\input amstex
%\input amsppt.sty
\input sekr
\magnification1200
\input path.sty

\NoRunningHeads
\TagsOnRight
\loadbold

%\eightpoint
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%LaTeX \circle und \box Definitionen%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\catcode`\@=11
\newif\if@ovt
\newif\if@ovb
\newif\if@ovl
\newif\if@ovr
\newdimen\@ovxx
\newdimen\@ovyy
\newdimen\@ovdx
\newdimen\@ovdy
\newdimen\@ovro
\newdimen\@ovri
\newcount\@tempcnta
\newcount\@tempcntb
\newdimen\@tempdima
\newdimen\@tempdimb
\newdimen\@wholewidth
\newdimen\@halfwidth
\newdimen\unitlength \unitlength =1pt

\def\thinlines{\let\@linefnt\tenln \let\@circlefnt\tencirc
  \@wholewidth\fontdimen8\tenln \@halfwidth .5\@wholewidth}
\def\thicklines{\let\@linefnt\tenlnw \let\@circlefnt\tencircw
  \@wholewidth\fontdimen8\tenlnw \@halfwidth .5\@wholewidth}

\font\tenln    = line10
\font\tenlnw   = linew10
\font\tencirc  = lcircle10    % 21 Nov 89 : circle10 -> lcircle10
\font\tencircw = lcirclew10   % 21 Nov 89 : circlew10 -> lcirclew10
\thinlines

\def\@ifstar#1#2{\@ifnextchar *{\def\@tempa*{#1}\@tempa}{#2}}
\def\@ifnextchar#1#2#3{\let\@tempe #1\def\@tempa{#2}\def\@tempb{#3}\futurelet
    \@tempc\@ifnch}
\def\@ifnch{\ifx \@tempc \@sptoken \let\@tempd\@xifnch
      \else \ifx \@tempc \@tempe\let\@tempd\@tempa\else\let\@tempd\@tempb\fi
      \fi \@tempd}

\def\@getcirc#1{\@tempdima #1\relax \advance\@tempdima 2pt\relax
  \@tempcnta\@tempdima
  \@tempdima 4pt\relax \divide\@tempcnta\@tempdima
  \ifnum \@tempcnta > 10\relax \@tempcnta 10\relax\fi
  \ifnum \@tempcnta >\z@ \advance\@tempcnta\m@ne
    \else \@warning{Oval too small}\fi
  \multiply\@tempcnta 4\relax
  \setbox \@tempboxa \hbox{\@circlefnt
  \char \@tempcnta}\@tempdima \wd \@tempboxa}

\def\@put#1#2#3{\raise #2\hbox to \z@{\hskip #1#3\hss}}

\def\circle{\@ifstar{\@dot}{\@circle}}
\def\@circle#1{\begingroup \boxmaxdepth \maxdimen \@tempdimb #1\unitlength
   \ifdim \@tempdimb >15.5pt\relax \@getcirc\@tempdimb
      \@ovro\ht\@tempboxa
     \setbox\@tempboxa\hbox{\@circlefnt
      \advance\@tempcnta\tw@ \char \@tempcnta
      \advance\@tempcnta\m@ne \char \@tempcnta \kern -2\@tempdima
      \advance\@tempcnta\tw@
      \raise \@tempdima \hbox{\char\@tempcnta}\raise \@tempdima
        \box\@tempboxa}\ht\@tempboxa\z@ \dp\@tempboxa\z@
      \@put{-\@ovro}{-\@ovro}{\box\@tempboxa}%
   \else  \@circ\@tempdimb{96}\fi\endgroup}

\def\@dot#1{\@tempdimb #1\unitlength \@circ\@tempdimb{112}}

\def\@circ#1#2{\@tempdima #1\relax \advance\@tempdima .5pt\relax
   \@tempcnta\@tempdima \@tempdima 1pt\relax
   \divide\@tempcnta\@tempdima
   \ifnum\@tempcnta > 15\relax \@tempcnta 15\relax \fi
   \ifnum \@tempcnta >\z@ \advance\@tempcnta\m@ne\fi
   \advance\@tempcnta #2\relax
   \@circlefnt \char\@tempcnta}

\def\@nnil{\@nil}
\def\@empty{}
\def\@fornoop#1\@@#2#3{}

\def\@tfor#1:=#2\do#3{\xdef\@fortmp{#2}\ifx\@fortmp\@empty \else
    \@tforloop#2\@nil\@nil\@@#1{#3}\fi}
\def\@tforloop#1#2\@@#3#4{\def#3{#1}\ifx #3\@nnil
       \let\@nextwhile=\@fornoop \else
      #4\relax\let\@nextwhile=\@tforloop\fi\@nextwhile#2\@@#3{#4}}

