Thanks for the input everyone. I am not quite at the point where I want to run a new line yet. Maybe the repair kit (reasonably priced) that Gerry found will provide a good interim patch. If anyone else has the same problem, I will outline what I did if you want to try it.
Repair attempts
1. I spoke with a telecom guy who suggested heating the two ends and sticking them together without getting a build up of carbon on the filaments. That didn't work.
2. Tried just a plain butt splice wrapped in various directions with electrical tape to hold the ends together then covered with heat shrink tubing. Worked but with loss of illumination as expected.
3. Took it all apart, and cleaned up the heated electrical tape goo. Trimmed insulation on piece of optics wire back about 1/8". On the opposite piece trimmed the optics back so that I had more insulation. The optics of one piece will now slide into the insulation of the other. Cut the head off of straight pin and slid between the optics and the insulation across the joint to provide rigidity. Tied some thread on one side, wrapped and CA'ed it to the outside insulation. Brought the piece of thread to the other side and did the same thing, which now holds compression on the joint. Wrapped the joint with a small piece of aluminum foil, slid about 3 inches of heat shrink over the whole thing and heated it up. Worked with results better than in #2. I estimate about a 20% loss comparing the two lights on the console.
Repair attempts
1. I spoke with a telecom guy who suggested heating the two ends and sticking them together without getting a build up of carbon on the filaments. That didn't work.
2. Tried just a plain butt splice wrapped in various directions with electrical tape to hold the ends together then covered with heat shrink tubing. Worked but with loss of illumination as expected.
3. Took it all apart, and cleaned up the heated electrical tape goo. Trimmed insulation on piece of optics wire back about 1/8". On the opposite piece trimmed the optics back so that I had more insulation. The optics of one piece will now slide into the insulation of the other. Cut the head off of straight pin and slid between the optics and the insulation across the joint to provide rigidity. Tied some thread on one side, wrapped and CA'ed it to the outside insulation. Brought the piece of thread to the other side and did the same thing, which now holds compression on the joint. Wrapped the joint with a small piece of aluminum foil, slid about 3 inches of heat shrink over the whole thing and heated it up. Worked with results better than in #2. I estimate about a 20% loss comparing the two lights on the console.