The Collaborative International Dictionary of English v.0.48:

Archaeologic \Ar`ch[ae]*o*log"ic\
   ([aum]r`k[-e]*[-o]*l[o^]j"[i^]k), Archaeological
\Ar`ch[ae]*o*log"ic*al\ ([aum]r`k[-e]*[-o]*l[o^]j"[i^]*kal),
   Relating to arch[ae]ology, or antiquities; as,
   arch[ae]ological researches. -- Ar`*ch[ae]*o*log"ic*al*ly,
   adv.
   [1913 Webster]