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entering extended mode
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Babel <3.9l> and hyphenation patterns for 2 languages loaded.
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l.28 \begin{document}
                     

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l.30 \begin{multicols}
                      {3}
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<recently read> \mathbb 
                        
l.38 ...teger ring & \texttt{Zmod}($m$) & $\mathbb
                                                  {Z}/m\mathbb{Z}$ \\
! Undefined control sequence.
l.38 ... \texttt{Zmod}($m$) & $\mathbb{Z}/m\mathbb
                                                  {Z}$ \\
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<recently read> \mathbb 
                        
l.46 CyclotomicField(\textit{n}) & $\mathbb
                                           {Q}(\zeta_n)$\\
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<recently read> \mathbb 
                        
l.48 QuadraticField(d) & $\mathbb
                                 {Q}(\sqrt{d})$\\
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l.51 K.degree() & $[K : \mathbb
                               {Q}]$\\

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l.61 ...ace(\textit{ring},\textit{dim}) & $\mathbb
                                                  {A}^n$\\
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l.62 ...ace(\textit{ring},\textit{dim}) & $\mathbb
                                                  {P}^n$\\
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l.63 ...b{P}^n \times \cdots \times \mathbb{P}^m$}
                                                  \\
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\@sharp ...hbb {P}^n \times \cdots \times \mathbb 
                                                  {P}^m$
l.63 ...b{P}^n \times \cdots \times \mathbb{P}^m$}
                                                  \\
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l.68 S.affine\us patch($i$,[$\mathbb
                                    {A}$]) & ---\\
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l.77 S.projective\us embedding([$i$,$\mathbb
                                            {P}$]) & ---\\
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l.78 S.projective\us closure([$i$,$\mathbb
                                          {P}$])& --- \\

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l.120 f.critical\us height() & $\sum_{c \in \text
                                                 {Crit}} \hat{h}_f(c)$\\
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l.134 f.critical\us height() & $\sum_{c \in \text
                                                 {Crit}} \hat{h}_f(c)$\\
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l.142 ...tnormal{\tiny{\framebox{$\mathbb{F}_q$}}}
                                                  & digraph \\
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l.143 ...tnormal{\tiny{\framebox{$\mathbb{F}_q$}}}
                                                  & [tail,per]\\
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l.161 f.autmorphism\us group() & $\text
                                       {Hom}(f,f)$\\
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l.167 f.conjugating\us set($g$) & $\text
                                        {Hom}(f,g)$\\
[3]
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l.219   \hfill $\{\lambda_f(Q) : Q \in \text
                                            {Per}_n\}$ \\
! Undefined control sequence.
l.221 ...ll$\{\sigma_i(\lambda_f(Q)) : Q \in \text
                                                  {Per}_n\}$

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l.250 copy(\text
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l.251 latex(\text
                 {obj}) & ---\\
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l.325 S.projective\us closure([$\mathbb
                                       {P}$]) & --- \\
[6] (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd)
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                $
l.353 \footnotesize{Copyright \copyright \;
                                            2017 B. Hutz, J. Silverman
! Extra }, or forgotten $.
l.356 ...osting us while version 1.0 was written.}
                                                  

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l.357 \end{multicols}
                     
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                $
l.357 \end{multicols}
                     
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                }
l.357 \end{multicols}
                     

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\OT1/cmr/m/n/10 Copyright []$ 2017\OML/cmm/m/it/10 B:Hutz; J:Silvermanv\OT1/cmr
/m/n/10 3\OML/cmm/m/it/10 :\OT1/cmr/m/n/10 0\OML/cmm/m/it/10 :Permissionisgrant
edfornoncommercialdistributionprovidedthecopyrightnoticeandthispermissionnotice
arepreservedonallcopies:ThankstoICERMforhostinguswhileversion\OT1/cmr/m/n/10 1\
OML/cmm/m/it/10 :\OT1/cmr/m/n/10 0\OML/cmm/m/it/10 waswritten:$ 
[7] (./latex_15a0357ae3381a3c14ae749e88d11894f2bfdba2_p.aux) )
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### semi simple group (level 1) entered at line 28 (\begingroup)
### bottom level
(see the transcript file for additional information)
Output written on latex_15a0357ae3381a3c14ae749e88d11894f2bfdba2_p.dvi (7 pages
, 14436 bytes).
Transcript written on latex_15a0357ae3381a3c14ae749e88d11894f2bfdba2_p.log.

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