K13n2319

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Polynomial invariants

Jones polynomial Data:K13n2319/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-8 t^2+23 t-31+23 t^{-1} -8 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n2319/Conway Polynomial
Determinant 95
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-4} -3 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -5 z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} +2 z^2-2 a^{-2} +2 a^{-6} - a^{-8} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +3 z^9 a^{-3} +5 z^9 a^{-5} +2 z^9 a^{-7} +3 z^8 a^{-2} +6 z^8 a^{-4} +4 z^8 a^{-6} +z^8 a^{-8} +z^7 a^{-1} -2 z^7 a^{-3} -2 z^7 a^{-5} +z^7 a^{-7} -4 z^6 a^{-2} -13 z^6 a^{-4} -5 z^6 a^{-6} +4 z^6 a^{-8} +3 z^5 a^{-1} -13 z^5 a^{-5} -7 z^5 a^{-7} +3 z^5 a^{-9} +10 z^4 a^{-2} +10 z^4 a^{-4} -9 z^4 a^{-6} -12 z^4 a^{-8} +3 z^4-4 z^3 a^{-1} +5 z^3 a^{-3} +16 z^3 a^{-5} +2 z^3 a^{-7} -5 z^3 a^{-9} -10 z^2 a^{-2} -z^2 a^{-4} +10 z^2 a^{-6} +6 z^2 a^{-8} -5 z^2-3 z a^{-3} -5 z a^{-5} -z a^{-7} +z a^{-9} +2 a^{-2} -2 a^{-6} - a^{-8} +2 }[/math]



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