4 1 1

5

$$-\Delta E_3\langle V{P}^{2}VPVPV\rangle$$

$$+\Delta E_2\Delta E_1\langle V{P}^{3}VPVPV\rangle$$

$$+\Delta E_1\Delta E_2\langle V{P}^{3}VPVPV\rangle$$

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

1 1 4

5

$$-\Delta E_3\langle VPVPV{P}^{2}V\rangle$$

$$+\Delta E_2\Delta E_1\langle VPVPV{P}^{3}V\rangle$$

$$+\Delta E_1\Delta E_2\langle VPVPV{P}^{3}V\rangle$$

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

1 4 1

5

$$-\Delta E_3\langle VPV{P}^{2}VPV\rangle$$

$$+\Delta E_2\Delta E_1\langle VPV{P}^{3}VPV\rangle$$

$$+\Delta E_1\Delta E_2\langle VPV{P}^{3}VPV\rangle$$

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

2 2 2

1

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

3 3

4

$$\Delta E_2\Delta E_2\langle V{P}^{2}V{P}^{2}V\rangle$$

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

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

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

4 2

5

$$\Delta E_3\Delta E_1\langle V{P}^{2}V{P}^{2}V\rangle$$

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

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

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

2 4

5

$$\Delta E_1\Delta E_3\langle V{P}^{2}V{P}^{2}V\rangle$$

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

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

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

5 1

14

$$-\Delta E_4\langle V{P}^{2}VPV\rangle$$

$$\Delta E_1\Delta E_3\langle V{P}^{3}VPV\rangle$$

$$\Delta E_3\Delta E_1\langle V{P}^{3}VPV\rangle$$

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

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

$$-\Delta E_1\Delta E_2\Delta E_1\langle V{P}^{4}VPV\rangle$$

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

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

1 5

14

$$-\Delta E_4\langle VPV{P}^{2}V\rangle$$

$$\Delta E_1\Delta E_3\langle VPV{P}^{3}V\rangle$$

$$\Delta E_3\Delta E_1\langle VPV{P}^{3}V\rangle$$

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