K13n2120

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Polynomial invariants

Jones polynomial Data:K13n2120/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+3 t^2-3+3 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2120/Conway Polynomial
Determinant 5
Signature 4
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-6} +2 z^4 a^{-4} -5 z^4 a^{-6} +7 z^2 a^{-4} -7 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} +4 a^{-4} -4 a^{-6} +2 a^{-10} - a^{-12} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^{10} a^{-12} -7 z^9 a^{-9} -6 z^9 a^{-11} +z^9 a^{-13} +z^8 a^{-6} -8 z^8 a^{-8} -24 z^8 a^{-10} -15 z^8 a^{-12} +z^7 a^{-5} +z^7 a^{-7} +13 z^7 a^{-9} +6 z^7 a^{-11} -7 z^7 a^{-13} -5 z^6 a^{-6} +20 z^6 a^{-8} +61 z^6 a^{-10} +36 z^6 a^{-12} -3 z^5 a^{-5} -6 z^5 a^{-7} -6 z^5 a^{-9} +12 z^5 a^{-11} +15 z^5 a^{-13} +3 z^4 a^{-4} +10 z^4 a^{-6} -21 z^4 a^{-8} -61 z^4 a^{-10} -33 z^4 a^{-12} +3 z^3 a^{-5} +11 z^3 a^{-7} +z^3 a^{-9} -18 z^3 a^{-11} -11 z^3 a^{-13} -9 z^2 a^{-4} -10 z^2 a^{-6} +11 z^2 a^{-8} +23 z^2 a^{-10} +11 z^2 a^{-12} -3 z a^{-5} -5 z a^{-7} -z a^{-9} +4 z a^{-11} +3 z a^{-13} +4 a^{-4} +4 a^{-6} -2 a^{-10} - a^{-12} }[/math]



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