K13n3633

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Polynomial invariants

Jones polynomial Data:K13n3633/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+2 t^3+2 t^2-10 t+15-10 t^{-1} +2 t^{-2} +2 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3633/Conway Polynomial
Determinant 33
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +6 z^4 a^{-4} -14 z^4 a^{-6} +z^4 a^{-8} +z^4 a^{-10} +9 z^2 a^{-4} -10 z^2 a^{-6} -z^2 a^{-8} +2 z^2 a^{-10} +4 a^{-4} -2 a^{-6} -3 a^{-8} +2 a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-5} +z^9 a^{-7} +3 z^9 a^{-9} +3 z^9 a^{-11} +z^8 a^{-4} +z^8 a^{-6} -6 z^8 a^{-8} -3 z^8 a^{-10} +3 z^8 a^{-12} -7 z^7 a^{-5} -8 z^7 a^{-7} -18 z^7 a^{-9} -15 z^7 a^{-11} +2 z^7 a^{-13} -7 z^6 a^{-4} -10 z^6 a^{-6} +10 z^6 a^{-8} -12 z^6 a^{-12} +z^6 a^{-14} +12 z^5 a^{-5} +17 z^5 a^{-7} +40 z^5 a^{-9} +28 z^5 a^{-11} -7 z^5 a^{-13} +15 z^4 a^{-4} +23 z^4 a^{-6} -3 z^4 a^{-8} +6 z^4 a^{-10} +13 z^4 a^{-12} -4 z^4 a^{-14} -3 z^3 a^{-5} -10 z^3 a^{-7} -38 z^3 a^{-9} -27 z^3 a^{-11} +4 z^3 a^{-13} -13 z^2 a^{-4} -15 z^2 a^{-6} +3 z^2 a^{-8} -4 z^2 a^{-10} -6 z^2 a^{-12} +3 z^2 a^{-14} -3 z a^{-5} +3 z a^{-7} +15 z a^{-9} +9 z a^{-11} +4 a^{-4} +2 a^{-6} -3 a^{-8} -2 a^{-10} }[/math]



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