K13n2003

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Polynomial invariants

Jones polynomial Data:K13n2003/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+4 t^2-8 t+11-8 t^{-1} +4 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2003/Conway Polynomial
Determinant 37
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-4} +z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +2 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} + a^{-2} -2 a^{-4} + a^{-6} +1 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -4 z^9 a^{-3} -z^9 a^{-5} +3 z^9 a^{-7} -6 z^8 a^{-2} -22 z^8 a^{-4} -15 z^8 a^{-6} +z^8 a^{-8} -16 z^7 a^{-5} -16 z^7 a^{-7} +11 z^6 a^{-2} +34 z^6 a^{-4} +18 z^6 a^{-6} -5 z^6 a^{-8} -z^5 a^{-1} +7 z^5 a^{-3} +32 z^5 a^{-5} +24 z^5 a^{-7} -12 z^4 a^{-2} -22 z^4 a^{-4} -4 z^4 a^{-6} +7 z^4 a^{-8} -z^4-z^3 a^{-1} -6 z^3 a^{-3} -17 z^3 a^{-5} -12 z^3 a^{-7} +5 z^2 a^{-2} +9 z^2 a^{-4} +z^2 a^{-6} -3 z^2 a^{-8} +z a^{-3} +3 z a^{-5} +2 z a^{-7} - a^{-2} -2 a^{-4} - a^{-6} +1 }[/math]



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