Data:L8a9/HOMFLYPT Polynomial

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[math]\displaystyle{ a^5 (-z)+2 a^3 z^3+3 a^3 z+a^3 z^{-1} -a z^5-3 a z^3+z^3 a^{-1} -4 a z-a z^{-1} +z a^{-1} }[/math]