K13n3523

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Polynomial invariants

Jones polynomial Data:K13n3523/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t+5-2 t^{-1} }[/math]
Conway polynomial Data:K13n3523/Conway Polynomial
Determinant 9
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^{-6} -z^2 a^{-8} + a^{-4} - a^{-6} - a^{-8} + a^{-10} +1 }[/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} -8 z^8 a^{-6} -17 z^8 a^{-8} -9 z^8 a^{-10} +z^7 a^{-5} +30 z^7 a^{-7} +29 z^7 a^{-9} +21 z^6 a^{-6} +49 z^6 a^{-8} +28 z^6 a^{-10} -7 z^5 a^{-5} -49 z^5 a^{-7} -42 z^5 a^{-9} -21 z^4 a^{-6} -56 z^4 a^{-8} -35 z^4 a^{-10} +13 z^3 a^{-5} +42 z^3 a^{-7} +29 z^3 a^{-9} -z^2 a^{-4} +6 z^2 a^{-6} +22 z^2 a^{-8} +15 z^2 a^{-10} -6 z a^{-5} -14 z a^{-7} -8 z a^{-9} + a^{-4} + a^{-6} - a^{-8} - a^{-10} +1 }[/math]



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