K13n3980

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Polynomial invariants

Jones polynomial Data:K13n3980/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+3 t^3-2 t^2-3 t+7-3 t^{-1} -2 t^{-2} +3 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3980/Conway Polynomial
Determinant 1
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^8+a^2 z^6-6 z^6+4 a^2 z^4+z^4 a^{-2} +z^4 a^{-4} -10 z^4+3 a^2 z^2+z^2 a^{-2} +z^2 a^{-4} -5 z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+z^{10} a^{-2} +4 z^{10}+3 a^3 z^9-3 a z^9-5 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-18 a^2 z^8-6 z^8 a^{-2} +3 z^8 a^{-4} -28 z^8-17 a^3 z^7-11 a z^7-3 z^7 a^{-3} +3 z^7 a^{-5} -5 a^4 z^6+30 a^2 z^6+7 z^6 a^{-2} -12 z^6 a^{-4} +z^6 a^{-6} +55 z^6+26 a^3 z^5+32 a z^5+12 z^5 a^{-1} -5 z^5 a^{-3} -11 z^5 a^{-5} +6 a^4 z^4-19 a^2 z^4-4 z^4 a^{-2} +8 z^4 a^{-4} -3 z^4 a^{-6} -40 z^4-12 a^3 z^3-20 a z^3-7 z^3 a^{-1} +8 z^3 a^{-3} +7 z^3 a^{-5} -a^4 z^2+5 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +10 z^2+a^3 z+2 a z-2 z a^{-3} -z a^{-5} +1 }[/math]



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