K13n2044

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Polynomial invariants

Jones polynomial Data:K13n2044/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+16 t^2-36 t+47-36 t^{-1} +16 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K13n2044/Conway Polynomial
Determinant 157
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -a^2 z^6-2 z^6+a^4 z^4-a^2 z^4+3 z^4 a^{-2} -5 z^4+a^4 z^2+5 z^2 a^{-2} -z^2 a^{-4} -4 z^2+2 a^{-2} - a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +4 a^2 z^{10}+2 z^{10} a^{-2} +6 z^{10}+7 a^3 z^9+10 a z^9+4 z^9 a^{-1} +z^9 a^{-3} +7 a^4 z^8+4 a^2 z^8-2 z^8 a^{-2} -5 z^8+4 a^5 z^7-8 a^3 z^7-17 a z^7-3 z^7 a^{-1} +2 z^7 a^{-3} +a^6 z^6-14 a^4 z^6-19 a^2 z^6+12 z^6 a^{-2} +4 z^6 a^{-4} +4 z^6-9 a^5 z^5-7 a^3 z^5+3 a z^5+z^5 a^{-1} +z^5 a^{-3} +z^5 a^{-5} -2 a^6 z^4+7 a^4 z^4+10 a^2 z^4-17 z^4 a^{-2} -6 z^4 a^{-4} -10 z^4+6 a^5 z^3+9 a^3 z^3+5 a z^3-4 z^3 a^{-3} -2 z^3 a^{-5} +a^6 z^2-a^4 z^2-a^2 z^2+9 z^2 a^{-2} +3 z^2 a^{-4} +7 z^2-a^5 z-3 a^3 z-3 a z-z a^{-1} +z a^{-3} +z a^{-5} -2 a^{-2} - a^{-4} }[/math]



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