K13n3353

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Polynomial invariants

Jones polynomial Data:K13n3353/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-5 t^3+14 t^2-24 t+29-24 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3353/Conway Polynomial
Determinant 117
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +5 z^6-3 a^2 z^4-3 z^4 a^{-2} +10 z^4-4 a^2 z^2-4 z^2 a^{-2} +11 z^2-3 a^2-3 a^{-2} +7 }[/math]
Kauffman polynomial [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+7 a z^9+6 z^9 a^{-1} +4 a^2 z^8+11 z^8 a^{-2} +15 z^8+2 a^3 z^7-7 a z^7+9 z^7 a^{-3} +4 a^4 z^6-6 a^2 z^6-21 z^6 a^{-2} +4 z^6 a^{-4} -35 z^6+a^5 z^5-2 a z^5-17 z^5 a^{-1} -15 z^5 a^{-3} +z^5 a^{-5} -5 a^4 z^4+5 a^2 z^4+16 z^4 a^{-2} -4 z^4 a^{-4} +30 z^4-2 a^5 z^3-3 a^3 z^3+7 a z^3+18 z^3 a^{-1} +9 z^3 a^{-3} -z^3 a^{-5} +a^4 z^2-6 a^2 z^2-8 z^2 a^{-2} -15 z^2+a^5 z-a^3 z-6 a z-8 z a^{-1} -4 z a^{-3} +3 a^2+3 a^{-2} +7 }[/math]



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