$$\newcommand{AA}[0]{\mathscr{A}}
\newcommand{abs}[1]{\left\lvert#1\right\rvert}
\newcommand{Arg}[0]{\operatorname{Arg}}
\newcommand{BB}[0]{\mathscr{B}}
\newcommand{C}[0]{\mathbb{C}}
\newcommand{CC}[0]{\mathscr{C}}
\newcommand{F}[0]{\mathbb{F}}
\newcommand{floor}[1]{\left\lfloor#1\right\rfloor}
\newcommand{ind}[0]{\mathrm{ind}}
\newcommand{mmod}[1]{\ \left(\mathrm{mod}\ #1\right)}
\newcommand{Mod}[1]{\ \left(\mathrm{mod}\ #1\right)}
\newcommand{N}[0]{\mathbb{N}}
\newcommand{ord}[0]{\mathrm{ord}}
\newcommand{Q}[0]{\mathbb{Q}}
\newcommand{R}[0]{\mathbb{R}}
\newcommand{rank}[0]{\mathrm{rank}}
\newcommand{SS}[0]{\mathscr{S}}
\newcommand{TT}[0]{\mathscr{T}}
\newcommand{UU}[0]{\mathscr{U}}
\newcommand{wenvert}[1]{\left\lvert\left\lvert#1\right\rvert\right\rvert}
\newcommand{Z}[0]{\mathbb{Z}}
$$