Justification of an effective algorithm for determining the pointwise completeness and pointwise degeneracy of linear delay systems of order 12

We justify an effective algorithm for the reduction of a linear system or order 12 with delay $h$ to the normal form. In case the active matrix of the system is degenerate, we also justify a modified algorithm for checking the poitwise completeness of the system. To this end, it suffices to find all real roots of one polynomial of degree 4 whose all coefficients depend on the geometric invariants of the normal form and the exponent of the product of one-half of the active matrix by $h$.