Steps To Root
|Let me clear you guys..
First goto developer setting and turn on usb debugging.
Now in setting->Xperia->connectivity Change usb mode as MSC.
Now turn off device.
Download MT11i_4.1.A.0.562_kernel.ftf from here http://www.mediafire.com/?gwe739kn5mcx56t..
Now flash ur neo L with the above kernel and power on.
You'll only get vibration but screen does'nt turns on.
But still usb debugging'll be working.
Now download DooMLoRD_v1_Xperia-2011-ICS-ROOT-emu-busybox-su frm here http://forum.xda-developers.com/show....php?t=1601038.
Next connect ur device and simply run runme.bat.
Now your device will be rooted.
Finally remove and reinsert your battery and flash Neo L 4.0.4 Kernel.ftf from this thread.