Please solve the programming task below using a self-contained code snippet in a markdown code block.

An integer n is strictly palindromic if, for every base b between 2 and n - 2 (inclusive), the string representation of the integer n in base b is palindromic.
Given an integer n, return true if n is strictly palindromic and false otherwise.
A string is palindromic if it reads the same forward and backward.
 
Please complete the following python code precisely:
```python
class Solution:
    def isStrictlyPalindromic(self, n: int) -> bool:
```