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

(1)

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

(1)

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

(1)

1 4 2

$S_1{S}_5{S}_2=5\to \langle VPV{P}^{2}V{P}^{2}V\rangle \Delta E_3\Delta E_1$

(2)

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

(1)

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

(1)

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

(1)

4 3

$S_4{S}_3=5\times 2=10\to \langle V{P}^{2}V{P}^{2}V\rangle \Delta E_3\Delta E_2$

(2)

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

(1)

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

(1)

$\to \langle V{P}^{4}V{P}^{2}V\rangle {\left(\Delta E_1\right)}^3\Delta E_2$

(1)

$\to -\langle V{P}^{2}V{P}^{3}V\rangle \Delta E_3{\left(\Delta E_1\right)}^2$

(1)

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

(1)

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

(1)

$\to -\langle V{P}^{4}V{P}^{3}V\rangle {\left(\Delta E_1\right)}^5$

(1)

3 4

$S_3{S}_4=2\times 5=10\to \langle V{P}^{2}V{P}^{2}V\rangle \Delta E_2\Delta E_3$

(2)

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

(1)

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

(1)

$\to \langle V{P}^{2}V{P}^{4}V\rangle \Delta E_2{\left(\Delta E_1\right)}^3$

(1)

$\to -\langle V{P}^{3}V{P}^{2}V\rangle {\left(\Delta E_1\right)}^2\Delta E_3$

(2)

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

(1)

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

(1)

$\to -\langle V{P}^{3}V{P}^{4}V\rangle {\left(\Delta E_1\right)}^5$

(1)

5 2

$S_5{S}_2=14\to \langle V{P}^{2}V{P}^{2}V\rangle \Delta E_4\Delta E_1$

(5)

$\to -\langle V{P}^{3}V{P}^{2}V\rangle \Delta E_3{\left(\Delta E_1\right)}^2$

(2)

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

(1)

$\to -\langle V{P}^{3}V{P}^{2}V\rangle \Delta E_3{\left(\Delta E_1\right)}^2$

(2)

$\to \langle V{P}^{4}V{P}^{2}V\rangle \Delta E_2{\left(\Delta E_1\right)}^3$

(1)

$\to \langle V{P}^{4}V{P}^{2}V\rangle \Delta E_1\Delta E_2{\left(\Delta E_1\right)}^2$

(1)

$\to \langle V{P}^{4}V{P}^{2}V\rangle {\left(\Delta E_1\right)}^2\Delta E_2\Delta E_1$

(1)