quixotically

from WordNet (r) 3.0 (2006)

quixotically
    adv 1: in a quixotic manner; "sent to jail for two years, he has
           quixotically refused to clear himself by betraying his
           colleagues"

from The Collaborative International Dictionary of English v.0.48

Quixotically \Quix*ot"ic*al*ly\ (kw[i^]ks*[o^]t"[i^]*kal*l[y^]),
   adv.
   In a quixotic way.
   [1913 Webster]

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