couplings $m$ and $h$. In particular we give plots for some component ratios of the type given by (\[gen\_rat\]). The numerical results together with the analytic ones from section 2 lead to the diagram on Fig. \[diagram\_real\] which is further discussed in section 4.2. While TCSA works really well for the real couplings, for imaginary magnetic field when the vacuum energy is real another numerical method - truncated free fermion space approach (TFFSA) of [@FZ] works much better. This method which we explain in section 5 allows one to treat the mass coupling non-perturbatively. In section 6 we present our numerical results obtained using TFFSA for the case of imaginary magnetic field and the region $y>y_{\rm cr}$ where the vacuum energy is complex. In section 7 we discuss the region $y\le y_{\rm cr}$. We first consider the massive flows with $y<y_{\rm cr}$ in section 7.1. Before discussing in section 7.3 the numerics for component ratios related to the flow to the Yang-Lee fixed point at $y=y_{\rm cr}$ we describe all conformal interfaces between the Ising and Yang-Lee models in section 7.2. We finish off with a brief discussion of some open problems in section 8.

RG flows at zero magnetic 