K13n3558

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Polynomial invariants

Jones polynomial Data:K13n3558/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 3 t^2-19 t+33-19 t^{-1} +3 t^{-2} }[/math]
Conway polynomial Data:K13n3558/Conway Polynomial
Determinant 77
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^6-2 z^2 a^4+z^4 a^2-2 z^2 a^2-a^2+2 z^4+z^2+1-4 z^2 a^{-2} -2 a^{-2} +2 a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+3 a^3 z^9-3 a z^9-6 z^9 a^{-1} +3 a^4 z^8-5 a^2 z^8-6 z^8 a^{-2} -14 z^8+2 a^5 z^7-9 a^3 z^7+8 a z^7+20 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-9 a^4 z^6+4 a^2 z^6+19 z^6 a^{-2} +33 z^6-6 a^5 z^5+10 a^3 z^5-11 a z^5-27 z^5 a^{-1} -4 a^6 z^4+7 a^4 z^4+3 a^2 z^4-19 z^4 a^{-2} +2 z^4 a^{-4} -29 z^4+3 a^5 z^3-7 a^3 z^3+12 a z^3+22 z^3 a^{-1} +4 a^6 z^2-3 a^4 z^2-5 a^2 z^2+3 z^2 a^{-2} -4 z^2 a^{-4} +9 z^2+2 a^3 z-5 a z-9 z a^{-1} -2 z a^{-3} -a^6+a^2+2 a^{-2} +2 a^{-4} +1 }[/math]



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