K13n3979

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Polynomial invariants

Jones polynomial Data:K13n3979/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-5 t+9-5 t^{-1} + t^{-3} }[/math]
Conway polynomial Data:K13n3979/Conway Polynomial
Determinant 17
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^6-a^2 z^4+z^4 a^{-2} +6 z^4-4 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +8 z^2-2 a^2+2 a^{-2} -2 a^{-4} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ z^9 a^{-1} +z^9 a^{-3} +a^2 z^8+2 z^8 a^{-2} +z^8 a^{-4} +2 z^8+a^3 z^7+a z^7-5 z^7 a^{-1} -5 z^7 a^{-3} -7 a^2 z^6-9 z^6 a^{-2} -2 z^6 a^{-4} -14 z^6-6 a^3 z^5-9 a z^5+5 z^5 a^{-1} +11 z^5 a^{-3} +3 z^5 a^{-5} +13 a^2 z^4+10 z^4 a^{-2} -4 z^4 a^{-4} +27 z^4+9 a^3 z^3+17 a z^3+2 z^3 a^{-1} -16 z^3 a^{-3} -10 z^3 a^{-5} -9 a^2 z^2-z^2 a^{-2} +5 z^2 a^{-4} -15 z^2-4 a^3 z-7 a z-z a^{-1} +7 z a^{-3} +5 z a^{-5} +2 a^2-2 a^{-2} -2 a^{-4} +3 }[/math]



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