Evad3rs developers team has updated their jailbreak tool evasi0n to evasi0n 1.5 which includes improvement for boot-up time and also have added an updated Cydia package list.
You can download Evasi0n 1.5 for Windows, Mac or Linux via evasi0n web page.
See also:
iOS 6.1.2 Update for iPhone, iPod Touch and iPad
How to Jailbreak iPad Mini, iPad 4, iPad 3 over iOS 6.1 with Evasi0n
How to Jailbreak iPod Touch 5G, 4G over iOS 6.1 with Evasi0n
How to Jailbreak iPhone 5, 4S, 4, 3GS over iOS 6.1 with Evasi0n