K13n2000

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Polynomial invariants

Jones polynomial Data:K13n2000/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-6 t^2+19 t-27+19 t^{-1} -6 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n2000/Conway Polynomial
Determinant 79
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^8-z^4 a^6+z^6 a^4+3 z^4 a^4+5 z^2 a^4+2 a^4-2 z^4 a^2-2 z^2 a^2+z^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+4 a^5 z^9+2 a^3 z^9+a^8 z^8+a^6 z^8+a^4 z^8+a^2 z^8-3 a^7 z^7-6 a^5 z^7-3 a^3 z^7+2 a^8 z^6+2 a^2 z^6+3 a^9 z^5+5 a^7 z^5+5 a^5 z^5+7 a^3 z^5+4 a z^5-8 a^8 z^4-6 a^6 z^4-a^2 z^4+z^4-7 a^9 z^3-11 a^7 z^3-3 a^5 z^3-3 a^3 z^3-4 a z^3+4 a^8 z^2+2 a^6 z^2-a^4 z^2-z^2+4 a^9 z+4 a^7 z-a^8+2 a^4 }[/math]



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