(Galileo would have added Sagredo, somehow playing host to both Londoners and Arcadians?)
Interesting that these toga-clad truth-loving Arcadians predate Wonder Woman?
Lagniappe: https://images.squarespace-cdn.com/content/v1/51b3dc8ee4b051...
BTW, I messed up with the conjugation: of course conjugating an identity yields itself, but even if I don't recall it properly there is some way to get a torsor from a group by messing with "phase".