K13n2822

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Polynomial invariants

Jones polynomial Data:K13n2822/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:K13n2822/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}+4 a^4 z^{10}+a^2 z^{10}+3 a^7 z^9-3 a^3 z^9+a^8 z^8-14 a^6 z^8-18 a^4 z^8-3 a^2 z^8-16 a^7 z^7-18 a^5 z^7+2 a z^7-5 a^8 z^6+15 a^6 z^6+19 a^4 z^6-a^2 z^6+25 a^7 z^5+30 a^5 z^5-a^3 z^5-6 a z^5+7 a^8 z^4-a^6 z^4-4 a^4 z^4+7 a^2 z^4+3 z^4-13 a^7 z^3-12 a^5 z^3+3 a^3 z^3+4 a z^3+2 z^3 a^{-1} -3 a^8 z^2-a^6 z^2-a^4 z^2-9 a^2 z^2+z^2 a^{-2} -5 z^2+a^7 z+a^5 z-a^3 z-2 a z-z a^{-1} +a^4+2 a^2+2 }[/math]



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