K13n2196

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Polynomial invariants

Jones polynomial Data:K13n2196/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+5 t^3-10 t^2+15 t-17+15 t^{-1} -10 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n2196/Conway Polynomial
Determinant 79
Signature 6
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -5 z^6 a^{-6} +z^6 a^{-8} +4 z^4 a^{-4} -7 z^4 a^{-6} +3 z^4 a^{-8} +5 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +2 a^{-4} - a^{-8} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +5 z^{10} a^{-8} +2 z^{10} a^{-10} +3 z^9 a^{-5} +3 z^9 a^{-7} +z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} -10 z^8 a^{-6} -17 z^8 a^{-8} -6 z^8 a^{-10} -14 z^7 a^{-5} -27 z^7 a^{-7} -14 z^7 a^{-9} -z^7 a^{-11} -5 z^6 a^{-4} +9 z^6 a^{-8} +6 z^6 a^{-10} +2 z^6 a^{-12} +19 z^5 a^{-5} +38 z^5 a^{-7} +18 z^5 a^{-9} -z^5 a^{-11} +9 z^4 a^{-4} +17 z^4 a^{-6} +4 z^4 a^{-8} -6 z^4 a^{-10} -2 z^4 a^{-12} -7 z^3 a^{-5} -18 z^3 a^{-7} -14 z^3 a^{-9} +3 z^3 a^{-13} -7 z^2 a^{-4} -7 z^2 a^{-6} -z^2 a^{-8} +2 z^2 a^{-12} +z^2 a^{-14} +4 z a^{-7} +4 z a^{-9} +2 a^{-4} - a^{-8} }[/math]



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