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.

Algebra Polynomials
Diophantus Diophantus
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  • Alessandro Iraci Alessandro Iraci

    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. https://www.quora.com/What-is-known-about-the-polynomial-of-which-the-Monster-group-is-the-Galois-group

  • Nirenberg Nirenberg

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

  • Persimmonl Persimmonl

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

  • Diophantus Diophantus

    @Alessandro Iraci yes but I want an explicit polynomial