K13n2618

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Polynomial invariants

Jones polynomial Data:K13n2618/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+4 t^2-8 t+11-8 t^{-1} +4 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2618/Conway Polynomial
Determinant 37
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-4 z^4 a^4-5 z^2 a^4-2 a^4+z^4 a^2+2 z^2 a^2+a^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+7 a^4 z^{10}+3 a^2 z^{10}+3 a^7 z^9-7 a^5 z^9-9 a^3 z^9+a z^9+a^8 z^8-22 a^6 z^8-42 a^4 z^8-19 a^2 z^8-16 a^7 z^7-7 a^5 z^7+3 a^3 z^7-6 a z^7-5 a^8 z^6+33 a^6 z^6+73 a^4 z^6+35 a^2 z^6+23 a^7 z^5+29 a^5 z^5+13 a^3 z^5+7 a z^5+6 a^8 z^4-18 a^6 z^4-49 a^4 z^4-28 a^2 z^4-3 z^4-12 a^7 z^3-18 a^5 z^3-9 a^3 z^3-4 a z^3-z^3 a^{-1} -2 a^8 z^2+5 a^6 z^2+15 a^4 z^2+9 a^2 z^2+z^2+2 a^7 z+3 a^5 z+a^3 z-a^6-2 a^4-a^2+1 }[/math]



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