K13n229

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Polynomial invariants

Jones polynomial Data:K13n229/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+10 t^2-21 t+27-21 t^{-1} +10 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n229/Conway Polynomial
Determinant 93
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -2 z^6+2 a^2 z^4+4 z^4 a^{-2} -8 z^4+4 a^2 z^2+11 z^2 a^{-2} -2 z^2 a^{-4} -12 z^2+2 a^2+8 a^{-2} -3 a^{-4} -6 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+5 z^9 a^{-1} +2 z^9 a^{-3} +3 a^2 z^8+2 z^8 a^{-2} +z^8 a^{-4} +4 z^8+a^3 z^7-3 a z^7-7 z^7 a^{-1} -3 z^7 a^{-3} -a^2 z^6+2 z^6 a^{-2} +2 z^6 a^{-4} -z^6+5 a^3 z^5+10 a z^5+11 z^5 a^{-1} +9 z^5 a^{-3} +3 z^5 a^{-5} +3 a^4 z^4-17 z^4 a^{-2} -8 z^4 a^{-4} -12 z^4-8 a^3 z^3-16 a z^3-19 z^3 a^{-1} -18 z^3 a^{-3} -7 z^3 a^{-5} -3 a^4 z^2+a^2 z^2+18 z^2 a^{-2} +7 z^2 a^{-4} +15 z^2+3 a^3 z+8 a z+10 z a^{-1} +9 z a^{-3} +4 z a^{-5} -2 a^2-8 a^{-2} -3 a^{-4} -6 }[/math]



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