K14n17338

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Polynomial invariants

Jones polynomial Data:K14n17338/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+7 t^3-25 t^2+55 t-71+55 t^{-1} -25 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K14n17338/Conway Polynomial
Determinant Data:K14n17338/Determinant
Signature Data:K14n17338/Signature
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -4 z^6 a^{-4} +2 z^6 a^{-6} +z^4 a^{-2} -8 z^4 a^{-4} +5 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} -6 z^2 a^{-4} +6 z^2 a^{-6} -z^2 a^{-8} +z^2+2 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{12} a^{-4} +2 z^{12} a^{-6} +4 z^{11} a^{-3} +13 z^{11} a^{-5} +9 z^{11} a^{-7} +2 z^{10} a^{-2} +7 z^{10} a^{-4} +20 z^{10} a^{-6} +15 z^{10} a^{-8} -12 z^9 a^{-3} -34 z^9 a^{-5} -10 z^9 a^{-7} +12 z^9 a^{-9} -7 z^8 a^{-2} -43 z^8 a^{-4} -85 z^8 a^{-6} -44 z^8 a^{-8} +5 z^8 a^{-10} +z^7 a^{-1} +20 z^7 a^{-3} +23 z^7 a^{-5} -32 z^7 a^{-7} -35 z^7 a^{-9} +z^7 a^{-11} +24 z^6 a^{-2} +89 z^6 a^{-4} +115 z^6 a^{-6} +38 z^6 a^{-8} -12 z^6 a^{-10} +5 z^5 a^{-1} +2 z^5 a^{-3} +16 z^5 a^{-5} +49 z^5 a^{-7} +28 z^5 a^{-9} -2 z^5 a^{-11} -22 z^4 a^{-2} -71 z^4 a^{-4} -73 z^4 a^{-6} -20 z^4 a^{-8} +5 z^4 a^{-10} +z^4-6 z^3 a^{-1} -11 z^3 a^{-3} -19 z^3 a^{-5} -24 z^3 a^{-7} -10 z^3 a^{-9} +9 z^2 a^{-2} +24 z^2 a^{-4} +21 z^2 a^{-6} +7 z^2 a^{-8} -z^2+z a^{-1} +3 z a^{-3} +3 z a^{-5} +3 z a^{-7} +2 z a^{-9} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} }[/math]



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