The purple haired girl is apparently supposed to be a personification of an Epson PM-A870
(I copied tags off of another post, so if one doesn't belong, please fix it.)

One thing that you mistook is that the silver haired girl is not Nyaruko, however similar they looked. She is the personification of the artist's PC. You can see the power button and USB on this post #1512214. Her name as you can see, is Lavi, since she's based from LaVie.

Such is the downside of Google Translate. I saw that name in there, but without context and being so close, I assumed. Thanks for the fix.