K13n3028

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Polynomial invariants

Jones polynomial Data:K13n3028/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+t^2+2 t-3+2 t^{-1} + t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n3028/Conway Polynomial
Determinant 3
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^8+a^8-z^4 a^6-2 z^2 a^6-a^6+z^2 a^4-z^6 a^2-5 z^4 a^2-6 z^2 a^2-a^2+z^4+3 z^2+2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^6 a^{10}-4 z^4 a^{10}+3 z^2 a^{10}+2 z^7 a^9-8 z^5 a^9+6 z^3 a^9-z a^9+2 z^8 a^8-9 z^6 a^8+10 z^4 a^8-6 z^2 a^8+a^8+z^9 a^7-5 z^7 a^7+7 z^5 a^7-8 z^3 a^7+3 z a^7+2 z^8 a^6-13 z^6 a^6+20 z^4 a^6-11 z^2 a^6+a^6+2 z^9 a^5-14 z^7 a^5+25 z^5 a^5-17 z^3 a^5+6 z a^5+z^{10} a^4-5 z^8 a^4+12 z^4 a^4-6 z^2 a^4+3 z^9 a^3-19 z^7 a^3+30 z^5 a^3-13 z^3 a^3+2 z a^3+z^{10} a^2-4 z^8 a^2-3 z^6 a^2+17 z^4 a^2-12 z^2 a^2+a^2+2 z^9 a-12 z^7 a+20 z^5 a-10 z^3 a+z^8-6 z^6+11 z^4-8 z^2+2 }[/math]



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