\def\@height{height}
\def\@depth{depth}
\def\@width{width}

\def\newbox{\alloc@4\box\chardef\insc@unt}

\def\@makebox[#1]{\leavevmode\@ifnextchar [{\@imakebox[#1]}{\@imakebox[#1][x]}}

\long\def\@imakebox[#1][#2]#3{\hbox to#1{\let\mb@l\hss
\let\mb@r\hss \expandafter\let\csname mb@#2\endcsname\relax
\mb@l #3\mb@r}}

\def\@makepicbox(#1,#2){\leavevmode\@ifnextchar
   [{\@imakepicbox(#1,#2)}{\@imakepicbox(#1,#2)[]}}

\long\def\@imakepicbox(#1,#2)[#3]#4{\vbox to#2\unitlength
   {\let\mb@b\vss \let\mb@l\hss\let\mb@r\hss
    \let\mb@t\vss
    \@tfor\@tempa :=#3\do{\expandafter\let
        \csname mb@\@tempa\endcsname\relax}%
\mb@t\hbox to #1\unitlength{\mb@l #4\mb@r}\mb@b}}

\def\newsavebox#1{\@ifdefinable#1{\newbox#1}}

\def\savebox#1{\@ifnextchar ({\@savepicbox#1}{\@ifnextchar
     [{\@savebox#1}{\sbox#1}}}

\def\sbox#1#2{\setbox#1\hbox{#2}}

\def\@savebox#1[#2]{\@ifnextchar [{\@isavebox#1[#2]}{\@isavebox#1[#2][x]}}

\long\def\@isavebox#1[#2][#3]#4{\setbox#1 \hbox{\@imakebox[#2][#3]{#4}}}

\def\@savepicbox#1(#2,#3){\@ifnextchar
   [{\@isavepicbox#1(#2,#3)}{\@isavepicbox#1(#2,#3)[]}}

\long\def\@isavepicbox#1(#2,#3)[#4]#5{\setbox#1 \hbox{\@imakepicbox
     (#2,#3)[#4]{#5}}}
\long\def\frame#1{\leavevmode
    \hbox{\hskip-\@wholewidth
     \vbox{\vskip-\@wholewidth
            \hrule \@height\@wholewidth
          \hbox{\vrule \@width\@wholewidth #1\vrule \@width\@wholewidth}\hrule
           \@height \@wholewidth\vskip -\@halfwidth}\hskip-\@wholewidth}}

\newdimen\fboxrule
\newdimen\fboxsep

\long\def\fbox#1{\leavevmode\setbox\@tempboxa\hbox{#1}\@tempdima\fboxrule
    \advance\@tempdima \fboxsep \advance\@tempdima \dp\@tempboxa
   \hbox{\lower \@tempdima\hbox
  {\vbox{\hrule \@height \fboxrule
          \hbox{\vrule \@width \fboxrule \hskip\fboxsep
          \vbox{\vskip\fboxsep \box\@tempboxa\vskip\fboxsep}\hskip
                 \fboxsep\vrule \@width \fboxrule}
                 \hrule \@height \fboxrule}}}}

\def\framebox{\@ifnextchar ({\@framepicbox}{\@ifnextchar
     [{\@framebox}{\fbox}}}

\def\@framebox[#1]{\@ifnextchar [{\@iframebox[#1]}{\@iframebox[#1][x]}}

\long\def\@iframebox[#1][#2]#3{\leavevmode
  \savebox\@tempboxa[#1][#2]{\kern\fboxsep #3\kern\fboxsep}\@tempdima\fboxrule
    \advance\@tempdima \fboxsep \advance\@tempdima \dp\@tempboxa
   \hbox{\lower \@tempdima\hbox
  {\vbox{\hrule \@height \fboxrule
          \hbox{\vrule \@width \fboxrule \hskip-\fboxrule
              \vbox{\vskip\fboxsep \box\@tempboxa\vskip\fboxsep}\hskip
                  -\fboxrule\vrule \@width \fboxrule}
                  \hrule \@height \fboxrule}}}}

\def\@framepicbox(#1,#2){\@ifnextchar
   [{\@iframepicbox(#1,#2)}{\@iframepicbox(#1,#2)[]}}

\long\def\@iframepicbox(#1,#2)[#3]#4{\frame{\@imakepicbox(#1,#2)[#3]{#4}}}

\def\parbox{\@ifnextchar [{\@iparbox}{\@iparbox[c]}}

\long\def\@iparbox[#1]#2#3{\leavevmode \@pboxswfalse
   \if #1b\vbox
     \else \if #1t\vtop
              \else \ifmmode \vcenter
                        \else \@pboxswtrue $\vcenter
                     \fi
           \fi
    \fi{\hsize #2\@parboxrestore #3}\if@pboxsw $\fi}

