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Using Bergweiler and Eremenko's method of gluing two certain meromorphicfunctions along the real axis, we show that, for a dense set of orders$\rho\in[1,\infty)$, there exists a Bank--Laine function $E$ such that$\lambda(E)=\rho(E)=\rho$ and $E=w_1w_2$ with $w_1$ and $w_2$ being two entirefunctions satisfying $c_1r^{\rho}\leq n(r,0,w_i)\leq c_2r^{\rho}$, $i=1,2$,where $c_1$ and $c_2$ are two positive constants. This supplies the Bank--Lainefunctions $E$ constructed recently by the present author such that the numberof the zeros of $E$ has growth behavior $d_1(\log r)^2r^{\lambda}\leqn(r,0,E)\leq d_2(\log r)^2r^{\lambda}$, where $d_1$ and $d_2$ are two positiveconstants.

A note on the zeros of finite order Bank--Laine functions