 The representations of the cubic harmonics often have a high symmetry and multiplicity so operations like integrations can be reduced to a limited, or irreducible, part of the domain of the function that has to be evaluated.A problem with the 48-fold octahedral Oh symmetry can be calculated much faster if one limits a calculation, like an integration, to the irreducible part of the domain of the function.The s-orbitals only have a radial part.