K13n2971

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Polynomial invariants

Jones polynomial Data:K13n2971/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 4 t^2-20 t+33-20 t^{-1} +4 t^{-2} }[/math]
Conway polynomial Data:K13n2971/Conway Polynomial
Determinant 81
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ 2 z^4 a^{-2} +z^4 a^{-4} +z^4-a^2 z^2+z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-6} -z^2+a^2- a^{-6} + a^{-8} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -2 z^9 a^{-3} -2 z^9 a^{-5} +2 z^9 a^{-7} -5 z^8 a^{-2} -17 z^8 a^{-4} -9 z^8 a^{-6} +z^8 a^{-8} +2 z^8+a z^7+7 z^7 a^{-3} -3 z^7 a^{-5} -11 z^7 a^{-7} +11 z^6 a^{-2} +29 z^6 a^{-4} +11 z^6 a^{-6} -6 z^6 a^{-8} -z^6+2 a z^5-8 z^5 a^{-1} -24 z^5 a^{-3} +5 z^5 a^{-5} +19 z^5 a^{-7} +4 a^2 z^4-21 z^4 a^{-2} -31 z^4 a^{-4} -2 z^4 a^{-6} +11 z^4 a^{-8} +z^4+a^3 z^3+9 z^3 a^{-1} +21 z^3 a^{-3} -11 z^3 a^{-7} -2 a^2 z^2+10 z^2 a^{-2} +12 z^2 a^{-4} -2 z^2 a^{-6} -6 z^2 a^{-8} -2 z a^{-1} -6 z a^{-3} -2 z a^{-5} +2 z a^{-7} -a^2+ a^{-6} + a^{-8} }[/math]



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