We wish to compute the Hagedorn temperature for a class of supersymmetric gauge theories at high precision in order to compare with predictions that come from string theory. The computation uses the quantum spectral curve (QSC), a tool that exploits the integrability of the underlying gauge theory to compute the Hagedorn temperature, the temperature where the gauge theory undergoes a deconfinement transition. The QSC computations can be structured to run in parallel.