K13n2067

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Polynomial invariants

Jones polynomial Data:K13n2067/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^2+5 t-5+5 t^{-1} -2 t^{-2} }[/math]
Conway polynomial Data:K13n2067/Conway Polynomial
Determinant 19
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^{-2} -z^4+a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} -3 z^2+2 a^2+ a^{-4} -2 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+2 z^{10} a^{-2} +3 z^{10}-7 a z^9-5 z^9 a^{-1} +2 z^9 a^{-3} -8 a^2 z^8-12 z^8 a^{-2} +z^8 a^{-4} -21 z^8+16 a z^7+4 z^7 a^{-1} -12 z^7 a^{-3} +22 a^2 z^6+20 z^6 a^{-2} -6 z^6 a^{-4} +48 z^6-a^3 z^5-16 a z^5+5 z^5 a^{-1} +20 z^5 a^{-3} -a^4 z^4-28 a^2 z^4-10 z^4 a^{-2} +10 z^4 a^{-4} -47 z^4+a^3 z^3+5 a z^3-6 z^3 a^{-1} -10 z^3 a^{-3} +2 a^4 z^2+14 a^2 z^2+z^2 a^{-2} -5 z^2 a^{-4} +18 z^2-a z+z a^{-1} +2 z a^{-3} -2 a^2+ a^{-4} -2 }[/math]



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