\documentclass[12pt]{article}
\addtolength{\oddsidemargin}{-20mm}
\addtolength{\evensidemargin}{-20mm}
\addtolength{\textwidth}{40mm}
\addtolength{\textheight}{50mm}
\addtolength{\topmargin}{-25mm}   
\usepackage{longtable,array,euler}
\def\z{\zeta}
\def\strut{\rule[-5pt]{0pt}{18pt}}
\begin{document}

\centerline{\bf Logarithm of the associator}

%                       degree 2

\begin{center}
$\begin{array}{c|l}
\z_2&\\
\hline
-1&C_{11}
\end{array}$ \qquad
%                       degree 3
$\begin{array}{c|l}
\z_3&\\
\hline
-1&C_{12}\\
-1&C_{21}
\end{array}$
\\[1cm]

%                       degree 4

$\begin{array}{c|l}
\z_2^2&\\
\hline
\strut-\frac{2}{5}&C_{13}\\
\strut-\frac{1}{10}&C_{22}\\
\strut-\frac{2}{5}&C_{31}
\end{array}$ \qquad
%                       degree 5
$\begin{array}{cc|l}
\z_2\z_3&\z_5&\\
\hline
0&-1&C_{14}\\
1&-2&C_{23}\\
1&-2&C_{32}\\
0&-1&C_{41}\\
\strut\frac{1}{2}&-\frac{1}{2}&[C_{11}C_{12}]\\
\strut\frac{1}{2}&-\frac{3}{2}&[C_{11}C_{21}]
\end{array}$
\\[1cm]

%                       degree 6

$\begin{array}{cc|l}
\z_2^3&\z_3^2&\\
\hline
\strut-\frac{8}{35}&0&C_{15}\\
\strut-\frac{6}{35}&\frac{1}{2}&C_{24}\\
\strut-\frac{23}{70}&1&C_{33}\\
\strut-\frac{6}{35}&\frac{1}{2}&C_{42}\\
\strut-\frac{8}{35}&0&C_{51}\\
\strut-\frac{19}{105}&1&[C_{11}C_{13}]\\
\strut-\frac{69}{140}&\frac{3}{2}&[C_{11}C_{22}]\\
\strut-\frac{17}{105}&0&[C_{11}C_{31}]\\
\strut\frac{2}{105}&-\frac{1}{2}&[C_{12}C_{21}]
\end{array}$ \qquad
%                       degree 7
$\begin{array}{ccc|l}
\z_2^2\z_3&\z_2\z_5&\z_7&\\
\hline
0&0&-1&C_{16}\\
\strut\frac{2}{5}&1&-3&C_{25}\\
\strut\frac{1}{2}&2&-5&C_{34}\\
\strut\frac{1}{2}&2&-5&C_{43}\\
\strut\frac{2}{5}&1&-3&C_{52}\\
0&0&-1&C_{61}\\
\strut\frac{6}{5}&\frac{1}{2}&-4&[C_{11}C_{14}]\\
\strut\frac{11}{5}&\frac{7}{2}&-13&[C_{11}C_{23}]\\
\strut\frac{3}{10}&\frac{13}{2}&-12&[C_{11}C_{32}]\\
\strut0&\frac{5}{2}&-5&[C_{11}C_{41}]\\
1&0&-3&[C_{12}C_{13}]\\
\strut\frac{23}{20}&0&-\frac{61}{16}&[C_{12}C_{22}]\\
\strut-\frac{3}{10}&-\frac{1}{2}&\frac{19}{16}&[C_{12}C_{31}]\\
\strut\frac{4}{5}&\frac{5}{2}&-\frac{99}{16}&[C_{21}C_{13}]\\
\strut\frac{7}{20}&6&-\frac{179}{16}&[C_{21}C_{22}]\\
\strut-\frac{1}{5}&2&-3&[C_{21}C_{31}]\\
\strut\frac{67}{60}&\frac{1}{4}&-\frac{65}{16}&[C_{11}[C_{11}C_{12}]]\\
\strut-\frac{1}{12}&\frac{3}{4}&-\frac{17}{16}&[C_{11}[C_{11}C_{21}]]
\end{array}$
\end{center}

