texlive[48265] Master/texmf-dist: dynkin-diagrams (24jul18)

commits+karl at tug.org commits+karl at tug.org
Tue Jul 24 23:40:02 CEST 2018


Revision: 48265
          http://tug.org/svn/texlive?view=revision&revision=48265
Author:   karl
Date:     2018-07-24 23:40:01 +0200 (Tue, 24 Jul 2018)
Log Message:
-----------
dynkin-diagrams (24jul18)

Modified Paths:
--------------
    trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/README
    trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.bib
    trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.pdf
    trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex
    trunk/Master/texmf-dist/tex/latex/dynkin-diagrams/dynkin-diagrams.sty

Modified: trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/README
===================================================================
--- trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/README	2018-07-24 05:29:21 UTC (rev 48264)
+++ trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/README	2018-07-24 21:40:01 UTC (rev 48265)
@@ -2,9 +2,9 @@
 
             Dynkin diagrams
                
-                v3.13
+                v3.14
 
-            18 July 2018
+            24 July 2018
 ___________________________________
 
 Authors   : Ben McKay
@@ -16,4 +16,4 @@
 ----------------------------------------------------------------------
 
 Draws Dynkin, Coxeter and Satake  di­a­grams in LaTeX doc­u­ments, us­ing the TikZ pack­age.
-Version 3.13 allows colouring of arrows.
+Version 3.14 simplifies drawing braces under several nodes.

Modified: trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.bib
===================================================================
--- trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.bib	2018-07-24 05:29:21 UTC (rev 48264)
+++ trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.bib	2018-07-24 21:40:01 UTC (rev 48265)
@@ -2,6 +2,24 @@
 % Encoding: ISO8859_1
 
 
+ at Book{Adams:1996,
+  Title                    = {Lectures on exceptional {L}ie groups},
+  Author                   = {Adams, J. F.},
+  Publisher                = {University of Chicago Press, Chicago, IL},
+  Year                     = {1996},
+  Note                     = {With a foreword by J. Peter May,
+ Edited by Zafer Mahmud and Mamoru Mimura},
+  Series                   = {Chicago Lectures in Mathematics},
+
+  ISBN                     = {0-226-00526-7; 0-226-00527-5},
+  Mrclass                  = {22-01 (22E10)},
+  Mrnumber                 = {1428422},
+  Mrreviewer               = {William M. McGovern},
+  Owner                    = {user},
+  Pages                    = {xiv+122},
+  Timestamp                = {2018.07.22}
+}
+
 @Article{Baba:2009,
   Title                    = {Satake diagrams and restricted root systems of semisimple pseudo-{R}iemannian symmetric spaces},
   Author                   = {Baba, Kurando},

Modified: trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.pdf
===================================================================
(Binary files differ)

Modified: trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex	2018-07-24 05:29:21 UTC (rev 48264)
+++ trunk/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex	2018-07-24 21:40:01 UTC (rev 48265)
@@ -1,8 +1,8 @@
 \documentclass{amsart}
 
-\title{The Dynkin diagrams package \\ Version 3.13}
+\title{The Dynkin diagrams package \\ Version 3.14}
 \author{Ben McKay}
-\date{18 July 2018}
+\date{24 July 2018}
  
 \usepackage{etex}
 \usepackage[T1]{fontenc}
@@ -126,7 +126,10 @@
   \fi}
 \makeatother
 
+\fvset{fontsize=\small}
+
 \begin{document}
+
 \maketitle
 \begin{center}
 \begin{varwidth}{\textwidth}
@@ -303,6 +306,23 @@
 \end{tikzpicture}
 \end{tcblisting}
 
+\begin{tcblisting}{title={Labelling several roots}}
+\begin{tikzpicture}
+\dynkin{A}{*.*x*.*} 
+\dynkinBrace[p]{1}{2}
+\dynkinBrace[q]{4}{5}
+\end{tikzpicture}
+\end{tcblisting}
+
+\begin{tcblisting}{title={Labelling several roots, and a starred form}}
+\begin{tikzpicture}
+\dynkin{A}{10}
+\dynkinBrace[\text{Roots 2 to 9}]{2}{9}
+\dynkinBrace*[\text{Roots 3 to 8}]{3}{8}
+\end{tikzpicture}
+\end{tcblisting}
+
+
 \section{Style}
 
 \begin{tcblisting}{title={Colours}}
@@ -393,6 +413,10 @@
 Roots are listed in the current default ordering.
 (Careful: in an affine root system, a mark list will \emph{not} contain a mark for root zero.)
 
