K13n3414

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Polynomial invariants

Jones polynomial Data:K13n3414/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+4 t^2-11 t+17-11 t^{-1} +4 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n3414/Conway Polynomial
Determinant 49
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^6+z^4 a^4+z^2 a^4-z^6 a^2-4 z^4 a^2-6 z^2 a^2-2 a^2+z^4+z^2+1+ a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+4 a^3 z^9+3 a z^9-2 a^4 z^8+2 z^8-a^5 z^7-15 a^3 z^7-14 a z^7+3 a^6 z^6-12 a^2 z^6-9 z^6-7 a^5 z^5+15 a^3 z^5+23 a z^5+z^5 a^{-1} -11 a^6 z^4-6 a^4 z^4+21 a^2 z^4+16 z^4+8 a^5 z^3-5 a^3 z^3-13 a z^3+9 a^6 z^2+5 a^4 z^2-12 a^2 z^2+z^2 a^{-2} -7 z^2-3 a^5 z-a^3 z+3 a z+z a^{-1} -a^6+2 a^2- a^{-2} +1 }[/math]



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