I’m looking at slide 11 of https://github.com/bcriger/slide_decks/blob/master/Surface_Code_And_Decoding.pdf :
I do not understand the last line. Why do all the other logical qubits need to be measured during this time? I understand that for $S_L$ we need a magic state and we need to feed a measurement eigenvalue forward. I do not understand where $O(d^6)$ comes from.