There are at least 3 versions of the Chinon 55mm f1.4 in M42 mount. One was originally marked Auto Chinon Tomioka 55mm f1.4, and later simply called Auto Chinon 55mm f1.4, and the last version had multi-coating applied. All of these version were either made by Tomioka or designed by them. I believe this lens also came in Pentax K-Mount. A 55mm f1.4 Tomioka lens will fetch two to three times the amount of money then a lens simply called Auto Chinon 55mm f1.4, being the exact same lens. To a lens collector, this might make a difference, but if you are just buying the lens to make photographs, it makes no sense to pay more.
The Chinon Brothers
For the Chinon 55mm f1.7, there are also multiple versions. The original M42 version did not have multi-coating, and later ones did. This lens also came in Pentax K-Mount.
In Part II, we will compare the images from the two lenses.