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example_mayss.tex
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example_mayss.tex
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\documentclass{article}
\usepackage{fullpage}
\usepackage{sseqpages}
\begin{document}
\sseqnewgroup\tower[1]{
\class["#1"](0,0)
\foreach\i in {1,...,14}{
\class(0,\i)
\structline(0,\i-1,-1)(0,\i,-1)
}
}
\sseqnewgroup\hone[1]{
\foreach\i in {1,...,#1}{
\class(\i,\i)
\structline(\i-1,\i-1,-1)(\i,\i,-1)
}
}
\def\dtower#1(#2){
\foreach\i in {0,...,10}{
\d[yshift=\i]#1(#2)
}
}
\def\single(#1)#2{\class["#2"](#1)}
\sseqnewgroup\htwo[1]{
\foreach \n in {0,...,5}{
\ifx&
\tower(3*\n,\n){h_2^{\n}}
\else
\tower(3*\n,\n){#1h_2^{\n}}
\fi
\ifnum\n>0\relax
\structline(3*\n-3,\n-1,-1)(3*\n,\n,-1)
\fi
}
}
\sseqnewgroup\htwosinglejoin[2]{
\foreach \n in {0,...,5}{
\ifx&
\single(3*\n,\n){h_2^{\n}}
\else
\single(3*\n,\n){#1h_2^{\n}}
\fi
\ifnum\n>0\relax
\structline(3*\n-3,\n-1,-1)(3*\n,\n,-1)
\fi
}
\foreach \n in {0,...,#2}{
\structline(3*\n,\n,-1)(3*\n,\n+1,-1)
}
}
\begin{sseqdata}[name=may, degree={-1}{1-#1},x range={0}{13}, y range={0}{13},class labels=below right,differentials=blue,x axis extend end=23pt,draw]
\tower(7,1){h_3}
\htwo(0,0){}
\classoptions[label position=above left](9,3)
\hone(0,0){3}
\htwo[label position={xshift=3pt,yshift=2pt}](4,4){b_{2,0}}
\dtower2(4,4,-1,-1) % d2(b_{2,0}h_0^n) = h_2h_0^{n+2}
\d2(4,4,-1,1) % d2(b_{2,0})= h_2h0^2 + h1^3
%\hone(4,4){3}
\htwo(8,8){b_{2,0}^2}
\hone(8,8){3}
\dtower4(8,8,,1) % d4(b_{2,0}^2) = h3 h0^4
%\hone(8,8){3}
\hone(7,1){2}
\htwosinglejoin(7,4){x_7}{4}
\dtower2(7,4,2,-1)
\hone(7,4){2}
\htwosinglejoin(11,8){x_7b_{2,0}}{4}
\htwosinglejoin(10,4){b_{2,1}}{3}
%\hone(10,4){1}
\d2(10,4,-1,2) % d2(b21)=h2^3+h3h1^2
\dtower2(10,4,1,1) % d2(b21 h0^n) = h2^3 h0^n
\tower(11,5){h_3b_{2,0}}
\tower(12,6){b_{3,0}}
\dtower2(12,6,-1,-1)
\htwo(12,12){b_{2,0}^3}
\dtower2(12,12,-1,1) % d2(b20^3 h_0^n) = h0^n b20^2 d2(b20) = h0^{n+2} h2 b20^2
\d2(12,12,-1,2) % d2(b_{2,0}^3)= b20^2 d2(b20) = h_2 h0^2 b20^2 + h1^3 b20^2
\hone(12,12){3}
\replaceclass(11,11)
\structline(11,10)(11,11)
\structline(10,10,2)(11,11)
\replaceclass(3,3)
\structline(2,2)(3,3)
\structline(3,2)(3,3)
\replaceclass(9,3)
\structline(6,2)(9,3)
\structline(8,2)(9,3)
%\dtower2(12,6,2,-1)
\end{sseqdata}
\printpage[name=may]
\newpage
\printpage[name=may, page=4]
\newpage
\printpage[name=may, page=5]
\end{document}