Construct a polynomial $f$ over $\mathbb{Q}$ such that the galois group of the splitting field of $f$ is the monster group

The problem is pretty self-explanatory in the title.

  • 5$ for an open problem? More seriously, it doesn't make a lot of sense to ask for an explicit polynomial. Check this for more info.

  • Erdos Erdos

    @ Alessandro: That's exactly what I was also thinking.

  • This website isn't here for people to post trivial homework questions ◔_◔

  • @Alessandro Iraci yes but I want an explicit polynomial

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