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of the following 19 [= D $^{TI}$( L = 30)] RVM functions: 

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Diagonalization of the Coulomb interaction in the above TI subspace yielded an energy 0.25084902 e $^{2}$/ ( κl$_{B}$ ) per electron for the yrast state; this value agrees again, within machine precision, with the EXD result. The most sophisticated variants of the composite-fermion the- ory [including composite-fermion diagonalization (CFD), composite-fermion crystal (CFC), and mixed liquid-CFC states [11, 17–19]] fall short in this respect. Indeed the following higher energies were found [17, 61]: 0.250863(6) (CFD), 0.25094(4) (mixed), 0.25101(4) (CFC). The CFD basis is not translationally invariant [18, 19]. Conse- quently, to achieve machine-precision accuracy, the CFD will have to be performed in the larger space of dimension D $^{EXD}$( L = 30) = 169. 

For N = 5 spinless bosons, one needs to consider rovi- brational states [see Eq. (33)] for three distinct molecular configurations, i.e., Φ RBM 5 k (0 , 5) Q m λ , Φ REM 4 k (1 , 4) Q m λ , and Φ REM 3 k (2 , 3) Q m λ . Vibrations with ≥ 2 must also be con- sidered; since the RVM states are not always orthogonal, a Gram-Schmidt orthogonalization is implemented. TA- BLE IV summarizes the quantal molecular description in the start of the LLL spectrum (0 ≤ L ≤ 12). Of particular interest is the L = 8 case, since it corre- 

sponds to the bosonic Moore-Read state, given [24, 31] by the analytic expression: 

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where sets A and B contain ( N − 1) / 2 and ( N + 1) / 2 particles, respectively, if N is odd. (For N even, both sets contain N/ 2 particles.) S symmetrizes over all possible ways of carrying such a division of N particles into the two sets. 

Based on sizeable overlaps with the EXD wave func- tions [24, 31], the bosonic Moore-Read states [7] are thought to represent the yrast states in the lowest Lan- dau level with the same angular momentum, i.e., L = 

## D. Five bosons 

