Next-to-leading-order QCD corrections to gluon fragmentation into <inline-formula><tex-math id="M1">\begin{document}${ {}^{\bf 1}{\boldsymbol S}_{\bf 0}^{\bf(1,8)} }$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2022-0479_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2022-0479_M1.png"/></alternatives></inline-formula> quarkonia

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