If the magnetic field intensity \( H \) in a conducting region is given by the expression,
\[
H = x^2 \hat{i} + x^2 y^2 \hat{j} + x^2 y^2 z^2 \hat{k} \, \text{A/m.}
\]
The magnitude of the current density, in A/m\(^2\), at \( x = 1 \, m \), \( y = 2 \, m \), and \( z = 1 \, m \), is