+If you need to repeat a mark, you can give a \emph{single digit} positive integer to indicate how many times to repeat it.
+\begin{tcblisting}{title={A mark list with repetitions}}
+\dynkin{A}{x4o3t4}
+\end{tcblisting}
 
 \NewDocumentCommand\ClassicalLieSuperalgebras{om}%
 {%
@@ -563,6 +587,8 @@
 \endgroup
 
 
+
+
 \section{Parabolic subgroups}
 
 Each set of roots is assigned a number, with each binary digit zero or one to say whether the corresponding root is crossed or not:
@@ -572,51 +598,34 @@
 the Dynkin diagram \dynkin[parabolic=3]{A}{3}.
 \end{tcblisting}
 
-\NewDocumentCommand\HSS{mommm}%
-{%
-	\begingroup
-	\renewcommand*{\arraystretch}{1.2}
-	\begin{tabular}{@{}>{$}r<{$}@{}m{6cm}@{}}
-	\\
-	\IfNoValueTF{#2}%
-	{%
-		#1 & \dynkin{#3}{#4} \\
-		   & \csDynkin{#3}{#4} \\
-	}%
-	{%
-		#1 & \dynkin[#2]{#3}{#4} \\
-		   & \csDynkin[#2]{#3}{#4} \\
-	}%
-	& #5%
-	\\[.75em]
-	\end{tabular}
-	\endgroup
-	\\ 
-}%
-
-\renewcommand*{\arraystretch}{1}
-\begin{longtable}{>{\columncolor[gray]{.9}}p{7cm}}
-\caption{The Hermitian symmetric spaces}
-\endfirsthead
-\caption{\dots continued}\\
-\endhead
-\caption{continued \dots}\\
-\endfoot
+\begin{filecontents*}{hermitian-symmetric-spaces.tex}
+\NewDocumentCommand\HSS{mommm}
+{#1&\IfNoValueTF{#2}{\dynkin{#3}{#4}}{\dynkin[parabolic=#2]{#3}{#4}}&#5\\}
+\renewcommand*{\arraystretch}{1.5}
+\begin{longtable}
+{>{\columncolor[gray]{.9}}>$l<$>{\columncolor[gray]{.9}}>$l<$>{\columncolor[gray]{.9}}l}
+\caption{The Hermitian symmetric spaces}\endfirsthead
+\caption{\dots continued}\\ \endhead
+\caption{continued \dots}\\ \endfoot
 \endlastfoot
 \HSS{A_n}{A}{**.*x*.**}{Grassmannian of $k$-planes in $\C{n+1}$}
-\HSS{B_n}[parabolic=1]{B}{}{$(2n-1)$-dimensional hyperquadric, i.e. the variety of null lines in $\C{2n+1}$}
-\HSS{C_n}[parabolic=16]{C}{}{space of Lagrangian $n$-planes in $\C{2n}$}
-\HSS{D_n}[parabolic=1]{D}{}{$(2n-2)$-dimensional hyperquadric, i.e. the variety of null lines in $\C{2n}$}
-\HSS{D_n}[parabolic=32]{D}{}{one component of the variety of maximal dimension null subspaces of $\C{2n}$}
-\HSS{D_n}[parabolic=16]{D}{}{the other component}
-\HSS{E_6}[parabolic=1]{E}{6}{complexified octave projective plane}
-\HSS{E_6}[parabolic=32]{E}{6}{its dual plane}
-\HSS{E_7}[parabolic=64]{E}{7}{the space of null octave 3-planes in octave 6-space}
+\HSS{B_n}[1]{B}{}{$(2n-1)$-dimensional hyperquadric, i.e. the variety of null lines in $\C{2n+1}$}
+\HSS{C_n}[16]{C}{}{space of Lagrangian $n$-planes in $\C{2n}$}
+\HSS{D_n}[1]{D}{}{$(2n-2)$-dimensional hyperquadric, i.e. the variety of null lines in $\C{2n}$}
+\HSS{D_n}[32]{D}{}{one component of the variety of maximal dimension null subspaces of $\C{2n}$}
+\HSS{D_n}[16]{D}{}{the other component}
+\HSS{E_6}[1]{E}{6}{complexified octave projective plane}
+\HSS{E_6}[32]{E}{6}{its dual plane}
+\HSS{E_7}[64]{E}{7}{the space of null octave 3-planes in octave 6-space}
 \end{longtable}
+\end{filecontents*}
+\begingroup
+\input{hermitian-symmetric-spaces.tex}
+\endgroup
+\VerbatimInput{hermitian-symmetric-spaces.tex}
 
