K13n2280

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Polynomial invariants

Jones polynomial Data:K13n2280/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+3 t^2-4 t+5-4 t^{-1} +3 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2280/Conway Polynomial
Determinant 21
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-4} -4 z^4 a^{-4} +z^4 a^{-6} -z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} +z^2-2 a^{-2} + a^{-4} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -5 z^9 a^{-3} -2 z^9 a^{-5} +3 z^9 a^{-7} -7 z^8 a^{-2} -25 z^8 a^{-4} -17 z^8 a^{-6} +z^8 a^{-8} +3 z^7 a^{-3} -14 z^7 a^{-5} -17 z^7 a^{-7} +14 z^6 a^{-2} +44 z^6 a^{-4} +25 z^6 a^{-6} -5 z^6 a^{-8} -z^5 a^{-1} +6 z^5 a^{-3} +33 z^5 a^{-5} +26 z^5 a^{-7} -11 z^4 a^{-2} -27 z^4 a^{-4} -10 z^4 a^{-6} +6 z^4 a^{-8} -2 z^3 a^{-1} -7 z^3 a^{-3} -17 z^3 a^{-5} -12 z^3 a^{-7} -2 z^2 a^{-2} +4 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} -3 z^2+z a^{-1} +2 z a^{-3} +2 z a^{-5} +z a^{-7} +2 a^{-2} + a^{-4} +2 }[/math]



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