K13n2695

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Polynomial invariants

Jones polynomial Data:K13n2695/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-5 t^2+10 t-11+10 t^{-1} -5 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n2695/Conway Polynomial
Determinant 43
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6-a^6+z^4 a^4+4 z^2 a^4+3 a^4-2 z^4 a^2-5 z^2 a^2-2 a^2+z^6+3 z^4+2 z^2-z^4 a^{-2} -z^2 a^{-2} + a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+a^5 z^9+3 a^3 z^9+7 a z^9+5 z^9 a^{-1} +2 a^6 z^8+a^4 z^8-8 a^2 z^8+4 z^8 a^{-2} -3 z^8+a^7 z^7-7 a^5 z^7-20 a^3 z^7-34 a z^7-21 z^7 a^{-1} +z^7 a^{-3} -12 a^6 z^6-12 a^4 z^6+a^2 z^6-16 z^6 a^{-2} -15 z^6-5 a^7 z^5+9 a^5 z^5+36 a^3 z^5+46 a z^5+21 z^5 a^{-1} -3 z^5 a^{-3} +17 a^6 z^4+25 a^4 z^4+15 a^2 z^4+14 z^4 a^{-2} +21 z^4+5 a^7 z^3-a^5 z^3-22 a^3 z^3-23 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -7 a^6 z^2-16 a^4 z^2-13 a^2 z^2-z^2 a^{-2} -5 z^2-a^7 z+4 a^3 z+3 a z+a^6+3 a^4+2 a^2- a^{-2} }[/math]



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