In order to solve this puzzle you will need to to first complete the following logic puzzle using the information you collected from all the 28 caches and some more information about Star Trek.
This victim appeared on Star Trek Original Series.
This villain did not appear on Star Trek Original Series.
Dr. McCoy used this device.
The place is not for recreation.
The victim has an even number.
This villain has an odd number.
The device has an even number.
The place has an odd number.
The victim Appeared in "Where No Man Has Gone Before."
The villain is military.
The Device was designed by Wah Ming Chang.
The place first appeared in "Galileo Seven."
Now that you have the answer, you have the code for the lock.
Now the coordinates:
39 52. victim +1, villain -1, weapon -4
75 33. villain -1, place -5, victim
You can check your answers for this puzzle on GeoChecker.com.