K13n2696

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Polynomial invariants

Jones polynomial Data:K13n2696/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+13 t^2-34 t+47-34 t^{-1} +13 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2696/Conway Polynomial
Determinant 145
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -2 a^2 z^2-z^2 a^{-2} +3 z^2+a^4-3 a^2- a^{-2} +4 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+5 z^{10} a^{-2} +6 z^{10}+a z^9+11 z^9 a^{-1} +10 z^9 a^{-3} -2 a^2 z^8+z^8 a^{-2} +10 z^8 a^{-4} -11 z^8+a^3 z^7-5 a z^7-30 z^7 a^{-1} -19 z^7 a^{-3} +5 z^7 a^{-5} +9 a^2 z^6-24 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +8 z^6+6 a^3 z^5+22 a z^5+27 z^5 a^{-1} +2 z^5 a^{-3} -9 z^5 a^{-5} +2 a^4 z^4-a^2 z^4+22 z^4 a^{-2} +9 z^4 a^{-4} -z^4 a^{-6} +9 z^4-9 a^3 z^3-20 a z^3-9 z^3 a^{-1} +4 z^3 a^{-3} +2 z^3 a^{-5} -2 a^4 z^2-8 a^2 z^2-7 z^2 a^{-2} -z^2 a^{-4} -12 z^2+2 a^3 z+4 a z+2 z a^{-1} +a^4+3 a^2+ a^{-2} +4 }[/math]



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