$N=4$ Partition of $N-1$ Characteristic term 1 1 1 $〈VPVPVPV〉$ 2 1 $-\Delta {E}_{1}〈V{P}^{2}VPV〉$ 1 2 $-\Delta {E}_{1}〈VPV{P}^{2}V〉$ 3 ${\left(\Delta {E}_{1}\right)}^{2}〈V{P}^{3}V〉$ $N=5$ Partition of $N-1$ Characteristic term 1 1 1 1 $〈VPVPVPVPV〉$ 2 1 1 $-\Delta {E}_{1}〈V{P}^{2}VPVPV〉$ 1 2 1 $-\Delta {E}_{1}〈VPV{P}^{2}VPV〉$ 1 1 2 $-\Delta {E}_{1}〈VPVPV{P}^{2}V〉$ 2 2 ${\left(\Delta {E}_{1}\right)}^{2}〈V{P}^{2}V{P}^{2}V〉$ 3 1 ${\left(\Delta {E}_{1}\right)}^{2}〈V{P}^{3}V{P}^{1}V〉$ 1 3 ${\left(\Delta {E}_{1}\right)}^{2}〈VPV{P}^{3}V〉$ 4 $-{\left(\Delta {E}_{1}\right)}^{3}〈V{P}^{4}V〉$ $N=6$ Partition of $N-1$ Characteristic term 1 1 1 1 1 $〈VPVPVPVPVPV〉$ 2 1 1 1 $-\Delta {E}_{1}〈V{P}^{2}VPVPVPV〉$ 1 2 1 1 $-\Delta {E}_{1}〈VPV{P}^{2}VPVPV〉$ 1 1 2 1 $-\Delta {E}_{1}〈VPVPV{P}^{2}VPV〉$ 1 1 1 2 $-\Delta {E}_{1}〈VPVPVPV{P}^{2}V〉$ 2 2 1 ${\left(\Delta {E}_{1}\right)}^{2}〈V{P}^{2}V{P}^{2}VPV〉$ 2 1 2 ${\left(\Delta {E}_{1}\right)}^{2}〈V{P}^{2}VPV{P}^{2}V〉$ 1 2 2 ${\left(\Delta {E}_{1}\right)}^{2}〈VPV{P}^{2}V{P}^{2}V〉$ 3 1 1 ${\left(\Delta {E}_{1}\right)}^{2}〈V{P}^{3}VPVPV〉$ 1 3 1 ${\left(\Delta {E}_{1}\right)}^{2}〈VPV{P}^{3}VPV〉$ 1 1 3 ${\left(\Delta {E}_{1}\right)}^{2}〈VPVPV{P}^{3}V〉$ 3 2 $-{\left(\Delta {E}_{1}\right)}^{3}〈V{P}^{3}V{P}^{2}V〉$ 2 3 $-{\left(\Delta {E}_{1}\right)}^{3}〈V{P}^{2}V{P}^{3}V〉$ 4 1 $-{\left(\Delta {E}_{1}\right)}^{3}〈V{P}^{4}VPV〉$ 1 4 $-{\left(\Delta {E}_{1}\right)}^{3}〈VPV{P}^{4}V〉$ 5 ${\left(\Delta {E}_{1}\right)}^{4}〈V{P}^{5}V〉$