  We provide here all the procedures in \texttt{Mathematica} which are needed
for the computation of the analytic images of the strong coupling constant
powers in Minkowski (${\bar{\mathfrak A}_{\nu}(s;n_f)}$ and ${\mathfrak
A_{\nu}^\text{glob}(s)}$) and Euclidean (${\bar{\mathcal A}_{\nu}(Q^2;n_f)}$
and ${\mathcal A_{\nu}^\text{glob}(Q^2)}$) domains at arbitrary energy scales
(${s}$ and ${Q^2}$, correspondingly) for both schemes --- with fixed number of
active flavours ${n_f=3, 4, 5, 6}$ and the global one with taking into account
all heavy-quark thresholds. These singularity-free couplings are inevitable
elements of Analytic Perturbation Theory (APT) in QCD and its generalization
--- Fractional APT, needed to apply the APT imperative for
renormalization-group improved hadronic observables.
