on the punctured affine line "A"1 − {0} (that is, on the nonzero complex numbers C − {0}). Here "a" is a fixed complex number. This equation has regular singularities at 0 and ∞ in the projective line P1. The local solutions of the equation are of the form "cza" for constants "c". If "a" is not an integer, then the function "za" cannot be made well-defined on all of C − {0}. That means that the equation has nontrivial monodromy. Explicitly, the monodromy of this equation is the 1-dimensional representation of the fundamental group 1("A"1 − {0}) = Z in which the generator (a loop around the origin) acts by multiplication by "e2ia".