  We report a very detailed relation about the study, by a constrained Monte
Carlo dynamic, of a 4D EA spin glass model (J=+/- 1). In particular we
concentrate our attention on the behaviour of the system under different bounds
imposed in order to optimize the dynamic and try to understand the low energy
states structure. We find that in the thermodynamic limit this structure is
clearly ultrametric as already established for the SK model.
