I. INTRODUCTION II. METHOD The coupled cluster method (CCM) [1–9] is a well-known method of quantum many- body theory (QMBT). The CCM has been applied with much success in order to study quantum magnetic systems at zero temperature (see Refs. [10–52]). In particular, the use of computer-algebraic implementations [22, 26, 32, 52] of the CCM has been found to be very effective with respect to these spin-lattice problems. Recent developments of high- order CCM formalism and codes have been to treat systems with spin quantum number of s ≥ 1 2 for both the ground and excited states [52]. Furthermore, the ground-state formalism and codes may also be used directly to find “generalised” expectation values [53]. These expectation values are defined for a wide range of one- or two-body spin operator that prior to the CCM calculation. Here we show how the consideration of previous results for exact results for the (symmetry-breaking) 1D J 1 – J 2 model at J 2 /J 1 = 0 . 5 [50, 54] and a (non-symmetry-breaking) nearest-neighbour CAVO model [50] in the limits that various nearest-neighbour bond either go to zero or infinity leads on naturally to the treatment of finite lattices via the CCCM code [55]. This is achieved by the simple expedient of choosing the finite-lattice to be the fundamental unit cell and so this is a “brute-force” solution of the finite-lattice problem via high-order CCM. The details of the practical application of high-order coupled cluster method (CCM) formalism to lattice quantum spin systems are given in Refs. [22, 26, 32, 38, 52] and also in the appendices to this article. However, we point out now that the ket and bra ground-state energy eigenvectors, | Ψ 〉 and 〈 ˜ Ψ | , of a general many-body system described by a Hamiltonian H , are given by Furthermore, the ket and bra states are parametrised within the single-reference CCM as follows: H | Ψ 〉 = E$_{g}$ | Ψ 〉 ; 〈 ˜ Ψ | H = E$_{g}$ 〈 ˜ Ψ | . (1) 2 | Ψ 〉 = e $^{S}$| Φ 〉 ; S = ∑ I $_{=0}$S $_{I}$C + I ,