/usr/share/vim/addons/UltiSnips/tex.snippets is in vim-snippets 1.0.0-3.
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extends texmath
snippet "b(egin)?" "begin{} / end{}" br
\begin{${1:something}}
${0:${VISUAL}}
\end{$1}
endsnippet
snippet tab "tabular / array environment" b
\begin{${1:t}${1/(t)$|(a)$|(.*)/(?1:abular)(?2:rray)/}}{${2:c}}
$0${2/((?<=.)c|l|r)|./(?1: & )/g}
\end{$1${1/(t)$|(a)$|(.*)/(?1:abular)(?2:rray)/}}
endsnippet
snippet fig "Figure environment" b
\begin{figure}${2:[htpb]}
\centering
\includegraphics[width=${3:0.8}\linewidth]{${4:name.ext}}
\caption{${4/(\w+)\.\w+/\u$1/}$0}
\label{fig:${4/(\w+)\.\w+/$1/}}
\end{figure}
endsnippet
snippet enum "Enumerate" b
\begin{enumerate}
\item $0
\end{enumerate}
endsnippet
snippet item "Itemize" b
\begin{itemize}
\item $0
\end{itemize}
endsnippet
snippet desc "Description" b
\begin{description}
\item[$1] $0
\end{description}
endsnippet
snippet it "Individual item" b
\item ${1}
$0
endsnippet
snippet part "Part" b
\part{${1:part name}}
\label{prt:${2:${1/(\w+)|\W+/(?1:\L$0\E:_)/ga}}}
${0}
endsnippet
snippet cha "Chapter" b
\chapter{${1:chapter name}}
\label{cha:${2:${1/\\\w+\{(.*?)\}|\\(.)|(\w+)|([^\w\\]+)/(?4:_:\L$1$2$3\E)/ga}}}
${0}
endsnippet
snippet sec "Section" b
\section{${1:section name}}
\label{sec:${2:${1/\\\w+\{(.*?)\}|\\(.)|(\w+)|([^\w\\]+)/(?4:_:\L$1$2$3\E)/ga}}}
${0}
endsnippet
snippet sub "Subsection" b
\subsection{${1:subsection name}}
\label{sub:${2:${1/\\\w+\{(.*?)\}|\\(.)|(\w+)|([^\w\\]+)/(?4:_:\L$1$2$3\E)/ga}}}
${0}
endsnippet
snippet ssub "Subsubsection" b
\subsubsection{${1:subsubsection name}}
\label{ssub:${2:${1/\\\w+\{(.*?)\}|\\(.)|(\w+)|([^\w\\]+)/(?4:_:\L$1$2$3\E)/ga}}}
${0}
endsnippet
snippet par "Paragraph" b
\paragraph{${1:paragraph name}}
\label{par:${2:${1/\\\w+\{(.*?)\}|\\(.)|(\w+)|([^\w\\]+)/(?4:_:\L$1$2$3\E)/ga}}}
${0}
endsnippet
snippet subp "Subparagraph" b
\subparagraph{${1:subparagraph name}}
\label{par:${2:${1/\\\w+\{(.*?)\}|\\(.)|(\w+)|([^\w\\]+)/(?4:_:\L$1$2$3\E)/ga}}}
${0}
endsnippet
snippet ni "Non-indented paragraph" b
\noindent
${0}
endsnippet
snippet pac "Package" b
\usepackage[${1:options}]{${2:package}}$0
endsnippet
snippet lp "Long parenthesis"
\left(${1:${VISUAL:contents}}\right)$0
endsnippet
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