%                       degree 8

$$\begin{array}{cccc|l}
\z_2^4&\z_2\z_3^2&\z_3\z_5&\z_{62}&\\
\hline
\strut-\frac{24}{175}&0&0&0&C_{17}\\
\strut-\frac{6}{35}&0&1&0&C_{26}\\
\strut-\frac{61}{175}&-\frac{1}{2}&3&0&C_{35}\\
\strut-\frac{499}{1400}&-1&4&0&C_{44}\\
\strut-\frac{61}{175}&-\frac{1}{2}&3&0&C_{53}\\
\strut-\frac{6}{35}&0&1&0&C_{62}\\
\strut-\frac{24}{175}&0&0&0&C_{71}\\
\strut-\frac{32}{35}&0&6&-1&[C_{11}C_{15}]\\
\strut-\frac{193}{75}&-\frac{7}{4}&\frac{37}{2}&-\frac{5}{2}&[C_{11}C_{24}]\\
\strut-\frac{499}{350}&-4&16&0&[C_{11}C_{33}]\\
\strut\frac{2}{15}&-\frac{7}{4}&\frac{5}{2}&\frac{5}{2}&[C_{11}C_{42}]\\
\strut\frac{8}{35}&0&-2&1&[C_{11}C_{51}]\\
\strut-\frac{303}{175}&0&\frac{21}{2}&-\frac{5}{2}&[C_{12}C_{14}]\\
\strut-\frac{1747}{525}&-1&\frac{43}{2}&-\frac{9}{2}&[C_{12}C_{23}]\\
\strut-\frac{409}{2100}&-1&3&\frac{3}{4}&[C_{12}C_{32}]\\
\strut\frac{809}{1050}&\frac{1}{2}&-6&\frac{7}{4}&[C_{12}C_{41}]\\
\strut-\frac{1541}{1050}&-\frac{3}{2}&12&-\frac{7}{4}&[C_{21}C_{14}]\\
\strut-\frac{2041}{1050}&-5&21&-\frac{3}{4}&[C_{21}C_{23}]\\
\strut\frac{283}{525}&-3&\frac{5}{2}&\frac{9}{2}&[C_{21}C_{32}]\\
\strut\frac{153}{175}&0&-\frac{11}{2}&\frac{5}{2}&[C_{21}C_{41}]\\
\strut\frac{226}{525}&\frac{3}{2}&-\frac{11}{2}&\frac{3}{4}&[C_{13}C_{22}]\\
\strut\frac{4789}{4200}&2&-11&\frac{3}{2}&[C_{13}C_{31}]\\
\strut\frac{592}{525}&\frac{5}{2}&-\frac{23}{2}&\frac{3}{4}&[C_{22}C_{31}]\\
\strut-\frac{103}{50}&-\frac{1}{2}&13&-2&[C_{11}[C_{11}C_{13}]]\\
\strut\frac{41}{42}&-\frac{9}{4}&-\frac{3}{2}&\frac{9}{2}&[C_{11}[C_{11}C_{22}]]\\
\strut\frac{209}{210}&0&-6&3&[C_{11}[C_{11}C_{31}]]\\
\strut-\frac{27}{14}&\frac{1}{12}&\frac{45}{4}&-\frac{11}{4}&[C_{12}[C_{11}C_{12}]]\\
\strut\frac{458}{525}&\frac{11}{6}&-\frac{35}{4}&\frac{3}{4}&[C_{12}[C_{11}C_{21}]]\\
\strut-\frac{15}{14}&-\frac{19}{6}&\frac{49}{4}&0&[C_{21}[C_{11}C_{12}]]\\
\strut\frac{737}{1050}&\frac{1}{12}&-\frac{17}{4}&\frac{7}{4}&[C_{21}[C_{11}C_{21}]]
\end{array}$$

