Hi Hornbeam Mad,
Yes that looks pretty good to me - nice and tidy, sensible angles, no tears and cut at an appropriate height given the age of the stems. Hornbeam is one of the most reliable re-sprouters of our native trees - and that extends to pollarding or re-pollarding old trees too.
One of the most important aspects of coppicing is the size of the area you fell. Particularly with a tree that casts as much shade as hornbeam. Small patches that you might get away with amongst ash will not work with hornbeam. There just won't be enough light coming through the trees at an angle. It's true that hornbeam is a very shade tolerant tree but you make the decision to coppice presumably for one of two reasons - either because you want straight, fast grown stems for craft/greenwoodworking, or to promote the species of flora and fauna associated with coppicing (I suppose a third reason could just be firewood) For whichever reason though you need to make sure plenty of light gets in- either to allow sustained fast growth of the trees or to light and warm the woodland floor for conservation.
It is important to remember that at our lattitude even in June the sun isn't directly over head -even at noon - the sun is always lighting the woodland floor to a greater or lesser degree from the south. For most of the year the area of woodland floor immediately to the north of the southern edge of the area you have felled will get no direct sunlight. It can be very useful when recoppicing a wood that has been neglegetd for a long time to mark out where the shadow of the southern edge reaches on the woodland floor at various times of the growing season. The incident and reflected light reaching this shaded area offers very little energy for photosynthesis- almost all the frequencies (i.e. colours/wavelengths) of light that drive photosynthesis will have been filtered out. Also there is less intensity of light there than you might imagine - remember the iris ouf your eye dilates as you walk into shade and so we perceive a more even 'intensity' of light than is actualy the case. This can be very useful when choosing subsequent cant /coup sizes - particularly valuable for small woodland owners who if intending to coppice their woodland by cutting an area each year will inevitably have cant sizes much, much smaller than was traditionally the case - the problems of this can be ameliorated to some extend by careful choice of the shapes of each cant.
There will be folk who point out that even if you cut a single tree it resprouts and grows away quickly - even with just a tiny hole in the canopy. Well yes this is true but for a reason. Those old coppice stools (or maiden trees) have a large root system underground, the sap withing these roots contains a lot of sugar. It is using this sugar which for the first 3-4 years fuels the very rapid regrowth. After this though if the leaves on the coppice regrowth aren't producing plenty of sugar themselves and passing it back to the roots then the roots start to slowly die. Once the regrowth is having to rely on sunlight alone for its growth then if shaded this slows down very dramatically. A balance will be found over the next few years between tha amount of root that dies and the amount of sugar that is being produced (photosyntesis from the top growth) this has impacts on the stability of the tree in the future and how succesfully it may recoppice next time (even if the area around it is further opened once it is notticed the stool is suffering from a lack of light).
Stools that grow up in too little light (i.e. too many 'standard' trees or a 'cant' that was too small) take a very long time to callouse over the entire coppice cut - ideally you want a layer of new wood (growth ring) to be laid down over the whole stool continously as quickly as possible - light stressed stools often have stems growing attached to slowly decaying stools - which are less stable and often this also causes staining into the stems , which isn't ideal if you have greenwood working etc. in mind.
So to attempt to answer your question about how wel your coppicing has been carried out then I'd say I couldn't offer my arrogant oppinion unless you said what your intentions were for the coppice area, and how large an area did you coppice, what shape was the coppiced area, how tall are the surrounding trees and what aspect the area you felled had .