New homogeneous Einstein metrics on SO(7)/T

The authors compute non-zero structure constants of the full flag manifold M = SO(7)/ T with nine isotropy summands, then construct the Einstein equations. With the help of computer they get all the forty-eight positive solutions (up to a scale ) for SO(7)/ T , up to isometry there are only five G -invariant Einstein metrics, of which one is Kähler Einstein metric and four are non-Kähler Einstein metrics.