The AD33 crucifixion detail in Judea

[M. Demetrius]

Summinf up, we come to these conclusions on the topic:

The soldiers were probably auxilia, not legionaries
There were 4 soldiers who directly crucified Jesus (since they parted his clothing into 4 parts, according to the Gospel, but his tunic was woven in one piece with no seam (I don't get it, but that's what it says) so it was not torn, but gambled for, probably with dice. We don't know about the other two, but it could have been the same 4.
There was at least one centurion present
The 4 at the top of the hill might not have been all the soldiers present (some would have accompanied Jesus, and two crucifixions were already in place when He arrived)
There would have been more soldiers for crowd control, but we don't know how many.
The "vinegar" on the sponge was probably posca
The cross was likely either the "low tau" (typically represented cross) or the "high tau" (shaped like a T)
Those to be crucified were made to carry the crossbeam, not the entire cross, probably.

What else?