  For the rational quantum Calogero systems of type $A_1{\oplus}A_2$, $AD_3$
and $BC_3$, we explicitly present complete sets of independent conserved
charges and their nonlinear algebras. Using intertwining (or shift) operators,
we include the extra `odd' charges appearing for integral couplings. Formulae
for the energy eigenstates are used to tabulate the low-level wave functions.
