K13n3602

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Polynomial invariants

Jones polynomial Data:K13n3602/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^2+2 t-1+2 t^{-1} - t^{-2} }[/math]
Conway polynomial Data:K13n3602/Conway Polynomial
Determinant 7
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^{-4} +2 z^2 a^{-2} -3 z^2 a^{-4} -z^2 a^{-8} +3 a^{-2} -2 a^{-4} - a^{-8} + a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +2 z^{10} a^{-8} +z^{10} a^{-10} -9 z^9 a^{-7} -9 z^9 a^{-9} -9 z^8 a^{-6} -18 z^8 a^{-8} -9 z^8 a^{-10} +28 z^7 a^{-7} +28 z^7 a^{-9} +z^6 a^{-4} +27 z^6 a^{-6} +54 z^6 a^{-8} +28 z^6 a^{-10} +z^5 a^{-3} -39 z^5 a^{-7} -38 z^5 a^{-9} -3 z^4 a^{-4} -31 z^4 a^{-6} -64 z^4 a^{-8} -36 z^4 a^{-10} -z^3 a^{-3} +3 z^3 a^{-5} +29 z^3 a^{-7} +25 z^3 a^{-9} +3 z^2 a^{-2} +6 z^2 a^{-4} +12 z^2 a^{-6} +26 z^2 a^{-8} +17 z^2 a^{-10} +2 z a^{-3} -2 z a^{-5} -12 z a^{-7} -8 z a^{-9} -3 a^{-2} -2 a^{-4} - a^{-8} - a^{-10} }[/math]



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