Nelson, et al. (Science 238, 1670 (1987)) examined several weakly bound gas-phase complexes of ammonia in search of examples in which the $\mathrm{H}$ atoms in $\mathrm{NH}_3$ formed hydrogen bonds, but found none. For example, they found that the complex of $\mathrm{NH}_3$ and $\mathrm{CO}_2$ has the carbon atom nearest the nitrogen (299 pm away): the $\mathrm{CO}_2$ molecule is at right angles to the $\mathrm{C}-\mathrm{N}$ 'bond', and the $\mathrm{H}$ atoms of $\mathrm{NH}_3$ are pointing away from the $\mathrm{CO}_2$. The magnitude of the permanent dipole moment of this complex is reported as $1.77 \mathrm{D}$. If the $\mathrm{N}$ and $\mathrm{C}$ atoms are the centres of the negative and positive charge distributions, respectively, what is the magnitude of those partial charges (as multiples of $e$ )?
0.123