K13n2887

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Polynomial invariants

Jones polynomial Data:K13n2887/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+8 t^2-14 t+17-14 t^{-1} +8 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2887/Conway Polynomial
Determinant 65
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -3 z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-6} +z^4-2 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^9 a^{-1} +z^9 a^{-5} +3 z^9 a^{-7} -7 z^8 a^{-2} -23 z^8 a^{-4} -14 z^8 a^{-6} +z^8 a^{-8} +z^8-9 z^7 a^{-1} -15 z^7 a^{-3} -22 z^7 a^{-5} -16 z^7 a^{-7} +4 z^6 a^{-2} +32 z^6 a^{-4} +18 z^6 a^{-6} -5 z^6 a^{-8} -5 z^6+13 z^5 a^{-1} +27 z^5 a^{-3} +40 z^5 a^{-5} +26 z^5 a^{-7} +2 z^4 a^{-2} -22 z^4 a^{-4} -8 z^4 a^{-6} +7 z^4 a^{-8} +9 z^4+a z^3-7 z^3 a^{-1} -21 z^3 a^{-3} -27 z^3 a^{-5} -14 z^3 a^{-7} -2 z^2 a^{-2} +6 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2 a^{-8} -4 z^2+2 z a^{-1} +6 z a^{-3} +6 z a^{-5} +2 z a^{-7} +1 }[/math]



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