K14n26724

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Polynomial invariants

Jones polynomial Data:K14n26724/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 5 t^3-28 t^2+64 t-81+64 t^{-1} -28 t^{-2} +5 t^{-3} }[/math]
Conway polynomial Data:K14n26724/Conway Polynomial
Determinant Data:K14n26724/Determinant
Signature Data:K14n26724/Signature
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-4 z^2 a^6-a^6+2 z^6 a^4+2 z^4 a^4-z^2 a^4-a^4+3 z^6 a^2+7 z^4 a^2+6 z^2 a^2+2 a^2-4 z^4-6 z^2-1+z^2 a^{-2} + a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+8 a^5 z^{11}+12 a^3 z^{11}+4 a z^{11}+14 a^6 z^{10}+18 a^4 z^{10}+6 a^2 z^{10}+2 z^{10}+14 a^7 z^9-24 a^3 z^9-10 a z^9+9 a^8 z^8-27 a^6 z^8-58 a^4 z^8-24 a^2 z^8-2 z^8+4 a^9 z^7-31 a^7 z^7-39 a^5 z^7+18 a^3 z^7+27 a z^7+5 z^7 a^{-1} +a^{10} z^6-17 a^8 z^6+14 a^6 z^6+68 a^4 z^6+46 a^2 z^6+z^6 a^{-2} +11 z^6-7 a^9 z^5+29 a^7 z^5+62 a^5 z^5-a^3 z^5-37 a z^5-10 z^5 a^{-1} -2 a^{10} z^4+10 a^8 z^4+8 a^6 z^4-30 a^4 z^4-49 a^2 z^4-3 z^4 a^{-2} -26 z^4+2 a^9 z^3-18 a^7 z^3-29 a^5 z^3+14 a z^3+5 z^3 a^{-1} +a^{10} z^2-6 a^8 z^2-8 a^6 z^2+8 a^4 z^2+19 a^2 z^2+3 z^2 a^{-2} +13 z^2+4 a^7 z+4 a^5 z-2 a^3 z-3 a z-z a^{-1} +a^8+a^6-a^4-2 a^2- a^{-2} -1 }[/math]



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