Patterns in Magnetic Moment of particles

TODO: expand this out.

Bohr ratio Magnetic moment of muon: -4.84197044e-3
Bohr ratio Magnetic moment of electron -1.0011596521869
>>> x = -1.0011596521869 / -4.84197044e-3
>>> x
206.766989719
>>> x/math.pi/math.pi/math.pi*3/20.
1.0002829032857001

Ratio of magnetic moment of electron to muon is pi-cubed times 20 divided by 3
to within 0.03%