K13n1733

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Polynomial invariants

Jones polynomial Data:K13n1733/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^2-6 t+9-6 t^{-1} +2 t^{-2} }[/math]
Conway polynomial Data:K13n1733/Conway Polynomial
Determinant 25
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^6-z^6-a^4 z^4+7 a^2 z^4+z^4 a^{-2} -5 z^4-4 a^4 z^2+13 a^2 z^2+2 z^2 a^{-2} -9 z^2-3 a^4+7 a^2+ a^{-2} -4 }[/math]
Kauffman polynomial [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+a^3 z^9-9 a^4 z^8-11 a^2 z^8-2 z^8-8 a^5 z^7-11 a^3 z^7-3 a z^7+26 a^4 z^6+40 a^2 z^6+3 z^6 a^{-2} +17 z^6+20 a^5 z^5+36 a^3 z^5+23 a z^5+10 z^5 a^{-1} +3 z^5 a^{-3} -29 a^4 z^4-54 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} -30 z^4-18 a^5 z^3-40 a^3 z^3-35 a z^3-18 z^3 a^{-1} -5 z^3 a^{-3} +14 a^4 z^2+30 a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} +20 z^2+6 a^5 z+14 a^3 z+14 a z+8 z a^{-1} +2 z a^{-3} -3 a^4-7 a^2- a^{-2} -4 }[/math]



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