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Note that these LEDs all do separate things.
The Injector LED on the MegaSquirt® controller lights when either Injector bank is commanded to fire, while the injector LEDs on the Stimulator light when each injector bank actually is grounded. The MegaSquirt® controller LED will flash synchronously with the Stimulator Injector LEDs in simultaneous mode, and will flash twice as fast as either LED in alternating mode.
The Warm-up Enrichment values are separate entries in the software from the Fast Idle Threshold value, so these two LEDs will generally light at different, though similar, coolant temperatures.
The Fuel Pump LED is light whenever the fuel pump relay is grounded. Since the Stimulator puts out about 1 pulse per second minimum, and the MegaSquirt® controller leaves the pump on for 2 seconds after the last ignition event, the fuel pump LED should be light whenever the Stimulator is plugged into the MegaSquirt® controller.
By using these LEDs, and adjusting the RPM, coolant and air temperature, EGO, and throttle potentiometers on the MegaStimulator, while viewing the TunerStudio tuning software, you ought to be able to test every function of your MegaSquirt® EFI Controller, except MAP function [for which you can suck and blow].
Note that the stim generally only allows you to turn the MegaSquirt® controller temperatures down to ~30°F or so (because of it's particular electrical design), and if you turn the pot all the other way around, you'll get 170°F. However this is the 'fault mode', which defaults to 170° when the sensor is shorted to ground. If you turn the pot back a bit, you should be able to get readings of at least 215°F in TunerStudio.