Looks like there's some (negative) horizontal pincushion , and some (asymmetrical, more on the bottom than the top) upward vertical bowing.
The pincushion distortion should be easy to adjust out. The bowing will be more difficult
If you really want to be dissatisfied and see how much geometric distortion (and maybe convergence errors) there is (or to make the proper adjustments), display a grid test pattern (of squares and circles)(e.g. Video Essentials DVD or a PC running the Nokia or Eizo monitor test-programs).