BSOD Random and when loging in. Error 0x0000001E

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Your dumps do not give much information, but lets start with uninstalling Norton AV.

Code:

Start Menu\Programs\Norton Internet Security	Public:Start Menu\Programs\Norton Internet Security	Public

It often contributes in BSOD-s.

Please remove it using its removal tool from here: Uninstallers (removal tools) for common antivirus software - ESET Knowledgebase

Recommended from a strict BSOD perspective, compatibility & stability compared to other antiviruses/internet security software. It is free and lightweight:-

• Microsoft Security Essentials, Free antivirus for windows.
• Malwarebytes Anti-Malware Free
• Good and Free system security combination
  
  

   Warning

Do not start the free trial of Malware Bytes; remember to deselect that option when prompted.

Run a full scan with both (separately) once downloaded, installed and updated.

Code:

Driver	c:\windows\system32\drivers\atikmpag.sys (8.14.1.6233, 310.50 KB (317,952 bytes), 9/28/2011 10:34 AM)

Update your graphic drivers in the following manner:

Sometimes drivers remain, not completely uninstalled. Follow this tutorial for complete removal of drivers of the particular program:

• How to Clean Left Over Driver Files with Driver Sweeper

• HP Pavilion g6-1a00 Notebook PC series*-* AMD High-Definition Graphics Driver - HP Business Support Center

Perform a System File Check to check the integrity of all protected Windows 7:

1. Click on the start
2. Type CMD on Search
3. Left click and Run as Administrator
4. Type
   Code:

   SFC /scannow

Full tutorial here:

• SFC /Scannow Command - System File Checker

Disk Check on your hard drive for file system errors and bad sectors on it.

• How to run Disk Check on Windows 7

Number down items at start-up. Keep only your anti-virus, this also improves the time for logging into windows.

• Startup Programs - Change
• Troubleshoot Application Conflicts by Performing a Clean Startup

Take memtest. Run for 8 passes and test each stick in a know good slot for an additional 6 passes.

• RAM - Test with Memtest86+

   Note

Pay close attention to part 3 of the tutorial in order to rule out the faulty stick.

   Information

Errors are sometimes found after 8 passes.

   Tip

Do this test overnight, before going to bed.

If Memtest86+ does not find any errors with ram run Windows Memory Diagnostics for 7-8 passes following its tutorial:

• Memory Diagnostics Tool

Let us know the results.