Python global variable changes depending on how script is run

global a refers to the name a in the glbltest module's namespace. When you set a by hand, it refers to the name a in the __main__ module's namespace.

When you use from glbltest import * the names in the module are imported into the __main__ module's namespace. Those are different names but refer to the same objects. When you use global a and a = [20,30,40] in the glbltest module, assignment makes a new object that a in glbltest module's namespace now refers to. The name a in the __main__ module still refers to the original object (the empty list).

As a simple example, print the id() of a in the fun() function, and print(id(a)) "by hand" after you set it:

a = []

def fun():
    global a
    print(a, id(a))
    a = [20,30,40]
    print(a, id(a))

# To view the global a object id again
def show():
    print(a, id(a))

"by hand", with comments:

>>> from glbltest import *
>>> a                        # the imported name
[]
>>> id(a)                    # its object ID
2056911113280
>>> fun()
[] 2056911113280             # start of fun() the object is the same ID
[20, 30, 40] 2056902829312   # but assignment changes to new object (different ID)
>>> a
[]                           # main a still refers to original object
>>> id(a)
2056911113280
>>> show()                   # glbltest module still sees *its* global a
[20, 30, 40] 2056902829312

Note that if you use mutation vs. assignment to change the existing object. You'll see the change:

a = []

def fun():
    global a
    print(a, id(a))
    a.extend([20,30,40])  # modify existing object, not assigning a new object.
    print(a, id(a))

# To view the global a object id again
def show():
    print(a, id(a))

Now the object IDs remain the same.

>>> from glbltest import *
>>> a, id(a)                 # import object
([], 1408887112064)
>>> fun()                    
[] 1408887112064             # before change still the same object
[20, 30, 40] 1408887112064   # mutated the *existing* list
>>> a, id(a)
([20, 30, 40], 1408887112064)  # main's 'a' refers to the same object, same ID
>>> show()
[20, 30, 40] 1408887112064     # glbltest refers to the same object, same ID

It's a bit more obvious that the names are different if you just import the module and the module's a can be referred to directly as glbltest.a.

a = []

def fun():
    global a
    a = [20,30,40]

>>> import glbltest
>>> glbltest.a
[]
>>> a = 5   # main's a
>>> a
5
>>> glbltest.a   # module's a
[]
>>> glbltest.fun()
>>> a           # main's a doesn't change
5
>>> glbltest.a  # module's a does.
[20, 30, 40]