K13n1834

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Polynomial invariants

Jones polynomial Data:K13n1834/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-6 t^2+17 t-23+17 t^{-1} -6 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n1834/Conway Polynomial
Determinant 71
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^8-z^4 a^6+a^6+z^6 a^4+3 z^4 a^4+4 z^2 a^4+a^4-2 z^4 a^2-3 z^2 a^2-a^2+z^2+1 }[/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^2 z^8-4 a^7 z^7-10 a^5 z^7-6 a^3 z^7+2 a^8 z^6+a^6 z^6-2 a^4 z^6-a^2 z^6+3 a^9 z^5+6 a^7 z^5+14 a^5 z^5+14 a^3 z^5+3 a z^5-10 a^8 z^4-7 a^6 z^4+8 a^4 z^4+6 a^2 z^4+z^4-7 a^9 z^3-11 a^7 z^3-9 a^5 z^3-9 a^3 z^3-4 a z^3+6 a^8 z^2+5 a^6 z^2-5 a^4 z^2-6 a^2 z^2-2 z^2+3 a^9 z+4 a^7 z+2 a^5 z+2 a^3 z+a z-a^8-a^6+a^4+a^2+1 }[/math]



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