But before that, it would not hurt to leave it plugged in even if not properly recognized and see if it gets any gradual charging over several days time-perhaps the gas gauge is just lying and the battery nearly empty for all previous tests.

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I left the machine plugged in with the battery in for a short time and now I have all four dots on the battery lighted instead of three. The battery seemed to charge up more. It still is not recognized and will not boot from the battery even with the pram battery disconnected.