# Can the poles of a magnet have varying intensity?

In re-reading Is it possible to separate the poles of a magnet? (amongst others) the question mentioned in the title here just occurred to me.

It may not be possible, at our current levels of technology & science, to expect/create a monopole.

Can a magnet, instead, be asymmetric?

i.e. Could the poles of a magnet have varying intensity? If yes, would such asymmetry be preliminary evidence that a pragmatic monopole (one pole very weak compared to the other) may exist?

Electric charges can also have different densities $\rho_+(\vec{x})\ne\rho_-(\vec{x})\;$ and create an asymmetric electric field, so what?