/usr/share/vim/addons/UltiSnips/texmath.snippets is in vim-snippets 1.0.0-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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##############
# MATH STUFF #
##############
snippet eq "Equation" b
\begin{equation}
$0
\end{equation}
endsnippet
snippet eqnn "Equation without number" b
\begin{equation*}
$0
\end{equation*}
endsnippet
snippet eqa "Equation array" b
\begin{eqnarray}
$1 & $2 & $0
\end{eqnarray}
endsnippet
snippet eqann "Equation array without numbers" b
\begin{eqnarray*}
$1 & $2 & $0
\end{eqnarray*}
endsnippet
snippet frac "Fraction" w
\frac{${1:${VISUAL:nom}}}{${2:denom}}
endsnippet
snippet mat "Smart Matrix"
\begin{${1:p/b/v/V/B/small}matrix}
$0
\end{$1matrix}
endsnippet
snippet lr( "left( right)" w
\left( ${1:${VISUAL}} \right)
endsnippet
snippet lr| "left| right|" w
\left| ${1:${VISUAL}} \right|
endsnippet
snippet lr{ "left\{ right\}" w
\left\\{ ${1:${VISUAL}} \right\\}
endsnippet
snippet lr[ "left[ right]" w
\left[ ${1:${VISUAL}} \right]
endsnippet
# vim:ft=snippets:
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