Phase extension from lower to higher resolution by using an upgraded TWIN v
ariables algorithm [Hountas & Tsoucaris (1995). Acta Cryst. A51, 754-763] i
n protein molecules with close to 1000 non-H atoms is presented. Three poin
ts of this procedure are of particular interest. (i) The use of a set of au
xiliary variables providing a satisfactory fit for many kinds of constraint
s: the new algorithm works efficiently despite the extreme 'dilution' of ve
ry limited initial phase information into a much larger set of auxiliary va
riables. (ii) The extension of this auxiliary variables set beyond the reso
lution of the observed data, which enhances the phase extension in a so-cal
led 'super-resolution' sphere. (iii) The use of the crystallographic symmet
ry as a new figure of merit and as a reliable test for the correctness of t
he phase-extension process allows an efficient screening.