<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%%
%% Description: Adams Novikov Spectral Sequence for $S_2$

\documentclass[tooltips]{spectralsequence-example}

% figure out how to get width("\noexpand\small 16") working
\sseqset{ppower/.sseq style={
    rectangle,"#1" {inside, font=\tiny},
    minimum height=width("16"),
    minimum width=width("16")
}}
\sseqnewfamily{imJ}
\begin{document}

\NewSseqCommand\etaclass{O{}d()}{
    \IfNoValueF{#2}{\pushstack(#2)}
    \class[#1](\lastx+1,\lasty+1)
    \structline(\lastclass1)(\lastclass)
}

\NewSseqCommand\divetaclass{O{}d()}{
    \IfNoValueF{#2}{\pushstack(#2)}
    \class[#1](\lastx-1,\lasty-1)
    \structline(\lastclass1)(\lastclass)
}

\NewSseqCommand\nuclass{O{}d()}{
    \IfNoValueF{#2}{\pushstack(#2)}
    \class[#1](\lastx+3,\lasty+1)
    \structline(\lastclass1)(\lastclass)
}

\NewSseqCommand\nustruct{d()}{
    \IfNoValueF{#1}{\pushstack(#1)}
    \structline(\lastx-3,\lasty-1,-1)(\lastclass)
}

\begin{sseqdata}[
    name=ANSS-S_2, Adams grading,
    class labels={below},
    %label distance=-1pt,
    below label distance=0pt,
    classes={tooltip={(\xcoord,\ycoord)}},
    class pattern = linear,
    class placement transform={rotate=90,scale=2},
    differentials=blue,
    x range={0}{40},
    y range={0}{10},
    xscale=0.7,
    yscale=1.7,
    grid=go,
    right clip padding=2em
]
\begin{scope}[imJ]
\class[rectangle,fill,inner sep=3pt](0,0)
\DoUntilOutOfBoundsThenNMore{3}{\etaclass}
\classoptions["\alpha_1" above left](1,1)

\class["\alpha_{2/2}",circlen=2](3,1)
\nustruct
\structline[dashed](3,1)(3,3)


\class["\alpha_3"](5,1)
\d3(\lastclass)
\DoUntilOutOfBounds{\etaclass\d3(\lastclass)}

\class["\alpha_{4/4}",ppower=16](7,1)
\DoUntilOutOfBoundsThenNMore{3}{\etaclass}

\class["\alpha_{5}"](9,1)
\DoUntilOutOfBoundsThenNMore{3}{\etaclass}

\class["\alpha_{6/3}", circlen=3](11,1)
\d3(\lastclass)
\DoUntilOutOfBounds{\etaclass\d3(\lastclass)}
\replaceclass["\alpha_{6/2}", circlen=2](11,1)
\structline[dashed](11,1)(11,3)

\class["\alpha_7"](13,1)
\d3(\lastclass)
\DoUntilOutOfBounds{\etaclass\d3(\lastclass)}


\class["\alpha_{8/5}",ppower=32](15,1)
\DoUntilOutOfBoundsThenNMore{3}{\etaclass}

\class["\alpha_9"](17,1)
\DoUntilOutOfBoundsThenNMore{3}{\etaclass}

\class["\alpha_{10/3}",circlen=3](19,1)
\d3(\lastclass)
\DoUntilOutOfBounds{\etaclass\d3(\lastclass)}
\replaceclass["\alpha_{10/2}",circlen=2](19,1)
\structline[dashed](19,1)(19,3)

\class["\alpha_{11}"](21,1)
\d3(\lastclass)
\DoUntilOutOfBounds{\etaclass\d3(\lastclass)}
\end{scope}

\class["\beta_{2/2}"](6,2)
\nustruct
\class["\beta_{2}" below](8,2)
\etaclass\structline(\lastclass)(6,2,2) % This is a *nu

\class["\beta_3" left,insert = 1](14,2)
\etaclass[insert=1](14,2,-1)
\divetaclass["\beta_{4/4}" left, insert = 2]
\nuclass(14,2,2)\nuclass[circlen=2]\nuclass[circlen=3]\nuclass["P\beta_{2/2}" above left]
\nuclass\divetaclass["P\beta_2"]


\class["\beta_{4/3}",insert=1](16,2)
\etaclass[insert=1]\etaclass[insert=1]
\class["\beta_{4/2,2}",circlen=2](18,2)
\structline[dashed,](18,2,-1)(18,4,-1)

\class["\eta_2"](19,3)
\etaclass

\class["\beta_{4}"below](20,2)
\structline[dashed,bend left=20](20,2,-1)(20,4,2)
%\structlineoptions[](20,2,-1)(20,4,2)%page=0--3
\etaclass\etaclass\structline(\lastclass)(\lastx+1,\lasty+1,-1)

\nuclass["\alpha_{4/4}^3" {above left=-1pt}](18,2,-1)



\class["\eta_{3/2}"](23,3)
\etaclass\etaclass

\class["\beta_5" below](26,2)
\d3(\lastclass,-1)

\class["\beta_{8/8}" ](30,2)
\etaclass
\class["\beta_{6/2}" left](30,2)
\d5(\lastclass)

\class["\gamma_3" left](31,3)
\nuclass
\class["\eta_{5/3}"](33,4)

\class["\beta_{8/7}"](32,2)
\etaclass\etaclass\etaclass\etaclass\etaclass\etaclass
\class["\beta_{6}"left](32,2)\etaclass

\class["x_{32}"](32,4)\etaclass\etaclass["P\beta_{4/4}" right]
\class["x_{36}"](36,4)
\nuclass(32,4,-1)\nuclass

\class["P\beta_3" above left](34,6)\etaclass\nuclass(34,6,-1)

\class["\beta_{8/6,2}",circlen=2](34,2)
\etaclass\nuclass(\lastclass1)

\class["\gamma_{4/2,2}" right](37,3)
\class["\beta_{8/4,2}",circlen=2](38,2)
\class["\beta_{7}" right](38,2)
\class["d_{4/4}\beta_{8/7}" right](39,3)
\class["x''_{39}" right](39,3)
\class["\gamma_{4,2}" right](39,3)
\class["x_{39}'"](39,5)
\class["P\eta_2"](39,7)
\end{sseqdata}

\printpage[name=ANSS-S_2]

\printpage[name=ANSS-S_2,page=5]

\printpage[name=ANSS-S_2, no imJ]
\end{document} </pre></body></html>