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The dilogarithm function is defined as follows:

$\mathrm{dilog}\left(1\right)$

$0$

$\mathrm{dilog}\left(0\right)$

$\frac{{\mathrm{\pi }}^2}{6}$

$\mathrm{dilog}\left(\frac{1}{2}\right)$

$\frac{{\mathrm{\pi }}^2}{12}-\frac{{\ln \left(2\right)}^2}{2}$