There's 3 things that can cause BSOD's:
- 3rd party drivers (over 90% of BSOD's are due to this)
- hardware (less than 10% of BSOD's are due to this)
- Windows drivers (less than 1% of BSOD's are due to this)
A wipe and reinstall of the OS (with factory or Microsoft recovery media - either made or ordered from them) is the "test" to rule out everything.
A successful install tells us that, most likely , the Windows installation is OK (there is the possibility of corrupted installation media)
If the system still BSOD's, then it's most likely a hardware problem (as long as you haven't installed any 3rd party programs).
And, since you haven't installed any 3rd party programs, that will tell you if that was the cause or not (if the system doesn't BSOD after the clean install - then it must've been something that was added after the initial install of Windows).
THe latest memory dump shows no 3rd party drivers.
As such, this is most likely hardware (although Windows may still be suspect)
If you wish to return this for repair to Dell, one of the things they are going to ask is if you've restored the system with the recovery media.
If you haven't done this, they'll have you do it before they take it back.
In short, contact Dell or the people who hold the warranty on the system and see what they want you to do.
Backup your data now - in case they tell you to wipe it (or they have you send it in and they wipe it for you).