 
 
-
 \section{Extended Dynkin diagrams}
 
 \begin{tcblisting}{title={Extended Dynkin diagrams}}
@@ -645,6 +654,9 @@
 \end{dynkinTable}
 
 
+
+
+
 \section{Affine twisted and untwisted Dynkin diagrams}
 
 The affine Dynkin diagrams are described in the notation of Kac \cite{Kac:1990} p. 55:
@@ -717,11 +729,14 @@
 \end{dynkinTable}
 
 
+
+
+
 \section{Kac style}
 
 We include a style called \verb!Kac! which tries to imitate the style of \cite{Kac:1990}.
 
-\begin{tcblisting}{title={Kac style}}
+\begin{tcblisting}{title={Kac style},colback=white}
 \dynkin[Kac]{F}{4}
 \end{tcblisting}
 
@@ -746,6 +761,7 @@
 
 
 
+
 \section{Folded Dynkin diagrams}
 
 The Dynkin diagrams package has limited support for folding Dynkin diagrams.
@@ -939,6 +955,11 @@
 \end{dynkinTable}
 \endgroup
 
+
+
+
+
+
 \section{Root ordering}\label{section:order}
 
 \begin{tcblisting}{title={Root ordering}}
@@ -949,21 +970,16 @@
 \dynkin[label,ordering=Kac]{E}{6}
 \end{tcblisting}
 Default is Bourbaki.
+Sources are Adams \cite{Adams:1996} p. 56--57, Bourbaki \cite{Bourbaki:2002} p. pp. 265--290 plates I-IX, Carter \cite{Carter:2005} p. 540--609, Dynkin \cite{Dynkin:1952}, Kac \cite{Kac:1990} p. 43. 
 
 \NewDocumentCommand\tablerow{mm}%
 {%
-#1_{#2}
-&
-\dynkin[label,ordering=Adams]{#1}{#2}
-&
-\dynkin[label]{#1}{#2}
-&
-\dynkin[label,ordering=Carter]{#1}{#2}
-&
-\dynkin[label,ordering=Dynkin]{#1}{#2}
-&
-\dynkin[label,ordering=Kac]{#1}{#2}
-\\ 
+#1_{#2}&
+\dynkin[label,ordering=Adams]{#1}{#2}&
+\dynkin[label]{#1}{#2}&
+\dynkin[label,ordering=Carter]{#1}{#2}&
+\dynkin[label,ordering=Dynkin]{#1}{#2}&
+\dynkin[label,ordering=Kac]{#1}{#2}\\ 
 }%
 
 \begin{center}
@@ -974,21 +990,39 @@
 & Adams & Bourbaki & Carter & Dynkin & Kac \\ \midrule
 \endfirsthead
 \toprule
-Adams & Bourbaki & Carter & Dynkin & Kac \\ \midrule
+& Adams & Bourbaki & Carter & Dynkin & Kac \\ \midrule
 \endhead
 \bottomrule
 \endfoot
 \bottomrule
 \endlastfoot
-\tablerow{E}{6}
-\tablerow{E}{7}
-\tablerow{E}{8}
-\tablerow{F}{4}
-\tablerow{G}{2}
+\tablerow{E}{6}\tablerow{E}{7}\tablerow{E}{8}\tablerow{F}{4}\tablerow{G}{2}
 \end{longtable}
 \end{center}
 
+The marks are set down in order according to the current root ordering:
+\begin{tcblisting}{}
+\begin{tikzpicture}
+\dynkin[label]{E}{*otxXOt*}
+\end{tikzpicture}
+\end{tcblisting}
 
