K13n1548

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Polynomial invariants

Jones polynomial Data:K13n1548/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+5 t^2-11 t+15-11 t^{-1} +5 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n1548/Conway Polynomial
Determinant 49
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-4} +2 z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +5 z^2 a^{-2} -6 z^2 a^{-4} +2 z^2 a^{-6} -z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/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} +z^9 a^{-1} -z^9 a^{-3} +z^9 a^{-5} +3 z^9 a^{-7} -11 z^8 a^{-2} -26 z^8 a^{-4} -14 z^8 a^{-6} +z^8 a^{-8} -6 z^7 a^{-1} -16 z^7 a^{-3} -26 z^7 a^{-5} -16 z^7 a^{-7} +19 z^6 a^{-2} +39 z^6 a^{-4} +15 z^6 a^{-6} -5 z^6 a^{-8} +11 z^5 a^{-1} +36 z^5 a^{-3} +50 z^5 a^{-5} +25 z^5 a^{-7} -19 z^4 a^{-2} -26 z^4 a^{-4} -2 z^4 a^{-6} +7 z^4 a^{-8} -2 z^4-a z^3-11 z^3 a^{-1} -29 z^3 a^{-3} -33 z^3 a^{-5} -14 z^3 a^{-7} +11 z^2 a^{-2} +11 z^2 a^{-4} -3 z^2 a^{-8} +3 z^2+a z+4 z a^{-1} +8 z a^{-3} +8 z a^{-5} +3 z a^{-7} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math]



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