There's lots of mind-blowing stuff in the Channel Mixer class.
The second one is definitely better. But of course it's not finished yet. Go ahead and commence your normal Levels work on it, the same way you'd do for any black-and-white photo.
Remember, the assessment of colours must only be done in a colour-managed program. So if you don't have Photoshop on the laptop, you'll need to install Bridge.
It's ok, that will work. Plug your desktop screen into the laptop computer and calibrate it there. See if the same magenta problem exists.
I should have asked this sooner - what kind of cable is connecting your screen to your computer?
Ok, it's time to do some tests. Do you have another screen you can plug in to the computer and calibrate? If that was high in magenta too, it would point to a graphics card issue.