RUMBEAR
Wrong guess: the alternat law was triggered due to the stall warning activation at take off resulting in the FCS discarding at least two of the three AOA output through the ADIRS; then, due to the prolonged flight time with gear down, the direct law was triggered; when the gear was raised the alternate law was reinstated again and kept till the autopilot was on; with AP off (and gear down) the direct law was triggered again. Not let me get involved in this never ending talk about Airbus flight laws: as an Airbus pilot I like the aircraft and by the way it flies as a normal aircraft in direct law; controllability problems in direct law are related to other issues, like faults that leave the aircraft with partial flight control surfaces.