K14n26355

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Polynomial invariants

Jones polynomial Data:K14n26355/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^4-12 t^3+37 t^2-71 t+89-71 t^{-1} +37 t^{-2} -12 t^{-3} +2 t^{-4} }[/math]
Conway polynomial Data:K14n26355/Conway Polynomial
Determinant Data:K14n26355/Determinant
Signature Data:K14n26355/Signature
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8+z^8-a^4 z^6+3 a^2 z^6-z^6 a^{-2} +3 z^6-a^4 z^4+4 a^2 z^4-2 z^4 a^{-2} +4 z^4-a^6 z^2+a^2 z^2-2 z^2 a^{-2} +3 z^2-a^2- a^{-2} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+3 a^5 z^{11}+13 a^3 z^{11}+10 a z^{11}+a^6 z^{10}+8 a^4 z^{10}+29 a^2 z^{10}+22 z^{10}+a^5 z^9-9 a^3 z^9+19 a z^9+29 z^9 a^{-1} +6 a^6 z^8-21 a^4 z^8-70 a^2 z^8+25 z^8 a^{-2} -18 z^8+3 a^7 z^7-19 a^5 z^7-49 a^3 z^7-84 a z^7-43 z^7 a^{-1} +14 z^7 a^{-3} -25 a^6 z^6-9 a^4 z^6+28 a^2 z^6-35 z^6 a^{-2} +5 z^6 a^{-4} -28 z^6-8 a^7 z^5+19 a^5 z^5+65 a^3 z^5+68 a z^5+17 z^5 a^{-1} -12 z^5 a^{-3} +z^5 a^{-5} +24 a^6 z^4+31 a^4 z^4+13 a^2 z^4+20 z^4 a^{-2} -z^4 a^{-4} +27 z^4+5 a^7 z^3-3 a^5 z^3-21 a^3 z^3-20 a z^3-2 z^3 a^{-1} +5 z^3 a^{-3} -6 a^6 z^2-9 a^4 z^2-6 a^2 z^2-6 z^2 a^{-2} -9 z^2-a^7 z-2 a^5 z-a^3 z-z a^{-1} -z a^{-3} +a^2+ a^{-2} +3 }[/math]



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