GPT-5.5 Thinking
We use the notations $s_{i,j}=z_{i}+w_{i}-z_{j}$ w...
We use the notations $s_{i,j}=z_{i}+w_{i}-z_{j}$ where $\{w_i\}$ are generic parameters.
Notice that
\[
dz_{1,2}\wedge dz_{2,3} = dz_{2,3}\wedge dz_{3,1} = dz_{3,1}\wedge dz_{1,2} = dz_{1}\wedg...
