K13n3183

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Polynomial invariants

Jones polynomial Data:K13n3183/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-5 t^2+10 t-11+10 t^{-1} -5 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n3183/Conway Polynomial
Determinant 43
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +4 z^4+a^4 z^2-5 a^2 z^2-2 z^2 a^{-2} +5 z^2+a^4-2 a^2+2 }[/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 z^9 a^{-1} +a^4 z^8-14 a^2 z^8-4 z^8 a^{-2} -19 z^8-16 a^3 z^7-21 a z^7-4 z^7 a^{-1} +z^7 a^{-3} -5 a^4 z^6+12 a^2 z^6+z^6 a^{-2} +18 z^6+24 a^3 z^5+40 a z^5+11 z^5 a^{-1} -5 z^5 a^{-3} +7 a^4 z^4+9 a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +6 z^4-12 a^3 z^3-22 a z^3-7 z^3 a^{-1} +3 z^3 a^{-3} -4 a^4 z^2-11 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} -10 z^2+2 a^3 z+3 a z+z a^{-1} +a^4+2 a^2+2 }[/math]



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