Bumping an old discussion... updating info....
I saw a guest looking at this older thread on LED replacements for F13/T5 fluorecents such as the bottle door lamp on a V81, etc. & found these on Amazon lately... these are fully ballast compatible ( no rewiring needed although you may have to modify the starter circuit and the ballast must be in working condition, be aware that some of the replacements are like 950 lumens ( about 1.5-2.0 X brighter) which is far brighter than the original fluorescent lamp & can be too much light ( believe it or not) also chose your color range carefully the warm white & cool white seem to be closest to original lamps, the daylight is a very bright white with more "blue" in it & can make colors seem "off" / cold
I'm sure other manufactures are available, and also keep in mind that teh length of a measured linear fluorescent bulb is
including the terminal pins.. so here's link to what I've found...
https://www.amazon.com/F13T5CW-Replacement-F13T5-Watts-Lumens/dp/B084SQB96C/ref=psdc_2314207011_t2_B01FC0H17W