As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
AFTER TAKE OFF RETRACTED GEAR. NOSE GEAR RED LIGHT ILLUMINATED. WHEELS CONTINUED TO ROTATE. PUT GEAR HANDLE DOWN AND RECEIVED THREE GREEN SAFE INDICATIONS. RETURNED TO LAX AND LANDED WITHOUT INCIDENT. REPLACED NOSE GEAR STRUT PISTON AND SCHRADER VALVE. SYSTEM GROUND CHECKED NORMAL OPERATION.