Default Root, could this work?
looking for options to root my phone

Current devices: Sony Xperia Z1(unlocked) / Nexus 7 32Gb / Iphone 5s 16Gb
Iphone 5 16gb [sold]
Galaxy S3 I9300 16Gb [gave it to my mom]
LG Optimus 3D [loved the 3D world, faulty phone gone now]
SE Xperia X10a Luster white [gave to dad]
SE Xperia X1a Black [back to daddy]