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\caption{Eigenstates for a one-dimensional lithium atom, the first eigenstate in the calculation is bosonic and hence removed from any further calculations. The next two states are energetically degenerate and correspond to diagrams b) and c) in Fig.\ \ref{fig:young}.}  \end{table}  If certain state energies are degenerate, the Young diagram ``projection'' contains an additional loop, ensuring that the same diagram is not used to symmetrize successive states: this would yield the same spatial part for each wave function in the degenerate sub-space. A given diagram is only used once in the sub-space, on the first state whose projection has significant weight.  The implementation also allows for the treatment of bosons, in which case the total wave function has to be symmetric under exchange of two particles. In this case, none of the Young diagrams is forbidden, since one can always find a spin part such that the total wave function becomes symmetric.   In order for the (anti-)symmetrization to work properly one needs to declare each particle in the calculation to be a fermion, a boson, or an anyon. In the latter case, the corresponding spatial variables are not considered at all in the (anti-)symmetrization procedure. One can also have more than one type of fermion or boson, in which case the symmetric requirements are only enforced for particles belonging to the same type.