There are two volumes of the published manga.
The Jump Square version of Senyū. differs from the webcomic on Niconico Douga, as well as the anime version. The manga is much more lighthearted than the other versions.It is rather loose on plot and focuses more on comedy. The main setting and character setting are also slightly different.
According to Haruhara, the manga takes place in a parallel world outside of the main storyline.