K13n2180

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Polynomial invariants

Jones polynomial Data:K13n2180/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+t^2+2 t-3+2 t^{-1} + t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2180/Conway Polynomial
Determinant 3
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^6+z^4 a^{-2} -6 z^4+a^4 z^2+2 a^2 z^2+4 z^2 a^{-2} -10 z^2+3 a^2+3 a^{-2} -5 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+z^{10} a^{-2} +2 z^{10}-9 a z^9-9 z^9 a^{-1} -9 a^2 z^8-9 z^8 a^{-2} -18 z^8+28 a z^7+28 z^7 a^{-1} +27 a^2 z^6+28 z^6 a^{-2} +55 z^6-a^3 z^5-38 a z^5-37 z^5 a^{-1} +a^4 z^4-32 a^2 z^4-36 z^4 a^{-2} -69 z^4+2 a^5 z^3+5 a^3 z^3+24 a z^3+21 z^3 a^{-1} +a^6 z^2+15 a^2 z^2+18 z^2 a^{-2} +34 z^2-a^5 z-3 a^3 z-6 a z-4 z a^{-1} -3 a^2-3 a^{-2} -5 }[/math]



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