Radiator Fan not working..

[Beubeu]

Hello everybody !

I'm a french guy, who own a yaris 1.0 VVT-i (1SZ-FE with hydraulic power steering - 2001 - build in japan(?) - does not have the air conditionning)
After overheating on a higway (because a leak on the radiator cap) i've seen that the fan attached to the radiator is not working.

To check the fan, i've put it directly on the battery and it works, so the fan is not mechanically broken. I've disconnected a green connector with one cable near to the two hose that came from the radiator, as said in the haynes book. The fan should have been turned on with the motor cold but it won't works.
Altough i've seen that the fuse 30A in the engine fuse box is ok, i've two relay a black and a brown, i've check the black one on the horn and it works. but i don't know how to check the brown one (five pins - i own a ohm-meter...)

I can read the voltage on the fuse box but i don't have any reference, on which voltage should be on the pins.

Do you have any ideas to help me in my diagnotics, or do you have a wiring diagram for this model because the haynes's diagram is partial. Also after that overheating i want to check that my cylinder head gasket is ok (oil and water looks good, no smoke at all...)

thank you everybody, and i hope you will understand my problem with my poor level in english