K13n2484

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Polynomial invariants

Jones polynomial Data:K13n2484/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -6 t^2+22 t-31+22 t^{-1} -6 t^{-2} }[/math]
Conway polynomial Data:K13n2484/Conway Polynomial
Determinant 87
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -3 z^4 a^{-2} -2 z^4 a^{-4} -z^4+a^2 z^2-4 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2 a^{-6} +z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10} a^{-6} +5 z^9 a^{-1} +z^9 a^{-3} -4 z^9 a^{-5} -7 z^8 a^{-2} -17 z^8 a^{-4} -5 z^8 a^{-6} +5 z^8+3 a z^7-17 z^7 a^{-1} -13 z^7 a^{-3} +8 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-2 z^6 a^{-2} +31 z^6 a^{-4} +15 z^6 a^{-6} -17 z^6-9 a z^5+18 z^5 a^{-1} +26 z^5 a^{-3} +z^5 a^{-5} +2 z^5 a^{-7} -3 a^2 z^4+18 z^4 a^{-2} -18 z^4 a^{-4} -15 z^4 a^{-6} +2 z^4 a^{-8} +16 z^4+4 a z^3-8 z^3 a^{-1} -14 z^3 a^{-3} -9 z^3 a^{-5} -7 z^3 a^{-7} +a^2 z^2-12 z^2 a^{-2} +4 z^2 a^{-4} +4 z^2 a^{-6} -3 z^2 a^{-8} -8 z^2+z a^{-1} +3 z a^{-3} +5 z a^{-5} +3 z a^{-7} + a^{-2} - a^{-4} - a^{-6} +2 }[/math]



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