Coulomb blockade resonances are measured in a GaAs quantum dot in which bot
h shape deformations and interactions are small. The parametric evolution o
f the Coulomb blockade peaks shows a pronounced pair correlation in both po
sition and amplitude, which is interpreted as spin pairing. As a consequenc
e, the nearest-neighbor distribution of peak spacings can be well approxima
ted by a modified bimodal Wigner surmise, in which interactions are taken i
nto account beyond the constant interaction model.