BSOD on a nearly new computer

No problem mate, we'll be here.

Nick your single dump is a 0x4E (PFN_LIST_CORRUPT), this could be down to bad RAM or a device driver. No drivers are showing in your dump (it may be too small a sample size) so first of all I'd like you to rule out your RAM being a problem.

Download and run MemTest86+ to test your RAM. RAM - Test with Memtest86+

   Note

Run MemTest86+ for at least 8 passes. Ideally set it off before you go to bed and leave it overnight, we're looking for zero errors here. A single error will show something's going bad with your RAM.

Code:

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*                        Bugcheck Analysis                                    *
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Use !analyze -v to get detailed debugging information.

BugCheck 4E, {99, 307df2, 2, 307df0}

Probably caused by : memory_corruption ( nt!MiBadShareCount+4c )

Followup: MachineOwner

PFN_LIST_CORRUPT (4e)
Typically caused by drivers passing bad memory descriptor lists (ie: calling
MmUnlockPages twice with the same list, etc).  If a kernel debugger is
available get the stack trace.
Arguments:
Arg1: 0000000000000099, A PTE or PFN is corrupt
Arg2: 0000000000307df2, page frame number
Arg3: 0000000000000002, current page state
Arg4: 0000000000307df0, 0

MemTest86 or MemTest86+? There's a big difference.

Good stuff.

That's good. Time to try and weed out the bad driver then.

Diagnostic Test

 DRIVER VERIFIER

Driver Verifier will stress your drivers and cause BSODs if any fail. Follow this tutorial to enable/disable it. Driver Verifier - Enable and Disable

Enable Driver Verifier but only enable these options:

• Standard settings and IRP logging step 3.
• Don't enable Force Pending I/O Requests

   Warning

Make a System Restore point before enabling Driver Verifier.

   Note

Your system will act very sluggishly while DV is enabled, this is normal as your drivers will be being subjected to heavy testing in order to make them crash.

Post any resulting dump files.