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Put descriptions and any special notes here.  How we define gain region: A zone is contained in the gain region if the matter energy source term from neutrinos $d\epsilon/dt>0$ .and. $\rho<3\times10^10$g/cm$^3$ $\rho<3\times10^{10}$g/cm$^3$  .and. $s>6 k_\mathrm{B}/\mathrm{baryon}$. This eliminates zones at high density where spurious heating can occur, and zones outside the shock front where any energy exchange is minimal, but do not want to flag a zone as in the gain region. How we define $E_\mathrm{gain}$: $\sum_i m_i [1/2 |v_i|^2 + \epsilon_i + \phi_i]$. Here $i$ loops over zones flagged as gain region (see above), $\epsilon_i$ is the internal energy (taking zero to be the natural zero of the Hempel SFHo EoS [note: ensure Hempel's zero makes sense for this]), and $\phi_i$ is the gravitational potential of zone $i$.