  We define a regulator map from the weight n polylogarithmic motivic complex
to the weight n Deligne complex of an algebraic variety X. The regulator map is
constructed explicitly via the classical polylogarithms with some funny
combinations of Bernoulli numbers as coefficients. This leads to conjectures on
special values of L-functions at s=n which reduce to Zagier's conjecture when X
is of dimension zero over Q.
  The cone of this map, shifted by one, should be called the Arakelov motivic
complex of X. Its last cohomology group is identified with a group of
codimension n Arakelov cycles on X.