+\begin{tcblisting}{}
+\begin{tikzpicture}
+\dynkin[label,ordering=Carter]{E}{*otxXOt*}
+\end{tikzpicture}
+\end{tcblisting}
+
+\begin{tcblisting}{}
+\begin{tikzpicture}
+\dynkin[label,ordering=Kac]{E}{*otxXOt*}
+\end{tikzpicture}
+\end{tcblisting}
+
+
+
+
+
 \section{Connecting Dynkin diagrams}\label{section:name}
 
 We can make some sophisticated folded diagrams by drawing multiple diagrams, each with a name:
@@ -1318,86 +1352,51 @@
 \endgroup
 
 
-\begingroup
+\begin{filecontents*}{simple-lie-algebras.tex}
+\NewDocumentEnvironment{bunch}{}%
+{\renewcommand*{\arraystretch}{1}\begin{array}{@{}ll@{}}\\ \midrule}{\\ \midrule\end{array}}
 \small
-\newcolumntype{F}{>{\columncolor[gray]{.9}}>{$}m{\wdtD}<{$}}
-\newcolumntype{G}{>{\columncolor[gray]{.9}}>{$}m{\wdtE}<{$}}
-\newcolumntype{H}{>{\columncolor[gray]{.9}}>{$}m{\wdtL}<{$}}
-\newcolumntype{I}{>{\columncolor[gray]{.9}}>{$}m{3cm}<{$}}
-\RenewDocumentCommand\wdtA{}{.2cm}
-\RenewDocumentCommand\wdtD{}{2.1cm}
-\RenewDocumentCommand\wdtE{}{4.1cm}
-\RenewDocumentCommand\wdtL{}{3.5cm}
-\NewDocumentCommand\LieG{}{\ensuremath{\mathfrak{g}}}
-\NewDocumentCommand\R{m}{\ensuremath{\mathbb{R}^{#1}}}
+\NewDocumentCommand\nct{mm}{\newcolumntype{#1}{>{\columncolor[gray]{.9}}>{$}m{#2cm}<{$}}}
+\nct{G}{.3}\nct{D}{2.1}\nct{W}{2.8}\nct{R}{3.7}\nct{S}{3}
+\NewDocumentCommand\LieG{}{\mathfrak{g}}
+\NewDocumentCommand\W{om}{\ensuremath{\mathbb{Z}^{#2}\IfValueT{#1}{/\left<#1\right>}}}
 \renewcommand*{\arraystretch}{1.5}
-\begin{longtable}{ADIGH}
-\LieG & \text{diagram} & V & \Delta & \alpha_i \\ \midrule 
-\endfirsthead
-\LieG & \text{diagram} & V & \Delta & \alpha_i \\ \midrule 
-\endhead
-A_n & \dynkin{A}{} &
-\R{n+1}/\left<\sum e_j\right> & e_i-e_j & e_i-e_{i+1} \\
-B_n & \dynkin{B}{} & 
-\R{n} & \pm e_i, \pm e_i \pm e_j, i\ne j & e_i-e_{i+1}, e_n \\
-C_n & \dynkin{C}{} & 
-\R{n} & \pm 2 e_i, \pm e_i \pm e_j, i\ne j & e_i-e_{i+1}, 2e_n \\
-D_n & \dynkin{D}{} & \R{n} & \pm e_i \pm e_j, i\ne j & \begin{cases}e_i-e_{i+1}, & i\le n-2 \\ e_{n-1}+e_n \end{cases} \\
-E_8 & \dynkin{E}{8} & \R{8} &
-\begin{cases}
-\pm 2 e_i \pm 2 e_j, & i \ne j, \\
-\sum_i (-1)^{m_i} e_i, & \sum m_i \text{ even}
-\end{cases}
-&
-\begin{cases}
-2e_1-2e_2, \\
-2e_2-2e_3, \\
-2e_3-2e_4, \\
-2e_4-2e_5, \\
-2e_5-2e_6, \\
-2e_6+2e_7, \\
