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First of all you can try to clear data from the camera application. Go into settings > apps > the "all" tab > camera > clear data.
Restart the phone and try again.
If the problem persists I recommend that you repair the phone software using the program PC Companion:
http://www.sonymobile.com/update
Don't forget to backup your phone before repairing the phone software.
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I cleared the data, and repaired the software through PCC, but it didn't help.
Then it sounds like you should have the phone examined at a service center. Please contact your local support for more information: