A time-of-flight analyzer with a jig-saw trajectory formed by planar mirrors and a periodic lens system has been recently proposed by the authors to increase the resolving power while retaining the accepted mass range. The limit of the analyzer resolving power was experimentally studied in the mode of locking ion trajectories into cycles, and at the 100 eV energy it reached 200 000. In the present work similar studies are performed at a higher energy of 2 keV. The flight path over 10 km is achieved and the resolving power of the order of 1000 000 is demonstrated. It is shown that the short-term instability of the power supplies is the most limiting factor for achieving  longer flight times and a high resolving power.