K13n3320

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Polynomial invariants

Jones polynomial Data:K13n3320/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-6 t^2+9 t-9+9 t^{-1} -6 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n3320/Conway Polynomial
Determinant 43
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+4 a^2 z^4-z^4 a^{-2} +4 z^4-3 a^4 z^2+5 a^2 z^2-3 z^2 a^{-2} +4 z^2-2 a^4+3 a^2- a^{-2} +1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+a^5 z^9-3 a^3 z^9-2 a z^9+2 z^9 a^{-1} -13 a^4 z^8-22 a^2 z^8+z^8 a^{-2} -8 z^8-7 a^5 z^7-7 a^3 z^7-9 a z^7-9 z^7 a^{-1} +28 a^4 z^6+35 a^2 z^6-4 z^6 a^{-2} +3 z^6+17 a^5 z^5+27 a^3 z^5+19 a z^5+10 z^5 a^{-1} +z^5 a^{-3} -24 a^4 z^4-20 a^2 z^4+4 z^4 a^{-2} +8 z^4-16 a^5 z^3-22 a^3 z^3-9 a z^3-6 z^3 a^{-1} -3 z^3 a^{-3} +9 a^4 z^2+9 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} -6 z^2+4 a^5 z+6 a^3 z+2 a z+z a^{-3} +z a^{-5} -2 a^4-3 a^2+ a^{-2} +1 }[/math]



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