K13n2692

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Polynomial invariants

Jones polynomial Data:K13n2692/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-9 t^2+19 t-23+19 t^{-1} -9 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n2692/Conway Polynomial
Determinant 83
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +3 z^4-2 a^2 z^2-z^2 a^{-4} +4 z^2-a^2- a^{-2} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10}+4 a z^9+z^9 a^{-1} -3 z^9 a^{-3} +3 a^2 z^8-14 z^8 a^{-2} -3 z^8 a^{-4} -8 z^8+a^3 z^7-14 a z^7-10 z^7 a^{-1} +7 z^7 a^{-3} +2 z^7 a^{-5} -12 a^2 z^6+18 z^6 a^{-2} +6 z^6 a^{-4} -4 a^3 z^5+10 a z^5+6 z^5 a^{-1} -11 z^5 a^{-3} -3 z^5 a^{-5} +13 a^2 z^4-11 z^4 a^{-2} -2 z^4 a^{-4} +3 z^4 a^{-6} +7 z^4+4 a^3 z^3+a z^3+2 z^3 a^{-1} +11 z^3 a^{-3} +7 z^3 a^{-5} +z^3 a^{-7} -5 a^2 z^2+z^2 a^{-4} -z^2 a^{-6} -7 z^2-a^3 z-2 a z-3 z a^{-1} -4 z a^{-3} -3 z a^{-5} -z a^{-7} +a^2+ a^{-2} +3 }[/math]



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