Well I can't dispute your numbers but I did do a google search and found the following from a few different sites. In any case no matter what the actual temperature and psi my experience with two diesel tractors with Yanmar engines, one used and one new, at 8600 feet is that they need a warm engine or warm air to start easily.
Articles:
Air is drawn into the cylinders and is compressed by the pistons at compression ratios as high as 25:1, much higher than used for spark-ignite engines. Near the end of the compression stroke, diesel fuel is injected into the combustion chamber through an injector (or atomizer). The fuel ignites from contact with the air that, due to compression, has been heated to a temperature of about 700–900 °C (1300–1650 °F).
At the end of the compression stroke, the pressure in the cylinder can reach 500 psi or 34 atm and the air can be heated up to 1000° F or 530° C.
Diesel engines, by comparison, operate at compression ratios between 14:1 and 24:1. During the compression stroke, the temperature of the intake air rises to as much as 1400º F.
With the piston, having covered the intake ports, travels upwards, compressing the trapped air from its original volume to a fraction of it, generally anywhere from 17:1 to 23:1 (gas engines are about 9:1) to about 42 bars (~600psi). The air’s volume reduction crushes the air molecule together and as a result they build up heat.
Air is compressed to a pressure high enough for the adiabatic temperature to reach or exceed the ignition temperature of the fuel. Because this temperature is 1000°F (538°C) or higher, compression ratios of 12:1 to 23:1 are used with compression pressures from about 440 to 800 psi (3 to 5.5 megapascals).