  Slowly rotating spin-1 Bose-Einstein condensates are studied through a
variational approach based upon lowest Landau level calculus. The author finds
that in a gas with ferromagnetic interactions, such as $^{87}$Rb, angular
momentum is predominantly carried by clusters of two different types of
skyrmion textures in the spin-vector order parameter. Conversely, in a gas with
antiferromagnetic interactions, such as $^{23}$Na, angular momentum is carried
by $\pi$-disclinations in the nematic order parameter which arises from spin
fluctuations. For experimentally relevant parameters, the cores of these
$\pi$-disclinations are ferromagnetic, and can be imaged with polarized light.
