S.Duzhin
(updated on 13.02.2013)

Here are programs and data to obtain the expression of log(associator)
up to degree 12 through a version of Hall monomials arranged according 
to the filtration in the Free Lie algebra
L' > L''=[L',L'] > L'''=[L',L''] > ...
with coefficients in the algebra of multiple zeta values (MZV).
Terms corresponding to [L'',L''] also written near each other.

The file asso_log2-12.txt contains the expansion of log(associator)
un to degree 12 in a machine-readable form.
The files asso_log2-9.pdf and asso_log10-12.pdf, obtained from
TeX source files asso_log2-9.tex and asso_log10-12.tex, contain the
saamee information in human-readable form.

The other files in this directory are initial data files obtained from
third-party sources (the list of Hall words from the Combinatorial Object
Server, the tables of relations between MZV -- from the web page of
M.Petitot, files assolist.N contain the Nth degree terms of the full
associator obtained by the formula of Le and Murakami) as well as some
Pascal and Maple programs written by the present author.

Sequence of actions required to obtain the result:

1. Edit the initial file hall_bas.N by a text editor:
   rearranging the lines according to filtration,
   call the result hall_bas.Nf
2. Run hall_bas.pas: hall_bas.Nf -> bas_comm.Nf
   In the resulting files remove manually one comma in the last but one line.
3. Run asso_log12.mpl using the files bas_comm.Nf instead of bas_comm.N.
   Call the result asso_log12f.res.
4. Edit hall_bas.Nf rewriting basic Hall monomials in shorthand notation,
      e.g. ((A,B),(A,(A,B))) -> (C_{11}C_{12})
   call the result hall_bas.Nfs
5. Using the program merge.pas, merge the files asso_log12f.out and 
   hall_bas.2-12f. Get a computer readable file.
6. Convert it to TeX to get a human-readable file.