K13n3381

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Polynomial invariants

Jones polynomial Data:K13n3381/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-5 t^3+11 t^2-16 t+19-16 t^{-1} +11 t^{-2} -5 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3381/Conway Polynomial
Determinant 85
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +5 z^6-4 a^2 z^4-3 z^4 a^{-2} +8 z^4+a^4 z^2-5 a^2 z^2-2 z^2 a^{-2} +5 z^2+a^4-2 a^2+2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-2} +z^{10}+4 a z^9+5 z^9 a^{-1} +z^9 a^{-3} +4 a^2 z^8+z^8 a^{-2} +5 z^8+a^3 z^7-10 a z^7-10 z^7 a^{-1} +z^7 a^{-3} -8 a^2 z^6-3 z^6 a^{-2} +4 z^6 a^{-4} -15 z^6+5 a^3 z^5+19 a z^5+10 z^5 a^{-1} -3 z^5 a^{-3} +z^5 a^{-5} +3 a^4 z^4+13 a^2 z^4+3 z^4 a^{-2} -7 z^4 a^{-4} +20 z^4-9 a^3 z^3-15 a z^3-4 z^3 a^{-1} -2 z^3 a^{-5} -4 a^4 z^2-11 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} -10 z^2+2 a^3 z+3 a z+z a^{-1} +a^4+2 a^2+2 }[/math]



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