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As part of our image quality tests, we shot our resolution chart using the P3 with the with the Olympus M. Zuiko 14-42mm f/3.5-5.6 II lens mounted.
If you view our crops of the resolution chart's central section at 100% (or Actual Pixels) you will see that, for example, at ISO 200 the Olympus P3 is capable of resolving up to 24 (line widths per picture height x100) in its highest quality JPEG files.
Examining images of the chart taken at each sensitivity setting reveals the following resolution scores in line widths per picture height x100:
ISO 200, score: 24 (see full image)
ISO 400, score: 24 (see full image)
ISO 800, score: 24 (see full image)
ISO 1600, score: 20 (see full image)
ISO 3200, score: 16 (see full image)
ISO 6400, score: 12 (see full image)
ISO 12,800, score: 14 (see full image)