I was finally able to find a good looking Asahi-Kogaku Tele-Takumar 135mm f3.5. The prices for these have risen, not many are seen on eBay or from other sources. Now it has arrived and I am pleased. I had the original lens hood and lens cap from an earlier purchase. This one came with generic front cap and m42 rear cap as well as the original m37->m42 adapter. The seller had it marked with m42 mount.
The lens was produced between autum 1953 and winter 1957. It is made in chrome finnised brass, engraved in meters or feet. My copy has feet. It does feel solid and heavy in your hands.
Enclosed are some photos of the lens and some taken with the lens on K-3 with 3de party m37->m42 and original m42->K-adapter. I find the lens to produce fine, pleaseing images, shown are off the camera jpeg, just trimmed. The close-up of the leaves are 100% enlargement of the bush. All on f5.6 or f8. Almost straigt against the sun, flowers without hood, bush is with hood.
Using the lens is a bit odd, just as another has noted before. Due to the way it mounts, and the fact that the whole front rotates as you focus, the preset dial can end up on the "wrong" side, that slows down setting the prset, but once that is done, you just focus, and then close down the aperture to the desired preset value. Having the camera on M makes setting the correct exposure easy. Green button is good to have