K13n1702

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Polynomial invariants

Jones polynomial Data:K13n1702/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-8 t^2+17 t-21+17 t^{-1} -8 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1702/Conway Polynomial
Determinant 75
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^6+a^6-3 z^4 a^4-8 z^2 a^4-6 a^4+2 z^6 a^2+9 z^4 a^2+15 z^2 a^2+9 a^2-2 z^4-5 z^2-3 }[/math]
Kauffman polynomial [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+4 a^3 z^9+2 a z^9+a^6 z^8+z^8-5 a^5 z^7-9 a^3 z^7-4 a z^7+a^6 z^6+3 a^4 z^6+4 a^2 z^6+2 z^6+4 a^7 z^5+15 a^5 z^5+16 a^3 z^5+8 a z^5+3 z^5 a^{-1} +a^8 z^4+a^6 z^4-7 a^4 z^4-17 a^2 z^4-10 z^4-5 a^7 z^3-16 a^5 z^3-20 a^3 z^3-16 a z^3-7 z^3 a^{-1} -a^8 z^2-a^6 z^2+11 a^4 z^2+19 a^2 z^2+8 z^2+a^7 z+7 a^5 z+11 a^3 z+8 a z+3 z a^{-1} -a^6-6 a^4-9 a^2-3 }[/math]



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