K13n3554

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Polynomial invariants

Jones polynomial Data:K13n3554/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-7 t^2+13 t-13+13 t^{-1} -7 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n3554/Conway Polynomial
Determinant 55
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6-2 a^2 z^4-2 z^4 a^{-2} +3 z^4+a^4 z^2-5 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +2 z^2+2 a^4-2 a^2-2 a^{-2} +2 a^{-4} +1 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +4 z^{10}+2 a^3 z^9-2 a z^9-2 z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-8 a^2 z^8-9 z^8 a^{-2} +z^8 a^{-4} -19 z^8-10 a^3 z^7-4 a z^7-5 z^7 a^{-1} -11 z^7 a^{-3} -6 a^4 z^6+5 a^2 z^6+11 z^6 a^{-2} -6 z^6 a^{-4} +28 z^6+14 a^3 z^5+a z^5+7 z^5 a^{-1} +20 z^5 a^{-3} +12 a^4 z^4+5 a^2 z^4-4 z^4 a^{-2} +12 z^4 a^{-4} -23 z^4-5 a^3 z^3+9 a z^3-14 z^3 a^{-3} -9 a^4 z^2-5 a^2 z^2-3 z^2 a^{-2} -8 z^2 a^{-4} +9 z^2-5 a z-3 z a^{-1} +3 z a^{-3} +z a^{-5} +2 a^4+2 a^2+2 a^{-2} +2 a^{-4} +1 }[/math]



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