I would like to know what was going on between 2 h 12 min 02 - 2 h 13 min 32.
The BEA release is quite devoid of any facts for that long 90 seconds or so where AF447 went from FL3xx to FL100.
No cvr information, no sidestick input information, no flight parameter information nothing
Vertical speed -10,000 ft/min...
You're not quite right though, there is some info about that time period:
At around 2 h 11 min 40 <snip>
The altitude was then about 35,000 ft, the angle of attack exceeded 40 degrees and the vertical speed was about -10,000 ft/min. The airplane’s pitch attitude did not exceed 15 degrees and the engines’ N1’s were close to 100%. The airplane was subject to roll oscillations that sometimes reached 40 degrees. The PF made an input on the sidestick to the left and nose-up stops, which lasted about 30 seconds.
At 2 h 12 min 02, the PF said "I don’t have any more indications", and the PNF said "we have no valid indications". At that moment, the thrust levers were in the IDLE detent and the engines’ N1’s were at 55%. Around fifteen seconds later, the PF made pitch-down inputs. In the following moments, the angle of attack decreased, the speeds became valid again and the stall warning sounded again.
At 2 h 13 min 32, the PF said "we’re going to arrive at level one hundred". About fifteen seconds later, simultaneous inputs by both pilots on the sidesticks were recorded and the PF said "go ahead you have the controls".
The initial altitude (FL350) and 2 minutes @ 10K/min gets you close to FL100