In an undeniable manner, or to an undeniable extent.
[A]nd gaunt though his figure, and far from elegant though his dressing-robe, there was that about him which spoke undeniably of the grand seigneur— [...]
Used as a modal adverb to assert that that the indicated statement is undeniable.
The third movie was undeniably the best.
From undeniable + -ly, equivalent to un- + deny + -ably.
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