1 2 2 2

$S_1{S}_2^3=1\to -\langle VPV{P}^{2}V{P}^{2}V{P}^{2}V\rangle {\left(\Delta E_1\right)}^3$

(1)

3 1 1 1 1

$S_3{S}_1^4=2\to -\langle V{P}^{2}VPVPVPVPV\rangle \Delta E_2$

(2)

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

1 3 1 1 1

$S_1^4{S}_3=2\to -\langle VPV{P}^{2}VPVPVPV\rangle \Delta E_2$

(2)

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

1 1 3 1 1

$S_1^4{S}_3=2\to -\langle VPVPV{P}^{2}VPVPV\rangle \Delta E_2$

(2)

$\to \langle VPVPV{P}^{3}VPVPV\rangle {\left(\Delta E_1\right)}^2$

1 1 1 3 1

$S_1^4{S}_3=2\to -\langle VPVPVPV{P}^{2}VPV\rangle \Delta E_2$

(2)

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

1 1 1 1 3

$S_1^4{S}_3=2\to -\langle VPVPVPVPV{P}^{2}V\rangle \Delta E_2$

(2)

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

3 2 1 1

$S_3{S}_2{S}_1^2=2\to \langle V{P}^{2}V{P}^{2}VPVPV\rangle \Delta E_2\Delta E_1$

(2)

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

1 3 2 1

$S_1^2{S}_3{S}_2=2\to \langle VPV{P}^{2}V{P}^{2}VPV\rangle \Delta E_2\Delta E_1$

(2)

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

2 1 3 1

$S_2{S}_1^2{S}_3=2\to \langle V{P}^{2}VPV{P}^{2}VPV\rangle \Delta E_1\Delta E_2$

(2)

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

3 1 2 1

$S_3{S}_1^2{S}_2=2\to \langle V{P}^{2}VPV{P}^{2}VPV\rangle \Delta E_2\Delta E_1$

(2)

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

2 3 1 1

$S_2{S}_3{S}_1^2=2\to \langle V{P}^{2}V{P}^{2}VPVPV\rangle \Delta E_1\Delta E_2$

(2)

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

1 2 3 1

$S_1^2{S}_2{S}_3=2\to \langle VPV{P}^{2}V{P}^{2}VPV\rangle \Delta E_1\Delta E_2$

(2)

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

1 1 2 3

$S_1^2{S}_2{S}_3=2\to \langle VPVPV{P}^{2}V{P}^{2}V\rangle \Delta E_1\Delta E_2$

(2)

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

1 1 3 2

$S_1^2{S}_3{S}_2=2\to \langle VPVPV{P}^{2}V{P}^{2}V\rangle \Delta E_2\Delta E_1$

(2)

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

1 2 1 3

$S_1^2{S}_2{S}_3=2\to \langle VPV{P}^{2}VPV{P}^{2}V\rangle \Delta E_1\Delta E_2$

(2)

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