K13n2106

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Polynomial invariants

Jones polynomial Data:K13n2106/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+8 t^2-11 t+11-11 t^{-1} +8 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2106/Conway Polynomial
Determinant 53
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -3 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} +6 z^2 a^{-4} -2 z^2 a^{-6} -5 z^2 a^{-8} +4 z^2 a^{-10} +3 a^{-4} - a^{-6} -3 a^{-8} +3 a^{-10} - a^{-12} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +2 z^9 a^{-7} +3 z^9 a^{-9} +z^9 a^{-11} +2 z^8 a^{-6} -3 z^8 a^{-8} -5 z^8 a^{-10} +z^7 a^{-5} -7 z^7 a^{-7} -12 z^7 a^{-9} -4 z^7 a^{-11} -6 z^6 a^{-6} +7 z^6 a^{-8} +16 z^6 a^{-10} +3 z^6 a^{-12} -z^5 a^{-5} +11 z^5 a^{-7} +22 z^5 a^{-9} +11 z^5 a^{-11} +z^5 a^{-13} +3 z^4 a^{-4} +9 z^4 a^{-6} -9 z^4 a^{-8} -23 z^4 a^{-10} -8 z^4 a^{-12} -2 z^3 a^{-7} -14 z^3 a^{-9} -15 z^3 a^{-11} -3 z^3 a^{-13} -8 z^2 a^{-4} -5 z^2 a^{-6} +12 z^2 a^{-8} +13 z^2 a^{-10} +4 z^2 a^{-12} -2 z a^{-5} -z a^{-7} +3 z a^{-9} +4 z a^{-11} +2 z a^{-13} +3 a^{-4} + a^{-6} -3 a^{-8} -3 a^{-10} - a^{-12} }[/math]



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