Amerijet does not appear to have a reciprocal jumpseat agreement with Delta (at least I cannot find them on the list). They were not on the NWA list, either. NWA used to keep a current list of approved airlines in the FOM. Delta has chosen not to do that in their FOM, so there is no way to readily verify jumpseat eligilibity. Makes it tough on the Captain to verify the privilege is not being abused.