K13n2868

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Polynomial invariants

Jones polynomial Data:K13n2868/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+4 t^3-6 t^2+5 t-3+5 t^{-1} -6 t^{-2} +4 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n2868/Conway Polynomial
Determinant 35
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+5 a^2 z^4+4 z^4 a^{-2} -11 z^4-a^4 z^2+6 a^2 z^2+3 z^2 a^{-2} -7 z^2-a^4+2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}-5 a z^9-2 z^9 a^{-1} +3 z^9 a^{-3} -7 a^2 z^8-17 z^8 a^{-2} +z^8 a^{-4} -25 z^8+5 a z^7-12 z^7 a^{-1} -17 z^7 a^{-3} +18 a^2 z^6+28 z^6 a^{-2} -5 z^6 a^{-4} +51 z^6+4 a z^5+31 z^5 a^{-1} +27 z^5 a^{-3} -a^4 z^4-24 a^2 z^4-17 z^4 a^{-2} +6 z^4 a^{-4} -46 z^4-2 a^3 z^3-11 a z^3-21 z^3 a^{-1} -12 z^3 a^{-3} +3 a^4 z^2+12 a^2 z^2+5 z^2 a^{-2} -z^2 a^{-4} +15 z^2+a^5 z+2 a^3 z+3 a z+3 z a^{-1} +z a^{-3} -a^4-2 a^2 }[/math]



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