K13n2149

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Polynomial invariants

Jones polynomial Data:K13n2149/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t-1+ t^{-1} }[/math]
Conway polynomial Data:K13n2149/Conway Polynomial
Determinant 3
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^{-2} +z^4 a^{-6} -2 z^2 a^{-2} +3 z^2 a^{-6} -z^2 a^{-8} +z^2- a^{-4} +2 a^{-6} - a^{-8} +1 }[/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} -8 z^8 a^{-4} -23 z^8 a^{-6} -15 z^8 a^{-8} +14 z^7 a^{-5} +7 z^7 a^{-7} -7 z^7 a^{-9} +z^6 a^{-2} +20 z^6 a^{-4} +55 z^6 a^{-6} +36 z^6 a^{-8} +2 z^5 a^{-1} -11 z^5 a^{-5} +6 z^5 a^{-7} +15 z^5 a^{-9} -z^4 a^{-2} -20 z^4 a^{-4} -51 z^4 a^{-6} -33 z^4 a^{-8} +z^4-4 z^3 a^{-1} +z^3 a^{-3} +7 z^3 a^{-5} -9 z^3 a^{-7} -11 z^3 a^{-9} -2 z^2 a^{-2} +9 z^2 a^{-4} +19 z^2 a^{-6} +10 z^2 a^{-8} -2 z^2-z a^{-3} -z a^{-5} +2 z a^{-7} +2 z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1 }[/math]



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