All 7 Uses

however
in
Ancillary Justice
(Auto-generated)

The niece, however, had lost her parents during the annexation.†
p. 57.3 *

however = a word used to connect contrasting ideas as when using though, in spite of that, in contrast, nevertheless, etc.
Your family has been paying some of that cost, however small.†
p. 64.2 *

however = to whatever degree (regardless of how much; or whatever unspecified amount)
You are, however, the first to claim they'd fallen off the bridge and lived.†
p. 220.7

however = a word used to connect contrasting ideas as when using though, in spite of that, in contrast, nevertheless, etc.
From the moment of impact, it makes however much energy it needs to cut through the target for precisely 1.11 meters.†
p. 376.9

however = to whatever degree (regardless of how much; or whatever unspecified amount)
So long as her own farming provided income, she wouldn't need an assignment, and neither would her heir—however many heirs the land might support.†
p. 57.3
Meaningless, unless they impel you to one choice or another, some deed or course of action, however insignificant.†
p. 247.9 *
Spend it however you like.†
p. 312.7

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?"