The French prosecutor has ordered a preliminary inquiry before deciding whether Strauss-Kahn should be put under formal investigation.
The military prosecutor in Irkutsk also ordered an investigation to see if there was a violation of flight rules.
If the suspect does not contest the demand, the prosecutor may order a fine which may not be higher than demanded by the policeman.
They noted that prosecutors, by their own account, had ordered medical personnel to be outside the hotel room where the crack was alleged to have been smoked.
However, a prosecutor ordered them released and the shark fins were returned to the fishers.
"Tell us the facts," ordered the prosecutor.
"The prosecutor can order a medical exam on a woman, because that's within the prosecutor's authority," she said.
The results of an autopsy, which prosecutors ordered as part of the criminal investigation, are expected sometime in the next two weeks.
The prosecutors also ordered the first test of Mr. Paul's blood - eventually there would be three - and made the findings public on Sept. 1.
Egypt's prosecutor general ordered arrests of several opposition activists accused of inciting attacks.