K13n3011

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Polynomial invariants

Jones polynomial Data:K13n3011/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+t^3+3 t^2-6 t+7-6 t^{-1} +3 t^{-2} + t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3011/Conway Polynomial
Determinant 21
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -8 z^6 a^{-4} +6 z^4 a^{-2} -20 z^4 a^{-4} +2 z^4 a^{-6} +z^4 a^{-8} +10 z^2 a^{-2} -18 z^2 a^{-4} +5 z^2 a^{-6} +2 z^2 a^{-8} +4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} -9 z^9 a^{-3} -9 z^9 a^{-5} -9 z^8 a^{-2} -19 z^8 a^{-4} -9 z^8 a^{-6} +z^8 a^{-8} +27 z^7 a^{-3} +26 z^7 a^{-5} +z^7 a^{-7} +2 z^7 a^{-9} +28 z^6 a^{-2} +60 z^6 a^{-4} +27 z^6 a^{-6} -3 z^6 a^{-8} +2 z^6 a^{-10} -32 z^5 a^{-3} -27 z^5 a^{-5} -2 z^5 a^{-7} -5 z^5 a^{-9} +2 z^5 a^{-11} -37 z^4 a^{-2} -76 z^4 a^{-4} -29 z^4 a^{-6} +6 z^4 a^{-8} -3 z^4 a^{-10} +z^4 a^{-12} +13 z^3 a^{-3} +8 z^3 a^{-5} +5 z^3 a^{-7} +6 z^3 a^{-9} -4 z^3 a^{-11} +21 z^2 a^{-2} +36 z^2 a^{-4} +11 z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} -2 z^2 a^{-12} -z a^{-5} -2 z a^{-7} +z a^{-11} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math]



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