Before revision:  Furthermore, we show when f's image is distributed (semi)symmetrically on }{\cal  {\rm  })}(}{\cal   = o(v _{\pi} ), and we identify two cases to demonstrate it.
After revision:  Furthermore, we show when f's image is distributed (semi)symmetrically on }{\cal 's traces, we have{\rm })}(}{\cal = o(v _{\pi} ), and we identify two cases to demonstrate it.