High-resolution data of the solar vector magnetogram can be used to examine the ways by which the magnetic fields in the solar atmosphere are built up and relaxed. In a relaxed state, the a parameter should have approached a constant value over an extended region, therefore yielding a sharply peaked distribution of \alpha\. In this report, we present, for the first time, the discovery of Fewer-law distributions for the \alpha\ parameter. This finding suggests the existence of nontrivial build-up and relaxation mechanisms for the magnetic energy in the solar atmosphere.