For the spin-flip statelets (Sec. 3.1.2), when solving Eq. ( ), the spin projection quantum are the spin projection quantum numbers we use. If not, then the difference is applied first to whichever of fragments K, L has larger reference-state spin-magnitude (defaulting to L if they are equal), then to the other, then to spectator fragments sorted in decreasing order of their spin magnitude quantum numbers (S M ).