K13n3094

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Polynomial invariants

Jones polynomial Data:K13n3094/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+5 t^2-6 t+5-6 t^{-1} +5 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n3094/Conway Polynomial
Determinant 29
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-8} +z^4 a^{-4} +2 z^4 a^{-6} -5 z^4 a^{-8} +z^4 a^{-10} +3 z^2 a^{-4} +6 z^2 a^{-6} -8 z^2 a^{-8} +4 z^2 a^{-10} + a^{-4} +3 a^{-6} -5 a^{-8} +3 a^{-10} - a^{-12} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +2 z^9 a^{-9} +z^9 a^{-11} -7 z^8 a^{-8} -7 z^8 a^{-10} -6 z^7 a^{-7} -12 z^7 a^{-9} -6 z^7 a^{-11} +2 z^6 a^{-6} +20 z^6 a^{-8} +20 z^6 a^{-10} +2 z^6 a^{-12} +z^5 a^{-5} +14 z^5 a^{-7} +27 z^5 a^{-9} +15 z^5 a^{-11} +z^5 a^{-13} +z^4 a^{-4} -7 z^4 a^{-6} -26 z^4 a^{-8} -25 z^4 a^{-10} -7 z^4 a^{-12} -2 z^3 a^{-5} -11 z^3 a^{-7} -22 z^3 a^{-9} -17 z^3 a^{-11} -4 z^3 a^{-13} -3 z^2 a^{-4} +9 z^2 a^{-6} +20 z^2 a^{-8} +13 z^2 a^{-10} +5 z^2 a^{-12} +4 z a^{-7} +6 z a^{-9} +5 z a^{-11} +3 z a^{-13} + a^{-4} -3 a^{-6} -5 a^{-8} -3 a^{-10} - a^{-12} }[/math]



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