You can buy the Speed Triple/Daytona 955i manual on a CD or as a PDF download on Ebay. Mine has both, 2003 edition, bought in 2009. I assume the Ebay ones are the same. You can’t get very far without it. It’s interesting to compare the specs of the Speed Triple with the Daytona, as they are presented on the same page.
When you turn on the ignition, you immediately hear the idle control valve stepping to fully closed and back to the normal position, and also the fuel pump priming the fuel injection system. It’s easy to hear the high pitched sound. This last a few seconds, then the pump stops until the engine is running. You can crank the engine while the pump is priming. Obviously, if the pump is not running, you won’t hear it. If it’s not running, it’s either seized up after a long period in storage or it is not getting 12 volts. If it’s seized, there may be a blown fuse 5. It’s hard to tell which fuse from the main wiring diagram, as connector 50 either has the alarm feature connected, or a jumper plug. The wiring diagram does not show the jumper configuration. If the pump is seized I guess the injectors may be gummed up too. On diagram 16.25, the fuel pump is powered, with the ECM and instruments, from pins 1 and 3 on connector 50 (alarm). There is no fuel pump relay. I’d expect jumpers in connector 50 to bridge pins 1 to 2 and 3 to 5 when no alarm is installed. All this, and the starter solenoid, and the main power relay are supplied by fuse 5. The main power relay is controlled by the ECM. If fuse 5 blows, the engine won’t crank, everything is dead. On the main wiring diagram, the main power relay supplies through fuses 6,7, the coils, the injectors, the fan, the oxygen sensor, and the ECU itself with +12V. There is no separate fan relay. All these have power while the main power relay relay is transferred, even if the ignition is switched off. This means that when the ignition is switched off, the ECU can hold up the main power relay and keep itself alive as long as it chooses. That’s how the fan, for some reason known only to Triumph, continues to run after the ignition is switched off, if it was running before. The ECU waits until the coolant temperature sensor drops to 101C, then drops the relay, stopping the fan and killing itself. But, the fan is cooling the radiator, the sensor is in the cylinder head, and there is no coolant circulation. Go figure.