Ethene at 333–343 K and 6–7 atm pressure in the presence of \( \text{AlEt}_3 \) and \( \text{TiCl}_4 \) undergoes addition polymerization to give high-density polyethylene (HDPE), not low-density polyethylene (LDPE).
Caprolactam undergoes ring-opening polymerization in the presence of water at high temperatures (533–543 K) to form Nylon 6. This is an example of step-growth polymerization.
The reaction can be represented as
Thus, Statement II is true.
Statement I is false, but Statement II is true.

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.