Look at Shiftaltumlock's planted tank in his current thread "Final pics...." A gallon of his water would cure green water!
What would you expect to find in water that clear, figuring it hasn't been medicated in the last months? Well very little algae or detritus at the base of the pyramid, to judge from the photos, so you'd expect to find a correspondingly light population of plankton, but a great diversity of kinds. That's what makes the water both clear and stable: low density/high diversity.
That's mature, balanced water. Get a founder population of that from Shiftaltumlock on moving day, and your green water is over! "Saint Altumlock! let us draw a pitcher from your magic well!"
I get cultures of Euglena once a year or so. I just can't keep them pure. And I can't give the photosynthesizers enough brilliant daylight to stay ahead of their grazers. The culture eventually clears. If I put some green water/euglena culture into each of my tanks, the tanks don't go green. They clear.
How can you avoid this state of affairs? Keep everything in turmoil: vacuum gravel, dose with fertilizers, overload with fishes, zap with UV and medications. It's a lot of work...