K13n1426

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Polynomial invariants

Jones polynomial Data:K13n1426/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t-3+2 t^{-1} }[/math]
Conway polynomial Data:K13n1426/Conway Polynomial
Determinant 7
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} -10 z^2 a^{-4} +11 z^2 a^{-6} -3 z^2 a^{-8} +3 a^{-2} -5 a^{-4} +5 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} +8 z^6 a^{-4} +13 z^6 a^{-6} -5 z^6 a^{-8} -11 z^6 a^{-10} -5 z^5 a^{-3} -10 z^5 a^{-5} +6 z^5 a^{-7} +6 z^5 a^{-9} -5 z^5 a^{-11} -5 z^4 a^{-2} -21 z^4 a^{-4} -27 z^4 a^{-6} +5 z^4 a^{-8} +16 z^4 a^{-10} +6 z^3 a^{-3} +3 z^3 a^{-5} -11 z^3 a^{-7} -2 z^3 a^{-9} +6 z^3 a^{-11} +7 z^2 a^{-2} +20 z^2 a^{-4} +19 z^2 a^{-6} +z^2 a^{-8} -5 z^2 a^{-10} +z a^{-5} +3 z a^{-7} +z a^{-9} -z a^{-11} -3 a^{-2} -5 a^{-4} -5 a^{-6} -2 a^{-8} }[/math]



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