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The Collaborative International Dictionary
Elucubrate

Elucubrate \E*lu"cu*brate\, v. i. [L. elucubratus, p. p. of elucubrare to compose by lamplight.] See Lucubrate. [Obs.]
--Blount.

Wiktionary
elucubrate

vb. To solve, write or compose by working studiously at night; to study.