The Collaborative International Dictionary of English v.0.48:

Accurately \Ac"cu*rate*ly\, adv.
   In an accurate manner; exactly; precisely; without error or
   defect.
   [1913 Webster]

WordNet (r) 3.0 (2006):

accurately
    adv 1: with few mistakes; "he works very accurately" [ant:
           inaccurately]
    2: strictly correctly; "repeated the order accurately"

Moby Thesaurus II by Grady Ward, 1.0:

37 Moby Thesaurus words for "accurately":
   bang, conscientiously, correctly, exactingly, exactly, exquisitely,
   faultlessly, flawlessly, fussily, in detail, just right, just so,
   meticulously, minutely, nicely, perfectly, precisely, properly,
   punctiliously, punctually, refinedly, right, rightly, rigorously,
   scrupulously, sharp, sic, smack-dab, so, spang, square, squarely,
   straight, strictly, with exactitude, with great nicety,
   with precision