K13n282

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Polynomial invariants

Jones polynomial Data:K13n282/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^2-6 t+11-6 t^{-1} + t^{-2} }[/math]
Conway polynomial Data:K13n282/Conway Polynomial
Determinant 25
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^{-6} -z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} -z^2+a^2-2 a^{-4} +3 a^{-6} - a^{-8} }[/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} -7 z^8 a^{-4} -22 z^8 a^{-6} -15 z^8 a^{-8} +2 z^7 a^{-3} +18 z^7 a^{-5} +9 z^7 a^{-7} -7 z^7 a^{-9} +z^6 a^{-2} +19 z^6 a^{-4} +55 z^6 a^{-6} +37 z^6 a^{-8} +z^5 a^{-1} -9 z^5 a^{-3} -25 z^5 a^{-5} +15 z^5 a^{-9} -2 z^4 a^{-2} -27 z^4 a^{-4} -59 z^4 a^{-6} -35 z^4 a^{-8} +z^4+a z^3-z^3 a^{-1} +11 z^3 a^{-3} +20 z^3 a^{-5} -3 z^3 a^{-7} -10 z^3 a^{-9} +a^2 z^2+16 z^2 a^{-4} +27 z^2 a^{-6} +12 z^2 a^{-8} -5 z a^{-3} -7 z a^{-5} -z a^{-7} +z a^{-9} -a^2-2 a^{-4} -3 a^{-6} - a^{-8} }[/math]



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