We applied LCV and the MR methods to GWAS summary statistics for 52 diseases and complex traits, including summary statistics for 37 UK Biobank traits[27,28] computed using BOLT-LMM[29] (average N=429k) and 15 other traits (average N=54k) (see Supplementary Table 10 and Methods). These traits were selected based on the significance of their heritability estimates (Zh > 7), and trait pairs with very high genetic correlations (∣ρg > 0.9) were pruned. As in previous work, we excluded the MHC region from all analyses, due to its unusually large effect sizes and long-range LD patterns[19].