--\sum e_j, \\
-2e_6-2e_7
-\end{cases}
-\\
-E_7 & \dynkin{E}{7} &
-\R{8}/\left<e_1-e_2\right>
-& \text{quotient of } E_8 & \text{quotient of } E_8
-\\
-E_6 & \dynkin{E}{6} & \R{8}/\left<e_1-e_2,e_2-e_3\right> & \text{quotient of } E_8 & \text{quotient of } E_8
-\\
-F_4  & \dynkin{F}{4} & \R{4} & 
-\begin{cases}
-\pm 2e_i, \\
-\pm 2e_i \pm 2e_j, i \ne j, \\
-\pm e_1 \pm e_2 \pm e_3 \pm e_4
-\end{cases}
-&
-\begin{cases}
-2e_2-2e_3, \\
-2e_3-2e_4, \\
-2e_4, \\ 
-e_1-e_2-e_3-e_4
-\end{cases}
-\\
-G_2 & \dynkin{G}{2} & \R{3}/\left<\sum e_j\right>
-& \begin{cases} 
-\pm(1,-1,0), & \\
-\pm(-1,0,1), & \\
-\pm(0,-1,1), & \\
-\pm(2,-1,-1), & \\
-\pm(1,-2,1), & \\
-\pm(-1,-1,2)
-\end{cases}
-& \begin{cases} 
-(-1,0,1), & \\
-(2,-1,-1)
-\end{cases}
+\NewDocumentCommand\quo{}{\text{quotient of } E_8}
+\begin{longtable}{@{}GDWRS@{}}
+\LieG&\text{Diagram}&\text{Weights}&\text{Roots}&\text{Simple roots}\\ \midrule\endfirsthead
+\LieG&\text{Diagram}&\text{Weights}&\text{Roots}&\text{Simple roots}\\ \midrule\endhead
+A_n&\dynkin{A}{}&\W[\sum e_j]{n+1}&e_i-e_j&e_i-e_{i+1}\\
+B_n&\dynkin{B}{}&\W{n}& \pm e_i, \pm e_i \pm e_j, i\ne j&e_i-e_{i+1}, e_n\\
+C_n&\dynkin{C}{}&\W{n}& \pm 2 e_i, \pm e_i \pm e_j, i\ne j&e_i-e_{i+1}, 2e_n\\
+D_n&\dynkin{D}{}&\W{n}& \pm e_i \pm e_j, i\ne j &
+\begin{bunch}e_i-e_{i+1},&i\le n-1\\e_{n-1}+e_n\end{bunch}\\
+E_8&\dynkin{E}{8}&\W{8}&
+\begin{bunch}\pm2e_i\pm2e_j,&i\ne j,\\ \sum_i(-1)^{m_i}e_i,&\sum m_i \text{ even}\end{bunch}&
+\begin{bunch}
+2e_1-2e_2,\\2e_2-2e_3,\\2e_3-2e_4,\\2e_4-2e_5,\\2e_5-2e_6,\\2e_6+2e_7,\\
+-\sum e_j,\\2e_6-2e_7
+\end{bunch}\\
+E_7&\dynkin{E}{7}&\W[e_1-e_2]{8}&\quo&\quo\\
+E_6&\dynkin{E}{6}&\W[e_1-e_2,e_2-e_3]{8}&\quo&\quo\\
+F_4& \dynkin{F}{4}&\W{4}&
+\begin{bunch}\pm 2e_i,\\ \pm 2e_i \pm 2e_j, \quad i \ne j,\\ \pm e_1 \pm e_2 \pm e_3 \pm e_4
+\end{bunch}&
+\begin{bunch}2e_2-2e_3,\\2e_3-2e_4,\\2e_4,\\e_1-e_2-e_3-e_4\end{bunch}\\
+G_2&\dynkin{G}{2}&\W[\sum e_j]{3}&
+\begin{bunch}
+\pm(1,-1,0),\\ \pm(-1,0,1),\\ \pm(0,-1,1),\\ \pm(2,-1,-1),\\ \pm(1,-2,1),\\ \pm(-1,-1,2)
+\end{bunch}&
+\begin{bunch}(-1,0,1),\\(2,-1,-1)\end{bunch}
 \end{longtable}
+\end{filecontents*}
+\newpage
+\begingroup
+\input{simple-lie-algebras.tex}
 \endgroup
+\newpage
+\VerbatimInput{simple-lie-algebras.tex}
+\newpage
 
