K13n3955

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Polynomial invariants

Jones polynomial Data:K13n3955/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-9 t^2+19 t-23+19 t^{-1} -9 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n3955/Conway Polynomial
Determinant 83
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^6+a^6-3 z^4 a^4-7 z^2 a^4-4 a^4+2 z^6 a^2+8 z^4 a^2+11 z^2 a^2+5 a^2-2 z^4-4 z^2-1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+4 a^5 z^9+7 a^3 z^9+3 a z^9+2 a^6 z^8-4 a^4 z^8-5 a^2 z^8+z^8-16 a^5 z^7-24 a^3 z^7-8 a z^7-4 a^6 z^6+7 a^4 z^6+15 a^2 z^6+4 z^6+4 a^7 z^5+34 a^5 z^5+41 a^3 z^5+14 a z^5+3 z^5 a^{-1} +a^8 z^4+8 a^6 z^4-6 a^4 z^4-28 a^2 z^4-15 z^4-6 a^7 z^3-25 a^5 z^3-32 a^3 z^3-19 a z^3-6 z^3 a^{-1} -2 a^8 z^2-3 a^6 z^2+9 a^4 z^2+19 a^2 z^2+9 z^2+2 a^7 z+7 a^5 z+9 a^3 z+6 a z+2 z a^{-1} -a^6-4 a^4-5 a^2-1 }[/math]



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