  In [7] we proposed a non-generational conjectural derivation of all first
class constraints (involving, only, variables compatible with canonical Poisson
brackets) for realistic gauge (singular) field theories; and we verified the
conjecture in cases of electromagnetic field, Yang Mills fields interacting
with scalar and spinor fields, and the gravitational field. Here we will
further verify our conjecture for the case of 't Hooft- Polyakov (HP)
monopole's field (i.e. in the Higgs Vacuum); and show that we will reproduce
the results in Ref.[6], which we reached at using Dirac's standard
multi-generational algorithm.