%                       degree 9

$$\begin{array}{ccccc|l}
\z_2^3\z_3&\z_3^3&\z_2^2\z_5&\z_2\z_7&\z_9&\\
\hline
\strut0&0&0&0&-1&C_{18}\\
\strut\frac{8}{35}&0&\frac{2}{5}&1&-4&C_{27}\\
\strut\frac{2}{5}&-\frac{1}{6}&\frac{9}{10}&3&-\frac{28}{3}&C_{36}\\
\strut\frac{1}{2}&-\frac{1}{2}&\frac{7}{5}&5&-14&C_{45}\\
\strut\frac{1}{2}&-\frac{1}{2}&\frac{7}{5}&5&-14&C_{54}\\
\strut\frac{2}{5}&-\frac{1}{6}&\frac{9}{10}&3&-\frac{28}{3}&C_{63}\\
\strut\frac{8}{35}&0&\frac{2}{5}&1&-4&C_{72}\\
\strut0&0&0&0&-1&C_{81}\\
\strut\frac{8}{7}&0&\frac{6}{5}&\frac{1}{2}&-\frac{19}{2}&[C_{11}C_{16}]\\
\strut\frac{307}{105}&-1&\frac{26}{5}&\frac{17}{2}&-\frac{85}{2}&[C_{11}C_{25}]\\
\strut\frac{1201}{420}&-3&\frac{173}{20}&\frac{51}{2}&-\frac{153}{2}&[C_{11}C_{34}]\\
\strut\frac{1109}{420}&-\frac{5}{2}&\frac{27}{4}&\frac{59}{2}&-\frac{155}{2}&[C_{11}C_{43}]\\
\strut\frac{71}{105}&-\frac{1}{2}&\frac{29}{10}&\frac{37}{2}&-\frac{83}{2}&[C_{11}C_{52}]\\
\strut0&0&\frac{4}{5}&\frac{9}{2}&-\frac{21}{2}&[C_{11}C_{61}]\\
\strut\frac{76}{35}&0&\frac{6}{5}&0&-\frac{29}{2}&[C_{12}C_{15}]\\
\strut\frac{153}{35}&-\frac{11}{12}&\frac{26}{5}&7&-\frac{3449}{72}&[C_{12}C_{24}]\\
\strut\frac{913}{420}&-2&\frac{169}{20}&\frac{269}{16}&-\frac{2147}{36}&[C_{12}C_{33}]\\
\strut\frac{37}{42}&-\frac{3}{4}&\frac{41}{10}&\frac{173}{16}&-\frac{1181}{36}&[C_{12}C_{42}]\\
\strut-\frac{2}{7}&\frac{1}{6}&-\frac{1}{10}&2&-\frac{173}{72}&[C_{12}C_{51}]\\
\strut\frac{52}{35}&-\frac{2}{3}&\frac{14}{5}&7&-\frac{1843}{72}&[C_{21}C_{15}]\\
\strut\frac{76}{21}&-\frac{15}{4}&\frac{17}{2}&\frac{547}{16}&-\frac{3355}{36}&[C_{21}C_{24}]\\
\strut\frac{2027}{420}&-5&\frac{223}{20}&\frac{851}{16}&-\frac{4909}{36}&[C_{21}C_{33}]\\
\strut\frac{57}{35}&-\frac{19}{12}&\frac{83}{10}&38&-\frac{6631}{72}&[C_{21}C_{42}]\\
\strut-\frac{4}{35}&0&\frac{12}{5}&9&-\frac{43}{2}&[C_{21}C_{51}]\\
\strut\frac{8}{7}&0&\frac{1}{5}&0&-\frac{13}{2}&[C_{13}C_{14}]\\
\strut\frac{221}{105}&\frac{1}{3}&\frac{2}{5}&0&-\frac{467}{36}&[C_{13}C_{23}]\\
\strut-\frac{173}{210}&1&\frac{23}{20}&-\frac{19}{8}&\frac{479}{144}&[C_{13}C_{32}]\\
\strut-1&1&-\frac{21}{20}&-\frac{99}{16}&\frac{779}{48}&[C_{13}C_{41}]\\
\strut\frac{36}{35}&-1&\frac{57}{20}&7&-\frac{835}{36}&[C_{22}C_{14}]\\
\strut\frac{351}{140}&-\frac{5}{2}&\frac{27}{5}&\frac{307}{16}&-\frac{4027}{72}&[C_{22}C_{23}]\\
\strut\frac{69}{140}&-\frac{1}{2}&3&\frac{173}{16}&-\frac{2021}{72}&[C_{22}C_{32}]\\
\strut-\frac{36}{35}&1&-\frac{57}{20}&-7&\frac{835}{36}&[C_{22}C_{41}]\\
\strut\frac{3}{2}&-\frac{3}{2}&\frac{49}{20}&\frac{179}{16}&-\frac{1451}{48}&[C_{31}C_{14}]\\
\strut\frac{803}{210}&-4&\frac{29}{4}&\frac{259}{8}&-\frac{12575}{144}&[C_{31}C_{23}]\\
\strut\frac{199}{105}&-2&\frac{43}{5}&30&-\frac{2893}{36}&[C_{31}C_{32}]\\
\strut0&0&\frac{9}{5}&5&-\frac{27}{2}&[C_{31}C_{41}]\\
\end{array}$$


