K13n3663

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Polynomial invariants

Jones polynomial Data:K13n3663/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t-1+ t^{-1} }[/math]
Conway polynomial Data:K13n3663/Conway Polynomial
Determinant 3
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-2} -z^6+7 z^4 a^{-2} -z^4 a^{-4} -6 z^4+a^4 z^2+15 z^2 a^{-2} -4 z^2 a^{-4} -11 z^2+a^4+10 a^{-2} -4 a^{-4} -6 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +a^3 z^9+a z^9+z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-5} +a^4 z^8+a^2 z^8-8 z^8 a^{-2} -8 z^8 a^{-4} -8 a^3 z^7-9 a z^7-9 z^7 a^{-1} -16 z^7 a^{-3} -8 z^7 a^{-5} -7 a^4 z^6-8 a^2 z^6+22 z^6 a^{-2} +21 z^6 a^{-4} +20 a^3 z^5+28 a z^5+28 z^5 a^{-1} +41 z^5 a^{-3} +21 z^5 a^{-5} +14 a^4 z^4+19 a^2 z^4-29 z^4 a^{-2} -23 z^4 a^{-4} -z^4-18 a^3 z^3-35 a z^3-36 z^3 a^{-1} -40 z^3 a^{-3} -21 z^3 a^{-5} -8 a^4 z^2-13 a^2 z^2+24 z^2 a^{-2} +13 z^2 a^{-4} +6 z^2+6 a^3 z+15 a z+17 z a^{-1} +14 z a^{-3} +6 z a^{-5} +a^4-10 a^{-2} -4 a^{-4} -6 }[/math]



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