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iOS 5.1 untethered jailbreak
No. It is just to soon for the devs to get an untethered jailbreak for iOS 6. Plus iOS 6 isn't available to the public just yet.
unfortnately there is no ios 5.1 jailbreak at the moment but it is coming soon. Yet there is a tethered jailbreak for ios 5.1.
no one knows yet possible in the near future
Yes, if you update it to iOS 5.1.1, there is an untethered jailbreak out.
Yes it is, but it will be a tethered jailbreak as there is still no untethered jb out there
Yes, you can use Absinthe 2.0.1 to jailbreak iOS 5.1.1. Here is a website with step-by-step instructions on how to jailbreak: http://www.redmondpie.com/jailbreak-5.1.1-untethered-iphone-4s-ipad-3-ipod-touch-and-more-using-absinthe-2.0-video-tutorial/
A jailbreak tool called evasion has been released with works on all iOS 6 and iOS 6.1 devices - iPhone, iPad, iPad mini, and iPod touch. This is an untethered jailbreak, which means that you won't need to reapply it after reboot. In practical terms this means that a flat battery won't remove your jailbreak.
The ipad 3 will be jailbreakable but you have to wait for th IOS 5.1 jailbreak to come out
no
You can jailbreak it semi-tethered but not untethered at the moment. search on Redmond Pie for a tutorial
Yes, you can.