  The Fock expansion [1] describes the $S$-state wave function of the
two-electron atomic system in the vicinity of the triple coalescence point. The
present work constitutes the additional appendix to our paper [2] devoted to
refinement and further development of calculation of the angular Fock
coefficients of the Fock expansion. We derive the explicit analytic expressions
for the complicated subcomponents $\psi_{4,1}^{(2d)}$ and $\psi_{3,0}^{(2c)}$
of the angular Fock coefficients. An unusual method of using the Wolfram
Mathematica was applied.
