  The properties of the thermal abelian monopoles are studied in the
deconfinement phase of the SU(2) gluodynamics. To remove effects of Gribov
copies the simulated annealing algorithm is applied to fix the maximally
abelian gauge. Computing the density of the thermal abelian monopoles in the
temperature range between 1.5T_c and 6.9T_c we show, by comparison with earlier
results, that the Gribov copies effects might be as high as 20% making proper
gauge fixing mandatory. We find that in the infinite temperature limit the
monopole density converges to its value in 3-dimensional theory. To study the
interaction between monopoles we calculate the monopole-monopole and
monopole-antimonopole correlators at different temperatures in the region
(1.5T_c, 6.9T_c). Using the result of this study we determine the screening
mass, monopole-monopole coupling constant, monopole size and monopole mass. In
addition we check the continuum limit of our results.
