All 3 Uses

however
in
How Much Land Does a Man Need?
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However much your good man may slave, you will die as you are living-on a dung heap-and your children the same.
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however = regardless of how
However careful Pahom tried to be, it happened again and again that now a horse of his got among the lady's oats, now a cow strayed into her garden, now his calves found their way into her meadows-and he always had to pay a fine.
However' he now felt more certain than ever that Simon had done it, and he lodged a complaint.†
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Definitions:

(1) (however as in: However, complications may...)
though (or another expression that connects contrasting ideas)

Based on idea 1 we might not expect idea 2, but this is a way of saying that even though idea 1 exists, we still have idea 2. Synonyms include in spite of that, despite that, nevertheless, nonetheless, on the other hand, in contrast and but.
(2) (however as in: However much she tried...)
to whatever degree (regardless of how much; or whatever unspecified amount)
(3) (however as in: However you do it, get it done!)
in whatever way
(4) (meaning too rare to warrant focus)
Much more rarely (and arguably incorrectly), however can be used to intensify the word how, as when one says "However did you find her?" Grammarians would suggest using two words for that usage: "How ever did you find her?"