-
-
 \section{Syntax}
 
 The syntax is \verb!\dynkin[<options>]{<letter>}[<twisted rank>]{<rank>}! where \verb!<letter>! is \verb!A!, \verb!B!, \verb!C!, \verb!D!, \verb!E!, \verb!F! or \verb!G!, the family of root system for the Dynkin diagram, \verb!<twisted rank>! is \verb!0!, \verb!1!, \verb!2!, \verb!3! (default is \verb!0!) representing:

Modified: trunk/Master/texmf-dist/tex/latex/dynkin-diagrams/dynkin-diagrams.sty
===================================================================
--- trunk/Master/texmf-dist/tex/latex/dynkin-diagrams/dynkin-diagrams.sty	2018-07-24 05:29:21 UTC (rev 48264)
+++ trunk/Master/texmf-dist/tex/latex/dynkin-diagrams/dynkin-diagrams.sty	2018-07-24 21:40:01 UTC (rev 48265)
@@ -2,7 +2,7 @@
 %
 %                                  The Dynkin Diagrams package.
 %
-%                                            Version 3.13
+%                                            Version 3.14
 %
 %
 %               This package draws Dynkin diagrams in LaTeX documents, using the TikZ package.
@@ -18,7 +18,7 @@
 %
 %
 \NeedsTeXFormat{LaTeX2e}[1994/06/01]
-\ProvidesPackage{dynkin-diagrams}[2018/07/18 Dynkin diagrams]
+\ProvidesPackage{dynkin-diagrams}[2018/07/24 Dynkin diagrams]
 \RequirePackage{tikz}
 \RequirePackage{xstring}
 \RequirePackage{xparse}
@@ -26,11 +26,7 @@
 \RequirePackage{expl3}
 \RequirePackage{pgfkeys}
 \RequirePackage{pgfopts}
-\usetikzlibrary{arrows,arrows.meta}
-\usetikzlibrary{backgrounds}
-\usetikzlibrary{calc}
-\usetikzlibrary{decorations.markings}
-\usetikzlibrary{fit}
+\usetikzlibrary{arrows,arrows.meta,backgrounds,calc,decorations.markings,fit,patterns,snakes}
 
 %%
 %% Application programming interface: 
@@ -186,6 +182,30 @@
 	}%
 }%
 
+
+\NewDocumentCommand\dynkinBrace{somm}%[text]{start}{end}
+{%
+\draw[decoration=
+		{
+			brace,
+			\IfBooleanF{#1}{mirror},
+			raise=0.05cm,
+		},
+	decorate] 
+    ($(root #3)-({\dynkin at root@radius},\IfBooleanTF{#1}{{-\dynkin at root@radius}}{{\dynkin at root@radius}})$) 
+    -- 
+    ($(root #4)+({\dynkin at root@radius},\IfBooleanTF{#1}{{\dynkin at root@radius}}{{-\dynkin at root@radius}})$) 
+    node 
+    [
+    	pos=0.5,
+	   	anchor=\IfBooleanTF{#1}{south}{north},
+  		yshift=\IfBooleanTF{#1}{1mm}{-1mm},
+    	/Dynkin diagram/text
+] 
+{\IfValueT{#2}{\(#2\)}};%
+}
+
+
 %% \dynkinPrintLabels
 %% Prints the default labels on the Dynkin diagram, in the given ordering.
 \newcommand{\dynkinPrintLabels}%
@@ -1838,7 +1858,7 @@
 	\xdef\dynkin at twisted@series{#3}%
 	\xdef\dynkin at user@string{#4}%
 	\global\dynkin at ply=\dynkin at ply@value\relax%
-	\xdef\dynkin at indefinite@edge at length{(\dynkin at edge@length*\dynkin at indefinite@edge at ratio)}\relax%
+\xdef\dynkin at indefinite@edge at length{(\dynkin at edge@length*\dynkin at indefinite@edge at ratio)}\relax%
 	\xdef\dynkin at series{#2}%
 	\IfStrEq{\dynkin at diagram@name}{anonymous}%
 	{%
@@ -2646,7 +2666,7 @@
 	\foreach \b in {1,...,\the\dynkin at nodes}%
 	{%
 		\StrChar{\dynkin at roots}{\b}[\c]%
-		\dynkinRootMark*{\c}{\b}%
+		\dynkinRootMark{\c}{\b}%
 	}%
 	\ifdynkin at is@extended%
 		\dynkinRootMark*{\dynkin at affine@root at mark}{0}%



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