K13n2266

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Polynomial invariants

Jones polynomial Data:K13n2266/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^2+3 t-3+3 t^{-1} - t^{-2} }[/math]
Conway polynomial Data:K13n2266/Conway Polynomial
Determinant 11
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -2 z^4 a^{-2} +z^4 a^{-6} -6 z^2 a^{-2} +z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} +2 z^2-4 a^{-2} + a^{-4} +2 a^{-6} - a^{-8} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^{10} a^{-8} -7 z^9 a^{-5} -6 z^9 a^{-7} +z^9 a^{-9} +z^8 a^{-2} -8 z^8 a^{-4} -24 z^8 a^{-6} -15 z^8 a^{-8} +z^7 a^{-1} +z^7 a^{-3} +13 z^7 a^{-5} +6 z^7 a^{-7} -7 z^7 a^{-9} -4 z^6 a^{-2} +20 z^6 a^{-4} +60 z^6 a^{-6} +36 z^6 a^{-8} -z^5 a^{-1} -3 z^5 a^{-3} -7 z^5 a^{-5} +10 z^5 a^{-7} +15 z^5 a^{-9} +10 z^4 a^{-2} -18 z^4 a^{-4} -59 z^4 a^{-6} -34 z^4 a^{-8} +3 z^4-2 z^3 a^{-1} +5 z^3 a^{-3} +5 z^3 a^{-5} -13 z^3 a^{-7} -11 z^3 a^{-9} -13 z^2 a^{-2} +6 z^2 a^{-4} +24 z^2 a^{-6} +12 z^2 a^{-8} -7 z^2-3 z a^{-3} -3 z a^{-5} +2 z a^{-7} +2 z a^{-9} +4 a^{-2} + a^{-4} -2 a^{-6} - a^{-8} +3 }[/math]



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