[Python] there is some issue when my pc is running this python program, its giving me non-zero...

import math
import sys

limit = 30

def f(x):
if (x - 1)/3 % 1 == 0:
return int((x-1)/3)
else:
return 0

o1 = []
o2 = []
o3 = []
o4 = []
a=1

'o1: '
while a>0 :
if a<(limit+1):
o1.append( (a, f(4**a)) )
a = a+1
else:
a = 0
break

'o2: '
for i in o1:
o2.append( (i[0], f(i[1])) )

po2 = []
while a < len(o2):
if o2[a][1] == 0:
a += 1
continue
po2.append(o2[a])
a +=1
a=0

'o3: '
for i in po2:
o3.append( (i[0], f(i[1])) )

po3 = []
while a < len(o3):
if o3[a][1] == 0:
a += 1
continue
po3.append(o3[a])
a +=1
a=0

'o4: '
for i in po3:
o4.append( (i[0], f(i[1])) )

po4 = []
while a < len(o4):
if o4[a][1] == 0:
a += 1
continue
po4.append(o4[a])
a +=1
a=0

'print'
print(o1)
print()
print(o2)
print(po2)
print()
print(o3)
print(po3)
print()
print(o4)
print(po4)
print(type(o2[29][1]))
print(f(4**30))
print(sys.maxsize) #for me it was 9223372036854775807


For this python code if u manually check the value for o2[28][1] (aka f(f(4**29))) and o2[29][1] (aka f(f(4**30))) they are non integers and thus should be zero in the list, but wen running the code its giving non zero values on the list, I checked sys.maxsize but its still larger than 4**29 and 4**30. Why is it happening like this and can some one show how to fix it?

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