Data for Fig. 4 of J. Phys. A 51 (2018) 495002

Entropy obtained from numerical solution of the TBA equations (3.2) for $p_0=2+1/3$ and $H_2\equiv 0$ as a function of the field $(Z_1H_1/M_0$ for $T=0.01M_0$. For fields large compared to the soliton mass, $Z_1H_1\gg M_0$, the entropy approaches the expected analytical value (3.18) for a field theory with a free bosonic sector and a $Z_{SU(3){N_f=2}}/Z{SU(2){N_f=2}}$ parafermion sector propagating with velocities $v^{(1)}{\text{quark}}$ and $v^{(1)}_{pf}$, respectively (full red line). For magnetic fields $Z_1H_1<M_0$ and temperature $T\ll M_0$ the entropy is that of a dilute gas of non-interacting quasi-particles with degenerate internal degree of freedom due to the anyons.