I am typing out short exact sequences and want to use \rightarrowtail and \twoheadrightarrow, but they have symbols above them so they need to be a lot longer, like \longrightarrow. Yet there does not seem to be quick and easy way to do this. How can I make these kinds of arrows longer? Here is what I currently have, with the output below.
\usepackage{amsmath}
\usepackage{amssymb}
\begin{document}
$$K\overset{\alpha}{\rightarrowtail}M\overset{\beta}{\twoheadrightarrow}N$$
\end{document}

