$\mathrm{1\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{2}V\rangle \Delta E_6$

$\to S_6=\left(42\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>7}$

$\to \langle V{P}^{3}V\rangle \Delta E_1\Delta E_5$

$\to S_1{S}_5=\left(14\right)$

$\mathrm{1\; <mo>\; :\; </mo>3\; <mo>\; :\; </mo>7}$

$\to \langle V{P}^{3}V\rangle \Delta E_2\Delta E_4$

$\to S_2{S}_4=\left(5\right)$

$\mathrm{1\; <mo>\; :\; </mo>4\; <mo>\; :\; </mo>7}$

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

$\to S_3{S}_3=\left(4\right)$

$\mathrm{1\; <mo>\; :\; </mo>5\; <mo>\; :\; </mo>7}$

$\to \langle V{P}^{3}V\rangle \Delta E_4\Delta E_2$

$\to S_4{S}_2=\left(5\right)$

$\mathrm{1\; <mo>\; :\; </mo>6\; <mo>\; :\; </mo>7}$

$\to \langle V{P}^{3}V\rangle \Delta E_5\Delta E_1$

$\to S_5{S}_1=\left(14\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>3\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{4}V\rangle {\left(\Delta E_1\right)}^2\Delta E_4$

$\to S_1^2{S}_4=\left(5\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>4\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{4}V\rangle \Delta E_1\Delta E_2\Delta E_3$

$\to S_1{S}_2{S}_3=\left(2\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>5\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{4}V\rangle \Delta E_1\Delta E_3\Delta E_2$

$\to S_1{S}_3{S}_2=\left(2\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>6\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{4}V\rangle \Delta E_1\Delta E_4\Delta E_1$

$\to S_1{S}_4{S}_1=\left(5\right)$

$\mathrm{1\; <mo>\; :\; </mo>3\; <mo>\; :\; </mo>4\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{4}V\rangle \Delta E_1\Delta E_2\Delta E_3$

$\to S_1{S}_2{S}_3=\left(2\right)$

$\mathrm{1\; <mo>\; :\; </mo>3\; <mo>\; :\; </mo>5\; <mo>\; :\; </mo>7}$

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

$\to S_2^3=\left(1\right)$

$\mathrm{1\; <mo>\; :\; </mo>3\; <mo>\; :\; </mo>6\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{4}V\rangle \Delta E_2\Delta E_3\Delta E_1$

$\to S_2{S}_3{S}_1=\left(2\right)$

$\mathrm{1\; <mo>\; :\; </mo>4\; <mo>\; :\; </mo>5\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{4}V\rangle \Delta E_3\Delta E_1\Delta E_2$

$\to S_3{S}_1{S}_2=\left(2\right)$

$\mathrm{1\; <mo>\; :\; </mo>4\; <mo>\; :\; </mo>6\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{4}V\rangle \Delta E_3\Delta E_2\Delta E_1$

$\to S_3{S}_2{S}_1=\left(2\right)$

$\mathrm{1\; <mo>\; :\; </mo>5\; <mo>\; :\; </mo>6\; <mo>\; :\; </mo>7}$

$\to -\langle V{P}^{4}V\rangle \Delta E_4{\left(\Delta E_1\right)}^2$

$\to S_4{S}_1^2=\left(5\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>3\; <mo>\; :\; </mo>4\; <mo>\; :\; </mo>7}$

$\to \langle V{P}^{5}V\rangle {\left(\Delta E_1\right)}^3\Delta E_3$

$\to S_1^3{S}_3=\left(2\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>3\; <mo>\; :\; </mo>5\; <mo>\; :\; </mo>7}$

$\to \langle V{P}^{5}V\rangle {\left(\Delta E_1\right)}^2{\left(\Delta E_2\right)}^2$

$\to S_1^2{S}_2^2=\left(1\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>3\; <mo>\; :\; </mo>6\; <mo>\; :\; </mo>7}$

$\to \langle V{P}^{5}V\rangle {\left(\Delta E_1\right)}^2\Delta E_2\Delta E_1$

$\to S_1^3{S}_3=\left(2\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>4\; <mo>\; :\; </mo>5\; <mo>\; :\; </mo>7}$

$\to \langle V{P}^{5}V\rangle \Delta E_1\Delta E_2\Delta E_1\Delta E_2$

$\to S_1^2{S}_2^2=\left(1\right)$

$\mathrm{1\; <mo>\; :\; </mo>2\; <mo>\; :\; </mo>4\; <mo>\; :\; </mo>6\; <mo>\; :\; </mo>7}$

$\to \langle V{P}^{5}V\rangle \Delta E_1{\left(\Delta E_2\right)}^2\Delta E_1$

$\to S_1^2{S}_2^2=\left(1\right)$