4 2 1

$S_4{S}_2{S}_1=5\to \langle V{P}^{2}V{P}^{2}VPV\rangle \Delta E_3\Delta E_1$

(2)

$\to -\langle V{P}^{3}V{P}^{2}VPV\rangle \Delta E_2{\left(\Delta E_1\right)}^2$

(1)

$\to -\langle V{P}^{3}V{P}^{2}VPV\rangle \Delta E_1\Delta E_2\Delta E_1$

(1)

$\to \langle V{P}^{4}V{P}^{2}VPV\rangle {\left(\Delta E_1\right)}^2$

(1)

4 1 2

$S_4{S}_1{S}_2=5\to \langle V{P}^{2}VPV{P}^{2}V\rangle \Delta E_3\Delta E_1$

(2)

$\to -\langle V{P}^{3}VPV{P}^{2}V\rangle \Delta E_2{\left(\Delta E_1\right)}^2$

(1)

$\to -\langle V{P}^{3}VPV{P}^{2}V\rangle \Delta E_1\Delta E_2\Delta E_1$

(1)

$\to \langle V{P}^{4}VPV{P}^{2}V\rangle {\left(\Delta E_1\right)}^4$

(1)

2 4 1

$S_2{S}_4{S}_1=5\to \langle V{P}^{2}V{P}^{2}VPV\rangle \Delta E_1\Delta E_3$

(2)

$\to -\langle V{P}^{2}V{P}^{3}VPV\rangle \Delta E_1\Delta E_2\Delta E_1$

(1)

$\to -\langle V{P}^{2}V{P}^{3}VPV\rangle {\left(\Delta E_1\right)}^2\Delta E_2$

(1)

$\to \langle V{P}^{2}V{P}^{4}VPV\rangle {\left(\Delta E_1\right)}^4$

(1)

2 1 4

$S_2{S}_1{S}_4=5\to \langle V{P}^{2}VPV{P}^{2}V\rangle \Delta E_1\Delta E_3$

(2)

$\to -\langle V{P}^{2}VPV{P}^{3}V\rangle {\left(\Delta E_1\right)}^2\Delta E_2$

(1)

$\to -\langle V{P}^{2}VPV{P}^{3}V\rangle \Delta E_1\Delta E_2\Delta E_1$

(1)

$\to \langle V{P}^{2}VPV{P}^{4}V\rangle {\left(\Delta E_1\right)}^4$

(1)

1 2 4

$S_1{S}_2{S}_4=5\to \langle VPV{P}^{2}V{P}^{2}V\rangle \Delta E_1\Delta E_3$

(2)