\newcommand{\G}{\mathbf{G}}
\newcommand{\A}{\mathbf{A}}
\newcommand{\F}{\mathbf{F}}
\newcommand{\T}{\mathbf{T}}
\newcommand{\Q}{\mathbf{Q}}
\newcommand{\Z}{\mathbf{Z}}
\newcommand{\R}{\mathbf{R}}
\newcommand{\FF}{\mathbf{F}}
\renewcommand{\AA}{\mathbf{A}}
\newcommand{\GG}{\mathbf{G}}
\newcommand{\TT}{\T}
\newcommand{\QQ}{\Q}
\newcommand{\CC}{\mathbf{C}}
\newcommand{\sS}{\mathbf{S}}
\newcommand{\sM}{\mathbf{M}}
\newcommand{\ZZ}{\Z}
\newcommand{\RR}{\R}
\newcommand{\PP}{\mathbf{P}}
\newcommand{\Qp}{\mathbf{Q}_p}
\newcommand{\Zp}{\mathbf{Z}_p}
\newcommand{\Zpx}{\mathbf{Z}_p^{\times}}
\newcommand{\Zpn}{\mathbf{Z} / p^n \mathbf{Z}}
\newcommand{\OK}{\mathcal{O}_K}
% Use the following commands in text mode, not math mode.  They are
% written so as to convert well to html.
\newcommand{\newbf}[1]{\latexhtml{$\mathbf{#1}$}{\textbf{#1}}\xspace}
\newcommand{\QQQ}{\newbf{Q}}
\newcommand{\RRR}{\newbf{R}}
\newcommand{\ZZZ}{\newbf{Z}}
\newcommand{\minusone}{\latexhtml{$-1$}{\begin{rawhtml}–1\end{rawhtml}}}



\newcommand{\eps}{\varepsilon}
\newcommand{\con}{\equiv}
\newcommand{\nothing}[1]{}


% Thanks to Joe Wetherell for pointing out that one should use xspace.
\usepackage{xspace}  % to allow for text macros that don't eat space 

% This allows use of various commands which affect the behavior of
% latex2html.  For example, \latexhtml{arg 1}{arg 2} typesets 'arg 1'
% when processed by latex (or pdflatex, etc.), and typesets 'arg 2'
% when run through latex2html.  See the command \newbf above for an
% application of this.  See the latex2html docs for more information.
\usepackage{html}

\newcommand{\by}[1]{\par\noindent{\bf AUTHOR:} #1\par}


%\def\SAGE{{\tt SAGE}\,\, }
%\def\SAGE{SAGE\xspace}

%\newcommand{\SAGE}{{\fontsize{10}{12}\usefont{OT1}{phv}{c}{n}\selectfont{SAGE}\normalfont}\xspace}
%\newcommand{\SAGE}{{\usefont{OT1}{phv}{c}{n}\selectfont{SAGE}\normalfont}\xspace}

% Computer Algebra Systems

\newcommand{\Latex}{\LaTeX\xspace} 

\newcommand{\sage}{\SAGE}
\newcommand{\SAGE}{{\sf Sage}\xspace}

\newcommand{\Singular}{\textsc{Singular}\xspace}
\newcommand{\SINGULAR}{\Singular}

\newcommand{\PolyBoRi}{\textsc{PolyBoRi}\xspace}
\newcommand{\POLYBORI}{\PolyBoRi}

\newcommand{\MAGMA}{{\sf MAGMA}\xspace}
\newcommand{\Magma}{\MAGMA}

\newcommand{\GAP}{{\sf GAP}\xspace}
\newcommand{\PARI}{{\sf PARI}\xspace}

\newcommand{\MAXIMA}{{\sf Maxima}\xspace}
\newcommand{\Maxima}{{\sf Maxima}\xspace}

% ---- SHA ----
\DeclareFontEncoding{OT2}{}{} % to enable usage of cyrillic fonts
  \newcommand{\textcyr}[1]{%
    {\fontencoding{OT2}\fontfamily{wncyr}\fontseries{m}\fontshape{n}%
     \selectfont #1}}
\newcommand{\Sha}{{\mbox{\textcyr{Sh}}}}

\usepackage{amsmath}
\DeclareMathOperator{\acos}{acos}
\DeclareMathOperator{\asin}{asin}
\DeclareMathOperator{\atan}{atan}
\DeclareMathOperator{\acosh}{acosh}
\DeclareMathOperator{\asinh}{asinh}
\DeclareMathOperator{\atanh}{atanh}
\DeclareMathOperator{\Gal}{Gal}
\DeclareMathOperator{\Pic}{Pic}
\DeclareMathOperator{\SL}{SL}
\DeclareMathOperator{\Sym}{Sym}
\DeclareMathOperator{\Spec}{Spec}
\DeclareMathOperator{\Nr}{Nr}
\DeclareMathOperator{\Tr}{Tr}
\DeclareMathOperator{\GF}{GF}
\DeclareMathOperator{\End}{End}
\DeclareMathOperator{\Hom}{Hom}

\newcommand{\algorithm}[1]{ALGORITHM: #1}
%\renewcommand{\comment}[1]{}

\addtolength{\headheight}{2.5pt} % need to add extra space for pdfdest in header 
% We override a couple of definitions from python.sty to fix up some 
% minor spacing issues:
\makeatletter
\renewcommand{\py@itemnewline}[1]{%
  \@tempdima\linewidth%
  \advance\@tempdima \leftmargin\makebox[\@tempdima][l]{\hskip\labelsep#1}%
}

\renewenvironment{fulllineitems}{
  \begin{list}{}{\labelwidth \leftmargin % \labelsep 0pt
                 \rightmargin 0pt \topsep -\parskip \partopsep \parskip
                 \itemsep -\parsep
                 \let\makelabel=\py@itemnewline}
}{\end{list}}
\makeatother