This data set is a tabulation of associated Legendre functions of the first, sometimes called the regular solutions, computed for values on the real axis ranging from 0.0 to 10.0. It was created by a new program which has been implemented in C++ using template meta programming, to compute associated Legendre functions of the first and second kind of integer order (l) and degree (m) and complex argument (z). The mathematical equations, along with a short table of values, are given the book (see page 118 and following) Shanjie Zhang and Jianming Jin, Computation of Special Functions, publishers: Wiley, 1996, ISBN: 0-471-11963-6, LC: QA351.C45. The output from this new program has been verified against the tables printed in the book. This data set is provided because i) it covers a wider range of arguments than published in the tables in the book ii) it has many more l,m values than the tables in the book Note that this data set was computed using data type long double on an Intel CPU.