\catcode`\@=13

\def\Boxum#1{\raise-1.5pt\hbox{\framebox(10,12){#1}}}
\def\DBoxum#1{\raise-2.5pt\hbox{\framebox(8,10){\framebox(6,8){$#1$}}}}
\def\Kreisum#1{\kern1pt#1\kern-3.5pt\raise3pt\hbox{\circle{12}}\kern-5pt}
\def\DKreisum#1{\kern3pt#1\kern-2.5pt\raise3pt\hbox{\circle{11}\kern-11pt
   \circle8}\kern-4pt}
\def\Ferrers{\PfadDicke{.3pt}
\Pfad(0,0),22222222\endPfad
\Pfad(2,0),22222222\endPfad
\Pfad(4,0),22222222\endPfad
\Pfad(6,0),22222222\endPfad
\Pfad(0,8),111111\endPfad
\Pfad(0,6),111111\endPfad
\Pfad(0,4),111111\endPfad
\Pfad(0,2),111111\endPfad
\Pfad(0,0),111111\endPfad }
\def\Eintr#1(#2,#3){\Label\o{\raise-8pt\hbox{#1}}(#2,#3)}
\def\Zeilea#1#2#3{
\Eintr{#1}(1,6)
\Eintr{#2}(3,6)
\Eintr{#3}(5,6)
}
\def\Zeileb#1#2#3{
\Eintr{#1}(1,4)
\Eintr{#2}(3,4)
\Eintr{#3}(5,4)
}
\def\Zeilec#1#2#3{
\Eintr{#1}(1,2)
\Eintr{#2}(3,2)
\Eintr{#3}(5,2)
}
\def\Zeiled#1#2#3{
\Eintr{#1}(1,0)
\Eintr{#2}(3,0)
\Eintr{#3}(5,0)
}
\def\Tableau#1/#2/#3/#4/{
\PfadDicke{.3pt}
\Zeilea#1
\Zeileb#2
\Zeilec#3
\Zeiled#4
\hbox{\hskip2cm}
}

\NoBlackBoxes
\Einheit.3cm
$$
\smatrix \format \l\\
%1. Zeile
\Ferrers
\Tableau
{\Kreisum1}50/
{--1}12/
015/
{--2}26/
\quad\quad
\Ferrers
\Tableau
000/
000/
000/
000/
\\
%2. Zeile, 1. Spalte 
\hskip46pt
\\\\\hlinefor1\\\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%3. Zeile
\Ferrers
\PfadDicke{1pt}
\Pfad(0,6),1122\endPfad
\Tableau
{\Boxum1}50/
{\Kreisum{--1}}12/
015/
{--2}26/
\quad\quad
\Ferrers
\Tableau
000/
000/
000/
000/
\\
%4. Zeile, 1. Spalte 
\Ferrers
\DickPunkt(1,7)
\\\\\hlinefor1\\\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%5. Zeile
\Ferrers
\PfadDicke{1pt}
\Pfad(0,4),112222\endPfad
\Tableau
150/
{\Boxum{--1}}12/
{\Kreisum0}15/
{--2}26/
\quad\quad
\Ferrers
\Tableau
000/
000/
000/
000/
\\
%6. Zeile, 1. Spalte 
\Ferrers
\DickPunkt(1,5)
\DickPunkt(1,7)
\Pfad(1,5),22\endPfad
\hskip46pt
\\\hlinefor1\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\endsmatrix
$$

\newpage
$$
\smatrix \format \l\s\l\\
%7. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Pfad(0,2),11222222\endPfad
\Tableau
150/
{\Boxum{--1}}12/
{--1}15/
{\Kreisum{--2}}26/
\quad\quad
\Ferrers
\Tableau
000/
000/
100/
000/
\\\\
%8. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\DickPunkt(1,5)
\DickPunkt(1,7)
\Kreis(1,3)
\Pfad(1,3),2222\endPfad
\hskip46pt
\\\\\hlinefor1\\\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%9. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Pfad(0,0),1122222222\endPfad
\Tableau
1{\Kreisum5}0/
{--1}12/
{--1}15/
{\Boxum{--2}}26/
\quad\quad
\Ferrers
\Tableau
000/
000/
100/
000/
\\\\
%10. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\PfadDicke{1pt}
\DickPunkt(1,1)
\DickPunkt(1,5)
\DickPunkt(1,7)
\Pfad(1,1),222222\endPfad
\hskip46pt 
\\\\\hlinefor1\\\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%11. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Pfad(0,0),112222221122\endPfad
\Tableau
{\Boxum5}20/
{--1}{\Kreisum1}2/
{--1}15/
{--2}26/
\quad\quad
\Ferrers
\Tableau
0{--1}0/
000/
100/
000/
\\\\
%12. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\DickPunkt(1,7)
\Kreis(3,7)
\Pfad(1,7),11\endPfad
\hskip46pt 
%\\\\\hlinefor1\\\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\endsmatrix
$$

