At the time of placing this cache, there were indeed large heaps of debris around the posted coordinates, from the on-going construction near the new school at Nyborg. The cache is however not hidden in any of these. In order to find the real coordinates, you'll need to go back to school (math class, to be precise), and solve the puzzle.
Find x and y which satisfy x+y=1.287262935597079127914529663121 and x*y=0.199912332675918863522787694816. (x,y) will lead you to the cache. Note that there are two solutions, the one on the Indian Ocean is wrong.
2006-07-30: I have received reports of weak GPS signals and difficult search conditions in the area, so feel free to use the hint.
2020-06-19: New location, a few meters from the original, but still within the GPS accuracy and presumably easier to find.