K13n397

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Polynomial invariants

Jones polynomial Data:K13n397/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+7 t^2-11 t+13-11 t^{-1} +7 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n397/Conway Polynomial
Determinant 53
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6-z^6 a^4-3 z^4 a^4-z^2 a^4+a^4-z^6 a^2-4 z^4 a^2-5 z^2 a^2-2 a^2+z^4+3 z^2+2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+5 a^4 z^{10}+2 a^2 z^{10}+3 a^7 z^9+a^5 z^9+2 a z^9+a^8 z^8-14 a^6 z^8-24 a^4 z^8-8 a^2 z^8+z^8-16 a^7 z^7-25 a^5 z^7-20 a^3 z^7-11 a z^7-5 a^8 z^6+15 a^6 z^6+28 a^4 z^6+2 a^2 z^6-6 z^6+25 a^7 z^5+45 a^5 z^5+38 a^3 z^5+18 a z^5+7 a^8 z^4-2 a^6 z^4-7 a^4 z^4+13 a^2 z^4+11 z^4-14 a^7 z^3-26 a^5 z^3-24 a^3 z^3-12 a z^3-3 a^8 z^2-a^6 z^2-2 a^4 z^2-12 a^2 z^2-8 z^2+2 a^7 z+5 a^5 z+5 a^3 z+2 a z+a^4+2 a^2+2 }[/math]



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