All 7 Uses

nevertheless
in
Grendel
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"Nevertheless," I whispered crossly—but I couldn't go on, too conscious all at once of my whispering, my eternal posturing, always transforming the world with words—changing nothing.†
Chpt 4 *

nevertheless = despite that (used to connect contrasting ideas)
"Nevertheless, something will come of all this," I said.†
Chpt 5
ORK: Nevertheless, I saw him.†
Chpt 9
Nevertheless, the Dane shook his spear the way attackers do when they're telling a man what they're going to do with his testicles.†
Chpt 11
The truth is, nevertheless, that I beat him.†
Chpt 11
Nevertheless, I don't recall hearing any glorious deeds of yours, except that you murdered your brothers.†
Chpt 11
Nevertheless, it was by accident that he got my arm behind me.†
Chpt 12

Definitions:

(1) (nevertheless)
despite that

Based on idea 1 we might not expect idea 2, but this is a way of saying that even though idea 1 was just stated, we still have idea 2. Synonyms include in spite of that, despite that, nevertheless, nonetheless, on the other hand, in contrast and but.
(2) (meaning too rare to warrant focus)