Only genes for residual-PAU and PTU were identified in multiple methods (and only using MAGMA and H-MAGMA methods), resulting in 21 and 25 genes, respectively (Supplementary Table 15). We saw some substance-specificity in the genes associated with the residual SUD phenotypes. Most genes identified for the residual SUDs were previously associated with a substance use phenotype and many were associated only with a phenotype for that specific substance. For example, of the 21 genes associated with residual-PAU, the 13 genes that were previously associated with a substance use trait were only associated with an alcohol and not with other substances (excluding multivariate analyses of multiple substances).