Car starts and runs for about 13 to 20 minutes got new computer map mas still no go. wait for engine to cool off and will start. fan does not engage but sensors test ok. during diagnostics fan will run i am stumped

You most likely need a new ac compressor

Sounds like your coolant level might be low. At highway speed you probably have enough coolant and with the air passing thru the radiator keeps the temp down, but at idle not so much. Or depending whether you have a belt drive or electric fan. Belt driven, could need a new belt.

The cooling fan is made to come on when the engine reaches a certain temperature. To give a simple and general test - turn the AC on high - it your AC and fan are both working correctly the fan should come on almost immediately. If not within very few minutes like 5 or 8.
Also at operating temperature the fan will run as well. In the early morning before you start the car open the hood - fill the radiator while the engine is still cold. start the engine and wait about 10 minutes or so. The fan should come on before the engine over heats. This may take up to 20 minutes and the fan is designed to run after the car is shut off IF - the temperature is hot enough.

The fan is only supposed to come on when there is excess heat .. in normal driving conditions it doesn't start. When you start your car in the morning the fan won't come on because the engine is cold.

With a hot engine - and it depends how hot the engine is - the fan will only kick in to prevent overheating. In heavy slow moving traffic or a traffic jam, the fan will kick in if needed.

The air flow through the radiator is usually sufficient -in normal driving conditions - to cool the engine.

When you park up and the car has a hot engine, the fan will kick in. This is perfectly normal. It is caused by a surge of hot coolant triggering the fan sensor. Perfectly normal.

The fan then should cut out after a while .. maybe 2-3 minutes at the most. If the fan runs continuously that suggests a fault in the temperature sensor switch.

Next time - wait by the car and see how long it takes for the fan to quit after you have parked up. It should stop of its own accord after a couple of minutes.

If the fan cuts off after a short while, and your battery is becoming drained, that's probably a battery or alternator fault.

Remember: when you start the car the fan won't kick in at idle speed because the engine is COLD, and there is no reason for the fan to start up ..
The fan WILL kick in for a couple of minutes after you have parked the vehicle and the engine is hot

wait 10 minutes after you shut the car off - then remove the negative side of the battery - wait 30 minutes then reinstall and run the car 30 minutes.
If your cooling fluid is full and other cooling systems are in place and working - you should be fine.

The fan on your cooling system is made to continue to run once the engine is shut down if it is running a little [ or a lot] hot. So don't panic if it runs 5 minutes after you shut the car off.

One of the fans is for your radiator and the other is your condenser fan (for your air conditioning). The condenser fan starts at a higher temp than your radiator fan.
To test the condenser fan (the one on the right side, facing the car) unplug the electrical connector at the motor and use jumper wires to connect the fan directly to the battery. If it runs, check the fuses (engine compartment far upper left as you face the car), then the relay (right front corner of the engine compartment as you face it). The radiator fan typically engages between 189 and 199 degrees, but the condenser fan typically engages between 217 and 232 degrees. In other words they don't necessarily run at the same time. First of all, try letting the car run until the engine is warm WITH the ac running. If the condenser far does not run, then go through the checking procedure.
I hope this gets you started on a fix.

test

no fan comes on when engine cold start up .but it will come on when you turn on air conditioning or defrost on .if engine idling a while when temp get 190 degree the fan will kick on.if over heating you got air in system .wait until cools check coolant add more .crank engine let it idle few. minutes when start warming up turn off engine wait a while before removing radiator cap so you wont get scald.add more coolant .crank it again starting warming up turn off engine wait a while .add coolant .keep doing this procedure until your coolant stop dropping off .if you do this more than 6 times you got a leak some where.check crank level for signs.if oil level higher than normal.if everything looking good.when engine cool make sure add coolant to over flow jug cold level mark.

Have you checked all fuses for the cooling fans? Seems to be that the car is warming up to temp and then some, and protecting itself from overheating by shutting down the engine.

Sounds like your cooling fan may not be kicking on. Start the car in the driveway and just let it run with the hood open. When the engine starts to heat too much, the cooling fan should kick on. If it doesn't, it could be a fuse, a relay, a temperature switch, or the fan clutch itself.