In this paper we present a program which reduces the independent eleme
nts of the dynamical matrix with group theory to its theoretical minim
um exactly, i.e, without the use of random numbers and incorporating t
he linear relations between the elements of the dynamical matrix which
may arise in trigonal and hexagonal space groups, As input only the s
pace group symbol, the atom positions of the asymmetrical unit of the
unit cell and the coordinates of the vector k in the Brillouin zone ar
e needed.