\omega _{o}.$This quantity is a measure of the Coulomb repulsion in the first-states, which is plotted in Fig.2 in accord with $L$. When $L$ increases, the size of the system will increase a little ,  the Coulomb repulsion will thereby decrease. Thus, $%
\varepsilon (L)$ decreases monotonously with $L$ as shown in the figure. However, there are four platforms. We shall return to this point later.

5, ELECTRONIC STRUCTURES $\left( 78\leq L\leq 90\right) $

In what follows mainly the results of the first-states are given. We use $a_{M}\equiv \sqrt{\frac{\hbar }{m^{\ast }\omega _{o}}}=$ 194.71$%
\stackrel{\circ }{A}$  as the unit of length. The optimal separation $%
r_{u}= $ 2.96$a_{M}$ .

Let us begin from the state with the filling factor $\nu =1$ , namely the (78)$_{1}$ state. This state has only one BF {0,1,2,$\cdot \cdot \cdot $12} (for short, {0-12}) belonging to the LLL, this BF has a weight85.5%. In this BF, the electrons are roughly uniformly distributed inside a circle as shown in Fig.3a.  It is noted that a clear geometric structure arises from the coherent mixing of BFs. Due to the lack of mixing, the (78)$%
_{1}$ can not have a clear geometric structure, therefore it is liquid-like as shown 