K13n3408

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Polynomial invariants

Jones polynomial Data:K13n3408/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3408/Conway Polynomial
Determinant 81
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-3 z^4 a^4-4 z^2 a^4-3 a^4-z^6 a^2-2 z^4 a^2+z^2 a^2+3 a^2+z^4+z^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+5 a^4 z^{10}+2 a^2 z^{10}+3 a^7 z^9+3 a^5 z^9+a^3 z^9+a z^9+a^8 z^8-11 a^6 z^8-17 a^4 z^8-5 a^2 z^8-15 a^7 z^7-27 a^5 z^7-12 a^3 z^7-5 a^8 z^6+6 a^6 z^6+12 a^4 z^6+3 a^2 z^6+2 z^6+24 a^7 z^5+40 a^5 z^5+12 a^3 z^5-4 a z^5+8 a^8 z^4+7 a^6 z^4-5 a^4 z^4-5 a^2 z^4-z^4-14 a^7 z^3-23 a^5 z^3-10 a^3 z^3+2 a z^3+3 z^3 a^{-1} -4 a^8 z^2-2 a^6 z^2+6 a^4 z^2+4 a^2 z^2+z^2 a^{-2} +z^2+3 a^7 z+7 a^5 z+5 a^3 z+a z-a^6-3 a^4-3 a^2 }[/math]



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