iPad stuck in boot up loop. 4013 error after multiple restore attempts After speaking with Apple's tech support, and having them perform a data capture on my machine, I sit stuck with an iPad that won't boot up.  I've attempted all trouble shooting listed here. I've updated all iTunes, attempted restore on a Windows 7 machine, two Mac machines, with one iPad power chord, two iPhone power chords, and multiple ports. Every iteration has resulted in the same 4013 error. 

Apple concluded it was a hardware issue and would cost $199 to fix. I thought maybe the techies of stackexchange have maybe encountered this issue and had another route to fixing this problem. Thanks for any help you could send.
This may just apply to me, but I resolved this exact situation on my iPhone 5 by:


Replacing the screen on my iPhone 5 - I knew it had a faulty screen 


It would them boot into the "plug phone into iTunes" screen. Each attempt to resolving using iTunes on Windows 10 resulted in the Error 4013.


I updated to OSX 10.11.3 (current version at the time) and the latest iTunes. It restored the phone successfully, and resolved the Error 4013 issue.