K13n1456

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Polynomial invariants

Jones polynomial Data:K13n1456/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t-1+ t^{-1} }[/math]
Conway polynomial Data:K13n1456/Conway Polynomial
Determinant 3
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-4} +z^6 a^{-6} +z^4 a^{-2} -6 z^4 a^{-4} +6 z^4 a^{-6} -z^4 a^{-8} +4 z^2 a^{-2} -11 z^2 a^{-4} +11 z^2 a^{-6} -3 z^2 a^{-8} +4 a^{-2} -7 a^{-4} +6 a^{-6} -2 a^{-8} }[/math]
Kauffman polynomial [math]\displaystyle{ -z^9 a^{-5} +z^9 a^{-9} -z^8 a^{-4} -2 z^8 a^{-6} +z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-3} +6 z^7 a^{-5} -z^7 a^{-7} -5 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} +9 z^6 a^{-4} +13 z^6 a^{-6} -6 z^6 a^{-8} -11 z^6 a^{-10} -4 z^5 a^{-3} -9 z^5 a^{-5} +5 z^5 a^{-7} +5 z^5 a^{-9} -5 z^5 a^{-11} -5 z^4 a^{-2} -25 z^4 a^{-4} -28 z^4 a^{-6} +8 z^4 a^{-8} +16 z^4 a^{-10} +3 z^3 a^{-3} -z^3 a^{-5} -10 z^3 a^{-7} +6 z^3 a^{-11} +8 z^2 a^{-2} +24 z^2 a^{-4} +21 z^2 a^{-6} -z^2 a^{-8} -6 z^2 a^{-10} +z a^{-3} +4 z a^{-5} +5 z a^{-7} +z a^{-9} -z a^{-11} -4 a^{-2} -7 a^{-4} -6 a^{-6} -2 a^{-8} }[/math]



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