K13n3490

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Polynomial invariants

Jones polynomial Data:K13n3490/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+2 t^3+t^2-5 t+7-5 t^{-1} + t^{-2} +2 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3490/Conway Polynomial
Determinant 13
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} -15 z^4 a^{-6} +z^4 a^{-8} +z^4 a^{-10} +10 z^2 a^{-4} -12 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} +4 a^{-4} -3 a^{-6} - a^{-8} + a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ z^9 a^{-5} +z^9 a^{-11} +z^8 a^{-4} +2 z^8 a^{-6} +z^8 a^{-10} +2 z^8 a^{-12} -6 z^7 a^{-5} -4 z^7 a^{-11} +2 z^7 a^{-13} -7 z^6 a^{-4} -14 z^6 a^{-6} -2 z^6 a^{-8} -4 z^6 a^{-10} -8 z^6 a^{-12} +z^6 a^{-14} +9 z^5 a^{-5} -4 z^5 a^{-7} -z^5 a^{-9} +4 z^5 a^{-11} -8 z^5 a^{-13} +16 z^4 a^{-4} +27 z^4 a^{-6} +3 z^4 a^{-8} +3 z^4 a^{-10} +7 z^4 a^{-12} -4 z^4 a^{-14} -z^3 a^{-5} +8 z^3 a^{-7} -2 z^3 a^{-11} +7 z^3 a^{-13} -14 z^2 a^{-4} -17 z^2 a^{-6} +2 z^2 a^{-8} -2 z^2 a^{-12} +3 z^2 a^{-14} -3 z a^{-5} -2 z a^{-7} +2 z a^{-9} -z a^{-11} -2 z a^{-13} +4 a^{-4} +3 a^{-6} - a^{-8} - a^{-10} }[/math]



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