\newpage
$$
\smatrix \format \l\s\l\\
%13. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Pfad(0,0),112222112222\endPfad
\Tableau
520/
{\Boxum1}02/
{--1}{\Kreisum1}5/
{--2}26/
\quad\quad
\Ferrers
\Tableau
0{--1}0/
0{--1}0/
100/
000/
\\\\
%14. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\DickPunkt(1,7)
\DickPunkt(1,5)
\Kreis(3,5)
\Pfad(1,7),11\endPfad
\Pfad(1,5),1122\endPfad
\hskip46pt 
\\\\\hlinefor1\\\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%15. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Pfad(0,0),112211222222\endPfad
\Tableau
520/
102/
{\Boxum1}05/
{--2}{\Kreisum2}6/
\quad\quad
\Ferrers
\Tableau
0{--1}0/
0{--1}0/
1{--1}0/
000/
\\\\
%16. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Kreis(3,3)
\Pfad(1,7),11\endPfad
\Pfad(1,3),11\endPfad
\DickPunkt(1,7)
\DickPunkt(1,5)
\DickPunkt(1,3)
\Pfad(1,3),22\endPfad
\Pfad(3,3),2222\endPfad
\\\\\hlinefor1\\\\
%17. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Pfad(0,0),111122222222\endPfad
\Tableau
52{\Kreisum0}/
102/
{\Boxum1}05/
1{--1}6/
\quad\quad
\Ferrers
\Tableau
0{--1}0/
0{--1}0/
1{--1}0/
000/
\\\\
%18. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Kreis(3,1)
\Pfad(1,1),11\endPfad
\Pfad(1,7),11\endPfad
\DickPunkt(1,7)
\DickPunkt(1,5)
\DickPunkt(1,3)
\DickPunkt(3,1)
\Pfad(1,1),2222\endPfad
\Pfad(3,1),222222\endPfad
\hskip46pt 
\endsmatrix
$$

\newpage
$$
\smatrix \format \l\s\l\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%19. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Pfad(0,0),11112222221122\endPfad
\Tableau
52{\Boxum0}/
10{\Kreisum2}/
105/
1{--1}6/
\quad\quad
\Ferrers
\Tableau
0{--1}0/
0{--1}0/
1{--1}0/
000/
\\\\
%20. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Kreis(5,7)
\DickPunkt(5,7)
\hskip46pt 
\\\\\hlinefor1\\\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%21. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Pfad(0,0),11112222112222\endPfad
\Tableau
52{\Boxum1}/
100/
10{\Kreisum5}/
1{--1}6/
\quad\quad
\Ferrers
\Tableau
0{--1}0/
0{--1}1/
1{--1}0/
000/
\\\\
%22. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Kreis(5,5)
\DickPunkt(5,7)
\Pfad(5,5),22\endPfad
\hskip46pt 
\\\\\hlinefor1\\\\
%23. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Pfad(0,0),11112211222222\endPfad
\Tableau
521/
{\Boxum4}21/
100/
1{--1}{\Kreisum6}/
\quad\quad
\Ferrers
\Tableau
0{--1}0/
0{--1}{--2}/
1{--1}2/
000/
\\\\
%24. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Kreis(5,3)
\DickPunkt(1,5)
\Pfad(5,3),2222\endPfad
\Pfad(1,5),1111\endPfad
\DickPunkt(5,7)
\hskip46pt 
\endsmatrix
$$

\newpage
$$
\smatrix \format \l\s\l\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%25. Zeile, 1. Spalte
\PfadDicke{1pt}
\Pfad(0,0),11111122222222\endPfad
\Ferrers
\Tableau
521/
{\Boxum4}21/
420/
100/
\quad\quad
\Ferrers
\Tableau
0{--1}0/
0{--1}{--2}/
1{--1}{--1}/
003/
\\\\
%26. Zeile, 1. Spalte
\Ferrers
\PfadDicke{1pt}
\Kreis(5,1)
\DickPunkt(1,5)
\DickPunkt(3,3)
\Pfad(5,1),222222\endPfad
\Pfad(1,3),22\endPfad
\Pfad(1,3),11\endPfad
\Pfad(3,1),22\endPfad
\Pfad(3,1),11\endPfad
\DickPunkt(5,7)
\hskip46pt 
\\\\\hlinefor1\\\\
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%27. Zeile, 1. Spalte
\\\\
%28. Zeile, 1. Spalte
\hskip46pt
\endsmatrix
$$

\newpage




\enddocument
