K13n3351

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Polynomial invariants

Jones polynomial Data:K13n3351/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-5 t^3+11 t^2-12 t+11-12 t^{-1} +11 t^{-2} -5 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3351/Conway Polynomial
Determinant 69
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -3 z^4 a^{-2} +8 z^4 a^{-4} -4 z^4 a^{-6} -z^2 a^{-2} +7 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} +3 a^{-4} -2 a^{-6} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +4 z^9 a^{-3} +5 z^9 a^{-5} +z^9 a^{-7} +4 z^8 a^{-2} +6 z^8 a^{-4} +2 z^8 a^{-6} +z^7 a^{-1} -11 z^7 a^{-3} -10 z^7 a^{-5} +2 z^7 a^{-7} -15 z^6 a^{-2} -31 z^6 a^{-4} -13 z^6 a^{-6} +3 z^6 a^{-8} -3 z^5 a^{-1} -z^5 a^{-3} -10 z^5 a^{-5} -12 z^5 a^{-7} +15 z^4 a^{-2} +31 z^4 a^{-4} +14 z^4 a^{-6} -2 z^4 a^{-8} +3 z^3 a^{-1} +12 z^3 a^{-3} +20 z^3 a^{-5} +15 z^3 a^{-7} +4 z^3 a^{-9} -3 z^2 a^{-2} -12 z^2 a^{-4} -9 z^2 a^{-6} +z^2 a^{-8} +z^2 a^{-10} -z a^{-1} -4 z a^{-3} -8 z a^{-5} -5 z a^{-7} +3 a^{-4} +2 a^{-6} }[/math]



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