$1:7$ $\to -〈V{P}^{2}V〉\Delta {E}_{6}$ $\to {S}_{6}=\left(42\right)$ $1:2:7$ $\to 〈V{P}^{3}V〉\Delta {E}_{1}\Delta {E}_{5}$ $\to {S}_{1}{S}_{5}=\left(14\right)$ $1:3:7$ $\to 〈V{P}^{3}V〉\Delta {E}_{2}\Delta {E}_{4}$ $\to {S}_{2}{S}_{4}=\left(5\right)$ $1:4:7$ $\to 〈V{P}^{3}V〉\Delta {E}_{3}\Delta {E}_{3}$ $\to {S}_{3}{S}_{3}=\left(4\right)$ $1:5:7$ $\to 〈V{P}^{3}V〉\Delta {E}_{4}\Delta {E}_{2}$ $\to {S}_{4}{S}_{2}=\left(5\right)$ $1:6:7$ $\to 〈V{P}^{3}V〉\Delta {E}_{5}\Delta {E}_{1}$ $\to {S}_{5}{S}_{1}=\left(14\right)$ $1:2:3:7$ $\to -〈V{P}^{4}V〉{\left(\Delta {E}_{1}\right)}^{2}\Delta {E}_{4}$ $\to {S}_{1}^{2}{S}_{4}=\left(5\right)$ $1:2:4:7$ $\to -〈V{P}^{4}V〉\Delta {E}_{1}\Delta {E}_{2}\Delta {E}_{3}$ $\to {S}_{1}{S}_{2}{S}_{3}=\left(2\right)$ $1:2:5:7$ $\to -〈V{P}^{4}V〉\Delta {E}_{1}\Delta {E}_{3}\Delta {E}_{2}$ $\to {S}_{1}{S}_{3}{S}_{2}=\left(2\right)$ $1:2:6:7$ $\to -〈V{P}^{4}V〉\Delta {E}_{1}\Delta {E}_{4}\Delta {E}_{1}$ $\to {S}_{1}{S}_{4}{S}_{1}=\left(5\right)$ $1:3:4:7$ $\to -〈V{P}^{4}V〉\Delta {E}_{1}\Delta {E}_{2}\Delta {E}_{3}$ $\to {S}_{1}{S}_{2}{S}_{3}=\left(2\right)$ $1:3:5:7$ $\to -〈V{P}^{4}V〉\Delta {E}_{2}\Delta {E}_{2}\Delta {E}_{2}$ $\to {S}_{2}^{3}=\left(1\right)$ $1:3:6:7$ $\to -〈V{P}^{4}V〉\Delta {E}_{2}\Delta {E}_{3}\Delta {E}_{1}$ $\to {S}_{2}{S}_{3}{S}_{1}=\left(2\right)$ $1:4:5:7$ $\to -〈V{P}^{4}V〉\Delta {E}_{3}\Delta {E}_{1}\Delta {E}_{2}$ $\to {S}_{3}{S}_{1}{S}_{2}=\left(2\right)$ $1:4:6:7$ $\to -〈V{P}^{4}V〉\Delta {E}_{3}\Delta {E}_{2}\Delta {E}_{1}$ $\to {S}_{3}{S}_{2}{S}_{1}=\left(2\right)$ $1:5:6:7$ $\to -〈V{P}^{4}V〉\Delta {E}_{4}{\left(\Delta {E}_{1}\right)}^{2}$ $\to {S}_{4}{S}_{1}^{2}=\left(5\right)$ $1:2:3:4:7$ $\to 〈V{P}^{5}V〉{\left(\Delta {E}_{1}\right)}^{3}\Delta {E}_{3}$ $\to {S}_{1}^{3}{S}_{3}=\left(2\right)$ $1:2:3:5:7$ $\to 〈V{P}^{5}V〉{\left(\Delta {E}_{1}\right)}^{2}{\left(\Delta {E}_{2}\right)}^{2}$ $\to {S}_{1}^{2}{S}_{2}^{2}=\left(1\right)$ $1:2:3:6:7$ $\to 〈V{P}^{5}V〉{\left(\Delta {E}_{1}\right)}^{2}\Delta {E}_{2}\Delta {E}_{1}$ $\to {S}_{1}^{3}{S}_{3}=\left(2\right)$ $1:2:4:5:7$ $\to 〈V{P}^{5}V〉\Delta {E}_{1}\Delta {E}_{2}\Delta {E}_{1}\Delta {E}_{2}$ $\to {S}_{1}^{2}{S}_{2}^{2}=\left(1\right)$ $1:2:4:6:7$ $\to 〈V{P}^{5}V〉\Delta {E}_{1}{\left(\Delta {E}_{2}\right)}^{2}\Delta {E}_{1}$ $\to {S}_{1}^{2}{S}_{2}^{2}=\left(1\right)$