K13n1885

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Polynomial invariants

Jones polynomial Data:K13n1885/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-6 t^2+15 t-19+15 t^{-1} -6 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n1885/Conway Polynomial
Determinant 63
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +3 z^4+a^4 z^2-4 a^2 z^2+3 z^2+a^4-2 a^2+2 a^{-2} - a^{-4} +1 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+3 a^3 z^9+3 a z^9+z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-11 a^2 z^8-7 z^8 a^{-2} -19 z^8-15 a^3 z^7-32 a z^7-21 z^7 a^{-1} -4 z^7 a^{-3} -5 a^4 z^6+2 a^2 z^6+7 z^6+23 a^3 z^5+51 a z^5+31 z^5 a^{-1} +3 z^5 a^{-3} +8 a^4 z^4+17 a^2 z^4+9 z^4 a^{-2} -z^4 a^{-4} +19 z^4-14 a^3 z^3-28 a z^3-15 z^3 a^{-1} -2 z^3 a^{-3} -z^3 a^{-5} -5 a^4 z^2-13 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} -12 z^2+3 a^3 z+6 a z+4 z a^{-1} +2 z a^{-3} +z a^{-5} +a^4+2 a^2-2 a^{-2} - a^{-4} +1 }[/math]



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