K13n3494

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Polynomial invariants

Jones polynomial Data:K13n3494/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+6 t^2-7 t+7-7 t^{-1} +6 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3494/Conway Polynomial
Determinant 37
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} +z^4 a^{-2} -3 z^4 a^{-4} -4 z^4 a^{-6} +3 z^2 a^{-2} -z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-10} +2 a^{-2} - a^{-6} - a^{-8} + a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ z^9 a^{-5} +z^9 a^{-11} +2 z^8 a^{-4} +3 z^8 a^{-6} +z^8 a^{-12} +2 z^7 a^{-3} +4 z^7 a^{-7} -2 z^7 a^{-9} -8 z^7 a^{-11} +z^6 a^{-2} -4 z^6 a^{-4} -7 z^6 a^{-6} +2 z^6 a^{-8} -3 z^6 a^{-10} -7 z^6 a^{-12} -6 z^5 a^{-3} -5 z^5 a^{-5} -9 z^5 a^{-7} +9 z^5 a^{-9} +19 z^5 a^{-11} -4 z^4 a^{-2} -2 z^4 a^{-4} +5 z^4 a^{-6} -2 z^4 a^{-8} +9 z^4 a^{-10} +14 z^4 a^{-12} +3 z^3 a^{-3} +2 z^3 a^{-5} +7 z^3 a^{-7} -8 z^3 a^{-9} -16 z^3 a^{-11} +5 z^2 a^{-2} +2 z^2 a^{-4} -4 z^2 a^{-6} +4 z^2 a^{-8} -3 z^2 a^{-10} -8 z^2 a^{-12} +z a^{-3} -z a^{-5} -2 z a^{-7} +4 z a^{-9} +4 z a^{-11} -2 a^{-2} + a^{-6} - a^{-8} - a^{-10} }[/math]



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