Doubly excited intrashell resonance states of positronium negative ion, Ps(
-) associated with the N=4 and N=5 thresholds of Ps atom are calculated usi
ng the method of complex-coordinate rotation. Products of Slater-type orbit
als are used to represent the two-electron wave functions. All possible int
rashell states with angular momenta up to L=6 and L=8 for N=4 and N=5 thres
holds, respectively, have been identified. Supermultiplet structures showin
g the rotational and vibrational character of the doubly excited resonance
states of Ps(-) are constructed.