 a^{-5} +z^9 a^{-7} +3 z^8 a^{-2} +2 z^8 a^{-4} -z^8 a^{-6} +z^7 a^{-1} -7 z^7 a^{-3} -8 z^7 a^{-5} -6 z^6 a^{-2} -7 z^6 a^{-4} +3 z^6 a^{-6} +4 z^6 a^{-8} +3 z^5 a^{-1} +11 z^5 a^{-3} +5 z^5 a^{-5} -2 z^5 a^{-7} +z^5 a^{-9} +11 z^4 a^{-2} +11 z^4 a^{-4} -5 z^4 a^{-6} -8 z^4 a^{-8} +3 z^4-6 z^3 a^{-1} -4 z^3 a^{-3} +4 z^3 a^{-5} -2 z^3 a^{-9} -11 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} +z^2 a^{-8} -5 z^2-z a^{-3} -z a^{-5} +2 a^{-2} + a^{-4} +2 }[/math]



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