$$\begin{array}{ccccc|l}
\strut\frac{139}{35}&-1&\frac{319}{60}&2&-\frac{2723}{72}&[C_{11}[C_{11}C_{14}]]\\
\strut\frac{137}{42}&-4&\frac{266}{15}&\frac{377}{16}&-\frac{3569}{36}&[C_{11}[C_{11}C_{23}]]\\
\strut\frac{69}{28}&-\frac{5}{2}&\frac{737}{60}&\frac{497}{16}&-\frac{3407}{36}&[C_{11}[C_{11}C_{32}]]\\
\strut0&0&\frac{31}{60}&\frac{25}{2}&-\frac{1607}{72}&[C_{11}[C_{11}C_{41}]]\\
\strut\frac{257}{35}&-\frac{5}{6}&6&\frac{3}{2}&-\frac{685}{12}&[C_{12}[C_{11}C_{13}]]\\
\strut\frac{4}{3}&-\frac{7}{4}&\frac{84}{5}&\frac{313}{32}&-\frac{2423}{36}&[C_{12}[C_{11}C_{22}]]\\
\strut-\frac{641}{420}&\frac{3}{2}&\frac{59}{20}&-\frac{373}{32}&\frac{49}{3}&[C_{12}[C_{11}C_{31}]]\\
\strut-\frac{107}{105}&\frac{11}{12}&-\frac{24}{5}&-\frac{63}{8}&\frac{272}{9}&[C_{12}[C_{12}C_{21}]]\\
\strut\frac{57}{14}&-\frac{9}{2}&16&\frac{1191}{32}&-\frac{1085}{9}&[C_{21}[C_{11}C_{13}]]\\
\strut\frac{86}{15}&-\frac{25}{4}&\frac{201}{10}&\frac{2491}{32}&-\frac{1844}{9}&[C_{21}[C_{11}C_{22}]]\\
\strut-\frac{1}{21}&0&\frac{7}{5}&\frac{49}{2}&-\frac{797}{18}&[C_{21}[C_{11}C_{31}]]\\
\strut-\frac{208}{105}&\frac{25}{12}&-\frac{18}{5}&-\frac{177}{8}&\frac{484}{9}&[C_{21}[C_{12}C_{21}]]\\
\strut-\frac{64}{105}&1&-\frac{29}{10}&-\frac{3}{2}&\frac{221}{18}&[C_{13}[C_{11}C_{12}]]\\
\strut-\frac{39}{14}&3&-\frac{46}{5}&-\frac{645}{32}&\frac{206}{3}&[C_{13}[C_{11}C_{21}]]\\
\strut\frac{197}{420}&0&-\frac{71}{40}&\frac{191}{32}&-\frac{119}{16}&[C_{22}[C_{11}C_{12}]]\\
\strut-\frac{1663}{420}&4&-\frac{85}{8}&-\frac{1335}{32}&\frac{16271}{144}&[C_{22}[C_{11}C_{21}]]\\
\strut\frac{1007}{420}&-\frac{5}{2}&\frac{5}{2}&\frac{727}{32}&-\frac{7655}{144}&[C_{31}[C_{11}C_{12}]]\\
\strut-\frac{1}{15}&0&-\frac{1}{10}&-\frac{17}{2}&\frac{179}{12}&[C_{31}[C_{11}C_{21}]]\\
\strut\frac{19}{35}&-1&\frac{787}{120}&\frac{65}{32}&-\frac{3299}{144}&[C_{11}[C_{11}[C_{11}C_{12}]]]\\
\strut0&0&\frac{91}{40}&\frac{17}{32}&-\frac{347}{48}&[C_{11}[C_{11}[C_{11}C_{21}]]]
\end{array}$$

\end{document}
