K13n2079

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Polynomial invariants

Jones polynomial Data:K13n2079/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-6 t^2+10 t-9+10 t^{-1} -6 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n2079/Conway Polynomial
Determinant 43
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ a^8-z^2 a^6-a^6-z^4 a^4-2 z^2 a^4+z^6 a^2+3 z^4 a^2+2 z^2 a^2+a^2-2 z^4-5 z^2-2+z^2 a^{-2} +2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^7 z^9+a z^9+a^8 z^8+3 a^2 z^8+2 z^8-8 a^7 z^7-2 a^5 z^7+5 a^3 z^7+a z^7+2 z^7 a^{-1} -7 a^8 z^6-4 a^6 z^6+4 a^4 z^6-3 a^2 z^6+z^6 a^{-2} -3 z^6+18 a^7 z^5+10 a^5 z^5-8 a^3 z^5-6 a z^5-6 z^5 a^{-1} +14 a^8 z^4+14 a^6 z^4-4 a^4 z^4-5 a^2 z^4-4 z^4 a^{-2} -5 z^4-13 a^7 z^3-7 a^5 z^3+2 a^3 z^3+4 z^3 a^{-1} -9 a^8 z^2-8 a^6 z^2+2 a^4 z^2+3 a^2 z^2+5 z^2 a^{-2} +7 z^2+3 a^7 z+2 a^5 z+a z+a^8+a^6-a^2-2 a^{-2} -2 }[/math]



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