K13n3232

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Polynomial invariants

Jones polynomial Data:K13n3232/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-5 t^2+6 t-3+6 t^{-1} -5 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n3232/Conway Polynomial
Determinant 27
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +4 z^4+a^4 z^2-6 a^2 z^2-3 z^2 a^{-2} +3 z^2+2 a^4-2 a^2+ a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+2 a^3 z^9-4 a z^9-6 z^9 a^{-1} +a^4 z^8-10 a^2 z^8-7 z^8 a^{-2} -18 z^8-11 a^3 z^7+a z^7+12 z^7 a^{-1} -6 a^4 z^6+10 a^2 z^6+17 z^6 a^{-2} +33 z^6+16 a^3 z^5+a z^5-16 z^5 a^{-1} -z^5 a^{-3} +11 a^4 z^4+4 a^2 z^4-22 z^4 a^{-2} -z^4 a^{-4} -28 z^4-6 a^3 z^3+8 a z^3+15 z^3 a^{-1} +z^3 a^{-3} -8 a^4 z^2-6 a^2 z^2+11 z^2 a^{-2} +z^2 a^{-4} +12 z^2-7 a z-9 z a^{-1} -2 z a^{-3} +2 a^4+2 a^2+ a^{-4} }[/math]



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