K13n3594

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Polynomial invariants

Jones polynomial Data:K13n3594/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -6 t+13-6 t^{-1} }[/math]
Conway polynomial Data:K13n3594/Conway Polynomial
Determinant 25
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^8-z^2 a^6-2 z^2 a^4-a^4-2 z^2 a^2-a^2-z^2+1+ a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+a^6 z^{10}+2 a^4 z^{10}+a^2 z^{10}+a^7 z^9-8 a^5 z^9-9 a^3 z^9+a^8 z^8-6 a^6 z^8-15 a^4 z^8-8 a^2 z^8-6 a^7 z^7+26 a^5 z^7+33 a^3 z^7+a z^7-7 a^8 z^6+11 a^6 z^6+42 a^4 z^6+24 a^2 z^6+10 a^7 z^5-45 a^5 z^5-60 a^3 z^5-5 a z^5+15 a^8 z^4-8 a^6 z^4-54 a^4 z^4-30 a^2 z^4+z^4-4 a^7 z^3+38 a^5 z^3+51 a^3 z^3+10 a z^3+z^3 a^{-1} -10 a^8 z^2+3 a^6 z^2+25 a^4 z^2+11 a^2 z^2+z^2 a^{-2} -12 a^5 z-18 a^3 z-6 a z+a^8-a^4+a^2- a^{-2} +1 }[/math]



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