K13n1726

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Polynomial invariants

Jones polynomial Data:K13n1726/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 3 t^3-14 t^2+32 t-41+32 t^{-1} -14 t^{-2} +3 t^{-3} }[/math]
Conway polynomial Data:K13n1726/Conway Polynomial
Determinant 139
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ 2 z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +7 z^4 a^{-4} -z^4 a^{-8} -3 z^2 a^{-2} +11 z^2 a^{-4} -5 z^2 a^{-6} - a^{-2} +6 a^{-4} -5 a^{-6} + a^{-8} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +10 z^{10} a^{-6} +7 z^{10} a^{-8} +z^9 a^{-3} +8 z^9 a^{-7} +9 z^9 a^{-9} -8 z^8 a^{-4} -29 z^8 a^{-6} -16 z^8 a^{-8} +5 z^8 a^{-10} -10 z^7 a^{-5} -39 z^7 a^{-7} -28 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} +10 z^6 a^{-4} +22 z^6 a^{-6} -z^6 a^{-8} -14 z^6 a^{-10} +2 z^5 a^{-3} +11 z^5 a^{-5} +30 z^5 a^{-7} +19 z^5 a^{-9} -2 z^5 a^{-11} +5 z^4 a^{-2} +7 z^4 a^{-4} +6 z^4 a^{-8} +8 z^4 a^{-10} +2 z^3 a^{-1} +4 z^3 a^{-3} +5 z^3 a^{-5} +z^3 a^{-7} -z^3 a^{-9} +z^3 a^{-11} -5 z^2 a^{-2} -14 z^2 a^{-4} -9 z^2 a^{-6} -z a^{-1} -3 z a^{-3} -7 z a^{-5} -6 z a^{-7} -z a^{-9} + a^{-2} +6 a^{-4} +5 a^{-6} + a^{-8} }[/math]



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