For phenotypes involved in correlations that survived multiple test correction, estimated SNP heritability is shown in Table 2. For these phenotypes, we reassessed SNP heritability and the magnitude of genome-wide genetic correlations using the HESS method (Tables 1 and 2). Correlation coefficients were not correlated between the two methods (pearson r = 0.25, p = 0.25; Supplementary Figure 1) and the absolute value of the difference was negatively related to sample size (r = −0.45, p = 0.035; Supplementary Figure 2), which is consistent with the software developer’s guidelines (Shi et al. 2017). LDSC-based correlations among the immune-related phenotypes are reported in the Supplementary Text and Supplementary Table 5.