Solution (source code)

= Solution

<Magnetic pressure> is the field <energy density> $P_B=B_f^2/(2\mu_0)$. Using the preceding final field gives $\boxed{P_B\simeq2.6\times10^{13}\ \mathrm{Pa}\simeq260\ \mathrm{Mbar}}$. This uses the compressed field, not the initial 36 T field; substituting the latter would omit the square of the already squared convergence amplification.