K13n3573

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Polynomial invariants

Jones polynomial Data:K13n3573/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+6 t^2-9 t+11-9 t^{-1} +6 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3573/Conway Polynomial
Determinant 45
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6-3 z^4 a^{-2} +z^4 a^{-4} -4 z^4+a^4 z^2-z^2 a^{-2} +2 z^2 a^{-4} -5 z^2+a^4+2 a^{-2} -2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a^3 z^9+a z^9+3 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-z^8 a^{-2} +4 z^8 a^{-4} -6 z^8-8 a^3 z^7-9 a z^7-14 z^7 a^{-1} -10 z^7 a^{-3} +3 z^7 a^{-5} -7 a^4 z^6-4 a^2 z^6-5 z^6 a^{-2} -14 z^6 a^{-4} +z^6 a^{-6} +13 z^6+18 a^3 z^5+25 a z^5+26 z^5 a^{-1} +9 z^5 a^{-3} -10 z^5 a^{-5} +14 a^4 z^4+13 a^2 z^4+8 z^4 a^{-2} +12 z^4 a^{-4} -3 z^4 a^{-6} -8 z^4-14 a^3 z^3-22 a z^3-19 z^3 a^{-1} -5 z^3 a^{-3} +6 z^3 a^{-5} -9 a^4 z^2-8 a^2 z^2-2 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} +4 z^2+4 a^3 z+7 a z+5 z a^{-1} +2 z a^{-3} +a^4-2 a^{-2} -2 }[/math]



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