A special symbolic form for the notation of the elements of a 2-generated metabelian group is realized on a computer, with
the aid of which for the exponent 27 one carries out the search of the relations in the factors of the lower central series.
The first 36 factors are investigated.
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR,
Vol. 160, pp. 247–256, 1987.