K13n3313

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Polynomial invariants

Jones polynomial Data:K13n3313/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+11 t^2-19 t+23-19 t^{-1} +11 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n3313/Conway Polynomial
Determinant 89
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6-z^6 a^4-2 z^4 a^4+z^2 a^4+2 a^4-2 z^6 a^2-8 z^4 a^2-10 z^2 a^2-4 a^2+2 z^4+5 z^2+3 }[/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+2 a^3 z^9+2 a z^9+a^8 z^8-11 a^6 z^8-14 a^4 z^8-a^2 z^8+z^8-15 a^7 z^7-24 a^5 z^7-12 a^3 z^7-3 a z^7-5 a^8 z^6+7 a^6 z^6-14 a^2 z^6-2 z^6+24 a^7 z^5+28 a^5 z^5+2 a^3 z^5-a z^5+z^5 a^{-1} +8 a^8 z^4+5 a^6 z^4+12 a^4 z^4+23 a^2 z^4+8 z^4-13 a^7 z^3-7 a^5 z^3+6 a^3 z^3+3 a z^3+3 z^3 a^{-1} -4 a^8 z^2-2 a^6 z^2-6 a^4 z^2-18 a^2 z^2+2 z^2 a^{-2} -8 z^2+a^7 z-2 a^3 z-2 a z-z a^{-1} +2 a^4+4 a^2+3 }[/math]



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