K13n2296

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Polynomial invariants

Jones polynomial Data:K13n2296/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -5 t+11-5 t^{-1} }[/math]
Conway polynomial Data:K13n2296/Conway Polynomial
Determinant 21
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^6+2 a^6-z^4 a^4-4 z^2 a^4-3 a^4-z^2 a^2+a^2+z^4+z^2+1-2 z^2 a^{-2} - a^{-2} + a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+a^6 z^{10}+2 a^4 z^{10}+a^2 z^{10}-9 a^5 z^9-9 a^3 z^9-9 a^6 z^8-18 a^4 z^8-9 a^2 z^8+28 a^5 z^7+27 a^3 z^7+z^7 a^{-1} +28 a^6 z^6+53 a^4 z^6+26 a^2 z^6+2 z^6 a^{-2} +3 z^6-38 a^5 z^5-35 a^3 z^5+3 a z^5+2 z^5 a^{-1} +2 z^5 a^{-3} -36 a^6 z^4-62 a^4 z^4-26 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -2 z^4+23 a^5 z^3+23 a^3 z^3-a z^3-4 z^3 a^{-1} -3 z^3 a^{-3} +17 a^6 z^2+27 a^4 z^2+9 a^2 z^2-2 z^2 a^{-2} -2 z^2 a^{-4} -z^2-5 a^5 z-6 a^3 z-a z+z a^{-1} +z a^{-3} -2 a^6-3 a^4-a^2+ a^{-2} + a^{-4} +1 }[/math]



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