1) Cpython: The base of all these implementation is Cpython or more formally known as python (Yeah its True your Python is actually Cpython). Cpython is de-facto reference Python implementation. Some implementations may extend behavior or features in some aspects or re-implementations language that do not depend or interact with the CPython runtime core but reuses the standard library implementation of Cpython. Since Cpython is standard to implement python someone can implement it to be compiled or to be interpreted according to their requirements.
Python website categories all other implementations as Alternative Implementations(Rightly so).
A commercial distribution for numerical analysis – free for non-commercial use
Enables writing C extensions for the Python easy, calling C functions and declaring C types variables.
A bridge between the Ruby and Python interpreters. It embeds a running Python interpreter in the Ruby applications.
A portable scientific Python distribution for Windows. same as python(x,y)
Python 3000 (Py3k)
Its nothing but your Python 3
For development and deployment of desktop applications
Language bridge for Python and Objective-C.
Commercial scientific python implementation.
Combines all the advantages of Qt and Python.