IPhone: evasi0n7 - iOS 7.x Jailbreak

Requirements

5 minutes of your time!
A computer, running Windows (XP minimum), Mac OS X (10.6 minimum) or Linux (x86 / x86_64)
iTunes installed if you're running Windows
An iPhone, iPad or iPod running iOS 7.0 through 7.0.4 (you may check in Settings / General / About => Version)
A USB cable to connect the device to the computer

Backup your device using iTunes (or iCloud) before using evasi0n. If something breaks, you'll always be able to recover your data.
Please disable the lock passcode of your iOS device before using evasi0n. It can cause issues.
Avoid all iOS and iTunes related tasks until evasi0n is complete. Why not just enjoy a brief break from the computer to stretch your legs?
If the process gets stuck somewhere, it's safe to restart the program, reboot the device (if necessary by holding down Power and Home until it shuts down), and rerun the process.
If you get an error on OS X 10.8 saying that evasi0n can't be opened, control-click (or right-click) the app and on the revealed context menu, choose 'Open.' On the ensuing dialogue box, choose 'Open' as well.
Warning! Over The Air updates of iOS 7 are known to create an issue and make the jailbreak fail. Some devices are then stuck on the Apple Boot Logo. Until we fix that, please restore your device to 7.0.4. with iTunes first.
Warning! Many Cydia tweaks are not yet compatible with iOS 7. Please always backup your phone before installing new tweaks from Cydia as your iPhone could be stuck in the boot process. The situation will improve as developers will update their software.

I would like to contribute!

If you would like to express your appreciation for our work, we do have a PayPal account. All proceeds from your contributions will go to Public Knowledge, Electronic Frontier Foundation and Foundation for a Free Information Infrastructure to help protect jailbreaking as your legal right.
I have a question regarding the jailbreak process or jailbreaking in general.

Please go to the Jailbreak QA dedicated website or see their help page for evasi0n or try /r/jailbreak on Reddit.