Calculation of the spectrum of a Hamiltonian matrix is reported. The matrix is sparse (with the 112-dimensional sample of its structure given in Figure 1) and its spectrum does not seem to converge with the growing cutoff B (cf. Figure 2). It is conjectured that those particular elements of the numerical spectrum which converge, correspond to localized states which may be identified via an evaluation of a certain test function. This is illustrated in Figure 3 which, I must admit, did not persuade me completely (apparently, at least one of the non-localized states does not look incompatible with the test criterion). MR2276748 Kotanski, Jan Virial theorem for four-dimensional supersymmetric Yang-Mills quantum mechanics with SU(2) gauge group. Acta Phys. Polon. B 37 (2006), no. 12, 3659--3666. 81Q60