K13n1761

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Polynomial invariants

Jones polynomial Data:K13n1761/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+7 t^2-18 t+25-18 t^{-1} +7 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n1761/Conway Polynomial
Determinant 77
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6+a^2 z^4+3 z^4 a^{-2} -3 z^4+a^2 z^2+7 z^2 a^{-2} -2 z^2 a^{-4} -5 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-2} +z^{10}+2 a z^9+4 z^9 a^{-1} +2 z^9 a^{-3} +a^2 z^8+z^8 a^{-4} -4 a z^7-8 z^7 a^{-1} -4 z^7 a^{-3} +2 a^2 z^6+5 z^6 a^{-2} +2 z^6 a^{-4} +5 z^6+4 a^3 z^5+12 a z^5+13 z^5 a^{-1} +8 z^5 a^{-3} +3 z^5 a^{-5} +a^4 z^4-a^2 z^4-18 z^4 a^{-2} -10 z^4 a^{-4} -10 z^4-4 a^3 z^3-11 a z^3-14 z^3 a^{-1} -14 z^3 a^{-3} -7 z^3 a^{-5} -a^4 z^2+16 z^2 a^{-2} +8 z^2 a^{-4} +9 z^2+a^3 z+3 a z+5 z a^{-1} +6 z a^{-3} +3 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math]



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