This should be posted in General. Anyway, why going for Note 3?
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My Evolution: Sony Xperia Z1 - UB + 4.3 Rooted + Deodexed, HTC HD2, HTC Diamond 2, HTC HD Blackstone, Nokia 7070 Prism, Qtek 9100, Nokia 3100, Motorola T720i, Nokia 3310, Sony Ericson PF 768 (Blue)

How Get Root on Sony Xperia Z1 with Locked Bootloader and the Latest Android 4.4