K13n3674

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Polynomial invariants

Jones polynomial Data:K13n3674/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-2 t^3+t^2+t-1+ t^{-1} + t^{-2} -2 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3674/Conway Polynomial
Determinant 5
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+7 a^2 z^6-5 a^4 z^4+16 a^2 z^4-z^4 a^{-2} -z^4-7 a^4 z^2+15 a^2 z^2-2 z^2 a^{-2} -3 z^2-3 a^4+6 a^2-2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+2 a^3 z^9+a z^9+z^9 a^{-1} +2 a^6 z^8-5 a^4 z^8-8 a^2 z^8+2 z^8 a^{-2} +z^8+a^7 z^7-10 a^5 z^7-13 a^3 z^7-8 a z^7-5 z^7 a^{-1} +z^7 a^{-3} -10 a^6 z^6+6 a^4 z^6+21 a^2 z^6-11 z^6 a^{-2} -6 z^6-5 a^7 z^5+11 a^5 z^5+23 a^3 z^5+17 a z^5+5 z^5 a^{-1} -5 z^5 a^{-3} +12 a^6 z^4-7 a^4 z^4-30 a^2 z^4+16 z^4 a^{-2} +5 z^4+6 a^7 z^3-2 a^5 z^3-17 a^3 z^3-16 a z^3-z^3 a^{-1} +6 z^3 a^{-3} -4 a^6 z^2+9 a^4 z^2+21 a^2 z^2-6 z^2 a^{-2} +2 z^2-2 a^7 z+5 a^3 z+4 a z-z a^{-3} -3 a^4-6 a^2-2 }[/math]



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