K14n27090

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Polynomial invariants

Jones polynomial Data:K14n27090/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -4 t^3+26 t^2-68 t+93-68 t^{-1} +26 t^{-2} -4 t^{-3} }[/math]
Conway polynomial Data:K14n27090/Conway Polynomial
Determinant Data:K14n27090/Determinant
Signature Data:K14n27090/Signature
HOMFLY-PT polynomial [math]\displaystyle{ a^6+z^4 a^4-2 z^2 a^4-2 a^4-z^6 a^2+z^4 a^2+z^2 a^2-2 z^6-z^4+2 z^2+3-z^6 a^{-2} -z^2 a^{-2} - a^{-2} +z^4 a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ 3 a^2 z^{12}+3 z^{12}+7 a^3 z^{11}+17 a z^{11}+10 z^{11} a^{-1} +5 a^4 z^{10}+6 a^2 z^{10}+15 z^{10} a^{-2} +16 z^{10}+a^5 z^9-24 a^3 z^9-53 a z^9-13 z^9 a^{-1} +15 z^9 a^{-3} -14 a^4 z^8-44 a^2 z^8-29 z^8 a^{-2} +11 z^8 a^{-4} -70 z^8+5 a^5 z^7+48 a^3 z^7+73 a z^7-2 z^7 a^{-1} -27 z^7 a^{-3} +5 z^7 a^{-5} +3 a^6 z^6+24 a^4 z^6+88 a^2 z^6+19 z^6 a^{-2} -20 z^6 a^{-4} +z^6 a^{-6} +107 z^6-20 a^5 z^5-58 a^3 z^5-44 a z^5+10 z^5 a^{-1} +8 z^5 a^{-3} -8 z^5 a^{-5} -9 a^6 z^4-35 a^4 z^4-73 a^2 z^4-7 z^4 a^{-2} +7 z^4 a^{-4} -z^4 a^{-6} -62 z^4+15 a^5 z^3+34 a^3 z^3+19 a z^3+z^3 a^{-1} +3 z^3 a^{-3} +2 z^3 a^{-5} +6 a^6 z^2+19 a^4 z^2+22 a^2 z^2+9 z^2-4 a^5 z-9 a^3 z-7 a z-3 z a^{-1} -z a^{-3} -a^6-2 a^4+ a^{-2} +3 }[/math]



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