K13n2876

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Polynomial invariants

Jones polynomial Data:K13n2876/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+10 t^2-22 t+29-22 t^{-1} +10 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2876/Conway Polynomial
Determinant 97
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -2 z^4+a^2 z^2-z^2 a^{-2} +z^2 a^{-4} -z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+4 z^{10} a^{-2} +5 z^{10}-3 a z^9+4 z^9 a^{-1} +7 z^9 a^{-3} -6 a^2 z^8-9 z^8 a^{-2} +7 z^8 a^{-4} -22 z^8-25 z^7 a^{-1} -21 z^7 a^{-3} +4 z^7 a^{-5} +17 a^2 z^6+z^6 a^{-2} -20 z^6 a^{-4} +z^6 a^{-6} +39 z^6+3 a^3 z^5+18 a z^5+42 z^5 a^{-1} +17 z^5 a^{-3} -10 z^5 a^{-5} -15 a^2 z^4+8 z^4 a^{-2} +12 z^4 a^{-4} -2 z^4 a^{-6} -21 z^4-5 a^3 z^3-17 a z^3-21 z^3 a^{-1} -6 z^3 a^{-3} +3 z^3 a^{-5} +3 a^2 z^2-3 z^2 a^{-2} -3 z^2 a^{-4} +3 z^2+a^3 z+3 a z+3 z a^{-1} +z a^{-3} +1 }[/math]



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